File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/6P11-2-wgmToJVU.js.map
{"version":3,"file":"6P11-2-wgmToJVU.js","sources":["../../src/exercices/6e/6P11-2.js"],"sourcesContent":["import { tableau } from '../../lib/2d/tableau.js'\nimport { choice, combinaisonListes } from '../../lib/outils/arrayOutils'\nimport { sp } from '../../lib/outils/outilString.js'\nimport { prenom } from '../../lib/outils/Personne'\nimport { texMasse, texPrix } from '../../lib/format/style'\nimport { stringNombre, texNombre } from '../../lib/outils/texNombre'\nimport { fixeBordures, mathalea2d } from '../../modules/2dGeneralites.js'\nimport { context } from '../../modules/context.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport { Decimal } from 'decimal.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport Exercice from '../deprecatedExercice.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const titre = 'Solve proportionality problems with linearity (with or without a table)'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\n\nexport const dateDeModifImportante = '30/04/2023' // EE : Rajout de 2 paramètres\n\n/**\n * Résoudre un problème de proportionnalité avec linéarité via tableau\n * @MireilleGain, 30 mai 2021\n */\nexport const uuid = '65288'\nexport const ref = '6P11-2'\nexport default function ProportionnaliteParLineariteTableau () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.nbQuestions = 5\n this.nbCols = 1 // Uniquement pour la sortie LaTeX\n this.nbColsCorr = 1 // Uniquement pour la sortie LaTeX\n this.sup = 4 // Niveau de difficulté\n this.sup2 = false\n this.sup3 = false\n this.tailleDiaporama = 3 // Pour les exercices chronométrés. 50 par défaut pour les exercices avec du texte\n this.video = '' // Id YouTube ou url\n\n this.nouvelleVersion = function () {\n this.consigne = `We consider that ${this.nbQuestions > 1 ? 'the' : 'there'} situation${this.nbQuestions > 1 ? 's' : ''} following${this.nbQuestions > 1 ? 's' : ''}`\n this.consigne += this.sup3 ? ', except in obvious cases,' : ''\n this.consigne += ` ${this.nbQuestions > 1 ? 'are' : 'is a'} situation${this.nbQuestions > 1 ? 's' : ''} of proportionality.`\n this.consigne += this.sup2 ? ` ${context.isHtml ? '<br>' : '\\\\\\\\\\\\not'}We ask to solve ${this.nbQuestions > 1 ? 'the' : 'there'} using a table.` : ''\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n this.autoCorrection = []\n\n let typeDeQuestionsDisponibles\n if (this.sup === 1) {\n typeDeQuestionsDisponibles = this.sup3 ? [1, 1, 1, 1, 4] : [1]\n } else if (this.sup === 2) {\n typeDeQuestionsDisponibles = this.sup3 ? [2, 2, 2, 2, 4] : [2]\n } else if (this.sup === 3) {\n typeDeQuestionsDisponibles = this.sup3 ? [3, 3, 3, 3, 4] : [3]\n } else if (this.sup === 4) {\n typeDeQuestionsDisponibles = this.sup3 ? [1, 2, 3, 2, 4] : [1, 2, 3]\n }\n\n const listeTypeQuestions = combinaisonListes(typeDeQuestionsDisponibles, this.nbQuestions) // Tous les types de questions sont posés mais l'ordre diffère à chaque 'cycle'\n\n let np, cm, ng, o, pp, pg, pu, tp, index, a\n const fruits = [\n ['peaches', new Decimal('0.24')],\n ['nut', new Decimal('0.29')],\n ['cherries', new Decimal('0.31')],\n ['apples', new Decimal('0.12')],\n ['raspberries', new Decimal('0.75')],\n ['strawberries', new Decimal('0.37')],\n ['lemons', new Decimal('0.08')],\n ['bananas', new Decimal('0.09')]\n ]\n\n const objets = [\n ['marbles', new Decimal('0.1')],\n ['candy', new Decimal('0.1')],\n ['candles', new Decimal('1.2')],\n ['pencils', new Decimal('0.5')],\n ['cakes', new Decimal('1.3')],\n ['erasers', new Decimal('0.4')],\n ['stickers', new Decimal('0.2')],\n ['notebooks', new Decimal('1.4')]\n ]\n\n for (let i = 0, texte, texteCorr, texteApres, monTableau, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n a = choice([1, 2, 3])\n // Main loop where i+1 corresponds to the question number\n\n switch (listeTypeQuestions[i]) { // Suivant le type de question, le contenu sera différent\n case 1: // multiplication\n if (a === 1) {\n index = randint(0, 7)\n np = randint(1, 10)\n cm = randint(2, 7)\n ng = np * cm\n pp = objets[index][1].mul(np * randint(8, 9)).div(10)\n pg = pp.mul(cm)\n o = objets[index][0]\n texte = `${prenom()} buys $${np}$ ${np === 1 ? o.slice(0, -1) : o} for $${texPrix(pp)}$ €. How much would you have to pay to buy $${ng}$?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: `Number of ${o}s` }, { texte: stringNombre(np, 0), math: true }, {\n texte: stringNombre(ng, 0),\n math: true\n }],\n ligne2: [{ texte: 'Price (in euros)' }, {\n texte: `${stringNombre(pp, 2, true, false)}`,\n math: true\n }, {\n texte: `${stringNombre(pg, 2, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }],\n flecheHaut: [[1, 2, {\n texte: '×' + stringNombre(cm, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }]]\n })\n setReponse(this, i, pg)\n texteApres = '€'\n } else if (a === 2) {\n index = randint(0, 7)\n np = randint(1, 10)\n cm = randint(2, 7)\n ng = np * cm\n pp = fruits[index][1].mul(np)\n pg = pp.mul(cm)\n o = choice([fruits[index][0]])\n texte = `${prenom()} buys $${texMasse(pp)}$ kg of ${o} for $${texPrix(np)}$ €. How much ${o} could be purchased with $${ng}$ €?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: `${o} prices (in euros)` }, {\n texte: stringNombre(np, 0),\n math: true\n }, { texte: stringNombre(ng, 0), math: true }],\n ligne2: [{ texte: `Mass of ${o} (in kg)` }, {\n texte: `${stringNombre(pp, 3, true, false)}`,\n math: true\n }, {\n texte: `${stringNombre(pg, 3, true, false)}`,\n math: true,\n color: '#f15929',\n gras: true\n }],\n flecheHaut: [[1, 2, {\n texte: '×' + stringNombre(cm, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }]]\n })\n setReponse(this, i, pg)\n texteApres = 'kg'\n } else {\n index = randint(0, 7)\n np = randint(2, 10)\n cm = randint(2, 7)\n ng = np * cm\n pp = new Decimal(randint(11, 48)).mul(np).div(10)\n pg = pp.mul(cm)\n texte = `$${np}$ objects occupy a volume of $${texNombre(pp, 1, false)}$ cm³. What volume would be occupied by $${ng}$ of these objects?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: 'Number of objects' }, { texte: stringNombre(np, 0), math: true }, {\n texte: stringNombre(ng, 0),\n math: true\n }],\n ligne2: [{ texte: 'Volume of objects (in cm³)' }, {\n texte: `${stringNombre(pp, 1)}`,\n math: true\n }, { texte: `${stringNombre(pg, 1)}`, math: true, gras: true, color: '#f15929' }],\n flecheHaut: [[1, 2, {\n texte: '×' + stringNombre(cm, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }]]\n })\n setReponse(this, i, pg)\n texteApres = 'cm³'\n }\n break\n\n case 2: // division\n if (a === 1) {\n index = randint(0, 7)\n np = randint(1, 10)\n cm = randint(2, 7)\n ng = np * cm\n pp = new Decimal(randint(8, 9)).mul(np).div(10)\n pg = pp.mul(cm)\n o = objets[index][0]\n texte = `${prenom()} buys $${ng}$ ${ng === 1 ? o.slice(0, -1) : o} for $${texPrix(pg)}$ €. How much would you have to pay to buy $${np}$?