{"version":3,"file":"6G52-oRIwUfa4.js","sources":["../../src/exercices/6e/6G52.js"],"sourcesContent":["import { codageAngleDroit } from '../../lib/2d/angles.js'\nimport { droite, droiteParPointEtPente, droiteParPointEtPerpendiculaire } from '../../lib/2d/droites.js'\nimport { point, pointSurDroite } from '../../lib/2d/points.js'\nimport { combinaisonListes, shuffle } from '../../lib/outils/arrayOutils'\nimport { miseEnEvidence } from '../../lib/outils/embellissements'\nimport Exercice from '../Exercice'\nimport { mathalea2d } from '../../modules/2dGeneralites.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { labelOnLine } from './6G14.js'\nimport { context } from '../../modules/context.js'\nexport const titre = 'Use the relationships between perpendicularity and parallelism'\n\nexport const dateDePublication = '11/09/2022'\n\n/**\n * d0 et d1 sont parallèles données par l’énoncé\n * d1 et d2 sont perpendiculaires à d3\n * d4 perpendiculaire à d3 non marquée\n * d5 (et d6 ?) random\n *\n * Question :\n * Donner tous les couples de droites parallèles en justifiant.\n * Ou\n * Donner tous les couples de droites perpendiculaires en justifiant\n * Refactoring pour les noms des droites Mickael Guironnet\n * @author Guillaume Valmont\n * Référence 6G52\n*/\nexport const uuid = '5bac3'\nexport const ref = '6G52'\nexport default class TracerCarresRectangleslongueurDonnees extends Exercice {\n  constructor () {\n    super()\n    this.titre = titre\n    this.nbQuestions = 2\n\n    this.correctionDetailleeDisponible = true\n    this.correctionDetaillee = false\n\n    this.besoinFormulaireNumerique = ['Order', 3, '1: Parallel lines\\n2: Perpendicular lines\\n3: Combination']\n    this.sup = 3\n  }\n\n  nouvelleVersion () {\n    this.listeQuestions = []\n    this.listeCorrections = []\n    this.autoCorrection = []\n\n    let typesDeQuestionsDisponibles = ['Parallels', 'Perpendiculars']\n    if (this.sup === 1) typesDeQuestionsDisponibles = ['Parallels']\n    if (this.sup === 2) typesDeQuestionsDisponibles = ['Perpendiculars']\n\n    const listeTypeDeQuestions = combinaisonListes(typesDeQuestionsDisponibles, this.nbQuestions)\n    for (let i = 0, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      const objetsEnonce = []\n      const noms = shuffle(['(d_1)', '(d_2)', '(d_3)', '(d_4)', '(d_5)', '(d_6)', '(d_7)'])\n      const couleurs = shuffle(['black', 'blue', 'green', '#2471A3', 'purple', 'red', 'brown'])\n      const couleur = (indice) => { // La fonction permet d'ajouter facilement une condition en fonction du contexte si besoin\n        return couleurs[indice]\n      }\n      const x = []\n      const y = []\n      for (let i = 0; i < 6; i++) {\n        x.push(randint(-3, 3, x))\n        y.push(randint(-3, 3, y))\n      }\n      for (let i = 0; i < 6; i++) {\n        x[i] = x[i] * 2 + randint(-10, 10) / 20\n        y[i] = y[i] * 2 + randint(-10, 10) / 20\n      }\n      const P03 = point(x[0], y[0]) //, texDroiteFigure(0), 'above left')\n      const P13 = point(x[1], y[0] + randint(-10, 10) / 10) //, texDroiteFigure(1), 'above left')\n      const d3 = droite(P03, P13, '', couleur(3))\n      const P23 = pointSurDroite(d3, x[2]) //, texDroiteFigure(2), 'above left')\n      const P43 = pointSurDroite(d3, x[3]) //, texDroiteFigure(4), 'above left')\n      const P53 = pointSurDroite(d3, x[4]) //, texDroiteFigure(5), 'above left')\n      const P63 = pointSurDroite(d3, x[5]) //, texDroiteFigure(6), 'above left')\n      // const P3 = pointOnRight(d3, Math.max(P03.x, P13.x, P23.x, P43.x, P53.x, P63.x) + 1) //, texRightFigure(3), 'right ')\n      const d0 = droiteParPointEtPerpendiculaire(P03, d3, '', couleur(0))\n      const d1 = droiteParPointEtPerpendiculaire(P13, d3, '', couleur(1))\n      const d2 = droiteParPointEtPerpendiculaire(P23, d3, '', couleur(2))\n      const d4 = droiteParPointEtPerpendiculaire(P43, d3, '', couleur(4))\n      const d5 = droiteParPointEtPente(P53, randint(-3, 3, [0]), '', couleur(5))\n      const d6 = droiteParPointEtPente(P63, randint(-3, 3, [0]), '', couleur(6))\n      const P1 = pointSurDroite(d1, 10)\n      const P2 = pointSurDroite(d2, 10)\n      const A13 = codageAngleDroit(P1, P13, P43, couleur(1), 0.7, 1, 0.6, couleur(1), 0.2)\n      const A23 = codageAngleDroit(P2, P23, P43, couleur(2), 0.7, 1, 0.6, couleur(2), 0.2)\n      objetsEnonce.push(d0, d1, d2, d3, d4, d5, d6, A13, A23) // , labelLatexPoint({ points: [P03, P13, P23, P43, P53, P63, P3] }))\n      // The lines below allow you to have a display with optimized dimensions\n      const xmin = Math.min(P03.x, P13.x, P23.x, P43.x, P53.x, P63.x) - 3\n      const xmax = Math.max(P03.x, P13.x, P23.x, P43.x, P53.x, P63.x) + 3\n      const ymin = Math.min(P03.y, P13.y, P23.y, P43.y, P53.y, P63.y) - 4\n      const ymax = Math.max(P03.y, P13.y, P23.y, P43.y, P53.y, P63.y) + 4\n\n      context.fenetreMathalea2d = [xmin, ymin, xmax, ymax] // important pour la position des labels\n      const d5nom = labelOnLine(d5, '$' + noms[5] + '$', { color: couleurs[5], taille: 8 })\n      const d6nom = labelOnLine(d6, '$' + noms[6] + '$', { color: couleurs[6], taille: 8, usedPosition: [d5nom] })\n      const d0nom = labelOnLine(d0, '$' + noms[0] + '$', { color: couleurs[0], taille: 8, usedPosition: [d5nom, d6nom] })\n      const d1nom = labelOnLine(d1, '$' + noms[1] + '$', { color: couleurs[1], taille: 8, usedPosition: [d5nom, d6nom, d0nom] })\n      const d2nom = labelOnLine(d2, '$' + noms[2] + '$', { color: couleurs[2], taille: 8, usedPosition: [d5nom, d6nom, d0nom, d1nom] })\n      const d4nom = labelOnLine(d4, '$' + noms[4] + '$', { color: couleurs[4], taille: 8, usedPosition: [d5nom, d6nom, d0nom, d1nom, d2nom] })\n      const d3nom = labelOnLine(d3, '$' + noms[3] + '$', { color: couleurs[3], taille: 8, usedPosition: [d5nom, d6nom, d0nom, d1nom, d2nom, d4nom] })\n\n      objetsEnonce.push(d0nom, d1nom, d2nom, d3nom, d4nom, d5nom, d6nom)\n      // Mathalea2d window parameters for normal statement\n      const params = { xmin, ymin, xmax, ymax, pixelsParCm: 20, scale: 1 }\n      // We add to the text of the correction, the figure of the correction\n      const texDroiteEnonce = (indice) => {\n        return `$${miseEnEvidence(noms[indice], couleurs[indice])}$`\n      }\n      texte = `The lines ${texDroiteEnonce(0)} and ${texDroiteEnonce(1)} are parallel.<br>`\n      switch (listeTypeDeQuestions[i]) {\n        case 'Parallels':\n          texte += 'Give all the pairs of parallel lines by justifying.'\n          texteCorr = `According to the statement, the lines ${texDroiteEnonce(0)} and ${texDroiteEnonce(1)} are parallel.<br><br>`\n          texteCorr += `The lines ${texDroiteEnonce(2)} and ${texDroiteEnonce(1)} are perpendicular to the same line ${texDroiteEnonce(3)}`\n          this.correctionDetaillee ? texteCorr += '.<br>However, if two lines are perpendicular to the same line then they are parallel to each other.<br>E' : texteCorr += ', '\n          texteCorr += 'They are therefore parallel.<br><br>'\n          texteCorr += `The lines ${texDroiteEnonce(0)} and ${texDroiteEnonce(2)} are parallel to the same line ${texDroiteEnonce(1)}`\n          this.correctionDetaillee ? texteCorr += '.<br>Now, if two lines are parallel to the same third line then they are parallel to each other.<br>E' : texteCorr += ', '\n          texteCorr += 'They are therefore parallel.<br>'\n          texteCorr += `<br>Note:<br>The ${texDroiteEnonce(4)} line also seems to be parallel to the others but nothing allows us to affirm this.<br>The statement would have had to say that it is parallel to another or that a right angle is marked for example.`\n          break\n        case 'Perpendiculars':\n          texte += 'Give all the pairs of perpendicular lines by justifying'\n          texteCorr = `The codings make it possible to assert that the lines ${texDroiteEnonce(1)} and ${texDroiteEnonce(2)} are both perpendicular to ${texDroiteEnonce(3)}<br><br>`\n          texteCorr += `The lines ${texDroiteEnonce(0)} and ${texDroiteEnonce(1)} are parallel (this is what the statement says) and ${texDroiteEnonce(3)} is perpendicular to ${texDroiteEnonce(1)}`\n          this.correctionDetaillee ? texteCorr += '.<br>Now, if two lines are parallel and if a third line is perpendicular to one then it is perpendicular to the other.<br>D' : texteCorr += 'd'\n          texteCorr += `onc ${texDroiteEnonce(3)} is also perpendicular to ${texDroiteEnonce(0)}.<br>`\n          texteCorr += `<br>Note:<br>The line ${texDroiteEnonce(4)} also seems to be perpendicular to ${texDroiteEnonce(3)} but nothing allows us to assert this.<br>The statement would have had to say that it is parallel to another or that a right angle is marked for example.`\n          break\n      }\n      texte += '<br>' + (context.vue === 'diap' ? '<center>' : '') + mathalea2d(params, objetsEnonce) + (context.vue === 'diap' ? '</center>' : '')\n      // If the question has never been asked, we save it\n      if (this.questionJamaisPosee(i, x, y)) {\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this)\n  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