tag:blogger.com,1999:blog-32454374317412940022024-02-07T18:36:52.510-03:00Matematica online RJEsse blog você vai conhece mundo da matematica e sabe troques de contas.Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.comBlogger32125tag:blogger.com,1999:blog-3245437431741294002.post-52389262429888607092020-02-07T09:54:00.000-03:002020-02-07T09:54:08.161-03:00Sistema Binário <div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: left;">
<b>Claro todos estão costumados com números decimais 123456789..</b></div>
<b><br /></b>
<b>Mas sistema Binário.</b><br />
<b><br /></b>
<b>È sistema onde nos temos duas bases</b><br />
<b>0100101010..</b><br />
<b><br /></b>
<b>Se reparar bem é sequencia onde temos apenas 01 se repetindo varias vezes.</b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqjLF7pCZfEmPK7ifJBdr2esn1yYK-bfX_uB-qO1iBKLnPTKT3sFNY9yBIHbD9Ui1S95lcXh0tXLOcqX4HnSIrPniJfS8f55FyMl3-QU63ey2qIlO-jJvAt5jT0tur2TBnppwt1kjft1Q/s1600/Caculo.png" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="246" data-original-width="370" height="209" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhqjLF7pCZfEmPK7ifJBdr2esn1yYK-bfX_uB-qO1iBKLnPTKT3sFNY9yBIHbD9Ui1S95lcXh0tXLOcqX4HnSIrPniJfS8f55FyMl3-QU63ey2qIlO-jJvAt5jT0tur2TBnppwt1kjft1Q/s320/Caculo.png" width="320" /></a></div>
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<b>Visto exemplo assim como é feito conversão do dezenas para Binário. </b></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-43137560265618571142019-10-06T23:22:00.002-03:002020-02-07T09:53:28.854-03:00Silogismo<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O silogismo determina um argumento ou um raciocínio dedutivo, o qual é formado por três proposições que estão interligadas.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Na filosofia, o silogismo é uma doutrina pertencente à lógica aristotélica e que está baseada na dedução.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Aristóteles (384 a.C.-322 a.C.) utilizou esse método nos estudos da argumentação lógica.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A teoria do silogismo foi apresentada por ele na sua obra “<em style="box-sizing: border-box;">Analytica Priora</em>” (Primeiros Analíticos).</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Você Sabia?</span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Do grego, o termo silogismo (<em style="box-sizing: border-box;">syllogismos</em>) significa “conclusão” ou “inferência”.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Exemplos de Silogismo</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Exemplo 1</span>:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todo homem é mortal.<br />
Sócrates é homem.<br />
Sócrates é mortal.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Exemplo 2</span>:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todo brasileiro é sul-americano.<br />
Todo nordestino é brasileiro.<br />
Logo, todo nordestino é sul-americano.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Exemplo 3</span>:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todo político é mentiroso.<br />
José é político.<br />
Logo, José é mentiroso.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Composição do Silogismo Aristotélico</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A primeira e a segunda proposições são chamadas de premissas e a última é a conclusão:</div>
<ul style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; margin: 15px 0px 15px 5px; max-width: 685px; outline: 0px; padding: 0px 0px 0px 20px; vertical-align: baseline;">
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Premissa Maior</span> (P<span style="bottom: -0.25em; box-sizing: border-box; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">1</span>): declaratória, donde todo <em style="box-sizing: border-box;">M</em> é <em style="box-sizing: border-box;">P</em>.</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Premissa Menor</span> (P<span style="bottom: -0.25em; box-sizing: border-box; font-size: 12px; line-height: 0; position: relative; vertical-align: baseline;">2</span>): indicativa, donde <em style="box-sizing: border-box;">S</em> é <em style="box-sizing: border-box;">M</em>.</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Conclusão</span>: a união das duas primeiras premissas, é possível deduzir a terceira proposição, donde <em style="box-sizing: border-box;">S</em> é <em style="box-sizing: border-box;">P</em>.</li>
</ul>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Termos do Silogismo</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O silogismo é constituído de <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">três termos</span>:</div>
<ul style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; margin: 15px 0px 15px 5px; max-width: 685px; outline: 0px; padding: 0px 0px 0px 20px; vertical-align: baseline;">
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Termo Maior</span>: também chamado de extremo maior, ele surge na premissa maior, sendo o termo predicado da conclusão. É representado por <em style="box-sizing: border-box;">P</em>.</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Termo Menor</span>: também chamado de extremo menor, ele surge na premissa menor, sendo o termo sujeito da conclusão. É representado por <em style="box-sizing: border-box;">S</em>.</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Termo Médio</span>: ele aparece em ambas as premissas, entretanto, não aparece na conclusão. É representado por <em style="box-sizing: border-box;">M</em>.</li>
</ul>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Falso Silogismo</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A falácia é considerada um “falso silogismo” uma vez que ela é inválida na construção de silogismo categóricos.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Sendo assim, a falácia trata-se de um argumento enganoso, uma ideia equivocada ou uma crença falsa.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Exemplo</span>:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Todos</span> os cisnes não são negros.<br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Alguns</span> pássaros são cisnes.<br />
Logo, <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">todos</span> os pássaros não são negros.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Para que as proposições acima sejam consideradas um silogismo, a conclusão deveria ser: Alguns pássaros não são negros.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Isso porque a conclusão do silogismo sempre segue a premissa negativa ou particular, e nesse caso, “alguns”.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Regras para Construção do Silogismo</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Devemos ter em conta que existem algumas regras para a construção do silogismo categórico, ou seja, para que eles sejam válidos e não caiam no problema da falácia.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="CMmLwqCLieUCFcF-wQod7yAFnQ" id="todamateria_inarticle_mrec1" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="google_ads_iframe_/1062898/todamateria_inarticle_mrec1_0__container__" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0pt none; box-sizing: border-box; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 586.656px;">
<iframe data-google-container-id="3" data-load-complete="true" frameborder="0" height="250" id="google_ads_iframe_/1062898/todamateria_inarticle_mrec1_0" marginheight="0" marginwidth="0" name="google_ads_iframe_/1062898/todamateria_inarticle_mrec1_0" scrolling="no" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px auto; vertical-align: bottom;" title="3rd party ad content" width="300"></iframe></div>
</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Em relação aos <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">termos do silogismo</span> temos:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">1</span>. Os três termos (maior, menor e médio) utilizados para a construção de um silogismo devem ter o mesmo sentido:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">leão</span> é um mamífero.<br />
Algumas pessoas são de <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">leão</span>.<br />
Logo, algumas pessoas são mamíferos.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nesse caso, o termo “leão” foi utilizado em dois sentidos: o animal e o signo. Não é válido esse silogismo pois contém quatro termos: leão (animal); leão (signo); mamíferos e pessoas.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">2</span>. Na conclusão de um silogismo, o termo médio não aparece, somente o termo maior e o menor:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nenhum <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">canídeo</span> é felino.<br />
Todo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">canídeo</span> é carnívoro.<br />
Logo, este <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">canídeo</span> não é carnívoro felino.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Assim, o exemplo acima não é um silogismo e sim uma falácia formal.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">3</span>. Em toda sua extensão, o termo médio deve aparecer pelo menos uma vez:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todas as frutas são <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">vegetais.</span><br />
Todas as verduras são <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">vegetais.</span><br />
Logo, todas as verduras são frutas.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nesse caso de falácia formal, temos que os vegetais (como fruta ou verduras) são uma parte da extensão total dos vegetais.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">4</span>. Na conclusão do silogismo, os termos maior e menor não podem surgir com uma extensão maior que nas premissas:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todo ato violento é condenável.<br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Muitos seres humanos</span> cometem atos violentos.<br />
