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{"name": "Aprendamos a determinar lados de una figura real por medio de un modelo a escala", "extensions": ["geogebra"], "custom_part_types": [], "resources": [["question-resources/366201593_la_piramide_de_keops_VBCohhY.jpg", "/srv/numbas/media/question-resources/366201593_la_piramide_de_keops_VBCohhY.jpg"]], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Aprendamos a determinar lados de una figura real por medio de un modelo a escala", "tags": [], "metadata": {"description": "", "licence": "None specified"}, "statement": "<h2 style=\"text-align: center;\">Aprendamos a determinar lados de una figura real por medio de un modelo a escala</h2>\n<h2 style=\"text-align: center;\">SITUACI&Oacute;N 1</h2>\n<p>En la antig&uuml;edad el matem&aacute;tico Thales de Mileto se le solicito determinar la altura de la pir&aacute;mide de Keops, para ello el empleo la t&eacute;cnica de modelar la situaci&oacute;n de la altura de la pir&aacute;mide por medio de un bast&oacute;n y las sombras que proyectaba el bast&oacute;n y la pir&aacute;mide, considerando que los rayos del sol se proyectaban en dicho lugar de forma paralela.</p>\n<p><img src=\"resources/question-resources/366201593_la_piramide_de_keops_VBCohhY.jpg\" width=\"563\" height=\"373\" style=\"display: block; margin-left: auto; margin-right: auto;\"/></p>\n<p>Lo anterior, lo podemos modelar por medio de Geogebra, de la siguiente manera:</p>\n<p align=\"center\" style=\"text-align: center;\">{geogebra_applet('https://www.geogebra.org/calculator/ckkmwnwm')}</p>\n<p></p>", "advice": "", "rulesets": {}, "extensions": ["geogebra"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": true, "customName": "An\u00e1lisis del c\u00e1lculo de la altura de Keops", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>Para determinar la altura primero debemos construir las siguiente proporci&oacute;n, por medio de las siguientes razones:</p>\n<p>Observaci&oacute;n: La inc&oacute;gnita a buscar ser&aacute; $x$ en el problema.</p>\n<p style=\"text-align: center;\">$\\frac{\\text{Sombra de Keops}}{\\text{Sombra del Bast&oacute;n}}$$=$$\\frac{\\text{Altura de Keops}}{\\text{Altura del Bast&oacute;n}}$</p>\n<p style=\"text-align: left;\">[[0]]&nbsp; &nbsp; [[3]]</p>\n<p style=\"text-align: left;\">------------ $=$ ------------</p>\n<p style=\"text-align: left;\">[[2]]&nbsp; &nbsp; [[1]]</p>\n<p style=\"text-align: left;\">Para despejar $x$ podemos ver que la Altura del Bast&oacute;n divide a $x$, entonces pasar&iacute;a a multiplicar la longitud de la sombra de Keops, obteniendo la expresi&oacute;n:</p>\n<p style=\"text-align: left;\">[[0]] $\\cdot$ [[1]]&nbsp; &nbsp;</p>\n<p style=\"text-align: left;\">---------------------------- $=$ &nbsp;[[3]]</p>\n<p style=\"text-align: left;\">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;[[2]]</p>\n<p style=\"text-align: left;\"></p>\n<p style=\"text-align: left;\">Obteniendo que la altura de Keops es igual a: [[4]] metros</p>", "gaps": [{"type": "numberentry", "useCustomName": true, "customName": "Sombra Keops", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "112", "maxValue": "713.96", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "numberentry", "useCustomName": true, "customName": "Altura Bast\u00f3n", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "1.5", "maxValue": "1.5", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "numberentry", "useCustomName": true, "customName": "Sombra Bast\u00f3n", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "1.32", "maxValue": "8.43", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}, {"type": "jme", "useCustomName": true, "customName": "x", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "x", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "numberentry", "useCustomName": true, "customName": "Altura Keops", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "minValue": "136", "maxValue": "138", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["si-fr", "eu", "plain-eu"], "correctAnswerStyle": "si-fr"}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11803/"}]}]}], "contributors": [{"name": "Emilio Gonz\u00e1lez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/11803/"}]}