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  Simpel matematisk quiz visende formler med LaTeX/MathML.
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QuizComposer
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&#x00a9;2006 Olaf Kayser &amp; Gunnar Mohr<br />
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Main site: <a href="http://www.quizcomposer.dk">www.quizcomposer.dk</a><br />

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<h3 class="heading">
  Simpel matematisk quiz visende formler med LaTeX/MathML.
</h3>


<!--intro-->
<div class="introduction">
  Denne quiz kan kun præsenteres fuldt korrekt af en browser, der kan vise matematiske formler, fx <a href='http://www.mozilla.org/'>Firefox</a>.<br />
<br />
Quizzen tester din viden om Matematisk Analyse.
</div>
<!--intro-->




<hr class="ruler" />


<!--qs1-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  1</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sin</mi>
<mo>(</mo><mn>0</mn><mo>)</mo><mo>=</mo>
</math>
</span>
<!-- <span class="label"></span> -->
<input type="text" name="qst_1" id="qst_1" value="" size="30"  onclick="ridQstMrks('qst_1');" />
<input type="hidden" name="round_1" value="1" />
<!--hint1-->
</div>
<hr class="ruler" />
<!--qe1-->
<!--qs2-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  2</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tan</mi>
<mo>(</mo><mi>&pi;</mi><mo>/</mo><mn>4</mn><mo>)</mo><mo>=</mo>
</math>
</span>
<!-- <span class="label"></span> -->
<input type="text" name="qst_2" id="qst_2" value="" size="30"  onclick="ridQstMrks('qst_2');" />
<input type="hidden" name="round_2" value="1" />
<!--hint2-->
</div>
<hr class="ruler" />
<!--qe2-->
<!--qs3-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  3</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>cos</mi>
<mo>(</mo><mi>&pi;</mi><mo>)</mo><mo>=</mo>
</math>
</span>
<!-- <span class="label"></span> -->
<input type="text" name="qst_3" id="qst_3" value="" size="30"  onclick="ridQstMrks('qst_3');" />
<input type="hidden" name="round_3" value="1" />
<!--hint3-->
</div>
<hr class="ruler" />
<!--qe3-->
<!--qs4-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  4</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>sin</mi> <mn>2</mn></msup>
<mi>x</mi><mo>+</mo><msup><mi>cos</mi> <mn>2</mn></msup><mi>x</mi><mo>=</mo>
</math>
</span>
<!-- <span class="label"></span> -->
<input type="text" name="qst_4" id="qst_4" value="" size="30"  onclick="ridQstMrks('qst_4');" />
<input type="hidden" name="round_4" value="1" />
<!--hint4-->
</div>
<hr class="ruler" />
<!--qe4-->
<!--qs5-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  5</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  sin-funktionen er:<br />
<input type="checkbox" name="qst_5" value="[a]" /> voksende<br />
<input type="checkbox" name="qst_5" value="[b]" /> aftagende<br />
<input type="checkbox" name="qst_5" value="[c]" /> ikke monoton.</span>
<input type="hidden" name="round_5" value="1" />
<!--hint5-->
</div>
<hr class="ruler" />
<!--qe5-->
<!--qs6-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  6</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Hvad hører sammen (klik på2 knapper):<br />
<input type="checkbox" name="qst_6" value="[a]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>=</mo><mi>sin</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_6" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>=</mo><mi>cos</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_6" value="[c]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>=</mo><mi>tan</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_6" value="[d]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><mi>sin</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_6" value="[e]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><mo lspace="thinthinmathspace" rspace="0em">-</mo><mi>cos</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_6" value="[f]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><mo lspace="thinthinmathspace" rspace="0em">-</mo><mi>sin</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_6" value="[g]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><msup><mi>cos</mi> <mn>2</mn></msup><mi>x</mi>
