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{"version":3,"file":"can2C13-nWX5DKU5.js","sources":["../../src/exercices/can/2e/can2C13.js"],"sourcesContent":["import { choice } from '../../../lib/outils/arrayOutils'\nimport { ecritureParentheseSiNegatif } from '../../../lib/outils/ecritures.js'\nimport { miseEnEvidence } from '../../../lib/outils/embellissements'\nimport Exercice from '../../Exercice.js'\nimport { randint } from '../../../modules/outils.js'\nexport const titre = 'Calculer avec des puissances'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const amcReady = true\nexport const amcType = 'AMCNum'\nexport const dateDePublication = '15/09/2022' // La date de publication initiale 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 Gille Mora\n *\n*/\n\nexport const uuid = 'b31eb'\nexport const ref = 'can2C13'\nexport default function CalculPuissancesOperation () {\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 let a, b, n, p, s\n switch (choice(['a', 'b', 'c', 'd', 'e'])) { //, 'b', 'c', 'd', 'e', 'f'\n case 'a':\n a = randint(-9, 9, [0, 1, -1])\n n = randint(-9, 9, [0, 1, -1])\n p = randint(-9, 9, [0, 1, -1])\n s = n + p\n this.question = `Écrire sous la forme $a^n$ où $a$ et $n$ sont des entiers relatifs. <br>\n $${ecritureParentheseSiNegatif(a)}^{${n}}\\\\times ${ecritureParentheseSiNegatif(a)}^{${p}}$`\n this.correction = `On utilise la formule $a^n\\\\times a^m=a^{n+m}$ avec $a=${a}$, $n=${n}$ et $p=${p}$.<br>\n $${ecritureParentheseSiNegatif(a)}^{${n}}\\\\times ${ecritureParentheseSiNegatif(a)}^{${p}}=${ecritureParentheseSiNegatif(a)}^{${n}+${ecritureParentheseSiNegatif(p)}}=${miseEnEvidence(`${ecritureParentheseSiNegatif(a)}^{${n + p}}`)}$\n `\n this.reponse = `${ecritureParentheseSiNegatif(a)}^{${n + p}}`\n\n break\n case 'b':\n a = randint(-9, 9, [0, 1, -1])\n b = randint(-9, 9, [0, 1, -1])\n n = randint(-9, 9, [0, 1, -1])\n p = a * b\n this.question = `Écrire sous la forme $a^n$ où $a$ et $n$ sont des entiers relatifs. <br>\n $${ecritureParentheseSiNegatif(a)}^{${n}}\\\\times ${ecritureParentheseSiNegatif(b)}^{${n}}$`\n this.correction = `On utilise la formule $a^n\\\\times b^n=(a\\\\times b)^{n}$\n avec $a=${a}$, $b=${b}$ et $n=${n}$.<br>\n $${ecritureParentheseSiNegatif(a)}^{${n}}\\\\times ${ecritureParentheseSiNegatif(b)}^{${n}}=(${ecritureParentheseSiNegatif(a)}\\\\times ${ecritureParentheseSiNegatif(b)})^{${n}}=${miseEnEvidence(`${ecritureParentheseSiNegatif(p)}^{${n}}`)}$\n `\n this.reponse = `${ecritureParentheseSiNegatif(p)}^{${n}}`\n break\n\n case 'c':\n a = randint(-9, 9, [0, 1, -1])\n p = randint(-9, 9, [0, 1])\n n = randint(-9, 9, [0, 1, -1])\n s = n * p\n this.question = `Écrire sous la forme $a^n$ où $a$ et $n$ sont des entiers relatifs. <br>\n $\\\\left(${ecritureParentheseSiNegatif(a)}^{${n}}\\\\right)^{${p}}$`\n this.correction = `On utilise la formule $\\\\left(a^n\\\\right)^p=a^{n\\\\times p}$\n avec $a=${a}$, $n=${n}$ et $p=${p}$.