{"version":3,"file":"can4L05-IEWt1UBp.js","sources":["../../src/exercices/can/4e/can4L05.js"],"sourcesContent":["import { choice } from '../../../lib/outils/arrayOutils'\nimport { ecritureAlgebrique, ecritureParentheseSiNegatif } from '../../../lib/outils/ecritures'\nimport { signe } from '../../../lib/outils/nombres'\nimport { randint } from '../../../modules/outils.js'\nimport Exercice from '../../deprecatedExercice.js'\nexport const titre = 'Développer avec la simple distributivité'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const amcReady = true\nexport const amcType = 'AMCNum'\n\n/*!\n * @author Gilles Mora\n */\nexport const uuid = '56a2d'\nexport const ref = 'can4L05'\nexport default function DeveloppementNiveau1 () {\n  Exercice.call(this)\n  this.typeExercice = 'simple'\n  this.nbQuestions = 1\n  this.tailleDiaporama = 2\n  this.date = 1635092507483\n  this.nouvelleVersion = function () {\n    this.formatChampTexte = 'largeur15 inline'\n    let a, b, k, inconnue\n    switch (randint(1, 2)) {\n      case 1:// developpement k*(a+b)\n        a = randint(1, 4)\n        b = randint(1, 9) * choice([-1, 1])\n        k = randint(2, 7) * choice([-1, 1])\n        inconnue = choice(['x', 'y'])\n        if (a === 1) {\n          // ne pas écrire 1x\n          this.question = `Développer $A=(${inconnue}${ecritureAlgebrique(b)})\\\\times${ecritureParentheseSiNegatif(k)}$.`\n          this.correction = ` $A=(${inconnue}${ecritureAlgebrique(b)})\\\\times${ecritureParentheseSiNegatif(k)}=${k}\\\\times ${inconnue}+${ecritureParentheseSiNegatif(k)}\\\\times${ecritureParentheseSiNegatif(b)}=${k * a}${inconnue}${ecritureAlgebrique(k * b)}$`\n          this.reponse = `${k * a}${inconnue}${ecritureAlgebrique(k * b)}`\n        } else {\n          this.question = `Développer $A=(${a}${inconnue}${ecritureAlgebrique(b)})\\\\times${ecritureParentheseSiNegatif(k)}$.`\n          this.correction = `$A=(${a}${inconnue}${ecritureAlgebrique(b)})\\\\times${ecritureParentheseSiNegatif(k)}=${k}\\\\times ${a}${inconnue}+${ecritureParentheseSiNegatif(k)}\\\\times${ecritureParentheseSiNegatif(b)}=${k * a}${inconnue}${ecritureAlgebrique(k * b)}$`\n          this.reponse = `${k * a}${inconnue}${ecritureAlgebrique(k * b)}`\n        }\n        break\n\n      case 2:// developpement kx*(a+b)\n        a = randint(1, 4)\n        b = randint(1, 9) * choice([-1, 1])\n        k = randint(2, 7) * choice([-1, 1])\n        inconnue = choice(['x', 'y'])\n        if (a === 1) {\n          // ne pas écrire 1x\n          this.question = `Développer $A=${k}${inconnue}(${inconnue}${ecritureAlgebrique(b)})$.`\n          this.correction = `$A=${k}${inconnue}(${inconnue}${ecritureAlgebrique(b)})=${k}${inconnue}\\\\times ${inconnue} ${signe(k * b)}${k}${inconnue}\\\\times ${Math.abs(b)}=${k * a}${inconnue}^2${ecritureAlgebrique(k * b)}${inconnue}$`\n          this.reponse = `${k * a}${inconnue}^2${ecritureAlgebrique(k * b)}${inconnue}`\n        } else {\n          this.question = `Développer $A=${k}${inconnue}(${a}${inconnue}${ecritureAlgebrique(b)})$.