</math>
.</span>
<input type="hidden" name="round_6" value="1" />
<!--hint6-->
</div>
<hr class="ruler" />
<!--qe6-->
<!--qs7-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  7</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Hvad hører sammen (klik på 2 knapper):<br />
<input type="checkbox" name="qst_7" value="[a]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>=</mo><mi>ln</mi><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_7" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>=</mo><msup><mi>e</mi> <mi>x</mi></msup>
</math>
<br />
<input type="checkbox" name="qst_7" value="[c]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>=</mo><msqrt><mi>x</mi></msqrt>
</math>
<br />
<input type="checkbox" name="qst_7" value="[d]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><mi>x</mi>
</math>
<br />
<input type="checkbox" name="qst_7" value="[e]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><msqrt><mi>x</mi></msqrt>
</math>
<br />
<input type="checkbox" name="qst_7" value="[f]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><msup><mi>e</mi> <mrow><mo lspace="thinthinmathspace" rspace="0em">-</mo>
<mi>x</mi></mrow></msup>
</math>
<br />
<input type="checkbox" name="qst_7" value="[g]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><mn>1</mn><mo>/</mo><msup><mi>x</mi> <mn>2</mn></msup>
</math>
<br />
<input type="checkbox" name="qst_7" value="[h]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi>
<mo>'</mo><mo>=</mo><mn>1</mn><mo>/</mo><mi>x</mi>
</math>
.</span>
<input type="hidden" name="round_7" value="1" />
<!--hint7-->
</div>
<hr class="ruler" />
<!--qe7-->
<!--qs8-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  8</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Kan <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi>
<mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo>
</math>
 omskrives til en af følgende:<br />
<input type="checkbox" name="qst_8" value="[a]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi>
<mi>a</mi><mo>+</mo><mi>ln</mi><mi>b</mi>
</math>
<br />
<input type="checkbox" name="qst_8" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi>
<mi>a</mi><mo>&sdot;</mo><mi>ln</mi><mi>b</mi>
</math>
<br />
<input type="checkbox" name="qst_8" value="[c]" /> intet simplere<br />
Klik på en knap.</span>
<input type="hidden" name="round_8" value="1" />
<!--hint8-->
</div>
<hr class="ruler" />
<!--qe8-->
<!--qs9-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  9</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Kan <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi>
<mo>(</mo><mi>a</mi><mo>/</mo><mi>b</mi><mo>)</mo>
</math>
 omskrives til<br />
<input type="checkbox" name="qst_9" value="[a]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mi>ln</mi>
<mi>a</mi></mrow>
<mo>/</mo><mrow><mi>ln</mi>
<mi>b</mi></mrow>
</math>
<br />
<input type="checkbox" name="qst_9" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ln</mi>
<mi>a</mi><mo>-</mo><mi>ln</mi><mi>b</mi>
</math>
<br />
<input type="checkbox" name="qst_9" value="[c]" /> intet simplere.</span>
<input type="hidden" name="round_9" value="1" />
<!--hint9-->
</div>
<hr class="ruler" />
<!--qe9-->
<!--qs10-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  10</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Hvilket af følgende udtryk kan <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>(</mo>
<msup><mi>x</mi> <mi>a</mi></msup><msup><mo>)</mo> <mi>b</mi></msup>
</math>
 omskrives til:<br />
<input type="checkbox" name="qst_10" value="[a]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi> <mrow><mi>a</mi>
<mo>+</mo><mi>b</mi></mrow></msup>

