{"version":3,"file":"can3L03-CPnogm2b.js","sources":["../../src/exercices/can/3e/can3L03.js"],"sourcesContent":["import { ecritureAlgebrique } from '../../../lib/outils/ecritures.js'\nimport { randint } from '../../../modules/outils.js'\nimport Exercice from '../../Exercice.js'\nexport const titre = 'Résoudre une équation du type $ax+b=c$'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const amcReady = true\nexport const amcType = 'AMCNum'\n\n/*!\n * @author Jean-Claude Lhote\n  * Créé pendant l'été 2021\n * Référence can3L03\n*/\nexport const uuid = 'cb6b3'\nexport const ref = 'can3L03'\nexport default function EquationAXPlusBEgalC () {\n  Exercice.call(this)\n  this.typeExercice = 'simple'\n  this.nbQuestions = 1\n  this.tailleDiaporama = 2\n  this.formatChampTexte = 'largeur15 inline'\n  this.nouvelleVersion = function () {\n    const a = randint(-5, 5, [0, -1, 1])\n    this.reponse = randint(-9, 9, [-1, 0, 1])\n    const c = randint(-9, 9, [0])\n    const b = c - a * this.reponse\n    this.question = `Donner la solution de l'équation : <br>$${a}x${ecritureAlgebrique(b)}=${c}$`\n    this.correction = `On procède par étapes successives :<br>\n    On commence par isoler $${a}x$ dans le membre de gauche en ajoutant\n    $${ecritureAlgebrique(-b)}$ dans chacun des membres, puis on divise\n    par $${a}$ pour obtenir la solution : <br>\n     $\\\\begin{aligned}\n     ${a}x${ecritureAlgebrique(b)}&=${c}\\\\\\\\\n    ${a}x&=${c}${ecritureAlgebrique(-b)}\\\\\\\\\n    ${a}x&=${c - b}\\\\\\\\\n    x&=\\\\dfrac{${c - b}}{${a}}\\\\\\\\\n    x&=${this.reponse}\n    \\\\end{aligned}$<br>\n    La solution de l'équation est : $${this.reponse}$.\n    `\n    this.canEnonce = this.question// 'Compléter'\n    this.canReponseACompleter = ''\n  }\n}\n"],"names":["titre","interactifReady","interactifType","amcReady","amcType","uuid","ref","EquationAXPlusBEgalC","Exercice","a","randint","c","b","ecritureAlgebrique"],"mappings":"sDAGY,MAACA,EAAQ,yCACRC,EAAkB,GAClBC,EAAiB,WACjBC,EAAW,GACXC,EAAU,SAEvB;AAAA;AAAA;AAAA;AAAA,EAKY,MAACC,EAAO,QACPC,EAAM,UACJ,SAASC,GAAwB,CAC9CC,EAAS,KAAK,IAAI,EAClB,KAAK,aAAe,SACpB,KAAK,YAAc,EACnB,KAAK,gBAAkB,EACvB,KAAK,iBAAmB,mBACxB,KAAK,gBAAkB,UAAY,CACjC,MAAMC,EAAIC,EAAQ,GAAI,EAAG,CAAC,EAAG,GAAI,CAAC,CAAC,EACnC,KAAK,QAAUA,EAAQ,GAAI,EAAG,CAAC,GAAI,EAAG,CAAC,CAAC,EACxC,MAAMC,EAAID,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EACtBE,EAAID,EAAIF,EAAI,KAAK,QACvB,KAAK,SAAW,2CAA2CA,CAAC,IAAII,EAAmBD,CAAC,CAAC,IAAID,CAAC,IAC1F,KAAK,WAAa;AAAA,8BACQF,CAAC;AAAA,OACxBI,EAAmB,CAACD,CAAC,CAAC;AAAA,WAClBH,CAAC;AAAA;AAAA,OAELA,CAAC,IAAII,EAAmBD,CAAC,CAAC,KAAKD,CAAC;AAAA,MACjCF,CAAC,MAAME,CAAC,GAAGE,EAAmB,CAACD,CAAC,CAAC;AAAA,MACjCH,CAAC,MAAME,EAAIC,CAAC;AAAA,iBACDD,EAAIC,CAAC,KAAKH,CAAC;AAAA,SACnB,KAAK,OAAO;AAAA;AAAA,uCAEkB,KAAK,OAAO;AAAA,MAE/C,KAAK,UAAY,KAAK,SACtB,KAAK,qBAAuB,EAC7B,CACH"}