// Numbas version: exam_results_page_options
{"name": "OT1 - Komplexe Zahlen Multiple choice", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "OT1 - Komplexe Zahlen Multiple choice", "tags": [], "metadata": {"description": "<p>Some simple multiple choice questions on the field of complex numbers.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Multiple-Choice-Fragen &uuml;ber die komplexen Zahlen.</p>", "advice": "<p>Das meiste sollte anhand der erwarteten Antworten selbsterkl&auml;rend sein. Sonst siehe die Online-Aufgabe, in der diese Fragen auch vorkommen.</p>\n<p></p>", "rulesets": {}, "extensions": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Die beiden komplexen Zahlen $z$ mit $z^2 = i$ sind</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$1$ und $-1$", "$i$ und $-i$", "$\\frac{1+i}{\\sqrt{2}}$ und $-\\frac{1+i}{\\sqrt{2}}$", "$i^2$ und $-i^2$", "Es gibt keine solchen komplexen Zahlen."], "matrix": [0, 0, "2", 0, 0], "distractors": ["", "", "", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>F&uuml;r eine komplexe Zahl $z=a+bi$ ist die Eigenschaft $z^2\\in\\mathbb R$ &auml;quivalent zu</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": true, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["$a=0$ oder $b=0$", "$a=0$", "$b=0$", "$a=b$", "$a+b=0$"], "matrix": ["2", 0, 0, 0, 0], "distractors": ["", "", "", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>In der komplexen Zahlenebene betrachtet, ist die Abbildung $a+bi \\mapsto a-bi$ eine ...</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Drehung um $90^\\circ$ gegen den Uhrzeigersinn.", "Drehung um $90^\\circ$ im Uhrzeigersinn.", "Spiegelung an der senkrechten Koordinatenachse.", "Punktspiegelung im Ursprung.", "Spiegelung an der waagerechten Koordinatenachse."], "matrix": ["0", 0, 0, "0", "2"], "distractors": ["", "", "", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>In der komplexen Zahlenebene betrachtet, ist Multiplikation mit $-1$ eine ...</p>", "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Drehung um $90^\\circ$ gegen den Uhrzeigersinn.", "Drehung um $90^\\circ$ im Uhrzeigersinn.", "Spiegelung an der senkrechten Koordinatenachse.", "Punktspiegelung im Ursprung.", "Spiegelung an der waagerechten Koordinatenachse."], "matrix": ["0", 0, 0, "2", 0], "distractors": ["", "", "", "", ""]}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>In der komplexen Zahlenebene betrachtet, ist Multiplikation mit $i$ eine ...</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Wenn Sie hierf&uuml;r (und/oder die Teile e), f)) noch Anschauungsmaterial ben&ouml;tigen, k&ouml;nnen Sie <a href=\"https://math.ug/applets/komplexe-zahlen.html\">auf dieser Webseite</a> mit der komplexen Zahlenebene \"herumspielen\".</p>"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["Drehung um $90^\\circ$ gegen den Uhrzeigersinn.", "Drehung um $90^\\circ$ im Uhrzeigersinn.", "Spiegelung an der senkrechten Koordinatenachse.", "Punktspiegelung im Ursprung.", "Spiegelung an der waagerechten Koordinatenachse."], "matrix": ["2", 0, 0, 0, 0], "distractors": ["", "", "", "", ""]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ulrich G\u00f6rtz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7603/"}]}]}], "contributors": [{"name": "Ulrich G\u00f6rtz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7603/"}]}