{"version":3,"file":"6N41-RUPwSgPt.js","sources":["../../src/exercices/6e/6N41.js"],"sourcesContent":["import { choice, combinaisonListes, enleveElement } from '../../lib/outils/arrayOutils'\nimport { miseEnEvidence } from '../../lib/outils/embellissements'\nimport { deprecatedTexFraction } from '../../lib/outils/deprecatedFractions.js'\nimport Exercice from '../Exercice.js'\nimport { context } from '../../modules/context.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { remplisLesBlancs } from '../../lib/interactif/questionMathLive.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const titre = 'Complete equalities between simple fractions'\nexport const amcReady = true\nexport const amcType = 'qcmMono'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const dateDeModifImportante = '20/12/2023'\n\n/**\n * Écrire une fraction avec un nouveau dénominateur qui est un multiple de son dénominateur (ce multiple est inférieur à une valeur maximale de 11 par défaut)\n * @author Rémi Angot\n * @author Jean-claude Lhote (Mode QCM et alternance numérateur / dénominateur)\n */\nexport const uuid = '06633'\nexport const ref = '6N41'\nexport default function EgalitesEntreFractions () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.sup = 11 // Correspond au facteur commun\n  this.sup2 = 2 // alternance numérateur ou dénominateur imposé.\n  this.consigne = 'Complete the equalities.'\n  this.spacing = 2\n  this.spacingCorr = 2\n\n  this.nouvelleVersion = function () {\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = []\n    const listeFractions = [\n      [1, 2],\n      [1, 3],\n      [2, 3],\n      [1, 4],\n      [3, 4],\n      [1, 5],\n      [2, 5],\n      [3, 5],\n      [4, 5],\n      [1, 6],\n      [5, 6],\n      [1, 7],\n      [2, 7],\n      [3, 7],\n      [4, 7],\n      [5, 7],\n      [6, 7],\n      [1, 8],\n      [3, 8],\n      [5, 8],\n      [7, 8],\n      [1, 9],\n      [2, 9],\n      [4, 9],\n      [5, 9],\n      [7, 9],\n      [8, 9],\n      [1, 10],\n      [3, 10],\n      [7, 10],\n      [9, 10]\n    ] // Couples de nombres premiers entre eux\n    const listeTypeDeQuestions = combinaisonListes(\n      [1, 1, 1, 1, 2],\n      this.nbQuestions\n    )\n    for (\n      let i = 0, fraction, a, b, c, d, k, choix, texte, texteCorr;\n      i < this.nbQuestions;\n      i++\n    ) {\n      if (listeTypeDeQuestions[i] === 1) {\n        // equality between 2 fractions\n        fraction = choice(listeFractions) //\n        a = fraction[0]\n        b = fraction[1]\n        if (this.modeQcm) {\n          k = randint(3, Math.max(this.sup, 4))\n        } else {\n          k = randint(2, Math.max(3, this.sup))\n        }\n        c = k * a\n        d = k * b\n        enleveElement(listeFractions, fraction) // Il n'y aura pas 2 fois la même fraction de départ\n        if (this.sup2 === 3) {\n          choix = i % 2\n        } else {\n          choix = this.sup2 % 2\n        }\n        switch (choix) {\n          case 0 :\n            texte = `$${deprecatedTexFraction(a, b)} = ${deprecatedTexFraction('\\\\phantom{00000000000000}', '\\\\phantom{00000000000000}')} = $`\n            if (this.interactif && context.isHtml) {\n              const content = `\\\\dfrac{${a}}{${b}} = \\\\dfrac{%{num1}}{%{den1}} = \\\\dfrac{%{num2}}{${d}}$`\n              texte = remplisLesBlancs(this, i, content)\n              setReponse(this, i, {\n                bareme: (listePoints) => [listePoints[0] * listePoints[1] + listePoints[2], 2],\n                num1: { value: `${a}\\times ${k}` },\n                den1: { value: `${b}\\times ${k}` },\n                num2: { value: c }\n              },\n              { formatInteractif: 'fillInTheBlank' }\n              )\n            } else {\n              texte += `$${deprecatedTexFraction('\\\\phantom{0000}', d)}$`\n            }\n            texteCorr = `$${deprecatedTexFraction(a, b)} = ${deprecatedTexFraction(a + miseEnEvidence('\\\\times' + k), b + miseEnEvidence('\\\\times' + k))} = ${deprecatedTexFraction(c, d)}$`\n            if (context.isAmc) {\n              this.autoCorrection[i] = {}\n              this.autoCorrection[i].propositions = [\n                {\n                  texte: `$${deprecatedTexFraction(c, d)}$`,\n                  statut: true\n                },\n                {\n                  texte: `$${deprecatedTexFraction(a, d)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction((k - 1) * a, d)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction((k + 1) * a, d)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(Math.abs(d - a), d)}$`,\n                  statut: false\n                }\n              ]\n            }\n            break\n          case 1 :\n            texte = `$${deprecatedTexFraction(a, b)} = ${deprecatedTexFraction('\\\\phantom{00000000000000}', '\\\\phantom{00000000000000}')} = $`\n            if (this.interactif && context.isHtml) {\n              const content = `\\\\dfrac{${a}}{${b}} = \\\\dfrac{%{num1}}{%{den1}} = \\\\dfrac{${c}}{%{den2}}$`\n              texte = remplisLesBlancs(this, i, content)\n              setReponse(this, i, {\n                bareme: (listePoints) => [listePoints[0] * listePoints[1] + listePoints[2], 2],\n                num1: { value: `${a}\\times ${k}` },\n                den1: { value: `${b}\\times ${k}` },\n                den2: { value: d }\n              },\n              { formatInteractif: 'fillInTheBlank' }\n              )\n            } else {\n              texte += `$${deprecatedTexFraction(c, '\\\\phantom{0000}')}$`\n            }\n            texteCorr = `$${deprecatedTexFraction(a, b)} = ${deprecatedTexFraction(a + miseEnEvidence('\\\\times' + k), b + miseEnEvidence('\\\\times' + k))} = ${deprecatedTexFraction(c, d)}$`\n            if (context.isAmc) {\n              this.autoCorrection[i] = {}\n              this.autoCorrection[i].propositions = [\n                {\n                  texte: `$${deprecatedTexFraction(c, d)}$`,\n                  statut: true\n                },\n                {\n                  texte: `$${deprecatedTexFraction(c, b)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$\\\\dfrac{${c}}{${(k - 1) * b}}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(c, (k + 1) * b)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$\\\\dfrac{${c}}{${Math.abs(c - b)}}$`,\n                  statut: false\n                }\n              ]\n            }\n            break\n        }\n      } else {\n        // write an integer as a fraction\n        a = randint(1, 9)\n        if (this.interactif && !context.isAmc && this.interactif === 'mth') {\n          d = randint(3, 9, [a, 2 * a])\n        } else {\n          d = randint(2, 9)\n        }\n        c = a * d\n        if (this.sup2 === 3) {\n          choix = i % 2\n        } else {\n          choix = this.sup2 % 2\n        }\n        switch (choix) {\n          case 0 : // Recherche du numérateur\n            if (this.interactif && context.isHtml) {\n              const content = `${a} = \\\\dfrac{%{num1}}{%{den1}} = \\\\dfrac{%{num2}}{${d}}$`\n              texte = remplisLesBlancs(this, i, content)\n              setReponse(this, i, {\n                bareme: (listePoints) => [listePoints[0] * listePoints[1] + listePoints[2], 2],\n                num1: { value: a },\n                den1: { value: 1 },\n                num2: { value: a * d }\n              },\n              { formatInteractif: 'fillInTheBlank' }\n              )\n            } else {\n              texte = `$${a} = ${deprecatedTexFraction('\\\\phantom{00000000000000}', '\\\\phantom{00000000000000}')} = ${deprecatedTexFraction('\\\\phantom{0000}', d)}$`\n            }\n            if (this.interactif && this.interactifType !== 'mathLive') {\n              texte = `$${a} = \\\\ldots$`\n            }\n            texteCorr = `$${a} = \\\\dfrac{${a}}{1} =${deprecatedTexFraction(a + miseEnEvidence('\\\\times' + d), '1' + miseEnEvidence('\\\\times' + d))} = ${deprecatedTexFraction(c, d)}$`\n            if (context.isAmc) {\n              this.autoCorrection[i] = {}\n              this.autoCorrection[i].propositions = [\n                {\n                  texte: `$${deprecatedTexFraction(c, d)}$`,\n                  statut: true\n                },\n                {\n                  texte: `$${deprecatedTexFraction(a, d)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(d + a, d)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(Math.abs(d - a), d)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction((a + 1) * d, d)}$`,\n                  statut: false\n                }\n              ]\n            }\n            break\n          case 1 :\n            texte = `$${a} = ${deprecatedTexFraction('\\\\phantom{00000000000000}', '\\\\phantom{00000000000000}')} = $`\n            if (this.interactif && context.isHtml) {\n              const content = `${a} = \\\\dfrac{%{num1}}{%{den1}} = \\\\dfrac{%{${c}}}{%{den2}}$`\n              texte = remplisLesBlancs(this, i, content)\n              setReponse(this, i, {\n                bareme: (listePoints) => [listePoints[0] * listePoints[1] + listePoints[2], 2],\n                num1: { value: a },\n                den1: { value: 1 },\n                den2: { value: d }\n              },\n              { formatInteractif: 'fillInTheBlank' }\n              )\n            } else {\n              texte += `$${deprecatedTexFraction(c, '\\\\phantom{0000}')}$`\n            }\n            if (this.interactif && this.interactifType !== 'mathLive') {\n              texte = `$${a} = \\\\ldots$`\n            }\n            texteCorr = `$${a} = \\\\dfrac{${a}}{1} =${deprecatedTexFraction(a + miseEnEvidence('\\\\times' + d), '1' + miseEnEvidence('\\\\times' + d))} = ${deprecatedTexFraction(c, d)}$`\n            if (context.isAmc) {\n              this.autoCorrection[i] = {}\n              this.autoCorrection[i].propositions = [\n                {\n                  texte: `$${deprecatedTexFraction(c, d)}$`,\n                  statut: true\n                },\n                {\n                  texte: `$${deprecatedTexFraction(c, c - a)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(c, a)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(c, c + a)}$`,\n                  statut: false\n                },\n                {\n                  texte: `$${deprecatedTexFraction(c, c * a)}$`,\n                  statut: false\n                }\n              ]\n            }\n            break\n        }\n      }\n      if (context.isAmc) {\n        this.autoCorrection[i].enonce = `Which of the following fractions is equal to ${texte.split('=')[0]}$?`\n      }\n      this.listeQuestions.push(texte)\n      this.listeCorrections.push(texteCorr)\n    }\n    listeQuestionsToContenu(this)\n  }\n  this.besoinFormulaireNumerique = ['Maximum value of common factor', 99]\n  this.besoinFormulaire2Numerique = ['Type of questions', 3, '1: 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