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<title>Přijímací zkoušky z matematiky - online testování | ČVUT FSv - K101 Matematika</title>
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</a>
<p style="padding: 0.5em;"><strong><a href="http://intranet.cvut.cz/cs?set_language=cs" title="ČVUT">ČVUT</a> <a href="http://www.fsv.cvut.cz/hlavni.php" title="Fakulta stavební">FSv</a></strong>
– <strong><a href="https://mat.fsv.cvut.cz/" title="Katedra matematiky">
Katedra matematiky</a></strong><br />
Thákurova 7, 166 29 Praha 6<br />
Tel.: <a href="tel:+420224354390"><strong>+420 / 224 354 390</strong></a>
</p>
</div>
<div id="eu">
<img src="/entrance/images/opvvv.jpg" /><br />
<table>
<tr><td>Příjemce:</td><td>České vysoké učení technické v Praze</td></tr>
<tr><td>Registrační číslo projektu:</td><td>CZ.02.2.69/0.0/0.0/16_015/0002382</td></tr>
<tr><td>Název projektu dle MS2014+:</td><td>Institucionální podpora Českého vysokého učení technického v Praze</td></tr>
</table>
</div>
<h2>Přijímací zkoušky z matematiky – online testování</h2>
<div id="zbyvacas" class="zbyvac1"></div>
<form method="post" accept-charset="utf-8" action="/entrance/oprav/75f1bd5d0bc21f6c379fd037a456653e">
<p>V následujícím online testu se na každou z 15 otázek nabízí 5 odpovědí, ale vždy <strong>jen jedna</strong> je správná.</p>
<p>Výsledek, který považujete za správný, <strong>označte v obrazci vlevo</strong>.</p>
<p>Označování odpovědí funguje ve všech prohlížečích, které podporují CSS pseudo třídu <code>:checked</code>. Pokud se Vám odpovědi neoznačují, přestože jste je vybrali, zkuste jiný prohlížeč. I pokud se Vám odpovědi neoznačují, přestože jste je vybrali, jsou vybrané a zpracují se po odeslání testu k vyhodnocení.</p>
<p>Doba vymezená na provedení testu je <strong>70 minut</strong>. Po uplynutí této doby testu je test ukončen a vyhodnocen. Test lze ukončit před uplynutím této doby. Zbývající doba je zobrazena v pravém horním rohu.</p>
<p id="java" class="cerveny">Pro správnou funkci je zapotřebí mít povolený javascript.</p>
<table class="test">
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="1" id="odp1a" type="radio" value="1" /><label for="odp1a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="1" id="odp1b" type="radio" value="2" /><label for="odp1b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="1" id="odp1c" type="radio" value="3" /><label for="odp1c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="1" id="odp1d" type="radio" value="4" /><label for="odp1d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="1" id="odp1e" type="radio" value="5" /><label for="odp1e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>1. Trojúhelník $ABC$ o základně $AB$, kde $A[-4,\,3]$, $B[2,\,5]$, jehož vrchol $C$ leží na ose $x$, je rovnoramenný právě tehdy, když</td></tr>
<tr><td><label for="odp1a">a) $C[-1,\,0]$</label></td></tr>
<tr><td><label for="odp1b">b) $C[-\frac13,\,0]$</label></td></tr>
<tr><td><label for="odp1c">c) $C[\frac13,\,0]$</label></td></tr>
<tr><td><label for="odp1d">d) $C[1,\,0]$</label></td></tr>
<tr><td><label for="odp1e">e) $C[3,\,0]$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha dvojita"><input name="2" id="odp2a" type="radio" value="1" /><label for="odp2a">a</label></td>
<td> </td>
<td class="licha dvojita"><input name="2" id="odp2b" type="radio" value="2" /><label for="odp2b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha dvojita"><input name="2" id="odp2c" type="radio" value="3" /><label for="odp2c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha dvojita"><input name="2" id="odp2d" type="radio" value="4" /><label for="odp2d">d</label></td>
<td> </td>
<td class="licha dvojita"><input name="2" id="odp2e" type="radio" value="5" /><label for="odp2e">e</label></td>
</tr>
</table>
2 body
</td>
<td>
<table class="otazky">
<tr><td>2. Rovnice tečny kružnice ${x^2+y^2-5=0}$ v jejím průsečíku s elipsou ${x^2+4y^2=17}$, který leží v 1. kvadrantu, je</td></tr>
<tr><td><label for="odp2a">a) ${x+2y-5=0}$</label></td></tr>
<tr><td><label for="odp2b">b) ${3x+y-5=0}$</label></td></tr>