Logo, <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">todos os seres humanos</span> são condenáveis.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nesse caso, a conclusão do silogismo deveria ser: Muitos seres humanos são condenáveis.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="CL2FuqGLieUCFUJlwQodYIsB1Q" id="div-gpt-sg-96c63ecfe9c5cfec44384c5073cc79cd" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="google_ads_iframe_/1062898/todamateria_inarticle_mrec2_0__container__" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0pt none; box-sizing: border-box; display: inline-block; height: 280px; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 336px;">
<iframe data-google-container-id="4" data-is-safeframe="true" data-load-complete="true" frameborder="0" height="280" id="google_ads_iframe_/1062898/todamateria_inarticle_mrec2_0" marginheight="0" marginwidth="0" name="" sandbox="allow-forms allow-pointer-lock allow-popups allow-popups-to-escape-sandbox allow-same-origin allow-scripts allow-top-navigation-by-user-activation" scrolling="no" src="https://tpc.googlesyndication.com/safeframe/1-0-35/html/container.html" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px auto; vertical-align: bottom;" title="3rd party ad content" width="336"></iframe></div>
</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Em relação as <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">proposições do silogismo</span>, temos:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">5</span>. Quando um silogismo apresenta duas premissas afirmativas, a conclusão deverá ser afirmativa também:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Todos os felinos são mamíferos.<br />
Todos os mamíferos são vertebrados.<br />
Logo, alguns vertebrados <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">não são</span> felinos.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nesse exemplo, a conclusão do silogismo deveria ser: Alguns vertebrados são felinos.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">6</span>. Quando um silogismo apresenta duas premissas negativas, não se pode concluir nada:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Nenhuma</span> mãe é insensível.<br />
Algumas mulheres <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">não são</span> mães.<br />
Logo, algumas mulheres são insensíveis.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nesse caso de falácia formal, tem-se uma conclusão injustificada e portanto não é um silogismo.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">7</span>. Quando um silogismo apresenta duas premissas particulares não é possível concluir nada:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Alguns</span> vendedores não são honestos.<br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Alguns</span> brasileiros são vendedores.<br />
Logo, alguns brasileiros não são honestos.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Temos acima um exemplo que viola a regra de silogismo, a partir de uma prova inconclusiva.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">8</span>. A conclusão de um silogismo sempre seguirá a parte mais fraca, ou seja, a premissa negativa e/ou particular:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Todos</span> os gatos não são brancos.<br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Alguns</span> felinos são gatos.<br />
Logo, <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">todos</span> os felinos não são brancos.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="CN_OuKSLieUCFQ1uwQodKxYCGw" id="div-gpt-sg-13ff9163a6c972bf473ada3e2fb562d4" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="google_ads_iframe_/1062898/todamateria_inarticle_mrec3_0__container__" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0pt none; box-sizing: border-box; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 586.656px;">
<iframe data-google-container-id="5" data-load-complete="true" frameborder="0" height="250" id="google_ads_iframe_/1062898/todamateria_inarticle_mrec3_0" marginheight="0" marginwidth="0" name="google_ads_iframe_/1062898/todamateria_inarticle_mrec3_0" scrolling="no" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px auto; vertical-align: bottom;" title="3rd party ad content" width="300"></iframe></div>
</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
No exemplo acima, a conclusão do silogismo deveria ser: Alguns felinos não são brancos.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Tipos de Silogismo</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Segundo o Silogismo Aristotélico, há dois tipos de silogismo:</div>
<ul style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; margin: 15px 0px 15px 5px; max-width: 685px; outline: 0px; padding: 0px 0px 0px 20px; vertical-align: baseline;">
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Silogismo Dialético</span>: baseado em juízos hipotéticos ou incertos. Nesse caso, o silogismo é usado nos estudos da retórica e da persuasão e refere-se as opiniões.</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Silogismo Científico</span>: baseado em argumentos científicos, os quais contêm o valor de verdade seja nas premissas e nas conclusões.</li>
</ul>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Silogismo Jurídico</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Na área do direito, o silogismo é utilizado como ferramenta para conclusão de fatos. Esse tipo de silogismo é classificado em:</div>
<ul style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; margin: 15px 0px 15px 5px; max-width: 685px; outline: 0px; padding: 0px 0px 0px 20px; vertical-align: baseline;">
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;">Apresentação da premissa maior</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;">Apresentação dos fatos</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;">Conclusão pela legislação</li>
</ul>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Exemplo de silogismo jurídico</span>:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Matar alguém é crime e o assassino deve ser punido.<br />
Joana matou alguém.<br />
Logo, Joana deve ser punida.</div>
</div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-73270025394515809392019-10-06T23:19:00.002-03:002019-10-06T23:23:10.430-03:00Lógica da Matemática<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">lógica matemática</span> analisa determinada proposição buscando identificar se representa uma afirmação verdadeira ou falsa.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A princípio, a lógica era ligada à filosofia, tendo sido iniciada por Aristóteles (384-322 a.C.) que se baseava na teoria do silogismo, ou seja, em argumentações válidas.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A lógica só passou a ser uma área da Matemática a partir dos trabalhos de George Boole (1815-1864) e Augustus de Morgan (1806-1871), quando eles apresentaram os fundamentos da lógica algébrica.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Essa mudança de paradigma tornou a lógica matemática uma importante ferramenta para a programação de computadores.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Proposições</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
As proposições são palavras ou símbolos que expressam um pensamento com um sentido completo e indicam afirmações de fatos ou de ideias.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Essas afirmações assumem valores lógicos que podem ser verdadeiros ou falsos e para representar uma proposição usualmente utilizamos as letras <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">p</span> e <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">q.</span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
São exemplos as proposições:</div>
<ul style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; margin: 15px 0px 15px 5px; max-width: 685px; outline: 0px; padding: 0px 0px 0px 20px; vertical-align: baseline;">
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;">O Brasil está localizado na América do Sul. (proposição verdadeira).</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;">A Terra é um dos planetas do sistema solar. (proposição verdadeira).</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><img alt="1 meio igual a 0 vírgula 5" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mn»1«/mn»«mn»2«/mn»«/mfrac»«mo»=«/mo»«mn»0«/mn»«mo»,«/mo»«mn»5«/mn»«/math»" height="35" role="math" src="data:image/png;base64,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" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="60" />.(proposição verdadeira).</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;">A Terra é plana. (proposição falsa).</li>
<li style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; line-height: 1.625; margin: 0px; outline: 0px; padding: 0.25em 0px; vertical-align: baseline;"><img alt="raiz quadrada de 2 igual a 1" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msqrt»«mn»2«/mn»«/msqrt»«mo»=«/mo»«mn»1«/mn»«/math»" height="19" role="math" src="data:image/png;base64,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" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="53" />. (proposição falsa)</li>
</ul>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Considerando a lógica matemática, uma proposição não pode ser ao mesmo tempo verdadeira e falsa. Além disso, não existe a possibilidade de uma terceira situação diferente de verdadeiro ou falso.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
As proposições podem ser simples, quando apresentam apenas uma sentença, e compostas quando são formadas pela combinação de duas ou mais proposições simples.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="COKFtM-KieUCFYtiwQod4RgEOQ" id="todamateria_inarticle_mrec1" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="preloader-wrap" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; display: inline-block; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 586.656px;">
<div id="preloader-videoplayer" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline; width: 586.656px;">
<div id="preloader-contentplayer" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">
</div>
<div id="preloader-adcontainer" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; height: 250px; margin: 0px auto; outline: 0px; padding: 0px; vertical-align: baseline; width: 300px;">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; height: 250px; margin: 0px; outline: 0px; padding: 0px; position: absolute; vertical-align: baseline; width: 300px;">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; height: 250px; left: 0px; margin: 0px; outline: 0px; padding: 0px; position: absolute; top: 0px; vertical-align: baseline; width: 300px;">