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: `Number of ${o}s` }, { texte: stringNombre(ng, 0) }, { texte: stringNombre(np, 0) }],\n ligne2: [{ texte: 'Price (in euros)' }, {\n texte: `${stringNombre(pg, 2, true, false)}`,\n math: true\n }, {\n texte: `${stringNombre(pp, 2, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }],\n flecheHaut: [[1, 2, {\n texte: '÷' + stringNombre(cm, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }]]\n })\n setReponse(this, i, pp)\n texteApres = '€'\n } else if (a === 2) {\n np = randint(1, 10)\n cm = randint(2, 7)\n ng = np * cm\n pp = np * randint(40, 60)\n pg = cm * pp\n texte = `${prenom()} paints an area of $${stringNombre(pg, 0)}$ m² in $${ng}$ days. What surface would be painted in $${np}$ ${np === 1 ? 'day' : 'days'}?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: 'Duration (in days)' }, { texte: stringNombre(ng, 0), math: true }, {\n texte: stringNombre(np, 0),\n math: true\n }],\n ligne2: [{ texte: 'Painted surface (in m²)' }, {\n texte: `${stringNombre(pg, 0)}`,\n math: true\n }, { texte: `${stringNombre(pp, 0)}`, math: true, gras: true, color: '#f15929' }],\n flecheHaut: [[1, 2, {\n texte: '÷' + stringNombre(cm, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }]]\n })\n setReponse(this, i, pp)\n texteApres = 'm²'\n } else {\n index = randint(0, 7)\n np = randint(1, 10)\n cm = randint(2, 7)\n ng = np * cm\n pp = fruits[index][1].mul(np)\n pg = pp.mul(cm)\n o = fruits[index][0]\n texte = `${prenom()} buys $${texMasse(pg)}$ kg of ${o} for $${texPrix(ng)}$ €. How much mass could be purchased with $${np}$ €?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: `${o} prices (in euros)` }, {\n texte: stringNombre(ng, 0),\n math: true\n }, { texte: stringNombre(np, 0), math: true }],\n ligne2: [{ texte: `Mass of ${o} (in kg)` }, {\n texte: `${stringNombre(pg, 3, true, false)}`,\n math: true\n }, {\n texte: `${stringNombre(pp, 3, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }],\n flecheHaut: [[1, 2, {\n texte: '÷' + stringNombre(cm, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }]]\n })\n setReponse(this, i, pp)\n texteApres = 'kg'\n }\n break\n\n case 3: // passage par l'unité\n if (a === 1) {\n index = randint(0, 7)\n pu = objets[index][1].mul(randint(1, 19)).div(10)\n np = randint(2, 10)\n pp = pu.mul(np)\n ng = randint(2, 10, [np, 2 * np, 3 * np, 4 * np, 5 * np, np / 2, np / 3, np / 4, np / 5])\n pg = pu.mul(ng)\n o = objets[index][0]\n texte = `${prenom()} buys $${np}$ ${np === 1 ? o.slice(0, -1) : o} for $${texPrix(pp)}$ €. How much would you have to pay to buy $${ng}$?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: `Number of ${o}s` }, { texte: stringNombre(np, 0), math: true }, {\n texte: '1',\n math: true\n }, { texte: stringNombre(ng, 0), math: true }],\n ligne2: [{ texte: 'Price (in euros)' }, {\n texte: `${stringNombre(pp, 2, true, false)}`,\n math: true\n }, {\n texte: `${stringNombre(pu, 2, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }, {\n texte: `${stringNombre(pg, 2, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }],\n flecheHaut: [[1, 2, {\n texte: '÷' + stringNombre(np, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }], [2, 3, { texte: '×' + stringNombre(ng, 0), math: true, gras: true, color: '#f15929' }]]\n })\n setReponse(this, i, pg)\n texteApres = '€'\n } else if (a === 2) {\n pu = randint(40, 60)\n np = randint(2, 10)\n pp = pu * np\n ng = randint(2, 10, [np, 2 * np, 3 * np, 4 * np, 5 * np, np / 2, np / 3, np / 4, np / 5])\n pg = pu * ng\n texte = `${prenom()} paints an area of $${stringNombre(pp, 0)}$ m² in $${np}$ days. What surface would be painted in $${ng}$ days?