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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/b4e4a6278139f229e400052794c8867f">
<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. Vzdálenost bodu $B[1,\,-3]$ od kolmého průmětu bodu $A[3,\,-2]$ na přímku ${p:\,2x+y+1=0}$ je</td></tr>
<tr><td><label for="odp1a">a) $3$</label></td></tr>
<tr><td><label for="odp1b">b) $\sqrt{20}$</label></td></tr>
<tr><td><label for="odp1c">c) $0$</label></td></tr>
<tr><td><label for="odp1d">d) $1$</label></td></tr>
<tr><td><label for="odp1e">e) $2$</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. Počet společných bodů elipsy ${x^2+9y^2=9}$ a kružnice se středem v počátku soustavy souřadnic a poloměrem ${r=2}$ je</td></tr>
<tr><td><label for="odp2a">a) $3$</label></td></tr>
<tr><td><label for="odp2b">b) $4$</label></td></tr>
<tr><td><label for="odp2c">c) $0$</label></td></tr>
<tr><td><label for="odp2d">d) $2$</label></td></tr>
<tr><td><label for="odp2e">e) $1$</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. V geometrické posloupnosti je člen ${a_5=-8}$ a člen ${a_6=16}$. Člen $a_1$ je</td></tr>
<tr><td><label for="odp3a">a) $1$</label></td></tr>
<tr><td><label for="odp3b">b) $-1$</label></td></tr>
<tr><td><label for="odp3c">c) $\frac12$</label></td></tr>
<tr><td><label for="odp3d">d) $-\frac14$</label></td></tr>
<tr><td><label for="odp3e">e) $-\frac12$</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>
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</td>
<td>
<table class="otazky">
<tr><td>4. Jestliže ${\cos(\alpha+\pi)=1}$, pak</td></tr>
<tr><td><label for="odp4a">a) $\tg\alpha=1$</label></td></tr>
<tr><td><label for="odp4b">b) $\tg\alpha=0$</label></td></tr>
<tr><td><label for="odp4c">c) $\tg\alpha=-1$</label></td></tr>
<tr><td><label for="odp4d">d) $\tg\alpha$ nenť definován</label></td></tr>
<tr><td><label for="odp4e">e) $\tg\alpha=\frac{\sqrt3}3$</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>
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</td>
<td>
<table class="otazky">
<tr><td>5. Pravidelný trojboký jehlan $ABCV$ je vepsaný do polokoule o poloměru $r$ tak, že jeho podstava $ABC$ je vepsaná hraničnímu kruhu polokoule. Objem jehlanu je</td></tr>
<tr><td><label for="odp5a">a) ${\dfrac{\sqrt3}4\,r^3}$</label></td></tr>
<tr><td><label for="odp5b">b) ${\dfrac{\sqrt3}2\,r^3}$</label></td></tr>
<tr><td><label for="odp5c">c) ${\dfrac{\sqrt5}4\,r^3}$</label></td></tr>
<tr><td><label for="odp5d">d) ${\dfrac{\sqrt3}3\,r^3}$</label></td></tr>
<tr><td><label for="odp5e">e) ${\dfrac{\sqrt2}4\,r^3}$</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 ${\dfrac2{|x-3|}\le\dfrac12}$ s neznámou ${x\in\R}$ je</td></tr>
<tr><td><label for="odp6a">a) $(-\infty,\,\frac12\rangle $</label></td></tr>
<tr><td><label for="odp6b">b) $\langle -1,\,3)\cup(3,\,7\rangle $</label></td></tr>
<tr><td><label for="odp6c">c) $(-\infty,\,-1\rangle \cup\langle 7,\,\infty)$</label></td></tr>
<tr><td><label for="odp6d">d) $(-\infty,\,-1\rangle $</label></td></tr>
<tr><td><label for="odp6e">e) $\langle -1,\,3)\cup\langle 7,\,\infty)$</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. Goniometrický tvar komplexního čísla ${z=2[\cos(\frac12\pi)+\i\sin(\frac12\pi)]\cdot 3[\cos(\frac14\pi)+\i\sin(\frac14\pi)]}$ je</td></tr>
<tr><td><label for="odp7a">a) $6[\cos\pi+\i\sin\pi]$</label></td></tr>
<tr><td><label for="odp7b">b) $6[\cos(\frac12\pi)+\i\sin(\frac12\pi)]$</label></td></tr>
<tr><td><label for="odp7c">c) $6[\cos(\frac34\pi)+\i\sin(\frac34\pi)]$</label></td></tr>
<tr><td><label for="odp7d">d) $5[\cos\pi+\i\sin\pi]$</label></td></tr>
<tr><td><label for="odp7e">e) 5$[\cos(\frac34\pi)+\i\sin(\frac34\pi)]$</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. Pokud ${z\ne0\lland z\ne1\lland z\ne3\lland z\ne-3}$, je výraz ${\left(\dfrac{z^2-z}{z^2-9}\right)^{\!{-1}}: \dfrac{z^2-3z}{z-1}}$ roven</td></tr>