<tr><td><label for="odp2c">c) ${x+y+5=0}$</label></td></tr>
<tr><td><label for="odp2d">d) ${x-2y-5=0}$</label></td></tr>
<tr><td><label for="odp2e">e) ${-x+y-5=0}$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="3" id="odp3a" type="radio" value="1" /><label for="odp3a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="3" id="odp3b" type="radio" value="2" /><label for="odp3b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="3" id="odp3c" type="radio" value="3" /><label for="odp3c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="3" id="odp3d" type="radio" value="4" /><label for="odp3d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="3" id="odp3e" type="radio" value="5" /><label for="odp3e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>3. Člen $a_2$ posloupnosti $(a_n)_{n=1}^{\infty}$, která je dána rekurentní formulí ${a_{n+1}=(n+1)a_n+3}$ a členem ${a_4=7}$, je</td></tr>
<tr><td><label for="odp3a">a) $\frac32$</label></td></tr>
<tr><td><label for="odp3b">b) $-\frac{11}6$</label></td></tr>
<tr><td><label for="odp3c">c) $1$</label></td></tr>
<tr><td><label for="odp3d">d) $-\frac23$</label></td></tr>
<tr><td><label for="odp3e">e) $-\frac56$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="4" id="odp4a" type="radio" value="1" /><label for="odp4a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="4" id="odp4b" type="radio" value="2" /><label for="odp4b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="4" id="odp4c" type="radio" value="3" /><label for="odp4c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="4" id="odp4d" type="radio" value="4" /><label for="odp4d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="4" id="odp4e" type="radio" value="5" /><label for="odp4e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>4. Jestliže ${\cos(\alpha+\frac12\pi)=-1}$, pak</td></tr>
<tr><td><label for="odp4a">a) $\tg\alpha$ není definován</label></td></tr>
<tr><td><label for="odp4b">b) $\tg\alpha=1$</label></td></tr>
<tr><td><label for="odp4c">c) $\tg\alpha=0$</label></td></tr>
<tr><td><label for="odp4d">d) $\tg\alpha=\sqrt3$</label></td></tr>
<tr><td><label for="odp4e">e) $\tg\alpha=-1$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha dvojita"><input name="5" id="odp5a" type="radio" value="1" /><label for="odp5a">a</label></td>
<td> </td>
<td class="licha dvojita"><input name="5" id="odp5b" type="radio" value="2" /><label for="odp5b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha dvojita"><input name="5" id="odp5c" type="radio" value="3" /><label for="odp5c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha dvojita"><input name="5" id="odp5d" type="radio" value="4" /><label for="odp5d">d</label></td>
<td> </td>
<td class="licha dvojita"><input name="5" id="odp5e" type="radio" value="5" /><label for="odp5e">e</label></td>
</tr>
</table>
2 body
</td>
<td>
<table class="otazky">
<tr><td>5. Poměr objemu krychle $ABCDEFGH$ a objemu jehlanu $ABCF$ je</td></tr>
<tr><td><label for="odp5a">a) $4:1$</label></td></tr>
<tr><td><label for="odp5b">b) $3:2$</label></td></tr>
<tr><td><label for="odp5c">c) $6:1$</label></td></tr>
<tr><td><label for="odp5d">d) $5:1$</label></td></tr>
<tr><td><label for="odp5e">e) $5:2$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="6" id="odp6a" type="radio" value="1" /><label for="odp6a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="6" id="odp6b" type="radio" value="2" /><label for="odp6b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="6" id="odp6c" type="radio" value="3" /><label for="odp6c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="6" id="odp6d" type="radio" value="4" /><label for="odp6d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="6" id="odp6e" type="radio" value="5" /><label for="odp6e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>6. Množinou všech řešení nerovnice ${2^{|x-1|}>4}$ s neznámou ${x\in\R}$ je</td></tr>
<tr><td><label for="odp6a">a) $(-\infty,\,-1)\cup(3,\,\infty)$</label></td></tr>
<tr><td><label for="odp6b">b) $(5,\,\infty)$</label></td></tr>
<tr><td><label for="odp6c">c) $(-\infty,\,-3)\cup(5,\,\infty)$</label></td></tr>
