File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/5L10-MaRCXgCh.js.map
{"version":3,"file":"5L10-MaRCXgCh.js","sources":["../../src/exercices/5e/5L10.js"],"sourcesContent":["import { choice } from '../../lib/outils/arrayOutils'\nimport { deprecatedTexFraction } from '../../lib/outils/deprecatedFractions.js'\nimport Exercice from '../Exercice.js'\nimport { gestionnaireFormulaireTexte, listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { propositionsQcm } from '../../lib/interactif/qcm.js'\nimport { miseEnEvidence } from '../../lib/outils/embellissements'\nexport const amcReady = true\nexport const amcType = 'qcmMult'\nexport const interactifReady = true\nexport const interactifType = 'qcm'\n\nexport const titre = 'Write a literal expression'\n\nexport const dateDeModifImportante = '19/11/2023'\n\n/**\n* Écrire une expression littérale à partir d'une phrase :\n* * Double, triple, moitié, tiers, quart\n* * Successeur, prédécesseur\n* * Carré, cube, opposé, inverse\n* * Somme, produit, quotient\n* * Nombre pair, nombre impair, multiple d'un nombre donné\n* @author Rémi Angot\n* Ajout de la possibilité de ne pas poser de question sur l'inverse d'un nombre par Guillaume Valmont le 11/05/2022\n* Ajout de la possibilité de choisir séparément chaque cas par Eric Elter le 19/11/2023\n*/\nexport const uuid = '3c1f7'\nexport const ref = '5L10'\nexport default function ÉcrireUneExpressionLitterale () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.nbQuestions = 4\n this.nbCols = 1\n this.nbColsCorr = 1\n this.besoinFormulaireCaseACocher = ['Include the inverse of a number']\n this.sup = true\n this.sup2 = 19\n\n this.nouvelleVersion = function () {\n this.autoCorrection = []\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n\n const listeTypeDeQuestions = gestionnaireFormulaireTexte({\n max: 18,\n defaut: 19,\n melange: 19,\n nbQuestions: this.nbQuestions,\n saisie: this.sup2,\n exclus: this.sup ? [] : [10] // Pour le choix qui existait précédemment de pouvoir supprimer l'inverse de la liste\n })\n\n for (let i = 0, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n this.autoCorrection[i] = {}\n const lettresDisponibles = ['x', 'y', 'z', 't', 'a', 'b', 'c', 'n', 'm']\n const x = choice(lettresDisponibles)\n const y = choice(lettresDisponibles, x)\n const k = randint(2, 10)\n switch (listeTypeDeQuestions[i]) {\n case 1: // 2x\n texte = `Express twice $${x}$ as a function of $${x}$.`\n texteCorr = `The double of $${x}$ can be written as: $${miseEnEvidence(`2${x}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$2\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct but not simplified.'\n },\n {\n texte: `$2${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}+${x}$`,\n statut: true,\n feedback: 'Correct but not simplified.'\n },\n {\n texte: `$2+${x}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n },\n {\n texte: `$${x}^2$`,\n statut: false,\n feedback: 'You confused the double and the square.'\n },\n {\n texte: `$${x}2$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n }\n ]\n break\n case 2: // 3x\n texte = `Express triple $${x}$ as a function of $${x}$.`\n texteCorr = `The triple of $${x}$ can be written as: $${miseEnEvidence(`3${x}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$3\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct but not simplified.'\n },\n {\n texte: `$3${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}+2${x}$`,\n statut: true,\n feedback: 'Correct but not simplified.'\n },\n {\n texte: `$3+${x}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n },\n {\n texte: `$${x}^3$`,\n statut: false,\n feedback: 'You confused the triple and the cube.'\n },\n {\n texte: `$${x}3$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n }\n ]\n break\n case 3: // x/2\n texte = `Express half of $${x}$ as a function of $${x}$.`\n texteCorr = `Half of $${x}$ can be written as: $${miseEnEvidence(`${deprecatedTexFraction(x, 2)}`)}$ or $${miseEnEvidence(`${x}\\\\div 2`)}$ or $${miseEnEvidence(`0.5${x}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${x}\\\\div 2$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$\\\\dfrac{${x}}{2}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$0.5${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}-2$`,\n statut: false,\n feedback: 'You confused quotient and difference.'