File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/2G21-1-bbd63vzf.js.map
{"version":3,"file":"2G21-1-bbd63vzf.js","sources":["../../src/exercices/2e/2G21-1.js"],"sourcesContent":["import { point, pointAdistance, tracePoint } from '../../lib/2d/points.js'\nimport { polygoneAvecNom } from '../../lib/2d/polygones.js'\nimport { longueur, vecteur } from '../../lib/2d/segmentsVecteurs.js'\nimport { latexParPoint } from '../../lib/2d/textes.js'\nimport { homothetie, similitude, translation } from '../../lib/2d/transformations.js'\nimport { choice } from '../../lib/outils/arrayOutils'\nimport Exercice from '../deprecatedExercice.js'\nimport { mathalea2d, colorToLatexOrHTML } from '../../modules/2dGeneralites.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport Alea2iep from '../../modules/Alea2iep.js'\nimport { translationAnimee } from '../../modules/2dAnimation.js'\nexport const titre = 'Construire un point à partir d\\'une égalité vectorielle'\nexport const dateDeModifImportante = '29/01/2023' // Par EE\n\n/**\n * @author Jean-Claude Lhote\n */\nexport const uuid = '2b8bf'\nexport const ref = '2G21-1'\nexport default function SommeDeVecteurs () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.titre = titre\n this.nbQuestions = 2\n this.nbCols = 2\n this.nbColsCorr = 2\n this.sup = 3 //\n this.nouvelleVersion = function (numeroExercice) {\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n let choix = 1\n let u, v, A, B, C, xU, yU, xV, yV, p, U, V, M, N, UU, VV, posLabelA\n for (let i = 0, texte, texteCorr, anim, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n choix = parseInt(this.sup) === 3 ? randint(1, 2) : parseInt(this.sup)\n anim = new Alea2iep()\n xU = randint(0, 8) * 0.5\n yU = randint(Math.round(4 - xU), 8, Math.round(xU)) * choice([-0.5, 0.5])\n xV = randint(-8, -1) * 0.5\n yV = randint(Math.round(4 + xV), 8) * choice([-0.5, 0.5])\n u = vecteur(xU, yU)\n v = vecteur(xV, yV)\n A = point(0, 0, 'A', 'center')\n B = translation(A, u, 'B')\n C = translation(B, v, 'C')\n posLabelA = homothetie(C, A, -1 / longueur(A, C))\n posLabelA.positionLabel = 'center'\n p = polygoneAvecNom(B, C)\n if (choix === 1) {\n M = pointAdistance(A, 0)\n N = pointAdistance(A, 0)\n } else {\n M = pointAdistance(A, randint(2, 3), randint(20, 45))\n N = similitude(M, A, randint(-90, -45), randint(2, 5) / 2)\n }\n U = u.representantNomme(M, 'u', 2, 'blue')\n UU = u.representant(M)\n UU.color = colorToLatexOrHTML('blue')\n V = v.representantNomme(N, 'v', 2, 'green')\n VV = v.representant(N)\n VV.color = colorToLatexOrHTML('green')\n texte = 'Construire le point $C$ tel que $\\\\overrightarrow{AC} = \\\\vec{u} + \\\\vec{v}$.