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{"version":3,"file":"can4L07-SD6Sy2Qd.js","sources":["../../src/exercices/can/4e/can4L07.js"],"sourcesContent":["import { choice } from '../../../lib/outils/arrayOutils'\nimport { ecritureAlgebrique, ecritureParentheseSiNegatif, rienSi1 } from '../../../lib/outils/ecritures.js'\nimport { signe } from '../../../lib/outils/nombres.js'\nimport { texNombre } from '../../../lib/outils/texNombre.js'\nimport Exercice from '../../Exercice.js'\nimport { randint, printlatex } from '../../../modules/outils.js'\nexport const titre = 'Réduire une expression littérale'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\n\n// Les exports suivants sont optionnels mais au moins la date de publication semble essentielle\nexport const dateDePublication = '23/02/2022' // La date de publication initiale au format 'jj/mm/aaaa' pour affichage temporaire d'un tag\n// export const dateDeModifImportante = '24/10/2021' // Une date de modification importante au format 'jj/mm/aaaa' pour affichage temporaire d'un tag\n\n/**\n * Modèle d'exercice très simple pour la course aux nombres\n * @author Gilles Mora\n * Référence\n*/\nexport const uuid = '97664'\nexport const ref = 'can4L07'\nexport default function ReduireExp () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.typeExercice = 'simple' // Cette ligne est très importante pour faire faire un exercice simple !\n this.nbQuestions = 1\n this.tailleDiaporama = 2\n // Dans un exercice simple, ne pas mettre de this.listeQuestions = [] ni de this.consigne\n\n this.nouvelleVersion = function () {\n this.formatChampTexte = 'largeur15 inline'\n let a, b, c, choix, d, e\n switch (randint(1, 3)) {\n case 1: // ax+bx+c\n choix = choice([1, 2, 3])// 1,2\n if (choix === 1) {\n a = randint(1, 10)\n b = randint(1, 10)\n c = randint(1, 10)\n this.question = `Écrire le plus simplement possible : <br>\n \n $${rienSi1(a)}x+${rienSi1(b)}x+${texNombre(c)}$.`\n this.correction = `$${rienSi1(a)}x+${rienSi1(b)}x+${texNombre(c)}=(${a}+${b})x+${c}=${texNombre(a + b)}x+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(a + b, 0)}x+${texNombre(c)}`)\n }\n if (choix === 2) {\n a = randint(1, 5)\n b = randint(1, 5)\n c = randint(1, 5)\n this.question = `Écrire le plus simplement possible : <br>\n \n $${rienSi1(b)}x+${texNombre(c)}+${rienSi1(a)}x$.`\n this.correction = `$${rienSi1(b)}x+${texNombre(c)}+${rienSi1(a)}x=(${a}+${b})x+${c}=${texNombre((a + b))}x+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(a + b)}x+${texNombre(c)}`)\n }\n if (choix === 3) {\n a = randint(-4, -1)\n b = randint(-4, -1)\n c = randint(1, 10)\n this.question = `Écrire le plus simplement possible : <br>\n \n $${rienSi1(b)}x+${texNombre(c)}${rienSi1(a)}x$.`\n this.correction = `$${rienSi1(b)}x+${texNombre(c)}${rienSi1(a)}x=(${a}${b})x+${c}=${texNombre((a + b))}x+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(a + b)}x+${texNombre(c)}`)\n }\n\n break\n\n case 2: // ax^2+bx+c+dx^2+/-x\n choix = choice([1, 2])// 1,2\n if (choix === 1) {\n b = randint(1, 3)\n c = randint(1, 3)\n d = randint(1, 5)\n e = choice([-1, 1])\n a = randint(1, 4, d)\n this.question = `Écrire le plus simplement possible : <br>\n $${rienSi1(a)}x^2+${rienSi1(b)}x+${texNombre(c)}+${rienSi1(d)}x^2${signe(e)}x$.