\n },\n {\n texte: `$\\\\dfrac{1}{2}+${x}$`,\n statut: false,\n feedback: 'You confused multiplying by $\\\\dfrac{1}{2}$ and adding $\\\\dfrac{1}{2}$.'\n },\n {\n texte: `$${x}\\\\div 0.5$`,\n statut: false,\n feedback: 'This means multiplying by $2$, not dividing by $2$.'\n }\n ]\n break\n case 4: // x/4\n texte = `Express quarter of $${x}$ as a function of $${x}$.`\n texteCorr = `The quarter of $${x}$ can be noted: $${miseEnEvidence(`${deprecatedTexFraction(x, 4)}`)}$ or $${miseEnEvidence(`${x}\\\\div 4`)}$ or $${miseEnEvidence(`0,25${x}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${x}\\\\div 4$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$\\\\dfrac{${x}}{4}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$0.25${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}-\\\\dfrac{1}{4}$`,\n statut: false,\n feedback: 'You confused quotient and difference.'\n },\n {\n texte: `$\\\\dfrac{1}{4}+${x}$`,\n statut: false,\n feedback: 'You confused multiplying by $\\\\dfrac{1}{4}$ and adding $\\\\dfrac{1}{4}$.'\n },\n {\n texte: `$${x}\\\\div 0.25$`,\n statut: false,\n feedback: 'This means multiplying by $4$, not dividing by $4$.'\n }\n ]\n break\n case 5: // x+1\n texte = `$${x}$ being an integer, express the following integer in terms of $${x}$.`\n texteCorr = `The successor of $${x}$ can be noted: $${miseEnEvidence(`${x}+1`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$1+${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}+1$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}+${x}$`,\n statut: false,\n feedback: 'The double is rarely next. Actually, it only happens for 1.'\n },\n {\n texte: `$2${x}$`,\n statut: false,\n feedback: 'The double is rarely next. Actually, it only happens for 1.'\n },\n {\n texte: `$${x}-1$`,\n statut: false,\n feedback: 'You confused next and previous.'\n },\n {\n texte: `$${x}2$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n }\n ]\n break\n case 6: // x-1\n texte = `$${x}$ being an integer, express the previous integer in terms of $${x}$.`\n texteCorr = `The predecessor of $${x}$ can be noted: $${miseEnEvidence(`${x}-1`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${x}-1$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}+(-1)$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$1-${x}$`,\n statut: false,\n feedback: ''\n },\n {\n texte: `$${x}-${x}$`,\n statut: false,\n feedback: 'That\\'s zero, it seems to me... so it only works for 1.'\n },\n {\n texte: `$-1${x}$`,\n statut: false,\n feedback: 'You confused multiplying and adding.'\n },\n {\n texte: `$${x}+1$`,\n statut: false,\n feedback: 'You confused previous and next.'\n }\n ]\n break\n case 7: // x^2\n texte = `Express the square of $${x}$ as a function of $${x}$.`\n texteCorr = `The square of $${x}$ can be written as: $${miseEnEvidence(`${x}^2`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${x}${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}^2$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}2$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n },\n {\n texte: `$2${x}$`,\n statut: false,\n feedback: 'You confused the square and the double.'\n },\n {\n texte: `$${x}+2$`,\n statut: false,\n feedback: 'You have confused sum and power.'\n }\n ]\n break\n case 8: // x^3\n texte = `Express the cube of $${x}$ as a function of $${x}$.`\n texteCorr = `The cube of $${x}$ can be written: $${miseEnEvidence(`${x}^3`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${x}${x}${x}$`,\n statut: true,\n feedback: 'Correct, but not simplified.'\n },\n {\n texte: `$${x}\\\\times ${x}\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct, but not simplified.'\n },\n {\n texte: `$${x}^3$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}3$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n },\n {\n texte: `$3${x}$`,\n statut: false,\n feedback: 'You confused the cube and the triple.'\n },\n {\n texte: `$${x}+3$`,\n statut: false,\n feedback: 'You have confused sum and power.'\n }\n ]\n break\n case 9: // -x\n texte = `Express the opposite of $${x}$ in terms of $${x}$.