<br>'\n texte += mathalea2d({\n xmin: Math.min(0, B.x, C.x, M.x, M.x + xU, N.x, N.x + xV) - 2,\n ymin: Math.min(0, B.y, C.y, M.y, M.y + yU, N.y, N.y + yV) - 2,\n xmax: Math.max(0, B.x, C.x, M.x, M.x + xU, N.x, N.x + xV) + 2,\n ymax: Math.max(0, B.y, C.y, M.y, M.y + yU, N.y, N.y + yV) + 2,\n scale: 0.7\n }, U, V, UU, VV, tracePoint(A, 'red'), latexParPoint('A', posLabelA, 'red', 12, 6, ''))\n texteCorr = 'Construisons le point $B$ tel que $\\\\overrightarrow{AB} = \\\\vec{u}$ puis le point $C$ tel que $\\\\overrightarrow{BC} = \\\\vec{v}$'\n anim.couleur = 'black'\n anim.xMin = Math.min(0, B.x, C.x, M.x, M.x + xU, N.x, N.x + xV) - 1\n anim.yMin = Math.min(0, B.y, C.y, M.y, M.y + yU, N.y, N.y + yV) - 1\n anim.xMax = Math.max(0, B.x, C.x, M.x, M.x + xU, N.x, N.x + xV) + 2\n anim.yMax = Math.max(0, B.y, C.y, M.y, M.y + yU, N.y, N.y + yV) + 2\n anim.recadre(anim.xMin, anim.yMax)\n anim.crayonMontrer(M)\n anim.tracer(translation(M, u), { vecteur: true, couleur: 'blue' })\n anim.crayonDeplacer(N)\n anim.tracer(translation(N, v), { vecteur: true, couleur: 'green' })\n anim.crayonMasquer()\n anim.pointCreer(A)\n if (choix === 2) {\n anim.compasMontrer(M)\n anim.compasEcarter2Points(M, translation(M, u))\n anim.compasDeplacer(A)\n anim.compasTracerArcCentrePoint(A, B)\n anim.compasDeplacer(M)\n anim.compasEcarter2Points(M, A)\n anim.compasDeplacer(translation(M, u))\n anim.compasTracerArcCentrePoint(translation(M, u), B)\n anim.crayonMontrer(B)\n anim.tracer(translation(M, u), { couleur: 'blue', pointilles: 5 })\n anim.crayonDeplacer(M)\n anim.tracer(A, { couleur: 'blue', pointilles: 5 })\n anim.tracer(B, { vecteur: true, couleur: 'blue' })\n anim.crayonMasquer()\n }\n anim.compasDeplacer(N)\n anim.compasEcarter2Points(N, translation(N, v))\n anim.compasDeplacer(B)\n anim.compasTracerArcCentrePoint(B, C)\n anim.compasDeplacer(N)\n anim.compasEcarter2Points(N, B)\n anim.compasDeplacer(translation(N, v))\n anim.compasTracerArcCentrePoint(translation(N, v), C)\n anim.crayonMontrer(C)\n anim.tracer(translation(N, v), { couleur: 'green', pointilles: 5 })\n anim.crayonDeplacer(N)\n anim.tracer(B, { couleur: 'green', pointilles: 5 })\n anim.tracer(C, { vecteur: true, couleur: 'green' })\n anim.crayonMasquer()\n anim.compasMasquer()\n anim.pointCreer(C)\n texteCorr += mathalea2d({\n xmin: Math.min(0, B.x, C.x, M.x, M.x + xU, N.x, N.x + xV) - 1,\n ymin: Math.min(0, B.y, C.y, M.y, M.y + yU, N.y, N.y + yV) - 1,\n xmax: Math.max(0, B.x, C.x, M.x, M.x + xU, N.x, N.x + xV) + 1,\n ymax: Math.max(0, B.y, C.y, M.y, M.y + yU, N.y, N.y + yV) + 1,\n scale: 0.7\n }, U, V, p[1], tracePoint(A, 'red'), UU, VV, u.representant(A), v.representant(B), translationAnimee(UU, vecteur(M, A)), translationAnimee(VV, vecteur(N, B)), latexParPoint('A', posLabelA, 'red', 12, 12, ''))\n texteCorr += \"Remarque : comme $\\\\overrightarrow{AB} = \\\\vec{u}$ et $\\\\overrightarrow{BC} = \\\\vec{v}$, alors $\\\\vec{u}+\\\\vec{v}=\\\\overrightarrow{AB}+\\\\overrightarrow{BC}=\\\\overrightarrow{AC}$ d'après la relation de Chasles.\"\n texteCorr += anim.htmlBouton(numeroExercice, i)\n if (this.questionJamaisPosee(i, xU, yU, xV, yV)) { // 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 }\n this.besoinFormulaireNumerique = ['Situations différentes ', 2, '1 :Avec un point origine\\n2 : Avec un point extrémité\\n3 : 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