<tr><td><label for="odp6d">d) $(-\infty,\,1)\cup(1,\,\infty)$</label></td></tr>
<tr><td><label for="odp6e">e) $\emptyset$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="7" id="odp7a" type="radio" value="1" /><label for="odp7a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="7" id="odp7b" type="radio" value="2" /><label for="odp7b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="7" id="odp7c" type="radio" value="3" /><label for="odp7c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="7" id="odp7d" type="radio" value="4" /><label for="odp7d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="7" id="odp7e" type="radio" value="5" /><label for="odp7e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>7. Absolutní hodnota komplexního čísla ${z=6+10\i+(2-3\i)^2}$ je</td></tr>
<tr><td><label for="odp7a">a) $1$</label></td></tr>
<tr><td><label for="odp7b">b) $3$</label></td></tr>
<tr><td><label for="odp7c">c) $\sqrt{5}$</label></td></tr>
<tr><td><label for="odp7d">d) $\sqrt{3}$</label></td></tr>
<tr><td><label for="odp7e">e) $5$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="8" id="odp8a" type="radio" value="1" /><label for="odp8a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="8" id="odp8b" type="radio" value="2" /><label for="odp8b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="8" id="odp8c" type="radio" value="3" /><label for="odp8c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="8" id="odp8d" type="radio" value="4" /><label for="odp8d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="8" id="odp8e" type="radio" value="5" /><label for="odp8e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>8. Výraz ${\dfrac{a-1}{a^3-ax(2a-x)}}$ má smysl, pokud</td></tr>
<tr><td><label for="odp8a">a) ${a\ne0\lland a\ne 1}$</label></td></tr>
<tr><td><label for="odp8b">b) ${a\ne-1\lland a\ne x}$</label></td></tr>
<tr><td><label for="odp8c">c) ${a\ne1\lland a\ne x}$</label></td></tr>
<tr><td><label for="odp8d">d) ${a\ne0\lland a\ne x}$</label></td></tr>
<tr><td><label for="odp8e">e) ${a\ne0\lland a\ne-x}$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="9" id="odp9a" type="radio" value="1" /><label for="odp9a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="9" id="odp9b" type="radio" value="2" /><label for="odp9b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="9" id="odp9c" type="radio" value="3" /><label for="odp9c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="9" id="odp9d" type="radio" value="4" /><label for="odp9d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="9" id="odp9e" type="radio" value="5" /><label for="odp9e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>9. Množinou všech řešení rovnice ${\sin 2x-\sqrt2\sin x=0}$ je</td></tr>
<tr><td><label for="odp9a">a) $\bigcup_{k\in\Z} \{k\pi,\,-\frac14\pi+2k\pi\}$</label></td></tr>
<tr><td><label for="odp9b">b) $\bigcup_{k\in\Z} \{2k\pi,\,-\frac14\pi+2k\pi\}$</label></td></tr>
<tr><td><label for="odp9c">c) $\bigcup_{k\in\Z} \{k\pi,\,\frac14\pi+k\pi\}$</label></td></tr>
<tr><td><label for="odp9d">d) $\bigcup_{k\in\Z} \{\frac14\pi+2k\pi,\,-\frac14\pi+2k\pi\}$</label></td></tr>
<tr><td><label for="odp9e">e) $\bigcup_{k\in\Z} \{k\pi,\,\frac14\pi+2k\pi,\,-\frac14\pi+2k\pi\}$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="10" id="odp10a" type="radio" value="1" /><label for="odp10a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="10" id="odp10b" type="radio" value="2" /><label for="odp10b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="10" id="odp10c" type="radio" value="3" /><label for="odp10c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="10" id="odp10d" type="radio" value="4" /><label for="odp10d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="10" id="odp10e" type="radio" value="5" /><label for="odp10e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>10. Jestliže ${\log_9y=2\log_9(x+1)-\log_9(x^2-1)+\frac12}$, pak číslo $y$ je rovno</td></tr>
<tr><td><label for="odp10a">a) $\dfrac{x^2+1}{x^2-1}$</label></td></tr>