`\n texteCorr = `The opposite of $${x}$ can be noted: $${miseEnEvidence(`-${x}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$-${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$-1\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct, but not simplified.'\n },\n {\n texte: `$${x}-1$`,\n statut: false,\n feedback: 'You confused multiplication and addition.'\n },\n {\n texte: `$\\\\dfrac{1}{${x}}$`,\n statut: false,\n feedback: 'You confused opposite and inverse.'\n },\n {\n texte: `$${x}$`,\n statut: false,\n feedback: 'This is only true for zero.'\n },\n {\n texte: `$1-${x}$`,\n statut: false,\n feedback: \"It's one too many...\"\n }\n ]\n break\n case 10: // 1/x\n texte = `Express the inverse of $${x}$ as a function of $${x}$.`\n texteCorr = `The inverse of $${x}$ can be noted: $${miseEnEvidence(`${deprecatedTexFraction(1, x)}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$\\\\dfrac{1}{${x}}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$-1\\\\times ${x}$`,\n statut: false,\n feedback: 'You confused inverse and opposite.'\n },\n {\n texte: `$${x}-1$`,\n statut: false,\n feedback: 'You confused division and subtraction.'\n },\n {\n texte: `$-${x}$`,\n statut: false,\n feedback: 'You confused inverse and opposite.'\n },\n {\n texte: `$${x}$`,\n statut: false,\n feedback: 'This is only true for 1.'\n },\n {\n texte: `$1-${x}$`,\n statut: false,\n feedback: 'You confused division and subtraction.'\n }\n ]\n break\n case 11: // x+k\n texte = `Express the sum of $${x}$ and ${k} as a function of $${x}$.`\n texteCorr = `The sum of $${x}$ and ${k} can be noted: $${miseEnEvidence(`${x}+${k}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${k}+${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}+${k}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${k}${x}$`,\n statut: false,\n feedback: 'You confused addition and multiplication.'\n },\n {\n texte: `$${x}${k}$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n },\n {\n texte: `$${x}-${k}$`,\n statut: false,\n feedback: 'You confused sum and difference.'\n },\n {\n texte: `$${k}\\\\times ${x}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n }\n ]\n break\n case 12: // kx\n texte = `Express the product of $${x}$ by ${k} as a function of $${x}$.`\n texteCorr = `The product of $${x}$ by ${k} can be written as: $${miseEnEvidence(`${k}${x}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${k}${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${k}\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct, but not simplified.'\n },\n {\n texte: `$${k}+${x}$`,\n statut: false,\n feedback: 'You confused addition and multiplication.'\n },\n {\n texte: `$${x}${k}$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n },\n {\n texte: `$${x}+${k}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n },\n {\n texte: `$${x}-${k}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n }\n ]\n break\n case 15: // x/k\n texte = `Express the quotient of $${x}$ by ${k} as a function of $${x}$.`\n texteCorr = `The quotient of $${x}$ by ${k} can be written as: $${miseEnEvidence(`${deprecatedTexFraction(x, k)}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${x}\\\\div ${k}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$\\\\dfrac{${x}}{${k}}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${k}\\\\div ${x}$`,\n statut: false,\n feedback: \"It's the opposite.\"\n },\n {\n texte: `$${x}\\\\times ${k}$`,\n statut: false,\n feedback: 'This entry is incorrect.'\n },\n {\n texte: `$${x}+${k}$`,\n statut: false,\n feedback: 'You confused sum and quotient.'\n },\n {\n texte: `$${x}-${k}$`,\n statut: false,\n feedback: 'You confused difference and quotient.'\n }\n ]\n break\n case 14: // k/x\n texte = `Express the quotient of ${k} by $${x}$ as a function of $${x}$.`\n texteCorr = `The quotient of ${k} by $${x}$ can be written: $${miseEnEvidence(`${deprecatedTexFraction(k, x)}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${k}\\\\div ${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$\\\\dfrac{${k}}{${x}}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}\\\\div ${k}$`,\n statut: false,\n feedback: \"It's the opposite.\"\n },\n {\n texte: `$${k}\\\\times ${x}$`,\n statut: false,\n feedback: 'You confused product and quotient.'