{"version":3,"file":"4C30-1-eOdJZC8R.js","sources":["../../src/exercices/4e/4C30-1.js"],"sourcesContent":["import { choice } from '../../lib/outils/arrayOutils'\nimport { sp } from '../../lib/outils/outilString.js'\nimport { texNombre } from '../../lib/outils/texNombre'\nimport Exercice from '../deprecatedExercice.js'\nimport { gestionnaireFormulaireTexte, listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { ajouteChampTexteMathLive } from '../../lib/interactif/questionMathLive.js'\nimport { setReponse } from '../../lib/interactif/gestionInteractif.js'\nimport { miseEnEvidence } from '../../lib/outils/embellissements'\nimport { context } from '../../modules/context.js'\n\nexport const dateDeModifImportante = '05/09/2023'\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const amcReady = true\nexport const amcType = 'AMCHybride'\nexport const titre = 'Framing positive numbers with powers of 10'\n\n/**\n * Encadrer par des puissances de 10\n * @author Sébastien Lozano (Modifications apportées par Eric Elter)\n */\nexport const uuid = '760d7'\nexport const ref = '4C30-1'\nexport default function PuissancesEncadrement () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.sup = 4\n  this.nbQuestions = 5\n\n  this.nbCols = 1\n  this.nbColsCorr = 1\n  this.classe = 4 // Ce distinguo permet de supprimer les 10^0 du niveau 4ème\n  this.nouvelleVersion = function () {\n    const listeTypeDeQuestions = []\n    let signeChange\n    this.consigne = this.nbQuestions === 1\n      ? 'Enclose the following number by two powers of 10 of consecutive exponents.'\n      : 'Enclose the following numbers by two powers of 10 of consecutive exponents.'\n\n    signeChange = this.level === 2\n\n    const typeDeQuestions = gestionnaireFormulaireTexte({\n      saisie: this.sup,\n      min: 1,\n      max: this.classe === 4 ? 3 : 4,\n      melange: this.classe === 4 ? 4 : 5,\n      defaut: 1,\n      nbQuestions: this.nbQuestions\n    })\n    for (let ee = 0; ee < this.nbQuestions; ee++) {\n      switch (typeDeQuestions[ee]) {\n        case 1: // nombre enier positif\n          listeTypeDeQuestions.push(choice(this.classe === 2 ? [1, 2, 3, 4, 5, 6] : [1, 2, 3, 4, 5]))\n          break\n        case 2: // nombre décimal positif\n          listeTypeDeQuestions.push(choice(this.classe === 2 ? [7, 8, 9, 10] : [7, 8, 9]))\n          break\n        case 3: // nombre décimal positif inférieur à 1\n          listeTypeDeQuestions.push(choice(this.classe === 2 ? [11, 12, 13, 14] : [11, 12, 13]))\n          break\n        case 4: // Mélange\n          listeTypeDeQuestions.push(choice([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14]))\n          signeChange = true\n          break\n      }\n    }\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = []\n\n    for (\n      let i = 0, signe, texte, texteCorr, consigneAMC, exposantInf, exposantSup, cpt = 0;\n      i < this.nbQuestions && cpt < 50;\n    ) {\n      // positive integer, between 1 and 10, then 10 and 100 then ....100,000 and 1,000,000\n      const entPos = []\n\n      for (let j = this.classe === 2 ? 0 : 1; j < 6; j++) {\n        signe = signeChange ? choice([-1, 1]) : 1\n        entPos.push({\n          val: `${texNombre(signe * randint(10 ** j + 1, 10 ** (j + 1) - 1), 0)}`,\n          exposantInf: signe === 1 ? j : j + 1,\n          exposantSup: signe === 1 ? j + 1 : j,\n          puissance_inf: signe === 1 ? `10^{${j}}` : `-10^{${j + 1}}`,\n          puissance_sup: signe === 1 ? `10^{${j + 1}}` : `-10^{${j}}`,\n          puissance_inf_num: signe === 1 ? `${texNombre(10 ** j, 0)}` : `${texNombre(-1 * 10 ** (j + 1), 0)}`,\n          puissance_sup_num: signe === 1 ? `${texNombre(10 ** (j + 1), 0)}` : `${texNombre(-1 * 10 ** j, 0)}`\n        })\n      }\n\n      // positive decimal number between 1 and 10,000 with 1,2,3 then 4 decimal places\n      const decPos = []\n      for (let j = this.classe === 2 ? 