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: 'Duration (in days)' }, { texte: stringNombre(np, 0), math: true }, {\n texte: '1',\n math: true\n }, { texte: stringNombre(ng, 0), math: true }],\n ligne2: [{ texte: 'Painted surface (in m²)' }, {\n texte: stringNombre(pp, 0),\n math: true\n }, { texte: stringNombre(pu, 0), math: true, gras: true, color: '#f15929' }, {\n texte: stringNombre(pg, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }],\n flecheHaut: [[1, 2, {\n texte: '÷' + stringNombre(np, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }], [2, 3, { texte: '×' + stringNombre(ng, 0), math: true, gras: true, color: '#f15929' }]]\n })\n setReponse(this, i, pg)\n texteApres = 'm²'\n } else {\n index = randint(0, 7)\n pu = objets[index][1].mul(randint(8, 12)).div(10)\n np = randint(2, 10)\n pp = pu.mul(np)\n ng = randint(2, 10, [np, 2 * np, 3 * np, 4 * np, 5 * np, np / 2, np / 3, np / 4, np / 5])\n pg = pu.mul(ng)\n o = fruits[index][0]\n texte = `${prenom()} buys $${texMasse(pp)}$ kg of ${o} for $${texPrix(np)}$ €. How much ${o} could be purchased with $${ng}$ €?`\n monTableau = tableau({\n largeurTitre: 10,\n ligne1: [{ texte: `${o} prices (in euros)` }, { texte: stringNombre(np, 0), math: true }, {\n texte: '1',\n math: true\n }, { texte: stringNombre(ng, 0), math: true }],\n ligne2: [{ texte: `Mass of ${o} (in kg)` }, {\n texte: `${stringNombre(pp, 3, true, false)}`,\n math: true\n }, {\n texte: `${stringNombre(pu, 3, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }, {\n texte: `${stringNombre(pg, 3, true, false)}`,\n math: true,\n gras: true,\n color: '#f15929'\n }],\n flecheHaut: [[1, 2, {\n texte: '÷' + stringNombre(np, 0),\n math: true,\n gras: true,\n color: '#f15929'\n }], [2, 3, { texte: '×' + stringNombre(ng, 0), math: true, gras: true, color: '#f15929' }]]\n })\n setReponse(this, i, pg)\n texteApres = 'kg'\n }\n break\n\n case 4: // Non proportionnalité\n if (a === 1) {\n tp = new Decimal(randint(120, 165)).div(100)\n np = randint(10, 14)\n cm = randint(2, 4)\n ng = np * cm\n texte = `${prenom()} measures $${texNombre(tp, 2, true, false)}$ m to $${np}$ years. How big will it be in $${ng}$ years?`\n texteCorr = 'We cannot know because size is not proportional to age.'\n texteApres = 'm'\n } else if (a === 2) {\n tp = randint(30, 45)\n np = randint(10, 13)\n cm = randint(2, 5)\n ng = np * cm\n texte = `${prenom()} weighs $${texMasse(tp)}$ kg at $${np}$ years. What will its weight be at $${ng}$ years old?`\n texteCorr = 'We cannot know because weight (more precisely mass) is not proportional to age.'\n texteApres = 'kg'\n } else if (a === 3) {\n tp = randint(35, 39)\n np = randint(10, 13)\n cm = randint(2, 5)\n ng = np * cm\n texte = `${prenom()} rises from $${tp}$ to $${np}$ years. What will his shoe size be at $${ng}$ years old?`\n texteCorr = 'We cannot know because the size is not proportional to age.'\n texteApres = ''\n }\n setReponse(this, i, 'No')\n break\n }\n if (listeTypeQuestions[i] !== 4) {\n const { xmin, xmax, ymin, ymax } = fixeBordures([monTableau])\n texteCorr = mathalea2d(Object.assign({ xmin, xmax, ymin, ymax }, {\n scale: 0.7,\n style: 'display:block'\n }), monTableau)\n }\n if (this.interactif && this.sup3) {\n this.consigne += 'If it is not a situation of proportionality, write: non-proportional.'\n }\n texte += ajouteChampTexteMathLive(this, i, ' inline', { texteApres: sp(2) + texteApres })\n if (this.listeQuestions.indexOf(texte) === -1) {\n // If the question has never been asked, we create another one\n this.listeQuestions.push(texte)\n this.listeCorrections.push(texteCorr)\n i++\n }\n cpt++\n }\n listeQuestionsToContenu(this)\n }\n this.besoinFormulaireNumerique = ['Difficulty level', 4, '1: Multiplication\\n2: Division\\n3: Passage through unity\\n4: Combination']\n this.besoinFormulaire2CaseACocher = ['With table in the locker']\n this.besoinFormulaire3CaseACocher = ['With situations of 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