<tr><td><label for="odp8a">a) ${\dfrac{z-3}{2z}}$</label></td></tr>
<tr><td><label for="odp8b">b) ${\dfrac{z-3}{z^2}}$</label></td></tr>
<tr><td><label for="odp8c">c) ${\dfrac{z+3}{z}}$</label></td></tr>
<tr><td><label for="odp8d">d) ${\dfrac{z-3}{z}}$</label></td></tr>
<tr><td><label for="odp8e">e) ${\dfrac{z+3}{z^2}}$</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 ${\left|\sin x-2\right|=\cos^2x+1}$ je</td></tr>
<tr><td><label for="odp9a">a) $\bigcup_{k\in\Z} \{\frac12\pi+2k\pi,\,k\pi\}$</label></td></tr>
<tr><td><label for="odp9b">b) $\{-\frac12\pi,0,\frac12\pi,\pi\}$</label></td></tr>
<tr><td><label for="odp9c">c) $\bigcup_{k\in\Z} \{k\pi,\,\frac32\pi+k\pi\}$</label></td></tr>
<tr><td><label for="odp9d">d) $\bigcup_{k\in\Z} \{\frac12\pi+k\pi\}$</label></td></tr>
<tr><td><label for="odp9e">e) $\R$</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 ${\log_5y=1+2\log_5(x^2+4)-\frac12\log_5(2x+4)}$, pak číslo $y$ je rovno</td></tr>
<tr><td><label for="odp10a">a) $\dfrac{2(x^2+4)}{x+2}$</label></td></tr>
<tr><td><label for="odp10b">b) $\dfrac{5(x^2+4)^2}{\sqrt{2x+4}}$</label></td></tr>
<tr><td><label for="odp10c">c) $2x^2-x+7$</label></td></tr>
<tr><td><label for="odp10d">d) $\dfrac{10(x^2+4)}{x+2}$</label></td></tr>
<tr><td><label for="odp10e">e) $\dfrac{10(x^2+4)}{\sqrt{2x+4}}$</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. Graf funkce ${f(x)=|{-x^2+2x+3}|}\,$:</td></tr>
<tr><td><label for="odp11a">a) <img src='../GRAPHICSPATH/pr15a.png'></label></td></tr>
<tr><td><label for="odp11b">b) <img src='../GRAPHICSPATH/pr15b.png'></label></td></tr>
<tr><td><label for="odp11c">c) není na žádném z uvedených obrázků</label></td></tr>
<tr><td><label for="odp11d">d) <img src='../GRAPHICSPATH/pr15d.png'></label></td></tr>
<tr><td><label for="odp11e">e) <img src='../GRAPHICSPATH/pr15c.png'></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 ${f(x)=\ln{\dfrac{2-x}{|x+2|}}}$ je</td></tr>
<tr><td><label for="odp12a">a) $(0,\,2)$</label></td></tr>
<tr><td><label for="odp12b">b) $(-\infty,\,-2)\cup(2,\,\infty)$</label></td></tr>
<tr><td><label for="odp12c">c) $(-\infty,\,-2)\cup(-2,\,2)$</label></td></tr>
<tr><td><label for="odp12d">d) $(-2,\,0)\cup(0,\,2)$</label></td></tr>
<tr><td><label for="odp12e">e) $(-2,\,2)$</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 ${|2x-3|\ge|3x-2|}$ s neznámou ${x\in\R}$ je</td></tr>
<tr><td><label for="odp13a">a) $\langle -1,\,\frac32\rangle $</label></td></tr>
<tr><td><label for="odp13b">b) $\langle \frac23,\,\frac32\rangle $</label></td></tr>
<tr><td><label for="odp13c">c) $\langle \frac23,\,1\rangle $</label></td></tr>
<tr><td><label for="odp13d">d) $(-\infty,\,-1\rangle $</label></td></tr>
<tr><td><label for="odp13e">e) $\langle -1,\,1\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. Úsečka $AB$, ${|AB|=2r}$, je rozdělena na čtyři stejné úsečky. Nad každou z těchto čtyř úseček je sestrojena půlkružnice. Součet délek všech čtyř půlkružnic je</td></tr>
<tr><td><label for="odp14a">a) ${\dfrac{3\pi r}2\,}$</label></td></tr>
<tr><td><label for="odp14b">b) ${\pi r}$</label></td></tr>
<tr><td><label for="odp14c">c) ${3\pi r}$</label></td></tr>
<tr><td><label for="odp14d">d) ${\dfrac{5\pi r}4\,}$</label></td></tr>
<tr><td><label for="odp14e">e) ${\dfrac{\pi r}2\,}$</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 ${x^2+x+m^2+4m-5=0}$ (s neznámou $x$) má nulový kořen právě tehdy, když</td></tr>
<tr><td><label for="odp15a">a) $m=1\llor m=-5$</label></td></tr>
<tr><td><label for="odp15b">b) $m=0\llor m=1$</label></td></tr>
<tr><td><label for="odp15c">c) $m=\frac54$</label></td></tr>
<tr><td><label for="odp15d">d) $m=-4$</label></td></tr>
<tr><td><label for="odp15e">e) $m=-\sqrt5\llor m=\sqrt5$</label></td></tr>
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