File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/4C11-bm2ML9yh.js.map
{"version":3,"file":"4C11-bm2ML9yh.js","sources":["../../src/exercices/4e/4C11.js"],"sourcesContent":["import { choice, combinaisonListes, enleveElement } from '../../lib/outils/arrayOutils'\nimport { miseEnEvidence } from '../../lib/outils/embellissements'\nimport { ecritureAlgebrique, ecritureParentheseSiNegatif } from '../../lib/outils/ecritures.js'\nimport { range1 } from '../../lib/outils/nombres.js'\nimport { lettreDepuisChiffre } from '../../lib/outils/outilString.js'\nimport { listeDesDiviseurs } from '../../lib/outils/primalite.js'\nimport Exercice from '../Exercice.js'\nimport { context } from '../../modules/context.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\n\nexport const titre = 'Calculations using operational priorities'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\n\n/**\n * Plusieurs type de calcul avec des entiers.\n *\n * Sans parenthèses :\n * * a+b*c\n * * a+b÷c\n * * a/b*c\n * * a*b÷c\n * * a*b+c\n * * a-b+c\n * * a+b+c*d\n * * a*b+c*d\n * * a*b*c+d\n * * a*b-c÷d\n * * a*b+c÷d\n *\n * Avec parenthèses :\n * * a*(b-c)\n * * (a-b)*c\n * * (a-b)÷c\n * * a÷(b+c)\n * * (a-b)÷c\n * * a*(b-c)*d\n * * a*b*(c-d)\n * * a*(b-c*d)\n * * (a+b*c)÷d\n * * a*(b-c*d)\n * * a*b÷(c+d)\n * * a*(b÷c+d)\n * * a-(b+c)\n * * (a+b+c)*d\n * @author Rémi Angot\n * 4C11\n */\nexport const uuid = '62f66'\nexport const ref = '4C11'\nexport default function PrioritesEtRelatifs () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.titre = titre\n this.interactifReady = interactifReady\n this.interactifType = interactifType\n this.consigne = 'Calculate.'\n this.spacing = 2\n this.nbQuestions = 6\n this.nbCols = 2\n this.nbColsCorr = 1\n this.sup = 3\n\n this.nouvelleVersion = function () {\n this.sup = parseInt(this.sup)\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n let listeQuestionsDisponibles\n if (this.sup === 1) {\n listeQuestionsDisponibles = range1(11)\n } else if (this.sup === 2) {\n listeQuestionsDisponibles = range1(20, range1(11))\n } else {\n listeQuestionsDisponibles = range1(20)\n }\n const listeTypeDeQuestions = combinaisonListes(\n listeQuestionsDisponibles,\n this.nbQuestions\n )\n for (let i = 0, texte, texteCorr, a, b, c, d, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n switch (listeTypeDeQuestions[i]) {\n case 1: // a+b*c\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}${ecritureAlgebrique(b)}\\\\times${ecritureParentheseSiNegatif(c)}=$`\n texteCorr = `$${a}${miseEnEvidence('~' + ecritureAlgebrique(b) + '\\\\times' + ecritureParentheseSiNegatif(c))}=${a}${ecritureAlgebrique(b * c)}=${a + b * c}$`\n setReponse(this, i, a + b * c)\n break\n case 2: // a+b/c\n a = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n b = c * randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n b = c * randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}${ecritureAlgebrique(b)}\\\\div${ecritureParentheseSiNegatif(c)}=$`\n texteCorr = `$${a}${miseEnEvidence('~' + ecritureAlgebrique(b) + '\\\\div' + ecritureParentheseSiNegatif(c))}=${a}${ecritureAlgebrique(b / c)}=${a + b / c}$`\n setReponse(this, i, a + b / c)\n break\n case 3: // a/b*c\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n a = b * randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n a = b * randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}\\\\div${ecritureParentheseSiNegatif(b)}\\\\times${ecritureParentheseSiNegatif(c)}=$`\n texteCorr = `$${miseEnEvidence(a + '\\\\div' + ecritureParentheseSiNegatif(b))}\\\\times${ecritureParentheseSiNegatif(c)}=${a / b}\\\\times${ecritureParentheseSiNegatif(c)}=${(a / b) * c}$`\n setReponse(this, i, (a / b) * c)\n break\n case 4: // a*b/c\n if (choice([true, false])) {\n // a is a multiple of c\n c = randint(2, 6) * choice([-1, 1])\n a = c * randint(2, 