<?xml version="1.0"?><!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0//EN" "http://www.w3.org/Math/DTD/mathml2/xhtml-math11-f.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML">
<head>
<OBJECT ID="mathplayer" CLASSID="clsid:32F66A20-7614-11D4-BD11-00104BD3F987"> <!--comment required to prevent this becoming an empty tag--></OBJECT>
<?IMPORT NAMESPACE="m" IMPLEMENTATION="#mathplayer" ?>
<!--
 <script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=MML_HTMLorMML" />
-->
<script src="https://polyfill.io/v3/polyfill.min.js?features=es6"></script>
<script id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>


<meta name="GENERATOR" content="TtM 3.72" />
 <style type="text/css">
 div.p { margin-top: 7pt; }
 span.roman {font-family: serif; font-style: normal; font-weight: normal;} 
</style>
<title>A.I.7.6</title>
<link rel="stylesheet" href="/mathdisplay.css" type="text/css" />
</head>
<body>
<div class="feladat">
<b>Feladat: 7.6.</b><br /> <a name="algI_GHP_145_teszt_06" /><a href="bib_box.php?mode=sne-s-j-&amp;citation_num=" target="bib_box" onclick="mutat('bib_box.php?mode=sne-s-j-&amp;citation_num='); return false;"></a>Melyik szöveges állításnak melyik algebrai összefüggés felel meg? 

<div class="p"><!----></div>

<b>I.)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi></m:mrow></m:math> az <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi></m:mrow></m:math> számnál hárommal kisebb szám négyzetének fele;

<div class="p"><!----></div>

<b>II.)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi></m:mrow></m:math> az <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi></m:mrow></m:math> szám négyzeténél hárommal kisebb szám fele;

<div class="p"><!----></div>

<b>III.)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi></m:mrow></m:math> az <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi></m:mrow></m:math> szám felének négyzeténél hárommal kisebb szám;

<div class="p"><!----></div>

<b>IV.)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi></m:mrow></m:math> az a szám, amelynek fele <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi></m:mrow></m:math> négyzeténél hárommal kisebb;

<div class="p"><!----></div>

<b>V.)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi></m:mrow></m:math> az a szám, amelynél hárommal kisebb szám az <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>a</m:mi></m:mrow></m:math> négyzetének fele;

<div class="p"><!----></div>

<br /><b>a)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow><m:mo stretchy="false">(</m:mo><m:mi>a</m:mi><m:mo>+</m:mo><m:mn>3</m:mn>

<m:msup><m:mrow><m:mo stretchy="false">)</m:mo></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

</m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

</m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>b)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow>

<m:msup><m:mrow><m:mi>a</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

</m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

<m:mo>-</m:mo><m:mn>3</m:mn></m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>c)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:mfrac><m:mrow><m:mi>b</m:mi></m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

<m:mo>=</m:mo><m:mo stretchy="false">(</m:mo><m:mi>a</m:mi><m:mo>-</m:mo><m:mn>3</m:mn>

<m:msup><m:mrow><m:mo stretchy="false">)</m:mo></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

</m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>d)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow><m:mo stretchy="false">(</m:mo><m:mi>a</m:mi><m:mo>-</m:mo><m:mn>3</m:mn>

<m:msup><m:mrow><m:mo stretchy="false">)</m:mo></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

</m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

</m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>e)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:mfrac><m:mrow><m:mi>b</m:mi></m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

<m:mo>=</m:mo>

<m:msup><m:mrow><m:mi>a</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>3</m:mn></m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>f)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow>

<m:msup><m:mrow><m:mi>a</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>3</m:mn></m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

</m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>g)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow>

<m:msup><m:mrow><m:mi>b</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>=</m:mo>

<m:mfrac><m:mrow><m:mi>a</m:mi><m:mo>-</m:mo><m:mn>3</m:mn></m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

</m:mrow></m:math>;<br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>h)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi><m:mo>=</m:mo>

<m:mfrac><m:mrow>

<m:msup><m:mrow><m:mi>a</m:mi></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

</m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

<m:mo>+</m:mo><m:mn>3</m:mn></m:mrow></m:math><br /><m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>&ensp;</m:mi></m:mrow></m:math><br />

<b>i)</b> <m:math xmlns="http://www.w3.org/1998/Math/MathML">

<m:mrow><m:mi>b</m:mi><m:mo>=</m:mo>

<m:msup><m:mrow><m:mo>(</m:mo>

<m:mfrac><m:mrow><m:mi>a</m:mi></m:mrow>

<m:mrow><m:mn>2</m:mn></m:mrow>

</m:mfrac>

<m:mo>)</m:mo></m:mrow><m:mrow><m:mn>2</m:mn></m:mrow>

</m:msup>

<m:mo>-</m:mo><m:mn>3</m:mn></m:mrow></m:math>.<br />

<br /><b>A)</b>&nbsp;&nbsp;&nbsp; I. - d;&nbsp;&nbsp;&nbsp;  II. - e;&nbsp;&nbsp;&nbsp;  III. - i;&nbsp;&nbsp;&nbsp;  IV. - f;&nbsp;&nbsp;&nbsp;  V. - b.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>B)</b>&nbsp;&nbsp;&nbsp; I. - d;&nbsp;&nbsp;&nbsp;  II. - f;&nbsp;&nbsp;&nbsp;  III. - i;&nbsp;&nbsp;&nbsp;  IV. - e;&nbsp;&nbsp;&nbsp;  V. - h.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <b>C)</b>&nbsp;&nbsp;&nbsp; I. - i;&nbsp;&nbsp;&nbsp;  II. - f;&nbsp;&nbsp;&nbsp;  III. - d;&nbsp;&nbsp;&nbsp;  IV. - e;&nbsp;&nbsp;&nbsp;  V. - h.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <b>D)</b>&nbsp;&nbsp;&nbsp; I. - a;&nbsp;&nbsp;&nbsp;  II. - e;&nbsp;&nbsp;&nbsp;  III. - d;&nbsp;&nbsp;&nbsp;  IV. - f;&nbsp;&nbsp;&nbsp;  V. - i. &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<b>E)</b>&nbsp;&nbsp;&nbsp; egyik párosítás sem tökéletes<br />

y default: it reads from stdin and writes to stdout.

But a non-switch argument specifies the file[.tex] to translate to file.xml.

Diagnostics concerning unknown or untranslated constructs are sent to stderr.

<div class="p"><!----></div>

  Obtain USAGE </td><td width="150">

 switch information by:   ttm -?

  Obtain QUALIFICATIONS by:               ttm -?q

<div class="p"><!----></div>

TtM may be used and distributed under the terms of the GPL version 2.
<br />&nbsp;<br /></div>
<div class="feladat">
<a name="_solution_algI_GHP_145_teszt_06" /><b>Megoldás: 7.6</b><br />
<b>B</b>
<br />&nbsp;<br />&nbsp;<br /></div>
</body></html>