`\n          if (k > 0) {\n            this.correction = `$A=${k}${inconnue}(${a}${inconnue}${ecritureAlgebrique(b)})=${k}${inconnue}\\\\times ${a}${inconnue} + ${k}${inconnue}\\\\times ${ecritureParentheseSiNegatif(b)}=${k * a}${inconnue}^2${ecritureAlgebrique(k * b)}${inconnue}$`\n            this.reponse = `${k * a}${inconnue}^2${ecritureAlgebrique(k * b)}${inconnue}`\n          } else {\n            this.correction = `$A=${k}${inconnue}(${a}${inconnue}${ecritureAlgebrique(b)})=${k}${inconnue}\\\\times ${a}${inconnue} + (${k}${inconnue})\\\\times ${ecritureParentheseSiNegatif(b)}=${k * a}${inconnue}^2${ecritureAlgebrique(k * b)}${inconnue}$`\n            this.reponse = `${k * a}${inconnue}^2${ecritureAlgebrique(k * b)}${inconnue}`\n          }\n        }\n        break\n    }\n    this.canEnonce = this.question// 'Compléter'\n    this.canReponseACompleter = ''\n  }\n}\n"],"names":["titre","interactifReady","interactifType","amcReady","amcType","uuid","ref","DeveloppementNiveau1","Exercice","a","b","k","inconnue","randint","choice","ecritureAlgebrique","ecritureParentheseSiNegatif","signe"],"mappings":"4EAKY,MAACA,EAAQ,2CACRC,EAAkB,GAClBC,EAAiB,WACjBC,EAAW,GACXC,EAAU,SAEvB;AAAA;AAAA,GAGY,MAACC,EAAO,QACPC,EAAM,UACJ,SAASC,GAAwB,CAC9CC,EAAS,KAAK,IAAI,EAClB,KAAK,aAAe,SACpB,KAAK,YAAc,EACnB,KAAK,gBAAkB,EACvB,KAAK,KAAO,cACZ,KAAK,gBAAkB,UAAY,CACjC,KAAK,iBAAmB,mBACxB,IAAIC,EAAGC,EAAGC,EAAGC,EACb,OAAQC,EAAQ,EAAG,CAAC,EAAC,CACnB,IAAK,GACHJ,EAAII,EAAQ,EAAG,CAAC,EAChBH,EAAIG,EAAQ,EAAG,CAAC,EAAIC,EAAO,CAAC,GAAI,CAAC,CAAC,EAClCH,EAAIE,EAAQ,EAAG,CAAC,EAAIC,EAAO,CAAC,GAAI,CAAC,CAAC,EAClCF,EAAWE,EAAO,CAAC,IAAK,GAAG,CAAC,EACxBL,IAAM,GAER,KAAK,SAAW,kBAAkBG,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,WAAWM,EAA4BL,CAAC,CAAC,KAC3G,KAAK,WAAa,QAAQC,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,WAAWM,EAA4BL,CAAC,CAAC,IAAIA,CAAC,WAAWC,CAAQ,IAAII,EAA4BL,CAAC,CAAC,UAAUK,EAA4BN,CAAC,CAAC,IAAIC,EAAIF,CAAC,GAAGG,CAAQ,GAAGG,EAAmBJ,EAAID,CAAC,CAAC,IACrP,KAAK,QAAU,GAAGC,EAAIF,CAAC,GAAGG,CAAQ,GAAGG,EAAmBJ,EAAID,CAAC,CAAC,KAE9D,KAAK,SAAW,kBAAkBD,CAAC,GAAGG,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,WAAWM,EAA4BL,CAAC,CAAC,KAC/G,KAAK,WAAa,OAAOF,CAAC,GAAGG,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,WAAWM,EAA4BL,CAAC,CAAC,IAAIA,CAAC,WAAWF,CAAC,GAAGG,CAAQ,IAAII,EAA4BL,CAAC,CAAC,UAAUK,EAA4BN,CAAC,CAAC,IAAIC,EAAIF,CAAC,GAAGG,CAAQ,GAAGG,EAAmBJ,EAAID,CAAC,CAAC,IAC5P,KAAK,QAAU,GAAGC,EAAIF,CAAC,GAAGG,CAAQ,GAAGG,EAAmBJ,EAAID,CAAC,CAAC,IAEhE,MAEF,IAAK,GACHD,EAAII,EAAQ,EAAG,CAAC,EAChBH,EAAIG,EAAQ,EAAG,CAAC,EAAIC,EAAO,CAAC,GAAI,CAAC,CAAC,EAClCH,EAAIE,EAAQ,EAAG,CAAC,EAAIC,EAAO,CAAC,GAAI,CAAC,CAAC,EAClCF,EAAWE,EAAO,CAAC,IAAK,GAAG,CAAC,EACxBL,IAAM,GAER,KAAK,SAAW,iBAAiBE,CAAC,GAAGC,CAAQ,IAAIA,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,MACjF,KAAK,WAAa,MAAMC,CAAC,GAAGC,CAAQ,IAAIA,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,KAAKC,CAAC,GAAGC,CAAQ,WAAWA,CAAQ,IAAIK,EAAMN,EAAID,CAAC,CAAC,GAAGC,CAAC,GAAGC,CAAQ,WAAW,KAAK,IAAIF,CAAC,CAAC,IAAIC,EAAIF,CAAC,GAAGG,CAAQ,KAAKG,EAAmBJ,EAAID,CAAC,CAAC,GAAGE,CAAQ,IAC9N,KAAK,QAAU,GAAGD,EAAIF,CAAC,GAAGG,CAAQ,KAAKG,EAAmBJ,EAAID,CAAC,CAAC,GAAGE,CAAQ,KAE3E,KAAK,SAAW,iBAAiBD,CAAC,GAAGC,CAAQ,IAAIH,CAAC,GAAGG,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,MACjFC,EAAI,GACN,KAAK,WAAa,MAAMA,CAAC,GAAGC,CAAQ,IAAIH,CAAC,GAAGG,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,KAAKC,CAAC,GAAGC,CAAQ,WAAWH,CAAC,GAAGG,CAAQ,MAAMD,CAAC,GAAGC,CAAQ,WAAWI,EAA4BN,CAAC,CAAC,IAAIC,EAAIF,CAAC,GAAGG,CAAQ,KAAKG,EAAmBJ,EAAID,CAAC,CAAC,GAAGE,CAAQ,IAC5O,KAAK,QAAU,GAAGD,EAAIF,CAAC,GAAGG,CAAQ,KAAKG,EAAmBJ,EAAID,CAAC,CAAC,GAAGE,CAAQ,KAE3E,KAAK,WAAa,MAAMD,CAAC,GAAGC,CAAQ,IAAIH,CAAC,GAAGG,CAAQ,GAAGG,EAAmBL,CAAC,CAAC,KAAKC,CAAC,GAAGC,CAAQ,WAAWH,CAAC,GAAGG,CAAQ,OAAOD,CAAC,GAAGC,CAAQ,YAAYI,EAA4BN,CAAC,CAAC,IAAIC,EAAIF,CAAC,GAAGG,CAAQ,KAAKG,EAAmBJ,EAAID,CAAC,CAAC,GAAGE,CAAQ,IAC9O,KAAK,QAAU,GAAGD,EAAIF,CAAC,GAAGG,CAAQ,KAAKG,EAAmBJ,EAAID,CAAC,CAAC,GAAGE,CAAQ,KAG/E,KACH,CACD,KAAK,UAAY,KAAK,SACtB,KAAK,qBAAuB,EAC7B,CACH"}