5) * choice([-1, 1])\n b = randint(2, 6) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n c = randint(2, 6) * choice([-1, 1])\n a = c * randint(2, 5) * choice([-1, 1])\n b = randint(2, 6) * choice([-1, 1])\n }\n } else {\n // b is a multiple of c\n c = randint(2, 6) * choice([-1, 1])\n b = c * randint(2, 5) * choice([-1, 1])\n a = randint(2, 6) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n c = randint(2, 6) * choice([-1, 1])\n b = c * randint(2, 5) * choice([-1, 1])\n a = randint(2, 6) * choice([-1, 1])\n }\n }\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\div${ecritureParentheseSiNegatif(c)}=$`\n texteCorr = `$${miseEnEvidence(a + '\\\\times' + ecritureParentheseSiNegatif(b))}\\\\div${ecritureParentheseSiNegatif(c)}=${a * b}\\\\div${ecritureParentheseSiNegatif(c)}=${(a * b) / c}$`\n setReponse(this, i, (a * b) / c)\n break\n case 5: // a*b+c\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}${ecritureAlgebrique(c)}=$`\n texteCorr = `$${miseEnEvidence(a + '\\\\times' + ecritureParentheseSiNegatif(b))}${ecritureAlgebrique(c)}=${a * b}${ecritureAlgebrique(c)}=${a * b + c}$`\n setReponse(this, i, a * b + c)\n break\n case 6: // a-b+c\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}-(${ecritureAlgebrique(b)})${ecritureAlgebrique(c)}=$`\n texteCorr = `$${a}${miseEnEvidence(ecritureAlgebrique(-b))}${ecritureAlgebrique(c)}=${a - b}${ecritureAlgebrique(c)}=${a - b + c}$`\n setReponse(this, i, a - b + c)\n break\n case 7: // a+b+c*d\n a = randint(2, 20) * choice([-1, 1])\n b = randint(2, 20) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0 && d > 0) {\n a = randint(2, 20) * choice([-1, 1])\n b = randint(2, 20) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}${ecritureAlgebrique(b)}${ecritureAlgebrique(c)}\\\\times${ecritureParentheseSiNegatif(d)}=$`\n texteCorr = `$${a}${ecritureAlgebrique(b)}${miseEnEvidence(ecritureAlgebrique(c) + '\\\\times' + ecritureParentheseSiNegatif(d))}=${a}${ecritureAlgebrique(b)}${ecritureAlgebrique(c * d)}=${a + b + c * d}$`\n setReponse(this, i, a + b + c * d)\n break\n case 8: // a*b+c*d\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0 && d > 0) {\n a = randint(2, 20) * choice([-1, 1])\n b = randint(2, 20) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}${ecritureAlgebrique(c)}\\\\times${ecritureParentheseSiNegatif(d)}=$`\n texteCorr = `$${a + miseEnEvidence('\\\\times') + ecritureParentheseSiNegatif(b)}${ecritureAlgebrique(c) + miseEnEvidence('\\\\times') + ecritureParentheseSiNegatif(d)}=${a * b}${ecritureAlgebrique(c * d)}=${a * b + c * d}$`\n setReponse(this, i, a * b + c * d)\n break\n case 9: // a*b*c+d\n a = randint(2, 5) * choice([-1, 1])\n b = randint(2, 5) * choice([-1, 1])\n c = randint(2, 5) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0 && d > 0) {\n a = randint(2, 5) * choice([-1, 1])\n b = randint(2, 5) * choice([-1, 1])\n c = randint(2, 5) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n }\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\times${ecritureParentheseSiNegatif(c)}${ecritureAlgebrique(d)}=$`\n texteCorr = `$${miseEnEvidence(a + '\\\\times' + ecritureParentheseSiNegatif(b))}\\\\times${ecritureParentheseSiNegatif(c)}${ecritureAlgebrique(d)}=${miseEnEvidence(a * b + '\\\\times' + ecritureParentheseSiNegatif(c))}${ecritureAlgebrique(d)}=${a * b * c}${ecritureAlgebrique(d)}=${a * b * c + d}$`\n setReponse(this, i, a * b * c + d)\n break\n case 10:\n a = randint(2, 11) * choice([-1, 1])\n b = randint(2, 11) * choice([-1, 1])\n d = randint(2, 11) * choice([-1, 1])\n c = d * randint(2, 8) * choice([-1, 1])\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}${ecritureAlgebrique(c)}\\\\div${ecritureParentheseSiNegatif(d)}=$`\n texteCorr = `$${a + miseEnEvidence('\\\\times') + ecritureParentheseSiNegatif(b) + ecritureAlgebrique(c) + miseEnEvidence('\\\\div') + ecritureParentheseSiNegatif(d)}=${a * b}${ecritureAlgebrique(c / d)}=${a * b + c / d}$`\n setReponse(this, i, a * b + c / d)\n break\n case 11: // a*(b+c)\n a = randint(2, 11) * choice([-1, 1])\n b = randint(1, 11) * choice([-1, 1])\n c = randint(1, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(2, 11) * choice([-1, 1])\n b = randint(1, 11) * choice([-1, 1])\n c = randint(1, 11) * choice([-1, 1])\n }\n texte = `$${a}\\\\times(${b}${ecritureAlgebrique(c)})=$`\n texteCorr = `$${a}\\\\times(${miseEnEvidence(b + ecritureAlgebrique(c))})=${a}\\\\times${ecritureParentheseSiNegatif(b + c)}=${a * (b + c)}$`\n setReponse(this, i, a * (b + c))\n break\n case 12: // (a+b)*c\n a = randint(1, 11) * choice([-1, 1])\n b = randint(1, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(1, 11) * choice([-1, 1])\n b = randint(1, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n }\n texte = `$(${a}${ecritureAlgebrique(b)})\\\\times${ecritureParentheseSiNegatif(c)}=$`\n texteCorr = `$(${miseEnEvidence(a + ecritureAlgebrique(b))})\\\\times${ecritureParentheseSiNegatif(c)}=${a + b}\\\\times${ecritureParentheseSiNegatif(c)}=${(a + b) * c}$`\n setReponse(this, i, (a + b) * c)\n break\n case 13: // (a+b)/c\n c = randint(2, 11) * choice([-1, 1])\n b = randint(11, 39) * choice([-1, 1])\n a = c * randint(2, 9) * [choice([-1, 1])] - b\n while (a > 0 && b > 0 && c > 0) {\n c = randint(2, 11) * choice([-1, 1])\n b = randint(11, 39) * choice([-1, 1])\n a = c * randint(2, 9) * [choice([-1, 1])] - b\n }\n texte = `$(${a}${ecritureAlgebrique(b)})\\\\div${ecritureParentheseSiNegatif(c)}=$`\n texteCorr = `$(${miseEnEvidence(a + ecritureAlgebrique(b))})\\\\div${ecritureParentheseSiNegatif(c)}=${a + b}\\\\div${ecritureParentheseSiNegatif(c)}=${(a + b) / c}$`\n setReponse(this, i, (a + b) / c)\n break\n case 14: // a/(b+c)\n b = randint(-5, 5, [-1, 0, 1])\n c = randint(-6, 6, [-1, 0, 1, -b])\n a = (b + c) * randint(2, 9) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n b = randint(-5, 5, [-1, 0, 1])\n c = randint(-6, 6, [-1, 0, 1, -b])\n a = (b + c) * randint(2, 9) * choice([-1, 1])\n }\n texte = `$${a}\\\\div(${b}${ecritureAlgebrique(c)})=$`\n texteCorr = `$${a}\\\\div(${miseEnEvidence(b + ecritureAlgebrique(c))})=${a}\\\\div${ecritureParentheseSiNegatif(b + c)}=${a / (b + c)}$`\n setReponse(this, i, a / (b + c))\n break\n case 15: // a(b+c)*d\n c = randint(11, 39) * choice([-1, 1])\n b = randint(2, 5) * choice([-1, 1]) - c\n a = randint(2, 5) * choice([-1, 1])\n d = randint(2, 5) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0 && d > 0) {\n c = randint(11, 39) * choice([-1, 1])\n b = (randint(2, 5) - c) * choice([-1, 1])\n a = randint(2, 5) * choice([-1, 1])\n d = randint(2, 5) * choice([-1, 1])\n }\n texte = `$${a}\\\\times(${b}${ecritureAlgebrique(c)})\\\\times${ecritureParentheseSiNegatif(d)}=$`\n texteCorr = `$${a}\\\\times(${miseEnEvidence(b + ecritureAlgebrique(c))})\\\\times${ecritureParentheseSiNegatif(d)}=${a}\\\\times${ecritureParentheseSiNegatif(b + c)}\\\\times${ecritureParentheseSiNegatif(d)}=${a * (b + c) * d}$`\n setReponse(this, i, a * (b + c) * d)\n break\n case 16: // a*b*(c+d)\n d = randint(11, 39) * choice([-1, 1])\n c = randint(2, 5) * choice([-1, 1]) - d\n a = randint(2, 5) * choice([-1, 1])\n b = randint(2, 5) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0 && d > 0) {\n d = randint(11, 39) * choice([-1, 1])\n c = randint(2, 5) * choice([-1, 1]) - d\n a = randint(2, 5) * choice([-1, 1])\n b = randint(2, 5) * choice([-1, 1])\n }\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\times(${c}${ecritureAlgebrique(d)})=$`\n texteCorr = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\times(${miseEnEvidence(c + ecritureAlgebrique(d))})=${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\times${ecritureParentheseSiNegatif(c + d)}=${a * b * (c + d)}$`\n setReponse(this, i, a * b * (c + d))\n break\n