<br>\n $\\\\left(${ecritureParentheseSiNegatif(a)}^{${n}}\\\\right)^{${p}}=${ecritureParentheseSiNegatif(a)}^{${n}\\\\times ${ecritureParentheseSiNegatif(p)}}=${miseEnEvidence(`${ecritureParentheseSiNegatif(a)}^{${n * p}}`)}$\n `\n this.reponse = `${ecritureParentheseSiNegatif(a)}^{${s}}`\n break\n\n case 'd':\n a = randint(-9, 9, [0, 1, -1])\n p = randint(-9, 9, [0, 1])\n n = randint(-9, 9, [0, 1, -1])\n s = n - p\n this.question = `Écrire sous la forme $a^n$ où $a$ et $n$ sont des entiers relatifs. <br>\n $\\\\dfrac{${ecritureParentheseSiNegatif(a)}^{${n}}}{${ecritureParentheseSiNegatif(a)}^{${p}}}$`\n this.correction = `On utilise la formule $\\\\dfrac{a^n}{a^p}=a^{n-p}$ avec $a=${a}$, $n=${n}$ et $p=${p}$.<br>\n $\\\\dfrac{${ecritureParentheseSiNegatif(a)}^{${n}}}{${ecritureParentheseSiNegatif(a)}^{${p}}}=${ecritureParentheseSiNegatif(a)}^{${n}- ${ecritureParentheseSiNegatif(p)}}=${miseEnEvidence(`${ecritureParentheseSiNegatif(a)}^{${n - p}}`)}$\n `\n this.reponse = `${ecritureParentheseSiNegatif(a)}^{${s}}`\n break\n case 'e':\n\n b = randint(2, 6, [0, 1, -1])\n a = choice([2, 3, 4, 5, 6, 7]) * b\n n = randint(-9, 9, [0, 1, -1])\n s = a / b\n this.question = `Écrire sous la forme $a^n$ où $a$ et $n$ sont des entiers relatifs. <br>\n $\\\\dfrac{${ecritureParentheseSiNegatif(a)}^{${n}}}{${ecritureParentheseSiNegatif(b)}^{${n}}}$`\n this.correction = `On utilise la formule $\\\\dfrac{a^n}{b^n}=\\\\left(\\\\dfrac{a}{b}\\\\right)^{n}$ avec\n $a=${a}$, $b=${b}$ et $n=${n}$.<br>\n $\\\\dfrac{${ecritureParentheseSiNegatif(a)}^{${n}}}{${ecritureParentheseSiNegatif(b)}^{${n}}}=\\\\left(\\\\dfrac{${ecritureParentheseSiNegatif(a)}}{${ecritureParentheseSiNegatif(b)}}\\\\right)^{${n}}=${miseEnEvidence(`${s}^{${n}}`)}$\n `\n this.reponse = `${s}^{${n}}`\n break\n }\n this.canEnonce = this.question// 'Compléter'\n this.canReponseACompleter = ''\n }\n}\n"],"names":["titre","interactifReady","interactifType","amcReady","amcType","dateDePublication","uuid","ref","CalculPuissancesOperation","Exercice","a","b","n","p","s","choice","randint","ecritureParentheseSiNegatif","miseEnEvidence"],"mappings":"oEAKY,MAACA,EAAQ,gCACRC,EAAkB,GAClBC,EAAiB,WACjBC,EAAW,GACXC,EAAU,SACVC,EAAoB,aAQpBC,EAAO,QACPC,EAAM,UACJ,SAASC,GAA6B,CACnDC,EAAS,KAAK,IAAI,EAClB,KAAK,aAAe,SACpB,KAAK,YAAc,EACnB,KAAK,gBAAkB,EACvB,KAAK,iBAAmB,mBACxB,KAAK,gBAAkB,UAAY,CACjC,IAAIC,EAAGC,EAAGC,EAAGC,EAAGC,EAChB,OAAQC,EAAO,CAAC,IAAK,IAAK,IAAK,IAAK,GAAG,CAAC,EAAC,CACvC,IAAK,IACHL,EAAIM,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BJ,EAAII,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BH,EAAIG,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BF,EAAIF,EAAIC,EACR,KAAK,SAAW;AAAA,WACbI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,YAAYK,EAA4BP,CAAC,CAAC,KAAKG,CAAC,KACvF,KAAK,WAAa,0DAA0DH,CAAC,SAASE,CAAC,WAAWC,CAAC;AAAA,WAChGI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,YAAYK,EAA4BP,CAAC,CAAC,KAAKG,CAAC,KAAKI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,IAAIK,EAA4BJ,CAAC,CAAC,KAAKK,EAAe,GAAGD,EAA4BP,CAAC,CAAC,KAAKE,EAAIC,CAAC,GAAG,CAAC;AAAA,UAErO,KAAK,QAAU,GAAGI,EAA4BP,CAAC,CAAC,KAAKE,EAAIC,CAAC,IAE1D,MACF,IAAK,IACHH,EAAIM,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BL,EAAIK,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BJ,EAAII,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BH,EAAIH,EAAIC,EACR,KAAK,SAAW;AAAA,WACbM,EAA4BP,CAAC,CAAC,KAAKE,CAAC,YAAYK,EAA4BN,CAAC,CAAC,KAAKC,CAAC,KACvF,KAAK,WAAa;AAAA,kBACRF,CAAC,UAAUC,CAAC,WAAWC,CAAC;AAAA,WAC/BK,EAA4BP,CAAC,CAAC,KAAKE,CAAC,YAAYK,EAA4BN,CAAC,CAAC,KAAKC,CAAC,MAAMK,EAA4BP,CAAC,CAAC,WAAWO,EAA4BN,CAAC,CAAC,MAAMC,CAAC,KAAKM,EAAe,GAAGD,EAA4BJ,CAAC,CAAC,KAAKD,CAAC,GAAG,CAAC;AAAA,UAE1O,KAAK,QAAU,GAAGK,EAA4BJ,CAAC,CAAC,KAAKD,CAAC,IACtD,MAEF,IAAK,IACHF,EAAIM,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BH,EAAIG,EAAQ,GAAI,EAAG,CAAC,EAAG,CAAC,CAAC,EACzBJ,EAAII,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BF,EAAIF,EAAIC,EACR,KAAK,SAAW;AAAA,kBACNI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,cAAcC,CAAC,KAC7D,KAAK,WAAa;AAAA,kBACRH,CAAC,UAAUE,CAAC,WAAWC,CAAC;AAAA,kBACxBI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,cAAcC,CAAC,KAAKI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,WAAWK,EAA4BJ,CAAC,CAAC,KAAKK,EAAe,GAAGD,EAA4BP,CAAC,CAAC,KAAKE,EAAIC,CAAC,GAAG,CAAC;AAAA,UAElN,KAAK,QAAU,GAAGI,EAA4BP,CAAC,CAAC,KAAKI,CAAC,IACtD,MAEF,IAAK,IACHJ,EAAIM,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BH,EAAIG,EAAQ,GAAI,EAAG,CAAC,EAAG,CAAC,CAAC,EACzBJ,EAAII,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BF,EAAIF,EAAIC,EACR,KAAK,SAAW;AAAA,mBACLI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,MAAMK,EAA4BP,CAAC,CAAC,KAAKG,CAAC,MACzF,KAAK,WAAa,6DAA6DH,CAAC,UAAUE,CAAC,WAAWC,CAAC;AAAA,mBAC5FI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,MAAMK,EAA4BP,CAAC,CAAC,KAAKG,CAAC,MAAMI,EAA4BP,CAAC,CAAC,KAAKE,CAAC,KAAKK,EAA4BJ,CAAC,CAAC,KAAKK,EAAe,GAAGD,EAA4BP,CAAC,CAAC,KAAKE,EAAIC,CAAC,GAAG,CAAC;AAAA,UAEzO,KAAK,QAAU,GAAGI,EAA4BP,CAAC,CAAC,KAAKI,CAAC,IACtD,MACF,IAAK,IAEHH,EAAIK,EAAQ,EAAG,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC5BN,EAAIK,EAAO,CAAC,EAAG,EAAG,EAAG,EAAG,EAAG,CAAC,CAAC,EAAIJ,EACjCC,EAAII,EAAQ,GAAI,EAAG,CAAC,EAAG,EAAG,EAAE,CAAC,EAC7BF,EAAIJ,EAAIC,EACR,KAAK,SAAW;AAAA,mBACLM,EAA4BP,CAAC,CAAC,KAAKE,CAAC,MAAMK,EAA4BN,CAAC,CAAC,KAAKC,CAAC,MACzF,KAAK,WAAa;AAAA,aACbF,CAAC,UAAUC,CAAC,WAAWC,CAAC;AAAA,mBAClBK,EAA4BP,CAAC,CAAC,KAAKE,CAAC,MAAMK,EAA4BN,CAAC,CAAC,KAAKC,CAAC,qBAAqBK,EAA4BP,CAAC,CAAC,KAAKO,EAA4BN,CAAC,CAAC,cAAcC,CAAC,KAAKM,EAAe,GAAGJ,CAAC,KAAKF,CAAC,GAAG,CAAC;AAAA,UAEhO,KAAK,QAAU,GAAGE,CAAC,KAAKF,CAAC,IACzB,KACH,CACD,KAAK,UAAY,KAAK,SACtB,KAAK,qBAAuB,EAC7B,CACH"}