{"version":3,"file":"5G40-GOkFQDMv.js","sources":["../../src/exercices/5e/5G40.js"],"sourcesContent":["import { cercle, cercleCentrePoint, traceCompas } from '../../lib/2d/cercle.js'\nimport { cibleCarree, dansLaCibleCarree } from '../../lib/2d/cibles.js'\nimport { codageSegments } from '../../lib/2d/codages.js'\nimport { droite } from '../../lib/2d/droites.js'\nimport { point, pointAdistance, pointIntersectionCC, tracePoint } from '../../lib/2d/points.js'\nimport { polygoneAvecNom } from '../../lib/2d/polygones.js'\nimport { segment } from '../../lib/2d/segmentsVecteurs.js'\nimport { labelPoint, texteParPoint } from '../../lib/2d/textes.js'\nimport { rotation, similitude } from '../../lib/2d/transformations.js'\nimport { choice, combinaisonListes } from '../../lib/outils/arrayOutils'\nimport { choisitLettresDifferentes } from '../../lib/outils/aleatoires'\nimport { lettreDepuisChiffre } from '../../lib/outils/outilString.js'\nimport Exercice from '../deprecatedExercice.js'\nimport { mathalea2d } from '../../modules/2dGeneralites.js'\nimport { listeQuestionsToContenu, randint, calculANePlusJamaisUtiliser } from '../../modules/outils.js'\nimport Alea2iep from '../../modules/Alea2iep.js'\n\nexport const titre = 'Build parallelograms with self-correction device'\nexport const dateDeModifImportante = '08/05/2022'\n\n/**\n * Terminer la construction d'un parallélogramme\n * Ref 5G40\n * @author Jean-Claude Lhote (exercice) et Rémi Angot (animations)\n * Ajout de la possibilité de choisir le nombre de questions par Guillaume Valmont le 08/05/2022\n * Publié le 30/11/2020\n */\nexport const uuid = 'b611a'\nexport const ref = '5G40'\nexport default function ConstructionsParallelogrammes () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.titre = titre\n  this.consigne = ''\n  this.nbQuestions = 1\n  this.nbCols = 1\n  this.nbColsCorr = 1\n  this.sup = 5\n  this.correctionDetaillee = false\n  this.correctionDetailleeDisponible = true\n  this.typeExercice = 'IEP'\n  this.nouvelleVersion = function () {\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = [] // Tous les types de questions sont posés mais l'ordre diffère à chaque 'cycle'\n    let typeQuestionsDisponibles = [1, 2, 3, 4]\n    if (this.sup < 5) typeQuestionsDisponibles = [parseInt(this.sup)]\n\n    const listeTypeQuestions = combinaisonListes(typeQuestionsDisponibles, this.nbQuestions)\n    for (let i = 0, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      const celluleAlea = function (rang) {\n        const lettre = lettreDepuisChiffre(randint(1, rang))\n        const chiffre = Number(randint(1, rang)).toString()\n        return lettre + chiffre\n      }\n      // We prepare the figure...\n      const noms = choisitLettresDifferentes(5, 'OQ', true) // on choisit 5 lettres, les 4 premières sont les sommets, la 5e est le centre\n      const nom = `${noms[0] + noms[1] + noms[2] + noms[3]}`\n      const objetsEnonce = []\n      const objetsCorrection = []\n      // Preparation of the random figure and useful 2d objects\n      const O = point(0, 0, noms[4])\n      const A = rotation(pointAdistance(O, calculANePlusJamaisUtiliser(randint(50, 70) / 10)), O, randint(0, 179) * choice([-1, 1]), noms[0])\n      const C = rotation(A, O, 180, noms[2])\n      const B = similitude(A, O, randint(40, 80) * choice([-1, 1]), randint(4, 7, 5) * choice([-1, 1]) / 5, noms[1])\n      const D = rotation(B, O, 180, noms[3])\n      const p = polygoneAvecNom(A, B, C, D)\n      const d1 = segment(O, A)\n      const d2 = segment(O, B)\n      const d3 = segment(O, C)\n      const d4 = segment(O, D)\n      const c1 = segment(A, B)\n      const c4 = segment(D, A)\n      const dd1 = droite(A, B)\n      const dd2 = droite(A, D)\n      const dd3 = droite(C, D)\n      const dd4 = droite(C, B)\n      const cellule = celluleAlea(5)\n      const cellule2 = celluleAlea(5)\n      const cellule3 = celluleAlea(5)\n\n      const result = dansLaCibleCarree(C.x, C.y, 5, 0.5, cellule)\n      const result2 = dansLaCibleCarree(D.x, D.y, 5, 0.5, cellule2)\n      const result3 = dansLaCibleCarree(B.x, B.y, 5, 0.5, cellule3)\n\n      const cible = cibleCarree({ x: result[0], y: result[1], rang: 5, num: 1, taille: 0.5, color: 'gray' })\n      cible.opacite = 0.7\n      const cible2 = cibleCarree({ x: result2[0], y: result2[1], rang: 5, num: 2, taille: 0.5, color: 'gray' })\n      cible2.opacite = 0.7\n      const cible3 = cibleCarree({ x: result3[0], y: result3[1], rang: 5, num: 3, taille: 0.5, color: 'gray' })\n      cible3.opacite = 0.7\n      const xMin = Math.min(A.x, B.x, C.x, D.x) - 3\n      const yMin = Math.min(A.y, B.y, C.y, D.y) - 3\n      const xMax = Math.max(A.x, B.x, C.x, D.x) + 3\n      const yMax = Math.max(A.y, B.y, C.y, D.y) + 3\n\n      let P\n      const animIEP = new Alea2iep()\n      animIEP.recadre(xMin, yMax) // Il faut recadrer en première étape pour bien calculer les coordonnées des points\n\n      switch (listeTypeQuestions[i]) {\n        case 1: // deux côtés consécutifs\n          this.consigne = `Construct the parallelogram $${nom}$.`\n          texteCorr = 'Several constructions are possible:<br>'\n          if (this.correctionDetaillee) {\n            texteCorr += `- Using the equality of lengths: $${noms[0] + noms[1]}=${noms[3] + noms[2]}$ and $${noms[2] + noms[1]}=${noms[3] + noms[0]}$.<br>`\n            texteCorr += `- By drawing the parallel to $(${noms[0] + noms[1]})$ passing through $${noms[3]}$ and the parallel to $(${noms[3] + noms[0]})$ passing through $${noms[1]}$.<br>`\n            texteCorr += '- By using the property of diagonals which intersect in the middle.<br>'\n            texteCorr += 'We have chosen the first method which seems to us to be the most effective here.<br>'\n          } else {\n            texteCorr += `Here is one using the equality of lengths: $${noms[0] + noms[1]}=${noms[3] + noms[2]}$ and $${noms[2] + noms[1]}=${noms[3] + noms[0]}$.<br>`\n          }\n          texteCorr += `The $${noms[2]}$ point is in the target's ${cellule} box.<br>`\n\n          c1.styleExtremites = '-|'\n          c4.styleExtremites = '|-'\n          P = polygoneAvecNom(D, A, B)\n          objetsEnonce.push(c1, c4, P[1], cible)\n          objetsCorrection.push(p[0], p[1], cible, traceCompas(D, C, 30), traceCompas(B, C, 30), codageSegments('||', 'red', A, B, D, C), codageSegments('///', 'blue', A, D, B, C))\n          animIEP.parallelogramme3sommetsConsecutifs(D, A, B, C.nom)\n          break\n        case 2: // trois sommets consécutifs\n          this.consigne = `Construct the parallelogram $${nom}$.`\n          texteCorr = 'Several constructions are possible:<br>'\n          if (this.correctionDetaillee) {\n            texteCorr += `- Using the equality of lengths: $${noms[0] + noms[1]}=${noms[3] + noms[2]}$ and $${noms[2] + noms[1]}=${noms[3] + noms[0]}$.<br>`\n            texteCorr += `- By drawing the parallel to $(${noms[0] + noms[1]})$ passing through $${noms[3]}$ and the parallel to $(${noms[3] + noms[0]})$ passing through $${noms[1]}$.<br>`\n            texteCorr += '- By using the property of diagonals which intersect in the middle.<br>'\n            texteCorr += 'We have chosen the first method which seems to us to be the most effective here.<br>'\n          } else {\n            texteCorr += `Here is one using the equality of lengths: $${noms[0] + noms[1]}=${noms[3] + noms[2]}$ and $${noms[2] + noms[1]}=${noms[3] + noms[0]}$.<br>`\n          }\n          texteCorr += `The $${noms[2]}$ point is in the target's ${cellule} box.