0 : 1; j < 4; j++) {\n        signe = signeChange ? choice([-1, 1]) : 1\n        decPos.push({\n          val: `${texNombre(signe * randint(10001, 99999) / 10 ** (4 - j), 4)}`,\n          exposantInf: signe === 1 ? j : j + 1,\n          exposantSup: signe === 1 ? j + 1 : j,\n          puissance_inf: signe === 1 ? `10^{${j}}` : `-10^{${j + 1}}`,\n          puissance_sup: signe === 1 ? `10^{${j + 1}}` : `-10^{${j}}`,\n          puissance_inf_num: signe === 1 ? `${texNombre(10 ** j, 0)}` : `${texNombre(-1 * 10 ** (j + 1), 0)}`,\n          puissance_sup_num: signe === 1 ? `${texNombre(10 ** (j + 1), 0)}` : `${texNombre(-1 * 10 ** j, 0)}`\n        })\n      }\n      // positive decimal number less than 1, between 0.1 and 1 then between 0.01 and 0.1 then 0.001 and 0.0001\n      const decPosInfUn = []\n      for (let j = this.classe === 2 ? 0 : 1; j < 4; j++) {\n        signe = signeChange ? choice([-1, 1]) : 1\n        decPosInfUn.push({\n          val: `${texNombre(signe * randint(10 ** (4 - j - 1) + 1, 10 ** (4 - j) - 1) / 10000, 4)}`,\n          exposantInf: signe === 1 ? -j - 1 : -j,\n          exposantSup: signe === 1 ? -j : -j - 1,\n          puissance_inf: signe === 1 ? `10^{${-(j + 1)}}` : `-10^{${-j}}`,\n          puissance_sup: signe === 1 ? `10^{${-j}}` : `-10^{${-(j + 1)}}`,\n          puissance_inf_num: signe === 1 ? `${texNombre(10 ** -(j + 1), 4)}` : `${texNombre(-1 * 10 ** -j, 4)}`,\n          puissance_sup_num: signe === 1 ? `${texNombre(10 ** -j, 3)}` : `${texNombre(-1 * 10 ** -(j + 1), 4)}`\n        })\n      }\n      if (listeTypeDeQuestions[i] < 7) { // nombre entier positif\n        consigneAMC = `$\\\\dots\\\\dots\\\\dots${sp(1)}\\\\leqslant ${entPos[listeTypeDeQuestions[i] - 1].val}\\\\leqslant${sp(1)}\\\\dots\\\\dots\\\\dots$`\n        texte = this.interactif\n          ? ajouteChampTexteMathLive(this, 2 * i, 'largeur15 inline', { texteApres: sp(10) }) + `$\\\\leqslant ${entPos[listeTypeDeQuestions[i] - 1].val}\\\\leqslant $` + ajouteChampTexteMathLive(this, 2 * i + 1, 'largeur15 inline')\n          : consigneAMC\n        exposantInf = entPos[listeTypeDeQuestions[i] - 1].exposantInf\n        exposantSup = entPos[listeTypeDeQuestions[i] - 1].exposantSup\n        setReponse(this, 2 * i, entPos[listeTypeDeQuestions[i] - 1].puissance_inf, { formatInteractif: 'power' })\n        setReponse(this, 2 * i + 1, entPos[listeTypeDeQuestions[i] - 1].puissance_sup, { formatInteractif: 'power' })\n        texteCorr = `$${miseEnEvidence(entPos[listeTypeDeQuestions[i] - 1].puissance_inf)} \\\\leqslant ${entPos[listeTypeDeQuestions[i] - 1].val} \\\\leqslant ${miseEnEvidence(entPos[listeTypeDeQuestions[i] - 1].puissance_sup)}$`\n        texteCorr += ` because $${entPos[listeTypeDeQuestions[i] - 1].puissance_inf} = ${entPos[listeTypeDeQuestions[i] - 1].puissance_inf_num}$ and $${entPos[listeTypeDeQuestions[i] - 1].puissance_sup} = ${entPos[listeTypeDeQuestions[i] - 1].puissance_sup_num}.$`\n      } else if (listeTypeDeQuestions[i] < 11) { // nombre décimal positif\n        consigneAMC = `$\\\\dots\\\\dots\\\\dots${sp(1)}\\\\leqslant ${decPos[listeTypeDeQuestions[i] - 7].val}\\\\leqslant${sp(1)}\\\\dots\\\\dots\\\\dots$`\n        texte = this.interactif\n          ? ajouteChampTexteMathLive(this, 2 * i, 'largeur15 inline', { texteApres: sp(10) }) + `$\\\\leqslant ${decPos[listeTypeDeQuestions[i] - 7].val}\\\\leqslant $` + ajouteChampTexteMathLive(this, 2 * i + 1, 'largeur15 inline')\n          : consigneAMC\n        exposantInf = decPos[listeTypeDeQuestions[i] - 7].exposantInf\n        exposantSup = decPos[listeTypeDeQuestions[i] - 7].exposantSup\n        setReponse(this, 2 * i, decPos[listeTypeDeQuestions[i] - 7].puissance_inf, { formatInteractif: 