</math>
<br />
<input type="checkbox" name="qst_10" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi> <mi>a</mi></msup>
<mo>&sdot;</mo><msup><mi>x</mi> <mi>b</mi></msup>
</math>
<br />
<input type="checkbox" name="qst_10" value="[c]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi> <mo>(</mo></msup>
<msup><mi>a</mi> <mi>b</mi></msup><mo>)</mo>
</math>
<br />
<input type="checkbox" name="qst_10" value="[d]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>x</mi> <mrow><mi>a</mi>
<mo>&sdot;</mo><mi>b</mi></mrow></msup>

</math>
.</span>
<input type="hidden" name="round_10" value="1" />
<!--hint10-->
</div>
<hr class="ruler" />
<!--qe10-->
<!--qs11-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  11</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Hvilket udtryk kan <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>e</mi> <mrow><mi>a</mi>
<mo>+</mo><mi>b</mi></mrow></msup>

</math>
 omskrives til:<br />
<input type="checkbox" name="qst_11" value="[a]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>e</mi> <mi>a</mi></msup>
<mo>+</mo><msup><mi>e</mi> <mi>b</mi></msup>
</math>
<br />
<input type="checkbox" name="qst_11" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><msup><mi>e</mi> <mi>a</mi></msup>
<mo>&sdot;</mo><msup><mi>e</mi> <mi>b</mi></msup>
</math>
<br />
<input type="checkbox" name="qst_11" value="[c]" /> intet simplere.</span>
<input type="hidden" name="round_11" value="1" />
<!--hint11-->
</div>
<hr class="ruler" />
<!--qe11-->
<!--qs12-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  12</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Er <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>|</mo>
<mn>5</mn><mo>|</mo>
</math>
 lig:<br />
<input type="checkbox" name="qst_12" value="[a]" /> 5 eller<br />
<input type="checkbox" name="qst_12" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&pm;</mo>
<mn>5</mn>
</math>
.</span>
<input type="hidden" name="round_12" value="1" />
<!--hint12-->
</div>
<hr class="ruler" />
<!--qe12-->
<!--qs13-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  13</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Er <math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>9</mn></msqrt>

</math>
 lig:<br />
<input type="checkbox" name="qst_13" value="[a]" /> 3<br />
<input type="checkbox" name="qst_13" value="[b]" /> <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&pm;</mo>
<mn>3</mn>
</math>
.</span>
<input type="hidden" name="round_13" value="1" />
<!--hint13-->
</div>
<hr class="ruler" />
<!--qe13-->
<!--qs14-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  14</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Reducer brøken <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><msup><mi>x</mi> <mn>2</mn></msup>
<mo>-</mo><msup><mi>y</mi> <mn>2</mn></msup></mrow><mrow><mi>x</mi>
<mo>-</mo><mi>y</mi></mrow></mfrac>

</math>
<br />
Angiv svaret med 3 tegn adskilte af blanke:<br /> <input type="text" name="qst_14" id="qst_14_1" value=" " size="10" onclick="ridQstMrks('qst_14_1');" ondblclick="insert_slct('qst_14_1');" /> </span>
<!-- <span class="label"></span> -->
<input type="hidden" name="round_14" value="1" />
<!--hint14-->
</div>
<hr class="ruler" />
<!--qe14-->
<!--qs15-->
<div class="question">
<span class="beforenumber">  Spm.</span>
<span class="number">  15</span><span class="weight"></span><span class="afternumber">  :</span>
<span class="phrase">  Hvilke(t) af følgende er korrekt:<br />
<input type="checkbox" name="qst_15" value="[a]" /> f er kontinuert <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&Leftrightarrow;</mo>

</math>
 f er differentiabel<br />
<input type="checkbox" name="qst_15" value="[b]" /> f er kontinuert <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&Rightarrow;</mo>

</math>
 f er differentiabel<br />
<input type="checkbox" name="qst_15" value="[c]" /> f er kontinuert <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&Leftarrow;</mo>

</math>
 f er differentiabel<br />
<input type="checkbox" name="qst_15" value="[d]" /> intet af ovenstående udsagn.</span>
<input type="hidden" name="round_15" value="1" />
<!--hint15-->
</div>
<hr class="ruler" />
<!--qe15-->

<div class="submit">
  Når alle spørgsmål er besvaret klik på denne knap:
<input type="submit" name="submitengraving" value="  AFSEND DENNE BESVARELSE" />
<br />
</div>


<hr class="ruler" />


<div class="printnotice">
  Brug Print-knappen ovenfor hvis du ønsker en udskrift af denne besvarelse.
<br />
</div>

<div class="printnotice">
  Dit identifikationsnavn (kun for print) :<input type="text" name="identprint" size="40" value="" />
<br />
</div>



<input type="hidden" name="quizformat" value="200101" />
<input type="hidden" name="quiztype" value="N" />
<input type="hidden" name="htmlfile" value="mathml_dk.xml" />
<input type="hidden" name="quizauthor" value="examples-da" />
<input type="hidden" name="q_language" value="dk" />
<input type="hidden" name="stdhintsfile" value="" />

</form>
</body>
</html>
<!-- Copyright: Olaf Kayser 2001 (Open Source/ Gnu General Public License) -->