\n },\n {\n texte: `$${x}\\\\times ${k}$`,\n statut: false,\n feedback: 'You confused product and quotient.'\n },\n {\n texte: `$${k}-${x}$`,\n statut: false,\n feedback: 'You confused difference and quotient.'\n }\n ]\n break\n case 13: // xy\n texte = `How can the product of $${x}$ and $${y}$ be noted?`\n texteCorr = `The product of $${x}$ by $${y}$ can be written as $${miseEnEvidence(`${x}${y}`)}$.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${y}${x}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${x}${y}$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${y}\\\\times ${x}$`,\n statut: true,\n feedback: 'Correct, but not simplified.'\n },\n {\n texte: `$${x}+${y}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n },\n {\n texte: `$${y}+${x}$`,\n statut: false,\n feedback: 'You confused sum and product.'\n },\n {\n texte: `$${x}-${y}$`,\n statut: false,\n feedback: 'You confused difference and product.'\n }\n ]\n break\n case 16: // pair\n texte = 'Write a literal expression that represents an even number.'\n texteCorr = `An even number can be written as $${miseEnEvidence('2n')}$ with $n$ a natural number.`\n this.autoCorrection[i].propositions = [\n {\n texte: '$2n$',\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: '$2(n+1)$',\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: '$n+2$',\n statut: false,\n feedback: 'Is the number n even?'\n },\n {\n texte: '$n-2$',\n statut: false,\n feedback: 'Is the number n even?'\n },\n {\n texte: '$n\\\\div 2$',\n statut: false,\n feedback: 'Is the result an integer?'\n },\n {\n texte: '$n^2$',\n statut: false,\n feedback: 'Is the square of an odd number even?'\n }\n ]\n break\n case 17: // impair\n texte = 'Write a literal expression that represents an odd number.'\n texteCorr = `An odd number can be written as $${miseEnEvidence('2n+1')}$ with $n$ a natural number.`\n this.autoCorrection[i].propositions = [\n {\n texte: '$2n+1$',\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: '$n+1$',\n statut: false,\n feedback: 'What happens if n is an odd number?'\n },\n {\n texte: '$n+3$',\n statut: false,\n feedback: 'What happens if n is an odd number?'\n },\n {\n texte: '$3n$',\n statut: false,\n feedback: 'What if n is an even number?'\n },\n {\n texte: '$n-1$',\n statut: false,\n feedback: 'What happens if n is an odd number?'\n },\n {\n texte: '$n+7$',\n statut: false,\n feedback: 'What happens if n is an odd number?'\n }\n ]\n break\n case 18: // multiple de k\n texte = `Write a literal expression that allows you to represent a multiple of ${k}.`\n texteCorr = `A multiple of ${k} can be written as $${miseEnEvidence(`${k}n`)}$ with $n$ a natural number.`\n this.autoCorrection[i].propositions = [\n {\n texte: `$${k}n$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${k}\\\\times n$`,\n statut: true,\n feedback: 'Correct !'\n },\n {\n texte: `$${k}+n$`,\n statut: false,\n feedback: 'You confused product and sum.'\n },\n {\n texte: `$${k}-n$`,\n statut: false,\n feedback: 'You confused product and difference.'\n },\n {\n texte: `$\\\\dfrac{${k}}{n}$`,\n statut: false,\n feedback: ''\n },\n {\n texte: `$n-${k}$`,\n statut: false,\n feedback: 'You confused product and difference.'\n }\n ]\n break\n }\n this.autoCorrection[i].enonce = `${texte}\\n`\n if (this.questionJamaisPosee(i, texte)) { // Si la question n'a jamais été posée, on en créé une autre\n if (this.interactif) {\n texte += propositionsQcm(this, i).texte\n }\n this.listeQuestions.push(texte)\n this.listeCorrections.push(texteCorr)\n i++\n }\n cpt++\n }\n listeQuestionsToContenu(this)\n }\n this.besoinFormulaire2Texte = ['Type of questions', [\n 'Numbers separated by hyphens',\n ' 1: Double',\n ' 2: Triple',\n ' 3: Half',\n ' 4: Quarter',\n ' 5: Next integer',\n ' 6: Previous integer',\n ' 7: Square',\n ' 8: Cube',\n ' 9: Opposite',\n '10: Reverse',\n '11: Sum of two numbers',\n '12: Product of two numbers V1',\n '13: Product of two numbers V2',\n '14: Quotient of two numbers V1',\n '15: Quotient of two numbers V2',\n '16: Even number',\n '17: Odd number',\n '18: Multiple',\n '19: Mixture'\n ].join('\\n')\n 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