118 lines
2.9 KiB
XML
118 lines
2.9 KiB
XML
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<?xml version="1.0" encoding="UTF-8"?>
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<quiz>
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<!-- question: 35853 -->
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<question type="formulas">
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<name>
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<text>Addition von 2 ungleichnamigen Brüchen</text>
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</name>
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<questiontext format="html">
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<text>
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<![CDATA[<p>Addiere die Brüche und kürze das Ergebnis so weit wie möglich.</p><p>{#A}</p>]]>
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</text>
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</questiontext>
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<generalfeedback format="html">
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<text></text>
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</generalfeedback>
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<defaultgrade>1.0000000</defaultgrade>
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<penalty>0.3333333</penalty>
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<hidden>0</hidden>
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<idnumber></idnumber>
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<correctfeedback format="html">
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<text>
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<![CDATA[<p>Die Antwort ist richtig.</p>]]>
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</text>
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</correctfeedback>
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<partiallycorrectfeedback format="html">
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<text>
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<![CDATA[<p>Die Antwort ist teilweise richtig.</p>]]>
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</text>
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</partiallycorrectfeedback>
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<incorrectfeedback format="html">
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<text>
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<![CDATA[<p>Die Antwort ist falsch.</p>]]>
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</text>
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</incorrectfeedback>
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<shownumcorrect/>
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<varsrandom>
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<text></text>
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</varsrandom>
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<varsglobal>
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<text>n = [3, 7];
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d = [2, 3];</text>
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</varsglobal>
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<answernumbering>
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<text>ABCD</text>
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</answernumbering>
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<answers>
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<partindex>
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<text>0</text>
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</partindex>
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<placeholder>
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<text>#A</text>
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</placeholder>
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<answermark>
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<text>1</text>
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</answermark>
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<answertype>
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<text>0</text>
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</answertype>
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<numbox>
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<text>2</text>
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</numbox>
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<vars1>
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<text>g = gcd(d[0],d[1]);
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cd = d[0]*d[1]/pow(g,2);
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e = [cd / d[0], cd / d[1]];
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nums = [n[0]*e[0], n[1]*e[1]];
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thesumnum = nums[0] + nums[1]</text>
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</vars1>
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<answer>
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<text>[thesumnum, cd]</text>
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</answer>
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<answernotunique>
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<text>0</text>
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</answernotunique>
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<vars2>
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<text>
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<![CDATA[ga = _0 == thesumnum && _1 == cd;
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gb = (_0 / _1) == (thesumnum / cd);]]>
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</text>
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</vars2>
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<correctness>
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<text>ga + 0.5*gb</text>
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</correctness>
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<unitpenalty>
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<text>1</text>
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</unitpenalty>
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<postunit>
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<text></text>
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</postunit>
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<ruleid>
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<text>1</text>
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</ruleid>
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<otherrule>
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<text></text>
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</otherrule>
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<subqtext format="html">
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<text>
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<![CDATA[<p>Berechne:</p><p>\(\Large \displaystyle \frac{{n[0]}}{{d[0]}} + \frac{{n[1]}}{{d[1]}} =\) {_0} / {_1}</p>]]>
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</text>
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</subqtext>
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<feedback format="html">
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<text>
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<![CDATA[<h4>Lösungshinweis</h4><p>Die korrekte Lösung ist:</p><p>\(\Large \displaystyle \frac{{n[0]}}{{d[0]}} + \frac{{n[1]}}{{d[1]}} = \frac{{nums[0]}}{{cd}} + \frac{{nums[1]}}{{cd}} = \frac{{thesumnum}}{{cd}}\)</p>]]>
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</text>
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</feedback>
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<correctfeedback format="html">
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<text></text>
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</correctfeedback>
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<partiallycorrectfeedback format="html">
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<text></text>
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</partiallycorrectfeedback>
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<incorrectfeedback format="html">
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<text></text>
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</incorrectfeedback>
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</answers>
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</question>
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</quiz>
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