'power' })\n        setReponse(this, 2 * i + 1, decPos[listeTypeDeQuestions[i] - 7].puissance_sup, { formatInteractif: 'power' })\n        texteCorr = `$${miseEnEvidence(decPos[listeTypeDeQuestions[i] - 7].puissance_inf)} \\\\leqslant ${decPos[listeTypeDeQuestions[i] - 7].val} \\\\leqslant ${miseEnEvidence(decPos[listeTypeDeQuestions[i] - 7].puissance_sup)}$`\n        texteCorr += ` because $${decPos[listeTypeDeQuestions[i] - 7].puissance_inf} = ${decPos[listeTypeDeQuestions[i] - 7].puissance_inf_num}$ and $${decPos[listeTypeDeQuestions[i] - 7].puissance_sup} = ${decPos[listeTypeDeQuestions[i] - 7].puissance_sup_num}.$`\n      } else { // nombre décimal positif inferieur à 1\n        consigneAMC = `$\\\\dots\\\\dots\\\\dots${sp(1)}\\\\leqslant ${decPosInfUn[listeTypeDeQuestions[i] - 11].val}\\\\leqslant${sp(1)}\\\\dots\\\\dots\\\\dots$`\n        texte = this.interactif\n          ? ajouteChampTexteMathLive(this, 2 * i, 'largeur15 inline', { texteApres: sp(10) }) + `$\\\\leqslant ${decPosInfUn[listeTypeDeQuestions[i] - 11].val}\\\\leqslant $` + ajouteChampTexteMathLive(this, 2 * i + 1, 'largeur15 inline')\n          : consigneAMC\n        exposantInf = decPosInfUn[listeTypeDeQuestions[i] - 11].exposantInf\n        exposantSup = decPosInfUn[listeTypeDeQuestions[i] - 11].exposantSup\n        setReponse(this, 2 * i, decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_inf, { formatInteractif: 'power' })\n        setReponse(this, 2 * i + 1, decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_sup, { formatInteractif: 'power' })\n        texteCorr = `$${miseEnEvidence(decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_inf)} \\\\leqslant ${decPosInfUn[listeTypeDeQuestions[i] - 11].val} \\\\leqslant ${miseEnEvidence(decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_sup)}$`\n        texteCorr += ` because $${decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_inf} = ${decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_inf_num}$ and $${decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_sup} = ${decPosInfUn[listeTypeDeQuestions[i] - 11].puissance_sup_num}.$`\n      }\n      if (context.isAmc) {\n        this.autoCorrection[i] = {\n          enonce: 'Enclose the following number by two powers of 10 of consecutive exponents:' + consigneAMC,\n          enonceAvant: false,\n          enonceApresNumQuestion: true,\n          options: { barreseparation: true },\n          propositions: [\n            {\n              type: 'AMCNum',\n              propositions: [{\n                texte: '',\n                statut: '',\n                multicolsBegin: true,\n                reponse: {\n                  texte: 'Left power of 10 exponent',\n                  valeur: exposantInf,\n                  param: {\n                    signe: true,\n                    approx: 0\n                  }\n                }\n              }]\n            },\n            {\n              type: 'AMCNum',\n              propositions: [{\n                texte: '',\n                statut: '',\n                multicolsEnd: true,\n                reponse: {\n                  texte: 'Exponent of the right power of 10',\n                  valeur: exposantSup,\n                  param: {\n                    signe: true,\n                    approx: 0\n                  }\n                }\n              }]\n            }\n          ]\n        }\n      }\n      if (this.questionJamaisPosee(i, texte)) {\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this)\n  }\n\n  this.besoinFormulaireTexte = [\n    'Difficulty level',\n    'Numbers separated by hyphens\\n1: Natural whole number\\n2: Positive decimal number greater than 1 \\n3: Positive decimal number less than 1\\n4: Combination'\n  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