<tr><td><label for="odp10b">b) $\str 2x-x^2+\frac32$</label></td></tr>
<tr><td><label for="odp10c">c) $\dfrac{(x+1)^2}{x^2-1}$</label></td></tr>
<tr><td><label for="odp10d">d) $\dfrac{(x+1)^2}{2(x^2-1)}$</label></td></tr>
<tr><td><label for="odp10e">e) $\dfrac{3(x+1)^2}{x^2-1}$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="11" id="odp11a" type="radio" value="1" /><label for="odp11a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="11" id="odp11b" type="radio" value="2" /><label for="odp11b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="11" id="odp11c" type="radio" value="3" /><label for="odp11c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="11" id="odp11d" type="radio" value="4" /><label for="odp11d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="11" id="odp11e" type="radio" value="5" /><label for="odp11e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>11. <img src='../GRAPHICSPATH/pr27.png' style='float: right; margin-left: 0.5em;'> Na obrázku je graf funkce</td></tr>
<tr><td><label for="odp11a">a) $y=(x-1)^{-2}-3$</label></td></tr>
<tr><td><label for="odp11b">b) $y=(x+1)^{-2}-3$</label></td></tr>
<tr><td><label for="odp11c">c) $y=(x+1)^{-1}+3$</label></td></tr>
<tr><td><label for="odp11d">d) $y=(x-1)^{-2}+3$</label></td></tr>
<tr><td><label for="odp11e">e) $y=(x+1)^{-2}+3$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha jednoducha"><input name="12" id="odp12a" type="radio" value="1" /><label for="odp12a">a</label></td>
<td> </td>
<td class="licha jednoducha"><input name="12" id="odp12b" type="radio" value="2" /><label for="odp12b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha jednoducha"><input name="12" id="odp12c" type="radio" value="3" /><label for="odp12c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha jednoducha"><input name="12" id="odp12d" type="radio" value="4" /><label for="odp12d">d</label></td>
<td> </td>
<td class="licha jednoducha"><input name="12" id="odp12e" type="radio" value="5" /><label for="odp12e">e</label></td>
</tr>
</table>
1 bod
</td>
<td>
<table class="otazky">
<tr><td>12. Maximální definiční obor funkce ${f(x)=\tg x+\cotg x}$ je</td></tr>
<tr><td><label for="odp12a">a) $\R-\bigcup_{k\in\Z} \{\frac12k\pi\}$</label></td></tr>
<tr><td><label for="odp12b">b) $\bigcup_{k\in\Z} (-\frac12\pi+k\pi,\,\frac12\pi+k\pi)$</label></td></tr>
<tr><td><label for="odp12c">c) $\R-\bigcup_{k\in\Z} \{\frac12\pi+k\pi\}$</label></td></tr>
<tr><td><label for="odp12d">d) $\R-\bigcup_{k\in\Z} \{k\pi\}$</label></td></tr>
<tr><td><label for="odp12e">e) $\bigcup_{k\in\Z} (2k\pi,\,\frac12\pi+2k\pi)$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha dvojita"><input name="13" id="odp13a" type="radio" value="1" /><label for="odp13a">a</label></td>
<td> </td>
<td class="licha dvojita"><input name="13" id="odp13b" type="radio" value="2" /><label for="odp13b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha dvojita"><input name="13" id="odp13c" type="radio" value="3" /><label for="odp13c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha dvojita"><input name="13" id="odp13d" type="radio" value="4" /><label for="odp13d">d</label></td>
<td> </td>
<td class="licha dvojita"><input name="13" id="odp13e" type="radio" value="5" /><label for="odp13e">e</label></td>
</tr>
</table>
2 body
</td>
<td>
<table class="otazky">
<tr><td>13. Množinou všech řešení nerovnice ${|x-1|\le|x-3|}$ s neznámou ${x\in\R}$ je</td></tr>
<tr><td><label for="odp13a">a) $(-\infty,\,1\rangle $</label></td></tr>
<tr><td><label for="odp13b">b) $\langle 3,\,\infty)$</label></td></tr>
<tr><td><label for="odp13c">c) $(-\infty,\,2\rangle $</label></td></tr>
<tr><td><label for="odp13d">d) $\emptyset$</label></td></tr>
<tr><td><label for="odp13e">e) $\langle 1,\,3\rangle $</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha dvojita"><input name="14" id="odp14a" type="radio" value="1" /><label for="odp14a">a</label></td>
<td> </td>
