{"version":3,"file":"4G10-2-4OInPuFX.js","sources":["../../src/exercices/4e/4G10-2.js"],"sourcesContent":["import { codageAngleDroit } from '../../lib/2d/angles.js'\nimport { afficheLongueurSegment } from '../../lib/2d/codages.js'\nimport { droite, droiteParPointEtPerpendiculaire } from '../../lib/2d/droites.js'\nimport { point, pointAdistance, pointIntersectionDD, pointSurDroite } from '../../lib/2d/points.js'\nimport { polygoneAvecNom } from '../../lib/2d/polygones.js'\nimport { segment, vecteur } from '../../lib/2d/segmentsVecteurs.js'\nimport { labelPoint } from '../../lib/2d/textes.js'\nimport { translation2Points } from '../../lib/2d/transformations.js'\nimport { triangle2points2longueurs } from '../../lib/2d/triangle.js'\nimport { choisitLettresDifferentes } from '../../lib/outils/aleatoires'\nimport Exercice from '../Exercice'\nimport { mathalea2d } from '../../modules/2dGeneralites.js'\nimport { randint, listeQuestionsToContenu } from '../../modules/outils.js'\nimport Alea2iep from '../../modules/Alea2iep.js'\nexport const titre = 'Transform a figure by translation'\n\nexport const dateDePublication = '16/05/2022'\n\n/**\n * @author Guillaume Valmont\n * Référence 4G10-2\n*/\nexport const uuid = '6a2dd'\nexport const ref = '4G10-2'\n\nfunction segmente (point, image) {\n  const segmentAA = segment(point, image, 'red')\n  segmentAA.styleExtremites = '|->'\n  segmentAA.pointilles = 2\n  return segmentAA\n}\nexport default class nomExercice extends Exercice {\n  constructor () {\n    super()\n    this.nbQuestions = 1\n  }\n\n  nouvelleVersion () {\n    this.listeQuestions = []\n    this.listeCorrections = []\n    this.autoCorrection = []\n\n    let objetsEnonceEtCorr, objetsEnonceOnly, objetsCorrectionOnly, paramsEnonce, paramsCorrection\n    for (let i = 0, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      objetsEnonceOnly = []\n      objetsCorrectionOnly = []\n      objetsEnonceEtCorr = []\n\n      const lettres = choisitLettresDifferentes(5)\n\n      // Initial figure\n      const A = point(0, -8, lettres[0], 'below')\n      const B = pointAdistance(A, randint(30, 60) / 10, randint(0, 45), lettres[1])\n      const C = triangle2points2longueurs(A, B, randint(40, 60) / 10, randint(30, 50) / 10).listePoints[2]\n      C.nom = lettres[2]\n      const poly = polygoneAvecNom(A, B, C)\n      objetsEnonceEtCorr.push(poly[0], poly[1], afficheLongueurSegment(B, A), afficheLongueurSegment(A, C), afficheLongueurSegment(C, B))\n\n      // Vector and image by translation\n      const D = point(B.x - 1, B.y + 7 + randint(-10, 10) / 10, lettres[3])\n      const E = point(B.x - 10, B.y + 7 + randint(-20, 20) / 10, lettres[4])\n      const imageA = translation2Points(A, D, E, `${lettres[0]}'`)\n      const imageB = translation2Points(B, D, E, `${lettres[1]}'`)\n      const imageC = translation2Points(C, D, E, `${lettres[2]}'`)\n      const imagePoly = polygoneAvecNom(imageA, imageB, imageC)\n\n      objetsEnonceEtCorr.push(vecteur(D, E).representant(D), afficheLongueurSegment(D, E), labelPoint(D, E))\n      objetsCorrectionOnly.push(imagePoly[0], imagePoly[1])\n      objetsCorrectionOnly.push(afficheLongueurSegment(imageB, imageA), afficheLongueurSegment(imageA, imageC), afficheLongueurSegment(imageC, imageB))\n      objetsCorrectionOnly.push(segmente(A, imageA), segmente(B, imageB), segmente(C, imageC))\n      objetsCorrectionOnly.push(afficheLongueurSegment(A, imageA, 'red'), afficheLongueurSegment(B, imageB, 'red'), afficheLongueurSegment(C, imageC, 'red'))\n\n      // Perpendicular\n      const min = Math.max(A.x, B.x, C.x, D.x)\n      const max = Math.min(imageA.x, imageB.x, imageC.x, E.x)\n      const DE = droite(D, E)\n      const pied = pointSurDroite(DE, (min + max) / 2)\n      const perpendiculaire = droiteParPointEtPerpendiculaire(pied, DE, '', 'red')\n      perpendiculaire.pointilles = 2\n      const pied2 = pointSurDroite(perpendiculaire, (min + max) / 2 + 0.1)\n      const AA = pointIntersectionDD(droite(A, imageA), perpendiculaire)\n      const AA2 = pointSurDroite(perpendiculaire, AA.x - 0.1)\n      const BB = pointIntersectionDD(droite(B, imageB), perpendiculaire)\n      const CC = pointIntersectionDD(droite(C, imageC), perpendiculaire)\n      objetsCorrectionOnly.push(perpendiculaire, codageAngleDroit(D, pied, pied2, 'red'))\n      objetsCorrectionOnly.push(codageAngleDroit(A, AA, pied, 'red'), codageAngleDroit(B, BB, pied, 'red'), codageAngleDroit(C, CC, pied, 'red'))\n\n      // Window settings\n      const xmin = Math.min(A.x, B.x, C.x, D.x, E.x, imageA.x, imageB.x, imageC.x) - 2\n      const xmax = Math.max(A.x, B.x, C.x, D.x, E.x, imageA.x, imageB.x, imageC.x) + 2\n      const ymin = Math.min(A.y, B.y, C.y, D.x, E.x, imageA.y, imageB.y, imageC.y) - 2\n      const ymax = Math.max(A.y, B.y, C.y, D.x, E.x, imageA.y, imageB.y, imageC.y) + 2\n      paramsEnonce = { xmin, ymin, xmax, ymax, pixelsParCm: 20, scale: 1 }\n      paramsCorrection = paramsEnonce\n\n      // Animation\n      const anim = new Alea2iep()\n      anim.recadre(xmin, ymax)\n      // Initial situation\n      anim.tempo = 0.001\n      anim.couleur = 'black'\n      anim.pointCreer(A)\n      anim.pointCreer(B)\n      anim.pointCreer(C)\n      anim.pointCreer(D)\n      anim.pointCreer(E)\n      anim.traitRapide(D, E)\n      anim.traitRapide(A, B)\n      anim.traitRapide(A, C)\n      anim.traitRapide(B, C)\n      // Perpendicular\n      anim.tempo = 0.5\n      anim.couleur = 'red'\n      anim.pointilles = 5\n      anim.equerreDeplacer(pied)\n      anim.equerreMontrer()\n      anim.equerreRotation(AA)\n      anim.regleDeplacer(pied)\n      anim.regleMontrer()\n      anim.regleRotation(AA)\n      anim.regleDeplacer(pied2)\n      anim.equerreMasquer()\n      anim.crayonDeplacer(AA2)\n      anim.crayonMontrer()\n      anim.crayonDeplacer(pied2)\n      anim.traitRapide(AA2, pied2)\n      anim.codageAngleDroit(D, pied, pied2)\n      // Parallels right side\n      anim.crayonMasquer()\n      anim.equerreMontrer()\n      anim.equerreDeplacer(CC)\n      anim.crayonMontrer()\n      anim.crayonDeplacer(CC)\n      anim.crayonDeplacer(C)\n      anim.traitRapide(C, CC)\n      anim.codageAngleDroit(C, CC, pied)\n\n      anim.crayonMasquer()\n      anim.equerreMontrer()\n      anim.equerreDeplacer(BB)\n      anim.crayonMontrer()\n      anim.crayonDeplacer(BB)\n      anim.crayonDeplacer(B)\n      anim.traitRapide(B, BB)\n      anim.codageAngleDroit(B, BB, pied)\n\n      anim.crayonMasquer()\n      anim.equerreMontrer()\n      anim.equerreDeplacer(AA)\n      anim.crayonMontrer()\n      anim.crayonDeplacer(AA)\n      anim.crayonDeplacer(A)\n      anim.traitRapide(A, AA)\n      anim.codageAngleDroit(A, AA, pied)\n      // Parallels left side\n      anim.equerreMasquer()\n      anim.regleProlongerSegment(C, CC, { longueur: 10 })\n      anim.regleProlongerSegment(B, BB, { longueur: 10 })\n      anim.regleProlongerSegment(A, AA, { longueur: 10 })\n      anim.regleMasquer()\n      // Compass\n      anim.compasMontrer()\n      anim.compasEcarter2Points(D, E)\n      anim.compasTracerArcCentrePoint(C, imageC)\n      anim.compasTracerArcCentrePoint(B, imageB)\n      anim.compasTracerArcCentrePoint(A, imageA)\n      anim.compasMasquer()\n      // Trace image\n      anim.couleur = 'black'\n      anim.pointilles = false\n      anim.pointCreer(imageC)\n      anim.pointCreer(imageB)\n      anim.pointCreer(imageA)\n      anim.regleMontrer()\n      anim.regleSegment(imageC, imageB)\n      anim.regleSegment(imageB, imageA)\n      anim.regleSegment(imageA, imageC)\n      anim.regleMasquer()\n      anim.crayonMasquer()\n\n      // Statement and correction\n      texte = `Trace the image of the triangle $${lettres[0]}${lettres[1]}${lettres[2]}$ by the translation which transforms $${lettres[3]}$ into $${lettres[4]}$.<br>`\n      texte += mathalea2d(paramsEnonce, objetsEnonceOnly, objetsEnonceEtCorr)\n      texteCorr = mathalea2d(paramsCorrection, objetsCorrectionOnly, objetsEnonceEtCorr)\n      texteCorr += anim.htmlBouton()\n      if (this.questionJamaisPosee(i, B.x, B.y, C.x, C.y)) {\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this) // On envoie l'exercice à la fonction de mise en page\n  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