</div>
</div>
<iframe allow="autoplay" allowfullscreen="" height="250" src="https://imasdk.googleapis.com/js/core/bridge3.337.1_pt_br.html#goog_1595231206" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px; opacity: 1; padding: 0px; position: relative;" width="300"></iframe></div>
</div>
</div>
</div>
</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
"O céu é azul" é um exemplo de proposição simples, já a sentença "O céu é azul e as nuvens são brancas" é um exemplo de proposição composta.</div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Conectivos</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
As proposições simples que formam uma proposição composta são ligadas por elementos que são chamados de conectivos. Além disso, também podemos utilizar conectivos para modificar uma proposição.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Na proposição "O céu é azul e as nuvens são brancas" o elemento <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">e</span> é um conectivo que une duas proposições, já na proposição "O céu não é azul" o conectivo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">não</span> modifica a proposição.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Tabela Verdade</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Quando temos proposições compostas, os valores lógicos resultantes dependem única e exclusivamente dos valores de cada proposição simples.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Diante disso, utilizamos um dispositivo chamado <a href="https://www.todamateria.com.br/tabela-verdade/" style="border-bottom: 0.08em solid rgba(0, 0, 0, 0.1); box-sizing: border-box; color: #337ab7; text-decoration-line: none;">tabela verdade</a> ou tabela de verdade, onde são colocados os valores de cada proposição e de acordo com os conectivos presentes chegamos ao valor lógico final.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Em uma tabela verdade, o número de linhas e de colunas dependerá da quantidade de proposições simples que formam a proposição composta, sendo que em cada coluna é colocada uma proposição.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Abaixo apresentamos a tabela verdade para duas, três e quatro proposições:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Tabela Verdade" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/lo/gi/logicatabela.jpg" height="487" sizes="587px" src="https://static.todamateria.com.br/upload/lo/gi/logicatabela.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="630" /></div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Operações Lógicas</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
As operações feitas a partir de proposições são chamadas de operações lógicas. Este tipo de operação segue as regras do chamado cálculo proposicional.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
As operações lógicas fundamentais são: negação, conjunção, disjunção, condicional e bicondicional.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="CL_XwM-KieUCFQtVwQodvyMPRg" id="div-gpt-sg-96c63ecfe9c5cfec44384c5073cc79cd" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="google_ads_iframe_/1062898/todamateria_inarticle_mrec2_0__container__" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0pt none; box-sizing: border-box; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 586.656px;">
<iframe data-google-container-id="4" data-load-complete="true" frameborder="0" height="280" id="google_ads_iframe_/1062898/todamateria_inarticle_mrec2_0" marginheight="0" marginwidth="0" name="google_ads_iframe_/1062898/todamateria_inarticle_mrec2_0" scrolling="no" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px auto; vertical-align: bottom;" title="3rd party ad content" width="336"></iframe></div>
</div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Negação</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Esta operação representa o valor lógico oposto de uma dada proposição. Desta forma, quando uma proposição é verdadeira, a não proposição será falsa.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Com o objetivo de indicar a negação de uma proposição colocamos o símbolo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">~</span> na frente da letra que representa a proposição, assim, <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">~</span>p significa a negação de p.</div>
<h4 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #4c4c4c; font-family: OpenSans, sans-serif; font-size: 1.125rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Exemplo</h4>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
p: Minha filha estuda muito.<br />
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">~</span>p: Minha filha não estuda muito.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Como o valor lógico da não proposição é o inverso da proposição, teremos a seguinte tabela verdade:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Lógica negação" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/lo/gi/logicanegacao1.jpg" height="140" sizes="180px" src="https://static.todamateria.com.br/upload/lo/gi/logicanegacao1.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="180" /></div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Conjunção</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A conjunção é utilizada quando entre as proposições existe o conectivo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">e. </span>Esta operação será verdadeira quando todas as proposições forem verdadeiras.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O símbolo utilizado para representar essa operação é o <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">^</span>, colocado entre as proposições. Desta forma, quando temos p<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"> ^</span> q, significa "p e q".</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Desta forma, a tabela verdade desse operador lógico será:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Lógica conjunção" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/lo/gi/logicaconjuncao.jpg" height="209" sizes="234px" src="https://static.todamateria.com.br/upload/lo/gi/logicaconjuncao.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="234" /></div>
<h4 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #4c4c4c; font-family: OpenSans, sans-serif; font-size: 1.125rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Exemplo:</h4>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Sendo p: 3 + 4 = 7 e q: 2 + 12 = 10 qual o valor lógico de p ^ q?</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Solução</span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A primeira proposição é verdadeira, mas a segunda é falsa. Portanto, o valor lógico de p e q será falso, pois esse operador só será verdadeiro quando ambas as sentenças forem verdadeiras.</div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Disjunção</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Nesta operação, o resultado será verdadeiro quando pelo menos uma das proposições é verdadeira. Sendo assim, será falso apenas quando todas as proposições forem falsas.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="CKuCwtyKieUCFZhuwQoddMgIPQ" id="div-gpt-sg-13ff9163a6c972bf473ada3e2fb562d4" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="google_ads_iframe_/1062898/todamateria_inarticle_mrec3_0__container__" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0pt none; box-sizing: border-box; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 586.656px;">
<iframe data-google-container-id="5" data-load-complete="true" frameborder="0" height="280" id="google_ads_iframe_/1062898/todamateria_inarticle_mrec3_0" marginheight="0" marginwidth="0" name="google_ads_iframe_/1062898/todamateria_inarticle_mrec3_0" scrolling="no" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px auto; vertical-align: bottom;" title="3rd party ad content" width="336"></iframe></div>
</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A disjunção é usada quando entre as proposições existe o conectivo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">ou </span>e para representar esta operação é usado o símbolo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">v </span>entre as proposições, assim, p<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"> v</span> q significa "p ou q".</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Levando em consideração que se uma das proposições for verdadeira o resultado será verdadeiro, temos a seguinte tabela verdade:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Lógica disjunção" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/lo/gi/logicadisjuncao.jpg" height="212" sizes="239px" src="https://static.todamateria.com.br/upload/lo/gi/logicadisjuncao.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="239" /></div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Condicional</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A condicional é a operação realizada quando na proposição utiliza-se o conectivo <span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">se... então.... </span>Para representar esse operador usamos o símbolo →. Assim, p → q significa "se p, então q".</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O resultado desta operação só será falso quando a primeira proposição for verdadeira e a consequente for falsa.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
É importante ressaltar que uma operação condicional não significa que uma proposição é a consequência da outra, o que estamos tratando é apenas de relações entre valores lógicos.</div>