<br>`\n          P = polygoneAvecNom(D, A, B)\n          animIEP.pointCreer(D, D.nom, 0)\n          animIEP.pointCreer(A, A.nom, 0)\n          animIEP.pointCreer(B, B.nom, 0)\n          animIEP.regleSegment(D, A)\n          animIEP.regleSegment(A, B)\n          animIEP.regleMasquer(0)\n          animIEP.crayonMasquer(0)\n          animIEP.parallelogramme3sommetsConsecutifs(D, A, B, C.nom)\n          objetsEnonce.push(tracePoint(A, B, D), P[1], cible)\n          objetsCorrection.push(p[0], p[1], cible, traceCompas(D, C, 30), traceCompas(B, C, 30), codageSegments('||', 'red', A, B, D, C), codageSegments('///', 'blue', A, D, B, C))\n\n          break\n        case 3: // deux sommets consécutifs plus le centre\n          this.consigne = `Construct the parallelogram $${nom}$ with center $${noms[4]}$.`\n          texteCorr += `O is the center of symmetry of the parallelogram $${nom}$.<br>`\n          if (this.correctionDetaillee) {\n            texteCorr += `The point $${noms[3]}$ is the symmetric of the point $${noms[1]}$ with respect to $${noms[4]}$.<br>`\n            texteCorr += `The point $${noms[2]}$ is the symmetric of the point $${noms[0]}$ with respect to $${noms[4]}$.<br>`\n          }\n          texteCorr += `The $${noms[2]}$ point is in the ${cellule} box of target 1.<br>`\n          texteCorr += `The $${noms[3]}$ point is in the ${cellule2} box of target 2.<br>`\n          P = polygoneAvecNom(O, A, B)\n          animIEP.parallelogramme2sommetsConsecutifsCentre(A, B, O)\n          objetsEnonce.push(tracePoint(A, B, O), P[1], cible, cible2)\n          objetsCorrection.push(p[0], p[1], labelPoint(O), cible, cible2, d1, d2, d3, d4, codageSegments('||', 'red', A, O, O, C), codageSegments('|||', 'blue', B, O, O, D))\n\n          break\n        case 4: // Un angle formé par deux demi-droites et le centre\n          this.consigne = `Construct the parallelogram $${nom}$ with center ${noms[4]}.`\n          texte += `The point $${noms[3]}$ is on the half-line $[${noms[0]}x)$ and the point $${noms[1]}$ is on the half-line $[${noms[0]}y)$.<br>`\n          if (this.correctionDetaillee) {\n            texteCorr += `The point $${noms[2]}$ is the symmetric of the point $${noms[0]}$ with respect to $${noms[4]}$.<br>`\n            texteCorr += `The symmetry of the line $(${noms[0] + noms[1]})$ with respect to $${noms[4]}$ is the line passing through $${noms[2]}$ parallel to $(${noms[0] + noms[1]})$.<br>`\n            texteCorr += `The symmetry of the line $(${noms[0] + noms[3]})$ with respect to $${noms[4]}$ is the line passing through $${noms[2]}$ parallel to $(${noms[0] + noms[3]})$.<br>`\n          }\n          texteCorr += `The $${noms[2]}$ point is in the ${cellule} box of target 1.<br>`\n          texteCorr += `The $${noms[3]}$ point is in the ${cellule2} box of target 2.<br>`\n          animIEP.regleZoom(200)\n          animIEP.equerreZoom(200)\n          animIEP.parallelogrammeAngleCentre(D, A, B, O)\n          objetsEnonce.push(dd1, dd2, tracePoint(O), labelPoint(O, A), texteParPoint('x', pointIntersectionCC(cercleCentrePoint(A, D), cercle(D, 0.5), 1)), texteParPoint('y', similitude(B, A, 4, 1.3)), cible, cible2, cible3)\n          objetsCorrection.push(dd1, dd2, dd3, dd4, p[0], p[1], tracePoint(O), labelPoint(O), cible, cible2, cible3, d1, d3, codageSegments('||', 'red', A, O, O, C))\n\n          break\n      }\n      texte = mathalea2d({ xmin: xMin, ymin: yMin, xmax: xMax, ymax: yMax, pixelsParCm: 20, scale: 0.5 }, objetsEnonce)\n      texteCorr = mathalea2d({ xmin: xMin, ymin: yMin, xmax: xMax, ymax: yMax, pixelsParCm: 20, scale: 0.5 }, objetsCorrection)\n      texteCorr += animIEP.htmlBouton(this.umeroExercice)\n      // If the question has never been asked, we save it\n      if (this.questionJamaisPosee(i, texte)) { // <- laisser le i et ajouter toutes les variables qui rendent les exercices différents (par exemple a, b, c et d)\n        // Delete b, c and d in the line above and replace them with NumberAAdd!\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this)\n  }\n  this.besoinFormulaireNumerique = ['Type of questions', 5, '1: Two consecutive sides\\n2: Three consecutive vertices\\n3: Two consecutive vertices and the center\\n4: 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