<td class="licha dvojita"><input name="14" id="odp14b" type="radio" value="2" /><label for="odp14b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha dvojita"><input name="14" id="odp14c" type="radio" value="3" /><label for="odp14c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha dvojita"><input name="14" id="odp14d" type="radio" value="4" /><label for="odp14d">d</label></td>
<td> </td>
<td class="licha dvojita"><input name="14" id="odp14e" type="radio" value="5" /><label for="odp14e">e</label></td>
</tr>
</table>
2 body
</td>
<td>
<table class="otazky">
<tr><td>14. Tětiva jednotkové kružnice, které odpovídají obvodové úhly velikosti $60^\circ$, určuje dvě kruhové úseče. Poměr výšek těchto úsečí je</td></tr>
<tr><td><label for="odp14a">a) ${3:1}$</label></td></tr>
<tr><td><label for="odp14b">b) ${\sqrt2:1}$</label></td></tr>
<tr><td><label for="odp14c">c) ${\sqrt3:1}$</label></td></tr>
<tr><td><label for="odp14d">d) ${2:\sqrt3}$</label></td></tr>
<tr><td><label for="odp14e">e) ${3:2}$</label></td></tr>
</table>
</td>
</tr>
<tr>
<td>
<table class="odpovedi">
<tr>
<td class="licha dvojita"><input name="15" id="odp15a" type="radio" value="1" /><label for="odp15a">a</label></td>
<td> </td>
<td class="licha dvojita"><input name="15" id="odp15b" type="radio" value="2" /><label for="odp15b">b</label></td>
</tr>
<tr>
<td> </td>
<td class="licha dvojita"><input name="15" id="odp15c" type="radio" value="3" /><label for="odp15c">c</label></td>
<td> </td>
</tr>
<tr>
<td class="licha dvojita"><input name="15" id="odp15d" type="radio" value="4" /><label for="odp15d">d</label></td>
<td> </td>
<td class="licha dvojita"><input name="15" id="odp15e" type="radio" value="5" /><label for="odp15e">e</label></td>
</tr>
</table>
2 body
</td>
<td>
<table class="otazky">
<tr><td>15. Rovnice ${ax^2-2x-2=0}$ (s neznámou $x$) má dva různé reálné kořeny právě tehdy, když</td></tr>
<tr><td><label for="odp15a">a) $a\in(\frac12,\,\infty)$</label></td></tr>
<tr><td><label for="odp15b">b) $a\in(0,\,\infty)$</label></td></tr>
<tr><td><label for="odp15c">c) $a\in(-\frac12,\,0)\cup(0,\,\infty)$</label></td></tr>
<tr><td><label for="odp15d">d) $a\ne0$</label></td></tr>
<tr><td><label for="odp15e">e) $a\in(-2,\,0)\cup(0,\,\infty)$</label></td></tr>
</table>
</td>
</tr>
</table>
<p class="odeslat">
<a class="button" style="float: left;" href="/entrance/online">Zpět na hlavní stránku</a>
<input type="submit" id="testj" name="testj" onclick='return getAlert("Vypršel čas!");' value="Vyhodnotit" />
<input type="submit" id="testp" name="testp" onclick='return getConfirmation("Opravdu chcete ukončit test?");' value="Vyhodnotit" />
</p>
</form>
<script type="text/javascript">
var zbyva, minut, zbyvaminut, zm;
function spust() {
var zc = window.document.getElementById('zbyvacas');
var zbyvams = 0;
var jscas = 70
// var jscas = 1;
zbyvams = jscas * 60 * 1000;
zbyva = setTimeout(function () {
document.getElementById("testj").click()
}, zbyvams);
zbyvaminut = jscas;
zm = zbyvaminut.toString();
zc.innerHTML = 'Zbývá ' + zm + ' minut';
if (zbyvaminut < 6) zc.className = 'zbyvac2';
if (zbyvaminut < 5) zc.innerHTML = 'Zbývají ' + zm + ' minuty';
if (zbyvaminut < 2) {
zc.className = 'zbyvac3';
zc.innerHTML = 'Zbývá < ' + zm + ' minuta';
}
minut = setInterval(function () {
minuty()
}, 60000);
window.document.getElementById('java').style.display = "none";
}
function minuty() {
var zc = window.document.getElementById('zbyvacas');
--zbyvaminut;
zm = zbyvaminut.toString();
zc.innerHTML = 'Zbývá ' + zm + ' minut';
if (zbyvaminut < 6) zc.className = 'zbyvac2';
if (zbyvaminut < 5) zc.innerHTML = 'Zbývají ' + zm + ' minuty';
if (zbyvaminut < 2) {
zc.className = 'zbyvac3';
zc.innerHTML = 'Zbývá < ' + zm + ' minuta';
}
}
window.onload = spust;
</script>
<script type="text/javascript">
function getConfirmation(zprava) {
var retVal = confirm(zprava);
if (retVal == true) { return true; }
else { return false; }
}
</script>
<script type="text/javascript">
function getAlert(zprava) {
alert(zprava);
return true;
}
</script>
<div>
<p class="nastred">
© 2017–2020 FSv ČVUT v Praze.
Připomínky <a href="mailto:11101_WEBMASTER@ms.cvut.cz?Subject=Stránky%20testů%20na%20přijímačky" title="Správci webových stránek K-101">směřujte</a> na správce webu.
</p>
</div>
</body>
</html>