<h4 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #4c4c4c; font-family: OpenSans, sans-serif; font-size: 1.125rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Exemplo</h4>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Qual o resultado da proposição "Se um dia tem 20 horas, então um ano tem 365 dias"?</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Solução</span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Sabemos que um dia não tem 20 horas, logo essa proposição é falsa, também sabemos que um ano tem 365 dias, logo essa proposição é verdadeira.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Desta forma, o resultado será verdadeiro, pois o operador condicional só será falso quando a primeira for verdadeira e a segunda falsa, que não é o caso.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A tabela verdade para esse operador será:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Lógica condicional" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/lo/gi/logicacondicional.jpg" height="212" sizes="259px" src="https://static.todamateria.com.br/upload/lo/gi/logicacondicional.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="259" /></div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Bicondicional</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O operador bicondicional é representado pelo símbolo <img alt="seta para a esquerda e para a direita" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8596;«/mo»«/math»" height="10" role="math" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABgAAAAKCAYAAACuaZ5oAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAFdJREFUeNpjYMAP1IC4Fo88SE6FgUwQCcSfgHg5HjXLoWoiSTGYA4hnA/F/IL5AwIUgH16Cqp0N1UsQrIFqIAevItUHV6CuJNYHbIMiDpCBCi1T0SgAAwBvdiP7VoWaFAAAAFB0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+JiN4MjE5NDs8L21vPjwvbWF0aD5UqPd+AAAAAElFTkSuQmCC" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px !important; box-shadow: none !important; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="24" />e indica uma proposição do tipo ...se e somente se.... Portanto, <img alt="p seta para a esquerda e para a direita q" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»p«/mi»«mo»§#8596;«/mo»«mi»q«/mi»«/math»" height="12" role="math" src="data:image/png;base64,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" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px !important; box-shadow: none !important; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="46" /> significa "p se e somente se q", ou seja, p é condição necessária e suficiente para q.</div>
<div class="ad-unit ad-unit--pt-br" data-google-query-id="CI-I596KieUCFR5mwQod_rIDrQ" id="div-gpt-sg-598fdf3b0501decb8d06c1ae77675921" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; display: inline-block; float: none; font-family: OpenSans, sans-serif; font-size: 16px; height: auto; margin: 10px 0px; max-width: 685px; outline: 0px; padding: 20px 0px 10px; text-align: center; vertical-align: baseline; width: 586.656px;">
<div id="google_ads_iframe_/1062898/todamateria_inarticle_mrec4_0__container__" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0pt none; box-sizing: border-box; margin: 0px auto; outline: 0px; padding: 0px; position: relative; vertical-align: baseline; width: 586.656px;">
<iframe data-google-container-id="6" data-load-complete="true" frameborder="0" height="250" id="google_ads_iframe_/1062898/todamateria_inarticle_mrec4_0" marginheight="0" marginwidth="0" name="google_ads_iframe_/1062898/todamateria_inarticle_mrec4_0" scrolling="no" style="border-style: initial; border-width: 0px; box-sizing: border-box; display: block; margin: 0px auto; vertical-align: bottom;" title="3rd party ad content" width="300"></iframe></div>
</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Ao usar esse operador, a sentença será verdadeira quando as proposições forem ambas verdadeiras ou ambas falsas.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Os possíveis resultados que podemos encontrar ao usar esse operador estão na tabela abaixo:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Lógica bidirecional" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/lo/gi/logicabidirecional.jpg" height="211" sizes="259px" src="https://static.todamateria.com.br/upload/lo/gi/logicabidirecional.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="259" /></div>
<h4 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #4c4c4c; font-family: OpenSans, sans-serif; font-size: 1.125rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Exemplo</h4>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Qual o resultado da proposição "3<span style="box-sizing: border-box; font-size: 12px; line-height: 0; position: relative; top: -0.5em; vertical-align: baseline;">0</span> = 2 se somente se 2 + 5 = 3"?</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<span style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; font-weight: 700; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Solução</span></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
A primeira igualdade é falsa, pois 3<span style="box-sizing: border-box; font-size: 12px; line-height: 0; position: relative; top: -0.5em; vertical-align: baseline;">0</span> = 1 e a segunda também é falsa (2 + 5 = 7), desta maneira, como ambas são falsas, então, o valor lógico da proposição é verdadeiro.</div>
</div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-19411283622797032872019-10-06T23:15:00.001-03:002019-10-06T23:15:41.824-03:00Diagrama de Venn<div dir="ltr" style="text-align: left;" trbidi="on">
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; margin-top: 20px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O diagrama de Venn é uma forma gráfica que representa os elementos de um conjunto. Para fazer essa representação utilizamos formas geométricas.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Para indicar o conjunto universo, normalmente usamos um retângulo e para representar subconjuntos do conjunto universo empregamos círculos. Dentro dos círculos são incluídos os elementos do conjunto.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Quando dois conjuntos possuem elementos em comum, os círculos são desenhados com uma área de intersecção.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Diagrama de Venn" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/di/ag/diagrama1.jpg" height="331" sizes="587px" src="https://static.todamateria.com.br/upload/di/ag/diagrama1.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="630" /></div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O diagrama de Venn recebe esse nome em homenagem ao matemático britânico John Venn (1834-1923) e foi concebido para representar operações entre conjuntos.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Além de ser aplicado em conjuntos, o diagrama de Venn é empregado nas mais diversas áreas do conhecimento como por exemplo lógica, estatística, ciências da computação, ciências sociais, entre outras.</div>
<h2 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.8em; line-height: 1.3; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Relação de inclusão entre conjuntos</h2>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Quando todos os elementos de um conjunto A também são elementos de um conjunto B, dizemos que o conjunto A é subconjunto de B, ou seja o conjunto A é parte do conjunto B.</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Indicamos este tipo de relação por <img alt="A subconjunto B" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»A«/mi»«mo»§#8834;«/mo»«mi»B«/mi»«/math»" height="13" role="math" src="data:image/png;base64,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" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px !important; box-shadow: none !important; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="39" /> e lemos "A está contido em B". Podemos usar ainda <img alt="B superconjunto A" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»B«/mi»«mo»§#8835;«/mo»«mi»A«/mi»«/math»" height="13" role="math" src="data:image/png;base64,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" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px !important; box-shadow: none !important; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="39" /> que representa "B contém A".</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
Para representar a relação de inclusão através do diagrama de Venn, colocamos um círculo dentro de um outro círculo para indicar que um conjunto é subconjunto do outro.</div>
<h3 style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 1.375rem; margin: 0px; max-width: 685px; outline: 0px; padding: 1em 0px 0.5em; vertical-align: baseline;">
Exemplo</h3>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
O conjunto B dos meses do ano que começam com a letra J é um subconjunto do conjunto A dos meses do ano. Assim, podemos representar esses conjuntos através do diagrama de Venn, conforme imagem abaixo:</div>
<div style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: border-box; color: #404040; font-family: OpenSans, sans-serif; font-size: 16px; line-height: 1.75; margin-bottom: 15px; max-width: 685px; outline: 0px; padding: 0px; vertical-align: baseline;">
<img alt="Subconjunto diagrama de Venn" class="lazyautosizes lazyloaded" data-sizes="auto" data-src="https://static.todamateria.com.br/upload/su/bc/subconjunto1.jpg" height="331" sizes="587px" src="https://static.todamateria.com.br/upload/su/bc/subconjunto1.jpg" style="background-attachment: initial; background-clip: initial; background-image: initial; background-origin: initial; background-position: 0px 0px; background-repeat: initial; background-size: initial; border: 0px; box-sizing: content-box; height: auto; margin: 0px; max-width: 100%; outline: 0px; padding: 0px; vertical-align: baseline;" width="630" /></div>
</div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-71926268034654188212019-10-06T23:11:00.003-03:002019-10-06T23:11:40.342-03:00Arranjo Simples <div dir="ltr" style="text-align: left;" trbidi="on">
<div align="justify" style="box-sizing: border-box; font-family: Helvetica, Arial, sans-serif; font-size: 16px;">
Arranjo simples de <em style="box-sizing: border-box;">n</em> elementos tomados <em style="box-sizing: border-box;">p</em> a <em style="box-sizing: border-box;">p</em>, onde<em style="box-sizing: border-box;"> n>=1</em> e <em style="box-sizing: border-box;">p</em> é um número natural, é qualquer ordenação de <em style="box-sizing: border-box;">p</em> elementos dentre os <em style="box-sizing: border-box;">n</em> elementos, em que cada maneira de tomar os elementos se diferenciam pela <span style="box-sizing: border-box; font-weight: 700;">ordem</span> e <span style="box-sizing: border-box; font-weight: 700;">natureza</span> dos elementos. A fórmula para cálculo de arranjo simples é dada por:</div>
