import xml.etree.ElementTree as ET import random from math import gcd def create_cloze_question(name, questiontext, correct_answers, wrong_answers, feedback, tags): question = ET.Element('question', attrib={'type': 'cloze'}) name_elem = ET.SubElement(question, 'name') text_elem = ET.SubElement(name_elem, 'text') text_elem.text = name questiontext_elem = ET.SubElement(question, 'questiontext', attrib={'format': 'html'}) text_elem = ET.SubElement(questiontext_elem, 'text') # Erstelle die Tabelle für die Lücken cloze_text = "" cloze_text += "" cloze_text += f"" cloze_text += "" cloze_text += "" cloze_text += f"" cloze_text += "" # Prüfe, ob der Bruch gekürzt werden kann if gcd(correct_answers[0], correct_answers[1]) > 1: common_divisor = gcd(correct_answers[0], correct_answers[1]) reduced_numerator = correct_answers[0] // common_divisor reduced_denominator = correct_answers[1] // common_divisor cloze_text += "" cloze_text += f"" cloze_text += "" cloze_text += "" cloze_text += f"" cloze_text += "" cloze_text += "
Zähler: {{1:SHORTANSWER:={correct_answers[0]}~%0%{wrong_answers[0][0]}#{wrong_answers[0][1]}}}
Nenner: {{1:SHORTANSWER:={correct_answers[1]}~%0%{wrong_answers[1][0]}#{wrong_answers[1][1]}}}
Gekürzter Zähler: {{1:SHORTANSWER:={reduced_numerator}~%0%{wrong_answers[2][0]}#{wrong_answers[2][1]}}}
Gekürzter Nenner: {{1:SHORTANSWER:={reduced_denominator}~%0%{wrong_answers[3][0]}#{wrong_answers[3][1]}}}
" # Füge die Frage hinzu questiontext = questiontext text_elem.text = questiontext + " " + cloze_text generalfeedback_elem = ET.SubElement(question, 'generalfeedback', attrib={'format': 'html'}) text_elem = ET.SubElement(generalfeedback_elem, 'text') # Musterlösung im LaTeX-Format if gcd(correct_answers[0], correct_answers[1]) > 1: solution = f"Die Musterlösung ist: \\( \\Large \\displaystyle \\frac{{{reduced_numerator}}}{{{reduced_denominator}}} \\)." else: solution = f"Die Musterlösung ist: \\( \\Large \\displaystyle \\frac{{{correct_answers[0]}}}{{{correct_answers[1]}}} \\)." text_elem.text = solution defaultgrade_elem = ET.SubElement(question, 'defaultgrade') defaultgrade_elem.text = '1.0000000' penalty_elem = ET.SubElement(question, 'penalty') penalty_elem.text = '0.3333333' hidden_elem = ET.SubElement(question, 'hidden') hidden_elem.text = '0' # Tags hinzufügen tags_elem = ET.SubElement(question, 'tags') for tag in tags: tag_elem = ET.SubElement(tags_elem, 'tag') text_elem = ET.SubElement(tag_elem, 'text') text_elem.text = tag return question def create_quiz(questions): quiz = ET.Element('quiz') for q in questions: quiz.append(q) return quiz def save_to_file(xml_element, filename): tree = ET.ElementTree(xml_element) with open(filename, 'wb') as f: tree.write(f, encoding='utf-8', xml_declaration=True) questions = [] # Generiere n Aufgaben zur Addition und Subtraktion von gleichnamigen Brüchen n = 20 for i in range(1, (n+1)): # Zähler und Nenner generieren denominator = random.randint(2, 20) # Nenner zwischen 2 und 20 numerator1 = random.randint(1, 200) # Zähler zwischen 1 und 200 numerator2 = random.randint(1, 200) # Zähler zwischen 1 und 200 operation = random.choice(["+", "-"]) # Zufällige Operation if operation == "+": result_numerator = numerator1 + numerator2 else: result_numerator = numerator1 - numerator2 # Prüfe, ob der Bruch gekürzt werden kann needs_reduction = gcd(result_numerator, denominator) > 1 # Frage im LaTeX-Format questiontext = f"

Berechne und kürze das Ergebnis, wenn möglich:

\( \\Large \\displaystyle \\frac{{{numerator1}}}{{{denominator}}} {operation} \\frac{{{numerator2}}}{{{denominator}}} = \)

" # Antworten correct_answers = [result_numerator, denominator] if needs_reduction: common_divisor = gcd(result_numerator, denominator) reduced_numerator = result_numerator // common_divisor reduced_denominator = denominator // common_divisor correct_answers.extend([reduced_numerator, reduced_denominator]) # Füge gekürzte Antworten hinzu wrong_answers = [ (result_numerator + random.randint(1, 5), "Dieser Zähler ist zu hoch."), # Falscher Zähler (result_numerator - random.randint(1, 5), "Dieser Zähler ist zu niedrig."), # Falscher Zähler (reduced_numerator + random.randint(1, 3), "Dieser gekürzte Zähler ist nicht korrekt."), # Falscher gekürzter Zähler (reduced_denominator - random.randint(1, 3), "Dieser gekürzte Nenner ist nicht korrekt.") # Falscher gekürzter Nenner ] else: wrong_answers = [ (result_numerator + random.randint(1, 5), "Dieser Zähler ist zu hoch."), # Falscher Zähler (result_numerator - random.randint(1, 5), "Dieser Zähler ist zu niedrig.") # Falscher Zähler ] feedback = "Richtig! Die Lösung ist korrekt." # Frage erstellen und hinzufügen questions.append(create_cloze_question( f"Addition/Subtraktion von Brüchen {i}", questiontext, correct_answers, wrong_answers, feedback, ["Mathematik", "Brüche", "Addition", "Subtraktion"] )) # Erstelle das Quiz quiz = create_quiz(questions) # Speichere die XML-Datei save_to_file(quiz, 'cloze_fraction_addition_subtraction_quiz.xml') print("Moodle-XML-Datei 'cloze_fraction_addition_subtraction_quiz.xml' erfolgreich erstellt.")