188 lines
7.9 KiB
Python
188 lines
7.9 KiB
Python
import random
|
|
from math import gcd
|
|
import xml.etree.ElementTree as ET
|
|
|
|
def lcm(a, b):
|
|
"""Berechnet das kleinste gemeinsame Vielfache."""
|
|
return abs(a * b) // gcd(a, b)
|
|
|
|
def create_formula_question(numerator1, denominator1, numerator2, denominator2, n):
|
|
"""Erzeugt eine Frage im Format 'Formulas'."""
|
|
# GCD und das kleinste gemeinsame Vielfache für die Denominator
|
|
common_denominator = lcm(denominator1, denominator2)
|
|
new_numerator = (numerator1 * (common_denominator // denominator1)) + (numerator2 * (common_denominator // denominator2))
|
|
|
|
question = ET.Element('question', attrib={'type': 'formulas'})
|
|
|
|
name_elem = ET.SubElement(question, 'name')
|
|
text_elem = ET.SubElement(name_elem, 'text')
|
|
text_elem.text = 'Addition von 2 ungleichnamigen Brüchen {}'.format(n)
|
|
|
|
questiontext_elem = ET.SubElement(question, 'questiontext', attrib={'format': 'html'})
|
|
text_elem = ET.SubElement(questiontext_elem, 'text')
|
|
text_elem.text = '''<![CDATA[ <p>Addiere die Brüche und kürze das Ergebnis so weit wie möglich.</p>
|
|
<p>{#A} </p> ]]> '''
|
|
|
|
# Allgemeines Feedback
|
|
generalfeedback_elem = ET.SubElement(question, 'generalfeedback', attrib={'format': 'html'})
|
|
text_elem = ET.SubElement(generalfeedback_elem, 'text')
|
|
text_elem.text = ' '
|
|
|
|
# Grundlegende Bewertungsinformationen
|
|
ET.SubElement(question, 'defaultgrade').text = '1.0000000'
|
|
ET.SubElement(question, 'penalty').text = '0.3333333'
|
|
ET.SubElement(question, 'hidden').text = '0'
|
|
ET.SubElement(question, 'idnumber').text = ' '
|
|
|
|
# Feedback für korrekte und inkorrekte Antworten
|
|
correctfeedback_elem = ET.SubElement(question, 'correctfeedback', attrib={'format': 'html'})
|
|
text_elem = ET.SubElement(correctfeedback_elem, 'text')
|
|
text_elem.text = '''<![CDATA[ <p>Die Antwort ist richtig.</p> ]]> '''
|
|
|
|
partiallycorrectfeedback_elem = ET.SubElement(question, 'partiallycorrectfeedback', attrib={'format': 'html'})
|
|
text_elem = ET.SubElement(partiallycorrectfeedback_elem, 'text')
|
|
text_elem.text = '''<![CDATA[ <p>Die Antwort ist teilweise richtig.</p> ]]> '''
|
|
|
|
incorrectfeedback_elem = ET.SubElement(question, 'incorrectfeedback', attrib={'format': 'html'})
|
|
text_elem = ET.SubElement(incorrectfeedback_elem, 'text')
|
|
text_elem.text = '''<![CDATA[ <p>Die Antwort ist falsch.</p> ]]>'''
|
|
|
|
ET.SubElement(question, 'shownumcorrect')
|
|
|
|
varsrandom_elem = ET.SubElement(question, 'varsrandom')
|
|
text_elem = ET.SubElement(varsrandom_elem, 'text')
|
|
text_elem.text = f' '
|
|
|
|
# Globale Variablen definieren
|
|
varsglobal_elem = ET.SubElement(question, 'varsglobal')
|
|
text_elem = ET.SubElement(varsglobal_elem, 'text')
|
|
text_elem.text = f'n = [{numerator1}, {numerator2}];\n d = [{denominator1}, {denominator2}];'
|
|
|
|
answernumbering_elem = ET.SubElement(question, 'answernumbering')
|
|
text_elem = ET.SubElement(answernumbering_elem, 'text')
|
|
text_elem.text = 'ABCD'
|
|
|
|
# Antworten definieren
|
|
answers_elem = ET.SubElement(question, 'answers')
|
|
|
|
# Indizes für die Antworten
|
|
partindex_elem = ET.SubElement(answers_elem, 'partindex')
|
|
ET.SubElement(partindex_elem, 'text').text = '0'
|
|
|
|
placeholder_elem = ET.SubElement(answers_elem, 'placeholder')
|
|
ET.SubElement(placeholder_elem, 'text').text = '#A'
|
|
|
|
answermark_elem = ET.SubElement(answers_elem, 'answermark')
|
|
ET.SubElement(answermark_elem, 'text').text = '1'
|
|
|
|
answertype_elem = ET.SubElement(answers_elem, 'answertype')
|
|
ET.SubElement(answertype_elem, 'text').text = '0'
|
|
|
|
numbox_elem = ET.SubElement(answers_elem, 'numbox')
|
|
ET.SubElement(numbox_elem, 'text').text = '2'
|
|
|
|
# Berechnungsvariablen
|
|
vars1_elem = ET.SubElement(answers_elem, 'vars1')
|
|
vars1_elem_text = f'g = gcd(d[0],d[1]);\ncd = d[0]*d[1]/pow(g,2);\ne = [cd / d[0], cd / d[1]];\nnums = [n[0]*e[0], n[1]*e[1]];\nthesumnum = nums[0] + nums[1]'
|
|
ET.SubElement(vars1_elem, 'text').text = vars1_elem_text