`\n\n if (b + e === 0) {\n this.correction = `$${rienSi1(a)}x^2+${rienSi1(b)}x+${texNombre(c)}+${rienSi1(d)}x^2+x=(${a} + ${d})x^2+(${b}${ecritureAlgebrique(e)})x+${texNombre(c)}=${texNombre((a + d))}x^2+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(a + d)}x^2+${texNombre(c)}`)\n } else {\n this.correction = `$${rienSi1(a)}x^2+${rienSi1(b)}x+${texNombre(c)}+${rienSi1(d)}x^2+x=(${a} + ${d})x^2+(${b}${ecritureAlgebrique(e)})x+${texNombre(c)}=${texNombre((a + d))}x^2+${texNombre((b + e))}x+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(a + d)}x^2+${texNombre(b + e)}x+${texNombre(c)}`)\n }\n }\n if (choix === 2) {\n b = randint(-5, -2)\n c = randint(1, 5)\n d = randint(-5, -2)\n e = choice([-1, 1])\n a = randint(-5, 5, 0)\n this.question = `Écrire le plus simplement possible : <br>\n $${rienSi1(a)}x^2${ecritureAlgebrique(b)}x${ecritureAlgebrique(c)}${ecritureAlgebrique(d)}x^2${signe(e)}x$.`\n\n if (a + d === 0) {\n this.correction = `$${rienSi1(a)}x^2${ecritureAlgebrique(b)}x${ecritureAlgebrique(c)}${ecritureAlgebrique(d)}x^2+x=\n (${a}${ecritureAlgebrique(d)})x^2+(${b}${ecritureAlgebrique(e)})x${ecritureAlgebrique(c)}=\n ${ecritureAlgebrique(b + e)}x+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(b + e)}x+${texNombre(c)}`)\n } else {\n this.correction = `$${rienSi1(a)}x^2${ecritureAlgebrique(b)}x${ecritureAlgebrique(c)}${ecritureAlgebrique(d)}x^2+x=\n (${a}${ecritureAlgebrique(d)})x^2+(${b}${ecritureAlgebrique(e)})x${ecritureAlgebrique(c)}=\n ${rienSi1(a + d)}x^2${ecritureAlgebrique(b + e)}x+${texNombre(c)}$`\n this.reponse = printlatex(`${texNombre(a + d)}x^2${texNombre(b + e)}x+${texNombre(c)}`)\n }\n }\n\n break\n\n case 3: // ax*bx ou ax*b\n choix = choice([1, 2])// 1,2\n if (choix === 1) {\n a = randint(-9, 9, 0)\n b = randint(-9, 9, [0, -1, 1])\n if (b > 0) {\n this.question = `Écrire le plus simplement possible : <br> \n $${rienSi1(a)}x\\\\times${b}x$.`\n } else { this.question = `Écrire le plus simplement possible : <br>$${rienSi1(a)}x\\\\times(${b}x)$.` }\n if (b > 0) { this.correction = `$${rienSi1(a)}x\\\\times${b}x=(${texNombre(a)}\\\\times ${ecritureParentheseSiNegatif(b)})x^2=${texNombre(a * b)}x^2$` } else { this.correction = `$${rienSi1(a)}x\\\\times (${b}x)=(${texNombre(a)}\\\\times ${ecritureParentheseSiNegatif(b)})x^2=${texNombre((a * b))}x^2$` }\n this.reponse = printlatex(`${texNombre(a * b)}x^2`)\n }\n if (choix === 2) {\n a = randint(-9, 9, 0)\n b = randint(-9, 9, [0, -1, 1])\n this.question = `Écrire le plus simplement possible : <br>\n $${rienSi1(a)}x\\\\times${ecritureParentheseSiNegatif(b)}$.`\n this.correction = `$${rienSi1(a)}x\\\\times${ecritureParentheseSiNegatif(b)}=${texNombre(a * b)}x$`\n this.reponse = printlatex(`${texNombre((a * b))}x`)\n }\n break\n }\n this.canEnonce = this.question// 'Compléter'\n this.canReponseACompleter = ''\n 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