{"version":3,"file":"2N32-5-HQdVV8WS.js","sources":["../../src/exercices/2e/2N32-5.js"],"sourcesContent":["import { choice, combinaisonListes } from '../../lib/outils/arrayOutils'\nimport { ecritureAlgebrique, ecritureParentheseSiNegatif } from '../../lib/outils/ecritures'\nimport Exercice from '../deprecatedExercice.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\n\nexport const titre = 'Appliquer la double distributivité avec les racines carrées'\n\n/**\n * 2N32-5, ex 2N12\n * @author Stéphane Guyon\n */\nexport const uuid = '660de'\nexport const ref = '2N32-5'\nexport default function DoubleDistributiviteAvecRacineCarree () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.titre = titre\n  this.consigne = ' Effectuer les calculs suivants.'\n  this.nbQuestions = 5\n  this.nbCols = 2\n  this.nbColsCorr = 2\n\n  this.nouvelleVersion = function () {\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    const typesDeQuestionsDisponibles = [1, 2]; let typesDeQuestions\n    const listeTypeDeQuestions = combinaisonListes(typesDeQuestionsDisponibles, this.nbQuestions)\n    for (let i = 0, texte, texteCorr, a1, a2, a, b1, b2, aa1, bb, aa2, aaa, c1, c2, d1, d2, c, dd, cc1, cc2, dd1, dd2, dd3, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      typesDeQuestions = listeTypeDeQuestions[i]\n      switch (typesDeQuestions) {\n        // Cas par cas, on définit le type de nombres que l'on souhaite\n        // Combien de chiffres ? Quelles valeurs ?\n        case 1:\n          a1 = randint(2, 9) * choice([-1, 1])\n          a = randint(2, 11, [4, 8, 9])\n          b1 = randint(2, 9) * choice([-1, 1])\n          a2 = randint(2, 9)\n          b2 = randint(2, 9) * choice([-1, 1])\n          aa1 = a1 * a2 * a\n          bb = b1 * b2\n          aa2 = a1 * b2 + b1 * a2\n          aaa = aa1 + bb\n          if (aa2 === 0) {\n            b2 = -b2\n            bb = b1 * b2\n            aa2 = a1 * b2 + b1 * a2\n            aaa = aa1 + bb\n          }\n          texte = `$\\\\left(${a1}\\\\sqrt{${a}}${ecritureAlgebrique(b1)}\\\\right)\\\\left(${a2}\\\\sqrt{${a}}${ecritureAlgebrique(b2)}\\\\right)$`\n          texteCorr = `$\\\\left(${a1}\\\\sqrt{${a}}${ecritureAlgebrique(b1)}\\\\right)\\\\left(${a2}\\\\sqrt{${a}}${ecritureAlgebrique(b2)}\\\\right)$<br>\n                    \n                    $=${a1}\\\\sqrt{${a}}\\\\times ${a2}\\\\sqrt{${a}}${ecritureAlgebrique(a1)}\\\\sqrt{${a}} \\\\times ${ecritureParentheseSiNegatif(b2)}\n                    ${ecritureAlgebrique(b1)} \\\\times ${a2}\\\\sqrt{${a}}${ecritureAlgebrique(b1)} \\\\times ${ecritureParentheseSiNegatif(b2)}$<br>\n                    $=${a1}\\\\times ${a}\\\\times ${a2}+ \\\\left( ${a1} \\\\times ${ecritureParentheseSiNegatif(b2)}${ecritureAlgebrique(b1)} \\\\times ${a2}\\\\right)\\\\sqrt{${a}} ${ecritureAlgebrique(bb)}$<br>\n                    $= ${aa1}${ecritureAlgebrique(aa2)} \\\\sqrt{${a}}${ecritureAlgebrique(bb)}$<br>\n                    $=${aa2} \\\\sqrt{${a}}${ecritureAlgebrique(aaa)}$`\n\n          break\n        case 2:\n          c1 = randint(2, 9) * choice([-1, 1])\n          c = randint(2, 11, [4, 8, 9])\n          d1 = randint(2, 9) * choice([-1, 1])\n          d2 = randint(2, 9)\n          c2 = randint(2, 9)\n          cc1 = c1 * d2\n          cc2 = c1 * c2\n          dd = d1 * d2\n          dd1 = d1 * c2\n          dd2 = dd + cc2 * c\n          dd3 = cc1 + dd1\n          texte = `$\\\\left(${c1}\\\\sqrt{${c}}${ecritureAlgebrique(d1)}\\\\right)\\\\left(${d2} ${ecritureAlgebrique(c2)}\\\\sqrt{${c}}\\\\right)$`\n          texteCorr = `$\\\\left(${c1}\\\\sqrt{${c}}${ecritureAlgebrique(d1)}\\\\right)\\\\left(${d2}${ecritureAlgebrique(c2)}\\\\sqrt{${c}}\\\\right)$<br>\n                    $=${c1}\\\\sqrt{${c}}\\\\times ${d2}${ecritureAlgebrique(c1)}\\\\sqrt{${c}} \\\\times ${ecritureParentheseSiNegatif(c2)}\\\\sqrt{${c}}${ecritureAlgebrique(d1)} \\\\times ${d2}  ${ecritureAlgebrique(d1)}  \\\\times ${c2}\\\\sqrt{${c}}$<br>\n                    $= ${cc1}\\\\sqrt{${c}} ${ecritureAlgebrique(cc2)}\\\\times ${c} ${ecritureAlgebrique(dd)} ${ecritureAlgebrique(dd1)} \\\\sqrt{${c}}   $<br>\n                    $=${dd3}\\\\sqrt{${c}}${ecritureAlgebrique(dd2)}$`\n          break\n      }\n      if (this.listeQuestions.indexOf(texte) === -1) { // Si la question n'a jamais été posée, on en créé une autre\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this)\n  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