Archimedische Winkeldreiteilung
", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "Gegeben ist der blaue Winkel $\\measuredangle EAB$ (bitte etwas Geduld beim Laden des Applets haben):
\n{app}
\n", "advice": "
Lösung:
\n{app2}
\n(Genaues Arbeiten ist erforderlich)
\n", "rulesets": {}, "extensions": ["geogebra"], "variables": {"defs": {"name": "defs", "group": "Ungrouped variables", "definition": "[['E',pe],['za',angle*pi/180]]", "description": "", "templateType": "anything"}, "pe": {"name": "pe", "group": "Ungrouped variables", "definition": "vector(radius,0)", "description": "", "templateType": "anything"}, "angle": {"name": "angle", "group": "Ungrouped variables", "definition": "3*random(15..25)", "description": "", "templateType": "anything"}, "app": {"name": "app", "group": "Ungrouped variables", "definition": "geogebra_applet('https://www.geogebra.org/m/ms9swrhw',defs)", "description": "Angabe
", "templateType": "anything"}, "target_position": {"name": "target_position", "group": "Ungrouped variables", "definition": "vector(0,1)", "description": "", "templateType": "anything"}, "radius": {"name": "radius", "group": "Ungrouped variables", "definition": "random(6..9)/2", "description": "", "templateType": "anything"}, "app2": {"name": "app2", "group": "Ungrouped variables", "definition": "geogebra_applet('https://www.geogebra.org/m/f5f4tnr8',defs2)", "description": "Lösung
", "templateType": "anything"}, "defs2": {"name": "defs2", "group": "Ungrouped variables", "definition": "[['E',pe],['za',angle*pi/180],['L',radius]]", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["defs", "pe", "angle", "app", "target_position", "radius", "app2", "defs2"], "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": "Ermitteln Sie gemäß der Konstruktion des Archimedes den gedrittelten Winkel. Sie können den Punkt $D$ dazu verschrieben und mit Hilfe des Schiebereglers die auf dem Lineal abgetragene Länge $|\\overline{DC}|$ variieren.
\n[[0]]
", "gaps": [{"type": "extension", "useCustomName": false, "customName": "", "marks": 1, "scripts": {"constructor": {"script": "this.marks=3", "order": "after"}}, "customMarkingAlgorithm": "g_pos (The position of the object A, as a vector):\n value(app,\"G\")\n\nc_pos (The position of the object A, as a vector):\n value(app,\"C\")\n\nzb:\n value(app,\"zbv\")\n\nza:\n value(app,\"zav\")\n\nmark:\n if(value(app,\"L\")=radius,add_credit(1/6,\"Markierung am Lineal korrekt.\"),negative_feedback(\"Markierung am Lineal falsch.\")); \n if(precround(g_pos,1)=precround(c_pos,1),add_credit(2/6,\"Punkt C korrekt platziert.\"),negative_feedback(\"Punkt C ungenau/nicht richtig platiert.\"));\n if(abs(precround(zb*3,1)-precround(za,1))<0.15,add_credit(3/6,\"Winkel korrekt ermittelt.\"),negative_feedback(\"Winkel ungenau/nicht korrekt ermittelt.\"))\n \ninterpreted_answer:\n zb", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null}], "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/"}]}