<div align="center" style="box-sizing: border-box; font-family: Helvetica, Arial, sans-serif; font-size: 16px;">
<img height="76" src="https://www.somatematica.com.br/emedio/figuras/combinatoria2.gif" style="border: 0px; box-sizing: border-box; max-width: 100%; vertical-align: middle;" width="153" /></div>
<h2 align="justify" style="box-sizing: border-box; font-family: Helvetica, Arial, sans-serif; font-size: 1.3em; font-stretch: normal; font-variant-east-asian: normal; font-variant-numeric: normal; line-height: 20.8px;">
Continuação dos exemplos</h2>
<div align="justify" style="box-sizing: border-box; font-family: Helvetica, Arial, sans-serif; font-size: 16px;">
<img height="149" src="https://www.somatematica.com.br/emedio/figuras/combinatoria3.gif" style="border: 0px; box-sizing: border-box; max-width: 100%; vertical-align: middle;" width="481" /></div>
<div align="justify" style="box-sizing: border-box; font-family: Helvetica, Arial, sans-serif; font-size: 16px;">
<img height="859" src="https://www.somatematica.com.br/emedio/figuras/combinatoria4.gif" style="border: 0px; box-sizing: border-box; max-width: 100%; vertical-align: middle;" width="597" /></div>
</div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-34582602419471009892019-10-06T22:28:00.000-03:002020-02-05T10:08:32.231-03:00Teoria de Conjunto <div dir="ltr" style="text-align: left;" trbidi="on">
<b><span style="font-family: "arial" , "helvetica" , sans-serif;">Teoria de conjunto é uma parte matemática lida exatamente conjunções, também estão presente da logica, possui diversos elementos e formas de conjuntos mais conhecidos são:</span></b><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;"><span style="color: red; font-weight: bold;">Conjunto Universo</span><b> - </b>onde entra todo mundo, ou seja todos elementos , indicado pela letra U </span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;">Ex: </span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;">U - { 1, 2,3,4, 5 ,6,7,9} </span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;">Observação : dentro da teoria não existe "0" ou "10", no caso do dez , ele pertence outra sequencia de numero 1 a 9</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;"><b><span style="color: blue;">Conjunto Unitário </span>- </b> aquele anda sozinho, possui apenas um elemento. </span><br />
<br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"> Ex: A { 9}</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;">Conjunto Vazio - não possui nenhum elemento.</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;"><br /></span>
<span style="font-family: "arial" , "helvetica" , sans-serif;">Elementos - ~são componentes forma conjunto, normalmente são representados por números ou letras.</span><br />
<span style="font-family: "arial" , "helvetica" , sans-serif;">Lembras letras na matemática sao considerados números também. </span></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-4114821712412578392014-05-08T13:58:00.000-03:002014-05-08T14:02:08.146-03:00Algebra: Equação 2° grau<div dir="ltr" style="text-align: left;" trbidi="on">
<b>Diferente equação do 1° grau ensinada deste ao 7°ano no ensino fundamental, a equação utiliza a formula Delta.</b><br />
<b><br /></b>
<b>O que Delta?</b><br />
<b>Em matemática o delta e considerado uma formula mas também é uma forma de descriminante de uma equação.</b><br />
<br />
<span style="font-size: x-large;"><b><i>Veja como é realizada esta equação:</i></b></span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKC2gYvH60nQoJPu7o6aqCGtAflg2iJvaTO7eKULqZBCf8bY-lHny4ndWo4qxFZ1mJnSSLDIebKqA2nL01vKmri-rtjtuvNmQZsFx5B4AcUZ03LA734_KkyMlS9x1a_x4Pxrr_BE3LYmc/s1600/Sem+t%C3%ADtulo.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiKC2gYvH60nQoJPu7o6aqCGtAflg2iJvaTO7eKULqZBCf8bY-lHny4ndWo4qxFZ1mJnSSLDIebKqA2nL01vKmri-rtjtuvNmQZsFx5B4AcUZ03LA734_KkyMlS9x1a_x4Pxrr_BE3LYmc/s1600/Sem+t%C3%ADtulo.jpg" height="482" width="640" /></a></div>
<span style="font-size: x-large;"><b><i>Exitem dois tipos de formação do calculo , completa e não-completa </i></b></span><br />
<span style="font-size: x-large;"><b><i>Na imagem foi usado a formula de bhaskara.</i></b></span><b style="font-size: xx-large;"><i> </i></b></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com1tag:blogger.com,1999:blog-3245437431741294002.post-807392922449876222013-09-03T17:44:00.002-03:002023-12-23T11:09:47.474-03:00Tecnica de logica<div dir="ltr" style="text-align: left;" trbidi="on">
<span face="lucida grande, tahoma, verdana, arial, sans-serif" style="color: #333333; font-size: x-small;"><span style="line-height: 17px;"><b>Técnica</b></span></span><b><span face="'lucida grande', tahoma, verdana, arial, sans-serif" style="background-color: white; color: #333333; font-size: 13px; line-height: 17px;"> de logica em matemática , desenvolvida por Leonardo Gabriel Boente</span></b><br style="background-color: white; color: #333333; font-family: "lucida grande", tahoma, verdana, arial, sans-serif; font-size: 13px; line-height: 17px;" /><b><span face="'lucida grande', tahoma, verdana, arial, sans-serif" style="background-color: white; color: #333333; font-size: 13px; line-height: 17px;">Já conheceu os dois conjuntos: R e N</span><br style="background-color: white; color: #333333; font-family: "lucida grande", tahoma, verdana, arial, sans-serif; font-size: 13px; line-height: 17px;" /><span face="'lucida grande', tahoma, verdana, arial, sans-serif" style="background-color: white; color: #333333; font-size: 13px; line-height: 17px;">Dizem é impossível calcular tabuada , de acordo com estudos cérebro da mente humana não é bem assim...</span><br style="background-color: white; color: #333333; font-family: "lucida grande", tahoma, verdana, arial, sans-serif; font-size: 13px; line-height: 17px;" /><span face="'lucida grande', tahoma, verdana, arial, sans-serif" style="background-color: white; color: #333333; font-size: 13px; line-height: 17px;">em uma tabuada é possível decora com facilidade mas esquecer também com facilidade.</span><span class="text_exposed_show" face="'lucida grande', tahoma, verdana, arial, sans-serif" style="background-color: white; color: #333333; display: inline; font-size: 13px; line-height: 17px;"><br />Pos é assim mente humana , não vai pensando quando termina os estudos , tu não vai ter capacidade lembra o que aprendeu...<br /><br />Com técnica de lógica criada pelo Leonardo Gabriel é possível você não se esquece<br /><br />"5² ou 5x5 = 25" já entendemos isso é uma raiz de 5 , o que acontece se nós subtraímos por 5 kkk<br />5x4 = desconhecido ....<br />25-5 = 20<br />ou podemos soma por 5:<br />25 +5 = 30<br />ou 5x6 = 30</span></b></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-70732106843116498032013-07-29T11:28:00.002-03:002013-07-29T11:29:13.265-03:00Potenciação <div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-size: x-large;"><b>O que é potencia ?</b></span><br />
<span style="font-size: x-large;"><b>Numero multiplicado por ele mesmo ...</b></span><br />
<span style="font-size: x-large;"><b>Ex:</b></span><br />
<span style="font-size: x-large;"><b>5² = 25 ou 5x5 = 25 </b></span><br />
<span style="font-size: x-large;"><b>Dentro potencia existe um jeito de fazer uma prova real...</b></span><br />
<span style="font-size: x-large;"><b>Utilizando uma raiz de 25</b></span><br />
<span style="font-size: x-large;"><b>você pega raiz de 25 veja o valor que será o mesmo valor de 5², é claro sem "²" .</b></span><br />
<br />
<br /></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-72860713772313029332013-04-13T13:23:00.000-03:002013-04-13T13:23:05.311-03:00Teorema de Tales<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<div align="justify" style="color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 20.6875px;">
O Teorema de Tales possui diversas aplicações no cotidiano, que devem ser demonstradas a fim de verificar sua importância. O Teorema diz que “retas paralelas, cortadas por transversais, formam segmentos correspondentes proporcionais”. Através de exercícios aplicados compreenderemos o Teorema. Podemos demonstrar o Teorema através de uma generalização, onde as retas r, s, x são paralelas e as retas t e w são as transversais. Veja:<br /><img alt="" src="http://www.brasilescola.com/upload/e/Untitled-1(18).png" style="border: none; margin-bottom: 4px;" /></div>
<div align="justify" style="color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 20.6875px;">
Pelo Teorema temos que<br /><img alt="" height="43" src="http://www.brasilescola.com/upload/e/Untitled-2(22).jpg" style="border: none; margin-bottom: 4px;" width="78" /><br /><br /><br /><em><strong>Exemplo 1 </strong></em><br />Ao analisar a planta de uma quadra de um determinado condomínio, o engenheiro constatou a ausência de algumas medidas nas divisas de certos lotes residenciais. Ele precisa calcular essas medidas do seu próprio escritório, com base nas informações da planta. Observe o desenho detalhado da situação:<br /><img alt="" height="157" src="http://www.brasilescola.com/upload/e/Untitled-4(13).jpg" style="border: none; margin-bottom: 4px;" width="350" /></div>
<div align="justify" style="color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 20.6875px;">
Com base na planta devemos calcular os lados x e y dos lotes. Veja que as laterais dos lotes 1, 2 e 3 são perpendiculares às ruas A e B. A planta satisfaz a relação de Tales, então podemos utilizar o Teorema.<br /><br /><img alt="" height="132" src="http://www.brasilescola.com/upload/e/Untitled-5(6).jpg" style="border: none; margin-bottom: 4px;" width="71" /><br /><br /><br /><img alt="" height="183" src="http://www.brasilescola.com/upload/e/Untitled-6(8).jpg" style="border: none; margin-bottom: 4px;" width="76" /><br /><br /><em><strong>Exemplo 2</strong></em><br /><br />Ao realizar a instalação elétrica de um edifício, um eletricista observou que os dois fios r e s eram transversais aos fios da rede central demonstrados por a, b, c, d. Sabendo disso, calcule o comprimento x e y da figura.<br />Obs.: os fios da rede central são paralelos.<br /><img alt="" src="http://www.brasilescola.com/upload/e/Untitled-7(6).jpg" style="border: none; margin-bottom: 4px;" /></div>
<div style="color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 20.6875px;">
Aplicando o Teorema de Tales, temos:<br /><br /><img alt="" height="87" src="http://www.brasilescola.com/upload/e/Untitled-8(4).jpg" style="border: none; margin-bottom: 4px;" width="61" /></div>