|
|
|
|
# Antwort
|
|
answer_elem = ET.SubElement(answers_elem, 'answer')
|
|
answer_text = f'[thesumnum, cd]'
|
|
ET.SubElement(answer_elem, 'text').text = answer_text
|
|
|
|
answernotunique_elem = ET.SubElement(answers_elem, 'answernotunique')
|
|
ET.SubElement(answernotunique_elem, 'text').text = '0'
|
|
|
|
vars2_elem = ET.SubElement(answers_elem, 'vars2')
|
|
vars2_elem_text = u"<![CDATA[ ga = _0 == thesumnum && _1 == cd; gb = (_0 / _1) == (thesumnum / cd); ]]>"
|
|
ET.SubElement(vars2_elem, 'text').text = vars2_elem_text
|
|
|
|
correctness_elem = ET.SubElement(answers_elem, 'correctness')
|
|
ET.SubElement(correctness_elem, 'text').text = 'ga + 0.5*gb'
|
|
|
|
unitpenalty_elem = ET.SubElement(answers_elem, 'unitpenalty')
|
|
ET.SubElement(unitpenalty_elem, 'text').text = '1'
|
|
|
|
postunit_elem = ET.SubElement(answers_elem, 'postunit')
|
|
ET.SubElement(postunit_elem, 'text').text = ' '
|
|
|
|
ruleid_elem = ET.SubElement(answers_elem, 'ruleid')
|
|
ET.SubElement(ruleid_elem, 'text').text = '1'
|
|
|
|
otherrule_elem = ET.SubElement(answers_elem, 'otherrule')
|
|
ET.SubElement(otherrule_elem, 'text').text = ' '
|
|
|
|
# Unterfragen-Text
|
|
subqtext_elem = ET.SubElement(answers_elem, 'subqtext', attrib={'format': 'html'})
|
|
sub_question_text = '''<![CDATA[ <p>Berechne:</p> <p>\\(\\Large \\displaystyle \\frac{{n[0]}}{{d[0]}} + \\frac{{n[1]}}{{d[1]}} =\\) {_0} / {_1}</p> ]]> '''
|
|
ET.SubElement(subqtext_elem, 'text').text = sub_question_text
|
|
|
|
# Lösungshinweis
|
|
feedback_elem = ET.SubElement(answers_elem, 'feedback', attrib={'format': 'html'})
|
|
feedback_text = '''<![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> ]]>'''
|
|
ET.SubElement(feedback_elem, 'text').text = feedback_text
|
|
|
|
# correctfeedback
|
|
|
|
correctfeedback_elem = ET.SubElement(answers_elem, 'correctfeedback', attrib={'format': 'html'})
|
|
correctfeedback_text = '''<![CDATA[ <p>Richtig!</p>]]>'''
|
|
ET.SubElement(correctfeedback_elem, 'text').text = correctfeedback_text
|
|
|
|
# partially correct feedback
|
|
|
|
pcorrectfeedback_elem = ET.SubElement(answers_elem, 'partiallycorrectfeedback', attrib={'format': 'html'})
|
|
pcorrectfeedback_text = '''<![CDATA[ <p>Teilweise richtig.</p>]]>'''
|
|
ET.SubElement(pcorrectfeedback_elem, 'text').text = pcorrectfeedback_text
|
|
|
|
# incorrect feedback
|
|
incorrectfeedback_elem = ET.SubElement(answers_elem, 'incorrectfeedback', attrib={'format': 'html'})
|
|
incorrectfeedback_text = '''<![CDATA[ <p>Leider nicht richtig.</p>]]>'''
|
|
ET.SubElement(incorrectfeedback_elem, 'text').text = incorrectfeedback_text
|
|
|
|
return question
|
|
|
|
def generate_questions(num_questions):
|
|
"""Generiert Aufgaben für die Addition ungleichnamiger Brüche."""
|
|
questions = []
|
|
|
|
for i in range(num_questions):
|
|
numerator1 = random.randint(1, 10)
|
|
denominator1 = random.randint(2, 10)
|
|
numerator2 = random.randint(1, 10)
|
|
denominator2 = random.randint(2, 10)
|
|
|
|
# Sicherstellen, dass die Nenner unterschiedlich sind
|
|
while denominator1 == denominator2:
|
|
denominator2 = random.randint(2, 10)
|
|
|
|
question = create_formula_question(numerator1, denominator1, numerator2, denominator2, i)
|
|
questions.append(question)
|
|
|
|
return questions
|
|
|
|
def create_quiz(questions):
|
|
"""Erzeugt die gesamte Quiz-Struktur."""
|
|
quiz = ET.Element('quiz')
|
|
for q in questions:
|
|
quiz.append(q)
|
|
return quiz
|
|
|
|
def save_to_file(xml_element, filename):
|
|
"""Speichert das XML-Dokument in einer Datei."""
|
|
tree = ET.ElementTree(xml_element)
|
|
with open(filename, 'wb') as f:
|
|
tree.write(f, encoding='utf-8', xml_declaration=True)
|
|
|
|
# Hauptprogramm
|
|
if __name__ == "__main__":
|
|
num_questions = 1 # Anzahl der zu generierenden Aufgaben
|
|
questions = generate_questions(num_questions)
|
|
quiz = create_quiz(questions)
|
|
|
|
save_to_file(quiz, 'formulas_fraction_addition_quiz.xml')
|
|
|
|
print("Moodle-XML-Datei 'formulas_fraction_addition_quiz.xml' erfolgreich erstellt.")
|