case 17: // a*(b/c+d)\n a = randint(2, 11) * choice([-1, 1])\n c = randint(2, 11) * choice([-1, 1])\n b = c * randint(2, 5) * choice([-1, 1])\n d = randint(2, 6) * choice([-1, 1])\n texte = `$${a}\\\\times(${b}\\\\div${ecritureParentheseSiNegatif(c)}${ecritureAlgebrique(d)})=$`\n texteCorr = `$${a}\\\\times(${miseEnEvidence(b + '\\\\div' + ecritureParentheseSiNegatif(c))}${ecritureAlgebrique(d)})=${a}\\\\times(${miseEnEvidence(b / c + ecritureAlgebrique(d))})=${a}\\\\times${ecritureParentheseSiNegatif(b / c + d)}=${a * (b / c + d)}$`\n setReponse(this, i, a * (b / c + d))\n break\n case 18: // a*b/(c+d)\n a = randint(2, 11)\n b = randint(2, 11)\n while (listeDesDiviseurs(a * b).length < 5) {\n a = randint(2, 11)\n b = randint(2, 11)\n }\n // eslint-disable-next-line no-case-declarations\n const liste = listeDesDiviseurs(a * b)\n if (liste.length > 2) {\n liste.pop() // on supprime le plus grand diviseur qui est le produit\n enleveElement(liste, a) // on supprime a\n enleveElement(liste, b) // on supprime b\n }\n // eslint-disable-next-line no-case-declarations\n const somme = choice(liste, [1]) * choice([-1, 1]) // la somme doit être un diviseur différent de 1\n c = randint(-30, 30, [0])\n d = somme - c\n\n // eslint-disable-next-line no-unmodified-loop-condition\n while (a > 0 && b > 0 && c > 0 && d > 0) {\n a *= choice([-1, 1])\n b *= choice([-1, 1])\n }\n texte = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\div(${c}${ecritureAlgebrique(d)})=$`\n texteCorr = `$${a}\\\\times${ecritureParentheseSiNegatif(b)}\\\\div(${miseEnEvidence(c + ecritureAlgebrique(d))})=${miseEnEvidence(a + '\\\\times' + ecritureParentheseSiNegatif(b))}\\\\div${ecritureParentheseSiNegatif(c + d)}=${a * b}\\\\div${ecritureParentheseSiNegatif(c + d)}=${(a * b) / (c + d)}$`\n setReponse(this, i, (a * b) / (c + d))\n break\n case 19: // a-(b+c)\n a = randint(1, 9) * choice([-1, 1])\n b = randint(1, 9) * choice([-1, 1])\n c = randint(1, 9) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(1, 9) * choice([-1, 1])\n b = randint(1, 9) * choice([-1, 1])\n c = randint(1, 9) * choice([-1, 1])\n }\n texte = `$${a}-(${b}${ecritureAlgebrique(c)})=$`\n texteCorr = `$${a}-(${miseEnEvidence(b + ecritureAlgebrique(c))})=${a}-(${ecritureAlgebrique(b + c)})=${a + ecritureAlgebrique(-b - c)}=${a - b - c}$`\n setReponse(this, i, a - b - c)\n break\n case 20: // (a+b+c)*d\n a = randint(1, 9) * choice([-1, 1])\n b = randint(1, 9) * choice([-1, 1])\n c = randint(1, 9) * choice([-1, 1])\n d = randint(2, 5) * choice([-1, 1])\n while (a > 0 && b > 0 && c > 0) {\n a = randint(1, 9) * choice([-1, 1])\n b = randint(1, 9) * choice([-1, 1])\n c = randint(1, 9) * choice([-1, 1])\n }\n texte = `$(${a + ecritureAlgebrique(b) + ecritureAlgebrique(c)})\\\\times${ecritureParentheseSiNegatif(d)}=$`\n texteCorr = `$(${miseEnEvidence(a + ecritureAlgebrique(b) + ecritureAlgebrique(c))})\\\\times${ecritureParentheseSiNegatif(d)}=${a + b + c}\\\\times${ecritureParentheseSiNegatif(d)}=${(a + b + c) * d} $`\n setReponse(this, i, (a + b + c) * d)\n break\n }\n texte += ajouteChampTexteMathLive(this, i)\n if (this.sup2) {\n texte = `${lettreDepuisChiffre(i + 1)} = ${texte.substring(0, texte.length - 2) + '$'}`\n // We cut\n const etapes = texteCorr.split('=')\n texteCorr = ''\n etapes.forEach(function (etape) {\n etape = etape.replace('$', '')\n if (context.isHtml) {\n texteCorr += '<br>'\n }\n texteCorr += `${lettreDepuisChiffre(i + 1)} = $${etape}$ <br>`\n })\n }\n if (this.questionJamaisPosee(i, listeTypeDeQuestions[i], a, b, c, d)) {\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 = [\n 'Type of calculations',\n 3,\n '1: Without operations in parentheses\\n2: With operations in parentheses\\n3: Mixture'\n ]\n this.besoinFormulaire2CaseACocher = ['Presentation of corrections in columns', 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