<div style="color: #333333; font-family: Arial, Helvetica, sans-serif; font-size: 14px; line-height: 20.6875px;">
<img alt="" height="183" src="http://www.brasilescola.com/upload/e/Untitled-9(5).jpg" style="border: none; margin-bottom: 4px;" width="65" /></div>
</div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-6828669521677433282013-04-13T13:11:00.001-03:002013-04-13T13:12:56.054-03:00Racionalização de frações<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-size: large;"><b><i>Racionalização de Frações (Introdução)</i></b></span><br />
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Esta técnica consiste em multiplicar a fração dada por um número que não altere o seu valor (apenas a sua apresentação).</div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Pense comigo, qual o número que pode ser multiplicado por qualquer outro e não altera o valor deste outro número?</div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
- Isso mesmo, 1 (um) :)</div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Qualquer número multiplicado por 1 continua com o mesmo valor, veja os exemplos:</div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<em><strong>5 · 1 = 5</strong></em></div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<em><strong>123 · 1 = 123</strong></em></div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Também sabemos que qualquer fração que tenha o numerador (parte de cima da fração) igual ao denominador (parte de baixo da fração) vale 1:</div>
<table align="center" border="0" cellpadding="10" cellspacing="0" style="background-color: white; color: black; font-family: Arial, Helvetica, sans-serif; font-size: 15px;"><tbody>
<tr><td align="center" valign="middle"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAApBAMAAACSIvcTAAAAJ1BMVEX////V1dXKysq/v7+1tbWpqalubm5hYWFUVFRGRkY4ODgoKCgAAADvdt39AAAAAXRSTlMAQObYZgAAAMFJREFUOMu91DEKAjEQBdCvAXeRFB4h2GyzhQfwJGIhHkELj2Bjb2vrLbIquOA/lEV2ESF/EBacMo9JJuET+D3mEaLKa8uZQl88F5AIowbgiI3GdVgGhUWDyU52BrizdS4za1XUOH5p9FzFDo65WSKAB+DuCuuAaqOwvLlDUIiaW0hUj/OF7Ct+kCSp8Ldtc6iime4popk6+2jmBvLWVbw5kMDpRUbTsz0x/juaA1FFEzCiCRjRTL+JiGbXmo8mALwBToxc3Taver4AAAAASUVORK5CYII=" /></td><td align="center" valign="middle"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAApBAMAAABDxfNjAAAAJ1BMVEX////V1dXKysq/v7+1tbWpqalubm5hYWFUVFRGRkY4ODgoKCgAAADvdt39AAAAAXRSTlMAQObYZgAAAPNJREFUOMvVlbEKwkAMhlMLIiWDD9Chm4u7CA4+h6NPIC4+Qhf3rj7KeXQQzEPZ6ynFSy+Xgos/lNLwNeRyuf8ABpV0dK+NgbQym1+q7penBsY9bE8AttDAixOg41CV2UyAfXI9vK70cG5BDaPvs7aMXaIMJK/+Y36OwisWzZsYPAv2ld7PGIx0+I7WAsyirVRGGC2XfoHFTQFntm8dPa6Uhrvhv4tjppcM00dmgJFGFIN/U0ayG4IVsD5LVhDAgRXICwysQIZlK+BRwQr4eEWtAN14mX+zghH/arQwiac7UD0FbqeUIVsBu60kK2CpJStwegGtNJcFxOh8rAAAAABJRU5ErkJggg==" /></td></tr>
<tr><td align="center" valign="middle"><img src="data:image/png;base64,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" /></td><td align="center" valign="middle"><img src="data:image/png;base64,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" /></td></tr>
<tr><td align="center" valign="middle"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7Bsqrt%7B%5Cfrac%7B7%7D%7B32%7D%7D%7D%7Bsqrt%7B%5Cfrac%7B7%7D%7B32%7D%7D%7D%3D1" /></td><td align="center" valign="middle"><img src="data:image/png;base64,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" /></td></tr>
</tbody></table>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Agora sim vamos ver Racionalização de Frações.</div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<br /></div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<strong><em>Racionalização de Frações (1<sup>o</sup> caso)</em></strong></div>
<div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
O primeiro caso é quando temos apenas uma raiz sozinha no denominador.<br />
Vamos ver como se racionaliza uma fração aplicando em um exemplo. Temos a fração <img align="absmiddle" src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=\frac{32}{sqrt+5}" /> e queremos saber uma representação para este mesmo valor, mas sem nenhuma raiz em baixo.</div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
A técnica diz que devemos multiplicar esta fração por outra fração que tenha valor 1 para não alterar seu valor.</div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Esta fração deve ter seu denominador igual ao seu numerador e ambos igual ao denominador da fração a ser modificada, no caso <img src="data:image/gif;base64,R0lGODdhGAAOAPMAAP///9XV1crKyr+/v7W1tW5ubmFhYVRUVEZGRjg4OAAAAAAAAAAAAAAAAAAAAAAAACH5BAEAAAAALAAAAAAYAA4AAARdEMhJgSgq61z7LMbgjZWgiMBpKWQ1KIJ0JIcStFRRTLMRj6aJCZXCBRQHVHDCaikIhl3qJzFobqMX4EUtbmGjI0BHOhiALNWIMyrQKs0t4pydw0UDg8/ZBRwzBV0RADsAAAAAAAAAAAA=" />.</div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<img alt="racionalização" src="data:image/png;base64,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" /></div>
<div align="left" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Agora, efetuando esta multiplicação de frações (numerador de uma multiplica o numerador de outra, denominador de uma multiplica o denominador de outra):</div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B32%5Ccdot%5Csqrt%7B5%7D%7D%7Bsqrt+5%5Ccdot%5Csqrt%7B5%7D%7D%3D%5Cfrac%7B32%5Csqrt+5%7D%7B5%7D" /></div>
<div style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
Pronto, achamos a fração procurada:</div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<img src="data:image/png;base64,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" /></div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
<br /></div>
<div align="center" style="background-color: white; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">
</div>
<div style="text-align: start;">
Mais exemplos:</div>
<center>
<table border="2" cellpadding="2"><tbody>
<tr><td bgcolor="#000000"><strong><span style="color: white;">fração</span></strong></td><td bgcolor="#000000"><strong><span style="color: white;">racionalização</span></strong></td></tr>
<tr><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B1%7D%7Bsqrt+5%7D" /></td><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B1%7D%7Bsqrt%7B5%7D%7D%5Ctimes%5Cfrac%7Bsqrt+5%7D%7Bsqrt+5%7D%3D%5Cfrac%7Bsqrt+5%7D%7B5%7D" /></td></tr>
<tr><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B3%7D%7Bsqrt+3%7D" /></td><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B3%7D%7Bsqrt+3%7D%5Ctimes%5Cfrac%7Bsqrt+3%7D%7Bsqrt+3%7D%3D%5Cfrac%7B3%5Csqrt%7B3%7D%7D%7B3%7D%3Dsqrt+3" /></td></tr>
<tr><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B4%7D%7Bsqrt%7B12%7D%7D" /></td><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B4%7D%7Bsqrt%7B12%7D%7D%5Ctimes%5Cfrac%7Bsqrt%7B12%7D%7D%7Bsqrt%7B12%7D%7D%3D%5Cfrac%7B4%5Csqrt%7B12%7D%7D%7B12%7D%3D%5Cfrac%7Bsqrt%7B12%7D%7D%7B3%7D%3D%5Cfrac%7Bsqrt%7B4%5Ccdot+3%7D%7D%7B3%7D%3D%5Cfrac%7B2%5Csqrt+3%7D%7B3%7D" />Tivemos que fatorar o 12</td></tr>
</tbody></table>
</center>
<hr style="text-align: start;" />
<table bgcolor="#dfdfdf" border="0" cellpadding="7" cellspacing="0" style="color: black; font-size: 15px;"><tbody>
<tr><td><strong><em>Racionalização de Frações (2<sup>o</sup> caso)</em></strong></td></tr>
</tbody></table>
<div style="text-align: start;">
O segundo acontece quando, além da raiz temos outro número somado à ela no denominador. Exemplo:</div>
<center>
<table border="0" style="width: 50%px;"><tbody>
<tr><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B23%7D%7B4%2Bsqrt+5%7D" /></td><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7Bsqrt+2%7D%7B3-sqrt+7%7D" /></td><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7Bsqrt+5%7D%7Bsqrt+6-sqrt%7B21%7D%7D" /></td></tr>
</tbody></table>
</center>
<div style="text-align: start;">
Para racionalizar este tipo de fração devemos, novamente, multiplicar por uma fração de valor 1. Formada pelo denominador da primeira apenas com o sinal do meio trocado.</div>
<div style="text-align: start;">
Veja os exemplos:</div>
<center>
<table border="1" cellpadding="3" style="width: 85%px;"><tbody>
<tr><td width="131"><div align="center">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B23%7D%7B4%2Bsqrt%7B5%7D%7D" /></div>
</td><td width="100%"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B23%7D%7B4%2Bsqrt%7B5%7D%7D%5Ctimes" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cblue%5Cfrac%7B4-sqrt+5%7D%7B4-sqrt+5%7D" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%3D%5Cfrac%7B23%5Ccdot%284-sqrt+5%29%7D%7B%284%2Bsqrt+5%29%5Ccdot%284-sqrt+5%29%7D%3D%5Cfrac%7B92-23%5Csqrt+5%7D%7B16%2B4%5Csqrt+5-4%5Csqrt+5-5%7D%3D%5Cfrac%7B92-23%5Csqrt+5%7D%7B11%7D" /></td></tr>
<tr><td width="131"><div align="center">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B5%7D%7Bsqrt+6%2Bsqrt%7B21%7D%7D" /></div>
</td><td width="100%"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B5%7D%7B%5Csqrt%7B6%7D%2B%5Csqrt%7B21%7D%7D%5Ctime" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cblue%5Cfrac%7Bsqrt+6-sqrt+21%7D%7Bsqrt+6-sqrt+21%7D" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%3D%5Cfrac%7B5%5Ccdot%28sqrt+6-sqrt%7B21%7D%29%7D%7B6-21%7D%3D%5Cfrac%7B5%5Ccdot%28sqrt+6-sqrt%7B21%7D%29%7D%7B-15%7D%3D-%5Cfrac%7Bsqrt+6-sqrt%7B21%7D%7D%7B3%7D" /></td></tr>
</tbody></table>
<div align="left">
Note que a fração grifada em azul nos cálculos acima que é a fração que você deve multiplicar.</div>
<div align="left">
Ela é igual à parte de baixo da fração que estamos racionalizando, mas com sinal do termo que tem raiz, trocado.</div>
</center>
<hr style="text-align: start;" />
<table bgcolor="#dfdfdf" border="0" cellpadding="7" cellspacing="0" style="color: black; font-size: 15px;"><tbody>
<tr><td><strong><em>Racionalização de Frações (3<sup>o</sup> caso)</em></strong></td></tr>
</tbody></table>
<div style="text-align: start;">
O terceiro caso ocorre quando temos uma raiz dentro de outra raiz no denominador. Veja os exemplos:</div>
<center>
<table border="1" cellpadding="3" cellspacing="0" style="width: 85%px;"><tbody>
<tr><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B21%7D%7B%5Csqrt%7B3%2Bsqrt+7%7D%7D" /></td><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B3%7D%7Bsqrt%7B4%2B%5Csqrt%7B15%7D%7D%7D" /></td><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7Bsqrt+3%7D%7Bsqrt%7B9-%5Csqrt%7B29%7D%7D%7D" /></td><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B8%7D%7Bsqrt%7B5-%5Csqrt%7B87%7D%7D%7D" /></td></tr>
