// Numbas version: exam_results_page_options
{"name": "Babylonische Fl\u00e4chenberechnung", "extensions": ["geogebra"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Babylonische Fl\u00e4chenberechnung", "tags": [], "metadata": {"description": "<p>Rechnen mit der N&auml;herungsformel und exakt.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Gegeben ist das folgende Viereck (bitte etwas Geduld beim Laden des Applets haben):</p>\n<p style=\"text-align: center;\">{geogebra_applet('https://www.geogebra.org/m/b7qqv88a',defs)}</p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 52px; width: 0px; top: 39px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 37px; width: 50px; top: 24px; height: 20px; font-size: 10px; color: black;\"></span></p>\n<p><span style=\"margin: 0px auto; border: 2px dotted #000000; position: absolute; z-index: 2147483647; visibility: hidden; left: 430px; width: 0px; top: 65px; height: 0px;\"></span><span style=\"z-index: 2147483647; position: absolute; visibility: hidden; left: 415px; width: 50px; top: 50px; height: 20px; font-size: 10px; color: black;\"></span></p>", "advice": "<p>a) Die N&auml;herungsformel f&uuml;r allgemeine Vierecke lautet: $\\frac{(a+c)}{2}\\cdot\\frac{(b+d)}{2}$, eingesetzt:</p>\n<p>$\\frac{(\\var{a}+\\var{c})}{2}\\cdot\\frac{(\\var{b}+\\var{d})}{2}\\approx\\var{A_approx}$</p>\n<p>b) Die Fl&auml;chenformel f&uuml;r ein rechtwinkliges Trapez lautet:&nbsp;$c\\cdot\\frac{(b+d)}{2}$, eingesetzt:</p>\n<p>$\\var{c}\\cdot\\frac{(\\var{b}+\\var{d})}{2}\\approx\\var{A_precise}$</p>", "rulesets": {}, "extensions": ["geogebra"], "variables": {"pa": {"name": "pa", "group": "Ungrouped variables", "definition": "vector(0,d)", "description": "", "templateType": "anything"}, "pb": {"name": "pb", "group": "Ungrouped variables", "definition": "vector(5,b)", "description": "", "templateType": "anything"}, "defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[['A',pa],['B',pb]]", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "5", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(9..15)/2", "description": "<p>Parameter 1</p>", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(8..16)/4", "description": "<p>Parameter 2</p>", "templateType": "anything"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "precround((c^2+(d-b)^2)^0.5,3)", "description": "", "templateType": "anything"}, "A_approx": {"name": "A_approx", "group": "Ungrouped variables", "definition": "precround((a+c)/2*(b+d)/2,3)", "description": "", "templateType": "anything"}, "A_precise": {"name": "A_precise", "group": "Ungrouped variables", "definition": "precround(c*(b+d)/2,3)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["pa", "pb", "defs", "c", "d", "b", "a", "A_approx", "A_precise"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "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>Ermitteln Sie den Fl&auml;cheninhalt des Vierecks mit der babylonischen N&auml;herungsformel f&uuml;r allgemeine Vierecke!</p>\n<p>A=[[0]]</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A_approx-0.0005", "maxValue": "A_approx+0.0005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}, {"type": "gapfill", "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>Ermitteln Sie den Fl&auml;cheninhalt&nbsp;mit der f&uuml;r dieses Viereck&nbsp;exakten Formel.</p>\n<p>A=[[0]]</p>\n<p><em>Bitte Beistrich (,) als Dezimaltrennzeichen verwenden!</em></p>", "gaps": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": "4", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "A_precise-0.0005", "maxValue": "A_precise+0.0005", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "3", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["eu", "plain-eu"], "correctAnswerStyle": "plain-eu"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}]}], "contributors": [{"name": "Andreas Vohns", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3622/"}]}