// Numbas version: exam_results_page_options
{"name": "Circunferencia - simple reconocimiento del radio y centro", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "statement": "<p></p>\n<p>Dada la ecuaci&oacute;n de la circunferencia $\\simplify{(x-{a})^2+(y-{b})^2={rs}}$.</p>\n<p></p>", "variable_groups": [], "ungrouped_variables": ["a", "b", "r", "rs"], "parts": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "prompt": "<p>Completa los espacios:</p>\n<p>La ecuaci&oacute;n $\\simplify{(x-{a})^2+(y-{b})^2={rs}}$ es la ecuaci&oacute;n de la circunferencia con radio&nbsp;[[0]]&nbsp; y centro el punto $\\large($ [[1]],&nbsp;[[2]]$\\large)$.&nbsp;</p>", "showCorrectAnswer": true, "sortAnswers": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{r}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{r}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{a}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{a}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{b}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{b}", "variableReplacements": [], "mustBeReduced": false}], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "variableReplacements": [], "scripts": {}}, {"variableReplacementStrategy": "originalfirst", "marks": 0, "unitTests": [], "prompt": "<p>La informaci&oacute;n anterior nos permite encontrar f&aacute;cilmente cuatro puntos de la circunferencia:</p>\n<ul>\n<li>La parte superior de la circunferencia est&aacute; en el punto. $\\large($[[0]],&nbsp;[[1]]$\\large)$</li>\n<li>La parte inferior de la circunferencia est&aacute; en el punto $\\large($[[2]],&nbsp;[[3]]$\\large)$</li>\n<li>El extremo izquierdo de la circunferencia est&aacute; en el punto $\\large($[[4]],&nbsp;[[5]]$\\large)$</li>\n<li>El extremo derecho de la circunferencia est&aacute; en el punto $\\large($[[6]],&nbsp;[[7]]$\\large)$</li>\n</ul>", "showCorrectAnswer": true, "sortAnswers": false, "gaps": [{"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{a}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{a}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{b+r}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{b+r}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{a}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{a}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{b-r}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{b-r}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{a-r}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{a-r}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{b}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{b}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{a+r}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{a+r}", "variableReplacements": [], "mustBeReduced": false}, {"variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "unitTests": [], "correctAnswerStyle": "plain", "showCorrectAnswer": true, "correctAnswerFraction": false, "mustBeReducedPC": 0, "allowFractions": false, "notationStyles": ["plain", "en", "si-en"], "extendBaseMarkingAlgorithm": true, "type": "numberentry", "maxValue": "{b}", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "minValue": "{b}", "variableReplacements": [], "mustBeReduced": false}], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showFeedbackIcon": true, "customMarkingAlgorithm": "", "variableReplacements": [], "scripts": {}}], "functions": {}, "preamble": {"css": "", "js": ""}, "metadata": {"licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International", "description": "<p>Reconociendo que $ (x-a)^2 + (y-b)^2 = r^2 $ es un c&iacute;rculo de radio $r$ con el centro $(a, b) $</p>"}, "advice": "<p>La ecuaci&oacute;n de la circunferencia con el radio $ r $ y el centro $ (a, b) $ es $ (x-a) ^ 2 + (y-b) ^ 2 = r ^ 2 $.</p>\n<ul>\n<li>Esto significa que la parte superior de la c&iacute;rcunferencia estar&aacute; en el punto $P (a, b + r) $.</li>\n<li>Esto significa que la parte inferior de la c&iacute;rcunferencia estar&aacute; en el punto $ Q(a, b-r) $.</li>\n<li>Esto significa que el extremo izquierdo de la c&iacute;rcunferencia estar&aacute; en el punto $ R(a-r, b) $.</li>\n<li>Esto significa que el extremo derecho de la c&iacute;rcunferencia estar&aacute; en el punto $ S(a + r, b) $.</li>\n</ul>\n<p></p>\n<p></p>\n<p></p>", "type": "question", "variables": {"rs": {"group": "Ungrouped variables", "description": "", "definition": "r^2", "name": "rs", "templateType": "anything"}, "r": {"group": "Ungrouped variables", "description": "", "definition": "random(1..12)", "name": "r", "templateType": "anything"}, "a": {"group": "Ungrouped variables", "description": "", "definition": "random(-12..12)", "name": "a", "templateType": "anything"}, "b": {"group": "Ungrouped variables", "description": "", "definition": "random(-12..12 except 0)", "name": "b", "templateType": "anything"}}, "rulesets": {}, "extensions": [], "name": "Circunferencia - simple reconocimiento del radio y centro", "variablesTest": {"condition": "", "maxRuns": 100}, "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}, {"name": "Xiaodan Leng", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2146/"}, {"name": "Luis Hernandez", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2870/"}]}