</tbody></table>
</center>
<div style="text-align: start;">
Para resolver estes casos, vamos ter que calcular dois passos. Primeiro devemos multiplicar pela fração formada pela raiz do denominador com o sinal do meio trocado. Veja os exemplos abaixo:</div>
<center>
<table border="2" cellspacing="0" style="width: 85%px;"><tbody>
<tr><td><div align="center">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B21%7D%7B%5Csqrt%7B3%2B%5Csqrt+7%7D%7D" /></div>
</td><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B21%7D%7B%5Csqrt%7B3%2B%5Csqrt+7%7D%7D%5Ctimes" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cblue%5Cfrac%7B%5Csqrt%7B3-%5Csqrt+7%7D%7D%7B%5Csqrt%7B3-%5Csqrt+7%7D%7D" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%3D%5Cfrac%7B21%5Ccdot%5Csqrt%7B3-%5Csqrt+7%7D%7D%7B%5Csqrt%7B%283%2B%5Csqrt+7%29%5Ccdot%283-%5Csqrt+7%29%7D%7D%3D%5Cfrac%7B21%5Ccdot%5Csqrt%7B3-%5Csqrt+7%7D%7D%7B%5Csqrt%7B9-7%7D%7D%3D%5Cfrac%7B21%5Ccdot%5Csqrt%7B3-%5Csqrt+7%7D%7D%7Bsqrt+2%7D" /></td></tr>
<tr><td align="center" colspan="2">Ué, mas ainda tem uma raiz no denominador.<br />
- Isso mesmo, agora a gente aplica o 1° caso nesse resultado.</td></tr>
<tr><td colspan="2"><div align="center">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B21%5Ccdot%5Csqrt%7B3-%5Csqrt+7%7D%7D%7Bsqrt+2%7D%5Ctimes" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cblue%5Cfrac%7Bsqrt+2%7D%7Bsqrt+2%7D" /><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%3D%5Cfrac%7B21%5Csqrt+2%5Ccdot%5Csqrt%7B3-%5Csqrt+7%7D%7D%7B2%7D%3D%5Cfrac%7B21%5Ccdot%5Csqrt%7B2%5Ccdot%283-%5Csqrt+7%29%7D%7D%7B2%7D%3D%5Cfrac%7B21%5Csqrt%7B6-2%5Csqrt+7%7D%7D%7B2%7D" /></div>
</td></tr>
</tbody></table>
</center>
<div style="text-align: start;">
Note que até agora só trabalhamos com raízes quadradas.</div>
<div style="text-align: start;">
Veja no próximo tópico como fazer se for uma raiz diferente de quadrada.</div>
<hr style="text-align: start;" />
<table bgcolor="#dfdfdf" border="0" cellpadding="7" cellspacing="0" style="color: black; font-size: 15px;"><tbody>
<tr><td><strong><em>Racionalização de Frações (4<sup>o</sup> caso)</em></strong></td></tr>
</tbody></table>
<div style="text-align: start;">
Este último caso é o menos comum de todos, mas não quer dizer que não caia no vestibular também.</div>
<div style="text-align: start;">
Ele ocorre quando temos uma raiz diferente de raiz quadrada no denominador. Veja uns exemplos:</div>
<table align="center" border="0" cellpadding="8" cellspacing="0" style="color: black; font-size: 15px;"><tbody>
<tr><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B2%7D%7B%5Csqrt%5B3%5D%7B65%7D%7D" /></td><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7Bsqrt+2%7D%7B%5Csqrt%5B5%5D%7B12%5E3%7D%7D" /></td></tr>
<tr><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B7%7D%7B%5Csqrt%5B8%5D%7B625%7D%7D" /></td><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B121%7D%7B%5Csqrt%5B11%5D%7B121%7D%7D" /></td></tr>
</tbody></table>
<div align="left">
Para resolver este tipo de questão, novamente devemos multiplicar esta fração por uma que valha 1 e nos seja conveniente (que retire a raiz do denominador).</div>
<div align="left">
Esta fração conveniente será achada através da seguinte propriedade:</div>
<div align="center">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Csqrt%5Bx%5D%7Ba%5Eb%7D%5Ctimes%5Csqrt%5By%5D%7Ba%5Ec%7D%3Da%5E%7B%5Cfrac%7Bb%7D%7Bx%7D%2B%5Cfrac%7Bc%7D%7By%7D%7D" /></div>
<div style="text-align: start;">
Sendo que o expoente do resultado <img align="absmiddle" src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=\frac{b}{x}%2B\frac{c}{y}" />, deve ser 1.Vamos ver um exemplo:</div>
<center>
<table border="1" cellpadding="3" cellspacing="0" style="width: 85%px;"><tbody>
<tr><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B2%7D%7B%5Csqrt%5B3%5D%7B65%7D%7D" /></td><td valign="top">Este será o exemplo que iremos desenvolver. Primeiro iremos transformar a raiz do denominador em potência</td></tr>
<tr><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B2%7D%7B65%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D" /></td><td valign="top">Pronto, agora em cima deste <img align="absmiddle" src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=\frac{1}{3}" /> devemos achar um expoente que somado a ele resulte 1.<br />
<div align="center">
<img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B1%7D%7B3%7D%2Bx%3D1%5Chspace%7B40%7Dx%3D1-%5Cfrac%7B1%7D%7B3%7D%5Chspace%7B40%7Dx%3D%5Cfrac%7B2%7D%7B3%7D" /></div>
<div align="left">
O expoente que procuramos é <img align="absmiddle" src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=\frac{2}{3}" />, agora vamos multiplicar.</div>
</td></tr>
<tr><td align="center"><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5CLarge%5Cfrac%7B2%7D%7B65%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D%5Ctimes%5Cfrac%7B65%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%7B65%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D" /></td><td valign="top"><table border="0" cellpadding="0" cellspacing="0" style="width: 100%px;"><tbody>
<tr><td><img src="http://www.tutorbrasil.com.br/cgi-bin/mimetex.cgi?formdata=%5Cfrac%7B2%5Ccdot+65%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%7B65%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Ctimes+65%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D%7D%3D%5Cfrac%7B2%5Csqrt%5B3%5D%7B65%5E2%7D%7D%7B65%5E%7B%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%7D%7D%3D%5Cfrac%7B2%5Csqrt%5B3%5D%7B65%5E2%7D%7D%7B65%5E%7B1%7D%7D%3D%5Cfrac%7B2%5Csqrt%5B3%5D%7B4225%7D%7D%7B65%7D" /></td><td valign="top">Esta é a resposta final. Pois o 4225, ao ser fatorado, não ajuda em nada.</td></tr>
</tbody></table>
</td></tr>
</tbody></table>
</center>
<div style="text-align: start;">
Agora faça os exercícios sobre potênciação e radiciação para testar se você obteve êxito neste estudo inicial.</div>
<table border="0" cellpadding="2" cellspacing="0" style="color: black; font-size: 15px; width: 100%px;"><tbody>
<tr><td align="left" colspan="2" width="100%"><img border="0" height="8" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAAAAAA6fptVAAAAAnRSTlMA/1uRIrUAAAAKSURBVAjXY/gPAAEBAQAbtu5WAAAAAElFTkSuQmCC" width="1" /></td></tr>
</tbody></table>
</div>
</div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-44625715702899269752013-01-07T11:57:00.002-02:002013-01-07T11:57:45.736-02:00Nonômia<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNRaEfuMDQKihZbM7ACKi6d54t2x_YRgZm54ScfTnN0dSXBeGUZJ5akdtJowPBmXmN0owEBIddTzq7Ij3WNDvQkLzBfbHJAjkvZOWFqpRZ0LVux6gJGCOrAFetV171dS0ILSErEYbwETM/s1600/nada+de+importante.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgNRaEfuMDQKihZbM7ACKi6d54t2x_YRgZm54ScfTnN0dSXBeGUZJ5akdtJowPBmXmN0owEBIddTzq7Ij3WNDvQkLzBfbHJAjkvZOWFqpRZ0LVux6gJGCOrAFetV171dS0ILSErEYbwETM/s1600/nada+de+importante.png" height="329" width="640" /></a></div>
<br />Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-82997311957209582302012-05-06T22:38:00.000-03:002012-05-06T22:38:54.723-03:00Expressão algebrica<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKYFe-IyVkNh6_U2hxTO0k_51A-u6R8vD40jEfM5tJdIIsAYTokAlvyd7hwz2kJs0uhOD8cJkObtVj6lHsxenE-ruopMMHen9jZQzeitVB-Wtfsw8retCB8LBkxJ5Xk55GxYnFKtvzjk4/s1600/528.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="473" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhKYFe-IyVkNh6_U2hxTO0k_51A-u6R8vD40jEfM5tJdIIsAYTokAlvyd7hwz2kJs0uhOD8cJkObtVj6lHsxenE-ruopMMHen9jZQzeitVB-Wtfsw8retCB8LBkxJ5Xk55GxYnFKtvzjk4/s640/528.bmp" width="640" /></a></div>
</div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-41004567583980825482012-03-19T19:08:00.001-03:002012-03-25T22:33:11.087-03:00Fração geratriz<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: left;">
<span style="font-size: x-large;">È uma fração que dá origem a uma dizima </span><span style="font-size: x-large;">periódica</span><span style="font-size: x-large;"> </span></div>
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s1600/6666.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" height="475" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s640/6666.bmp" width="640" /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s1600/6666.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s1600/6666.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s1600/6666.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s1600/6666.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj-9-yGdcNLB7e6gKwn4xP3NUuwcFwFyRXwzCXbOIgrDVMkdlYjQ7HEFs0xSvbL33mCTtM1yRqTdmbDD0O_sCiRe0Oq8EOzRdN1pGRTs9Yd45buN4Ww-FW0RlPR2rcQ14s471deZUp8Umw/s1600/6666.bmp" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><br /></a></div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-80770131315665302402012-02-27T13:50:00.003-03:002012-02-28T13:36:52.940-03:00Produtor cartesiano do ensino fundamental<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRj1olMcA2f27DIiN5l7IbdOQLYF6g1tMgxOg_qFewoxmpPEZTQmIpqjamkrLTsJl7xnNNAKwHZfr9kD94u1YozIxBbtfFki6VJNRuSgdE8vBLh4AU34ZTB-f3jNpqpQjA9VRTNbJtPGQ/s1600/imagem555.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><br /></a></b></div>
<b>O </b><b>produto cartesiano (ou <i>produto direto</i>) dos dois conjuntos (escrito como <i>X</i> × <i>Y</i>) é o conjunto de todos os pares ordenados cujo primeiro elemento pertence a <i>X</i> e o segundo, a <i>Y</i>.</b><br />
<b>ele
usado muito para jogos de estrategias tipo relação logica mas neste aqui
vamos usa somente os números , para me fala bem é calculo bem simples
na imagem, para quem não sabe vão ver como é feito: </b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRj1olMcA2f27DIiN5l7IbdOQLYF6g1tMgxOg_qFewoxmpPEZTQmIpqjamkrLTsJl7xnNNAKwHZfr9kD94u1YozIxBbtfFki6VJNRuSgdE8vBLh4AU34ZTB-f3jNpqpQjA9VRTNbJtPGQ/s1600/imagem555.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="592" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiRj1olMcA2f27DIiN5l7IbdOQLYF6g1tMgxOg_qFewoxmpPEZTQmIpqjamkrLTsJl7xnNNAKwHZfr9kD94u1YozIxBbtfFki6VJNRuSgdE8vBLh4AU34ZTB-f3jNpqpQjA9VRTNbJtPGQ/s640/imagem555.bmp" width="640" /></a></div>
<b> Os pontinhos que indica as letras até números positivos e negativos sempre está lá da reata numérica mas o produtor mesmo mostra que os números indica funções do valor esta sendo revelado através dessa maneira. </b></div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-47402975924157066572011-11-02T11:56:00.001-02:002012-01-16T10:58:57.533-02:00Sistema de Equações<div dir="ltr" style="text-align: left;" trbidi="on">
<span style="font-size: x-large;"><b>Sistema Equações</b></span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicxNcqR19IlTucM_dL8brNCxgdbWVzyBzCW6_BUJ4Rh2jMlk0LWQei3mSMQFrxfsECAMnw5RwU8iDNw5ZGetxrMrB0knm0UsAZr3p_b-HTLamYwNymddMGnxX0fA_8CIUUq09N7FUuGrk/s1600/56%252C22.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="416" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEicxNcqR19IlTucM_dL8brNCxgdbWVzyBzCW6_BUJ4Rh2jMlk0LWQei3mSMQFrxfsECAMnw5RwU8iDNw5ZGetxrMrB0knm0UsAZr3p_b-HTLamYwNymddMGnxX0fA_8CIUUq09N7FUuGrk/s640/56%252C22.bmp" width="640" /></a></div>
<br /></div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-57834056143893935222011-09-25T12:31:00.000-03:002012-02-26T07:39:02.574-03:00Algebra: Regra de três<div dir="ltr" style="text-align: left;" trbidi="on">
<b><span style="font-size: x-large;">Regra de três é calculo meio dificil se resolver presta bem atenção:</span></b><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwogIGhBdWxeu-eFONHAf6CtPHOmxYVs6eYkFHIe5jghwK778MOR143MaFigJUXQqhIcap3bfrXSLZmcIOKks5c0mEyE2ggX7kG6qF4NZ6HQs98ritFkWW9byb48rLwCrST6XO_wukGG0/s1600/66652.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="416" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhwogIGhBdWxeu-eFONHAf6CtPHOmxYVs6eYkFHIe5jghwK778MOR143MaFigJUXQqhIcap3bfrXSLZmcIOKks5c0mEyE2ggX7kG6qF4NZ6HQs98ritFkWW9byb48rLwCrST6XO_wukGG0/s640/66652.bmp" width="640" /></a></div>
<b>Como podem ver ele usando em fração sobre 100 ou qualquer numero ,mais outra quando problema é para diminui você deverá inverter fração para antes de fazer regra de três.</b><br />
<b>Por que chama de regra de três? Neste calculo você usa somente 3 cálculos diferente por isso tem este nome. </b></div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-6251186476213519762011-09-06T14:57:00.000-03:002012-04-27T14:31:30.160-03:00álgebra: Equação de primeiro grau<div dir="ltr" style="text-align: left;" trbidi="on">
<span class="Apple-style-span" style="background-color: white; font-family: sans-serif; line-height: 19px;"><b>álgebra</b> é o ramo que estuda as generalizações dos conceitos e operações de aritmética. Hoje em dia o termo é bastante abrangente e pode se referir a várias áreas da matemática.</span><br />
<div>
<span class="Apple-style-span" style="background-color: white;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;">resumo são tipo cálculos com letras:</span></span></span></div>
<div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSgUQNds5obxHPoRRcBqkzAekIu5ZcbabjLvbjNTAgtnaeW2SWS_YHohWz3xd0mcg7o1oYmPnl-JEOiGnTVRpH4V3wuRu5VMGBzJFpP1lrB6n_HAGpSx_3oyyIDp5f84iEh-RtbL9nl3c/s1600/6666.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="417" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgSgUQNds5obxHPoRRcBqkzAekIu5ZcbabjLvbjNTAgtnaeW2SWS_YHohWz3xd0mcg7o1oYmPnl-JEOiGnTVRpH4V3wuRu5VMGBzJFpP1lrB6n_HAGpSx_3oyyIDp5f84iEh-RtbL9nl3c/s640/6666.bmp" width="640" /></a></div>
<span class="Apple-style-span" style="background-color: white;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br /></span></span></span></div>
<div>
<span class="Apple-style-span" style="background-color: white;"><span class="Apple-style-span" style="font-family: sans-serif;"><span class="Apple-style-span" style="line-height: 19px;"><br /></span></span></span></div>
</div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-25528668361406153032011-06-24T08:59:00.002-03:002012-02-23T21:31:35.643-02:00Expressão numéricas com sinais de - ou +<div dir="ltr" style="text-align: left;" trbidi="on">
<b>As Expressões numéricas que levar sinais + ou - são bastante diferente.</b><br />
<b>Ex:</b><br />
<b>(+8)+(-3)+(+7)=</b><br />
<b>+8-3+7 =</b><br />
<b>+5+7 = 12 </b><br />
<br />
<b>(-7)+(-3)+(-7) = </b><br />
<b>- 7 +3 + 7=</b><br />
<b> -4+7 =</b><br />
<b>= 3 </b><br />
<br />
<b>OBS: Quando tem numero com mesmo sinal é soma</b><br />
<b>e Quando for diferente deverá fazer uma conta de subtrair.</b><br />
<b> </b></div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-56078585132007733212011-06-16T15:43:00.002-03:002020-04-12T00:08:32.955-03:00Conjunto Z<div dir="ltr" style="text-align: left;" trbidi="on">
<b>Conjunto Z -> São números inteiros, diferente dos naturais tem representação do zero, bom exemplo disso Reata numérica. </b><br />
<b><br /></b>
<b> </b><br />
<b>Veja imagem da reata numérica:</b><br />
<div class="separator" style="clear: both; text-align: center;">
</div>
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVPrPKkVW4eE_TjTLJ1RG51VDiB6cTVtOi2j06FuDrc0msotvWCH9vM9duB2NKx_UH_GzYOA3nZfzTT01TeB1AwGy4KCTr74pFJxHRjhhV282ZZmN_I17F_6Fne3nHo2ksabclUZ8ZpZQ/s1600/56p.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="205" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjVPrPKkVW4eE_TjTLJ1RG51VDiB6cTVtOi2j06FuDrc0msotvWCH9vM9duB2NKx_UH_GzYOA3nZfzTT01TeB1AwGy4KCTr74pFJxHRjhhV282ZZmN_I17F_6Fne3nHo2ksabclUZ8ZpZQ/s320/56p.jpg" width="320" /></a></div>
<br />
<br />
<b> Como podem ver os números negativos começam a parti do 0 , até que o próprio numero 0 é a central entre os números negativos e positivos que separa entres eles como você pode ver. </b><br />
<br />
<b>Claramente neste não é único jeito de utilização dos números inteiros.</b><br />
<br /></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-46694653868933833952011-06-16T15:09:00.002-03:002012-03-19T19:09:43.239-03:00Numeiros decimais<div dir="ltr" style="text-align: left;" trbidi="on">
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh18lWlQpPM9hkmH-BY-PrPvyEJ3sch5oKPtl3sJKyiMGWwH2kmmc511yjZCV6aXDeJAznHV59Je_jaMJnBBpKFPY6NouLDhsFObON2ku2DSujC0FhHHXuYWDWZJ5ihQEkkoMmNVJ9cRkA/s1600/45lv.bmp" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" height="205" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh18lWlQpPM9hkmH-BY-PrPvyEJ3sch5oKPtl3sJKyiMGWwH2kmmc511yjZCV6aXDeJAznHV59Je_jaMJnBBpKFPY6NouLDhsFObON2ku2DSujC0FhHHXuYWDWZJ5ihQEkkoMmNVJ9cRkA/s320/45lv.bmp" width="320" /></a></div>
<b> Numeros decimais são incompletos ( não possuem parte inteira)</b><br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<b>Parte decimal é dividida em </b><br />
<b>Primeira Base Décimos</b><br />
<b>Segunda Base Centésimos </b><br />
<b>Terceira base Milésimos </b><br />
<b><br />
</b><br />
<b>Como nos podemos fazer para ler um simples numeiro decimal:</b><br />
<b> <br />
35,5 = Trinta e cincos inteiros e cino decimos </b><br />
<br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4_pP-eW9G7mOkvUu70LM2iqIRTG1RsUsm1dJWx0zdFhuNO5Bxk-y5391AacQECJTdn1RfeQH-Igf-Egj6e_QH-fLGcuLNUKPd8f9DVPNvzlWaglKr-pUDSEcCzgOMEbWkTYIt8boY5fc/s1600/kkkkkkkkk.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj4_pP-eW9G7mOkvUu70LM2iqIRTG1RsUsm1dJWx0zdFhuNO5Bxk-y5391AacQECJTdn1RfeQH-Igf-Egj6e_QH-fLGcuLNUKPd8f9DVPNvzlWaglKr-pUDSEcCzgOMEbWkTYIt8boY5fc/s1600/kkkkkkkkk.bmp" /></a></div>
<br />
<b><br />
</b></div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-45817331791030813132011-02-16T18:44:00.002-02:002020-09-17T01:38:36.616-03:00Porcentagem<div dir="ltr" style="text-align: left;" trbidi="on">
<i style="font-weight: bold;">Porcentagem</i><b> numero dividido ou multiplicado por 100 em umas frações que envalente.</b><br />
<b>P</b><b>orcentagem é assim 18% de 300 como fazer isso você faz uma fracção 18 e centésimos ai faz assim..</b><br />
<b>300 × 18 = 5400 depois você dividir por 100 , 5400 ÷ 100 = 54 .</b><br />
<b><br />
</b><br />
<b>Bom é assim se que faz uma porcentagem...</b></div>
Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-68191276482754690002011-02-16T18:31:00.001-02:002011-06-21T22:43:53.118-03:00MMC<b>MMC é calculo que serve para divinas situações em causo problema matemático em causo de multiplico</b> , <b>ele é usando como fosse conta multiplica vejas as imagens:</b><br />
<b> </b><br />
<div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD8HUFt8KeBz8nyI21WBAtEZBzioeQ3UyYmN0srN0ZTsfoyPji2qSiqcrGCmwNmLb9DL0ov0eSLu1diciKSnLtf_hUAsa8geFO2JEAfySwyYl3yNYaheXBMfKlExzppm5kL0_ESXjTpOY/s1600/march.bmp" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="307" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiD8HUFt8KeBz8nyI21WBAtEZBzioeQ3UyYmN0srN0ZTsfoyPji2qSiqcrGCmwNmLb9DL0ov0eSLu1diciKSnLtf_hUAsa8geFO2JEAfySwyYl3yNYaheXBMfKlExzppm5kL0_ESXjTpOY/s400/march.bmp" width="400" /></a></div><b> </b><br />
<b>Como vocês podem ver usei 2,3, 5 Por que? </b><br />
<b>Porque eles são numeiros primos que na verdade só pode ser usando nessa conta.</b><b></b>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com2tag:blogger.com,1999:blog-3245437431741294002.post-34429905093316799422010-11-13T00:33:00.000-02:002010-11-13T00:33:15.275-02:00Descubrindo os valores<b>Y × 2 =10</b><br />
<b>Y = 10 ÷ 2</b><br />
<b>Y = 5 </b><br />
<br />
<b>A + 8 = 16</b><br />
<b>A = 16 - 8</b><br />
<b>A = 8</b><br />
<br />
<b>D × 2 = 24</b><br />
<b>D = 24 ÷ 2</b><br />
<b>D = 12</b><br />
<br />
<b>D . 25 = 85</b><br />
<b>D = 85 : 25</b><br />
<b> D = 3,4</b><br />
<b><br />
</b><br />
<b>150 + X = 200</b><br />
<b>X = 200 - 150</b><br />
<b>X = 50</b><br />
<b><br />
</b><br />
<b>L ÷ 2 + S × 6 =16 </b><br />
<b> </b><br />
<b> S = 60 ÷ 10 </b><br />
<b>S = 6</b><br />
<b>L= 5 × 2 </b><br />
<b>L= 10</b><br />
<b>10 + 6 = 16 </b>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0tag:blogger.com,1999:blog-3245437431741294002.post-23525010780199570132010-03-10T21:55:00.001-03:002012-03-19T19:10:08.275-03:00fração que envalente<div dir="ltr" style="text-align: left;" trbidi="on">
<b>Fração que valente é fracção você usa multiplicação, adição, subtracção, divisão nas fracções que valentes. </b><br />
<b>fracções valente tem de + , - , X ,÷</b><br />
<br />
<div class="separator" style="border: currentColor; clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiic4O0SRB4OoXTjhDghhKa_CbA88GZ9xlfIOwx1dq03Fax0FiZz2uslMbW0sLPe3l8s3rLalSjYZGPQeGumXSVx52MCe4tKvIWRrEQfotImZr7a3N-e5SpxbrxrP4HvRwGZNVex7zgjzE/s1600-h/fra%C3%A7%C3%A3o.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="365" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiic4O0SRB4OoXTjhDghhKa_CbA88GZ9xlfIOwx1dq03Fax0FiZz2uslMbW0sLPe3l8s3rLalSjYZGPQeGumXSVx52MCe4tKvIWRrEQfotImZr7a3N-e5SpxbrxrP4HvRwGZNVex7zgjzE/s400/fra%C3%A7%C3%A3o.jpg" vt="true" width="400" /></a></div>
</div>Sr Boentehttp://www.blogger.com/profile/08556169176374251612noreply@blogger.com0