{"version":3,"file":"2G22-1-NKDBC8d4.js","sources":["../../src/exercices/2e/2G22-1.js"],"sourcesContent":["import { point } from '../../lib/2d/points.js'\nimport { repere } from '../../lib/2d/reperes.js'\nimport { longueur, nomVecteurParPosition, segment, vecteur } from '../../lib/2d/segmentsVecteurs.js'\nimport { labelPoint, latexParPoint, texteParPosition } from '../../lib/2d/textes.js'\nimport { homothetie } 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'\n\nexport const titre = 'Represent a vector in a coordinate system, from its coordinates'\n\n/**\n * Tracer un vecteur dont on connais les coordonnées dans un repère.\n * @author Stéphane Guyon légèrement modifié par Jean-Claude Lhote\n */\nexport const uuid = '3a3ec'\nexport const ref = '2G22-1'\nexport default function RepresenterUnVecteur () {\n  Exercice.call(this) // Héritage de la classe Exercice()\n  this.nbQuestions = 2\n  this.nbCols = 2\n  this.nbColsCorr = 2\n  this.sup = 1 //\n  this.nouvelleVersion = function () {\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n\n    for (let i = 0, r, posLabelA, posLabelB, labelA, labelB, A, B, H, h1, h2, O, I, J, j, k, l, s, o, ux, uy, xA, yA, xB, yB, AB, nomi, nomj, nomAB, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      // let t\n      xA = randint(2, 8) * choice([-1, 1])\n      yA = randint(2, 8) * choice([-1, 1])\n      ux = randint(3, 8) * choice([-1, 1])\n      uy = randint(3, 8) * choice([-1, 1])\n      xB = xA + ux\n      yB = yA + uy\n      while (Math.abs(xB) < 2 || Math.abs(xB) > 8) { // On s'assure de choisir des points bien placés dans le repère.\n        xA = randint(3, 8) * choice([-1, 1])\n        ux = randint(3, 8) * choice([-1, 1])\n        xB = xA + ux\n      }\n      while (Math.abs(yB) < 2 || Math.abs(yB) > 8) { // Idem pour les ordonnées\n        yA = randint(3, 8) * choice([-1, 1])\n        uy = randint(3, 8) * choice([-1, 1])\n        yB = yA + uy\n      }\n      A = point(xA, yA)\n      B = point(xB, yB)\n      AB = vecteur(A, B)\n      r = repere()// On définit le repère\n      posLabelA = homothetie(B, A, -0.7 / longueur(A, B), '', 'center') // pour positionner les noms des points aux extrémités proprement\n      posLabelB = homothetie(A, B, -0.7 / longueur(A, B), '', 'center')\n      labelA = latexParPoint('A', posLabelA, 'red', 10, 12, '')\n      labelB = latexParPoint('B', posLabelB, 'red', 10, 12, '')\n\n      H = point(xA + ux, yA)\n      s = AB.representant(A) // On trace en rouge [AB]\n      h1 = segment(A, H, 'blue')\n      h2 = segment(B, H, 'green')\n      O = point(0, 0)// On définit et on trace le point O\n      o = texteParPosition('O', -0.3, -0.3, 'medium', 'blue', 1)\n      I = point(1, 0)// On définit sans tracer le point I\n      J = point(0, 1)// On définit sans tracer le point J\n      k = vecteur(O, I).representant(O, 'blue') // Variable qui trace [OI] en bleu\n      j = vecteur(O, J).representant(O, 'blue')// Variable qui trace [OJ] en bleu\n      s.epaisseur = 2// Variable qui grossit le tracé du vecteur AB\n      s.color = colorToLatexOrHTML('red')\n      k.epaisseur = 2// Variable qui grossit le tracé du vecteur OI\n      j.epaisseur = 2// Variable qui grossit le tracé du vecteur OJ\n      h1.epaisseur = 2// Variable qui grossit le tracé bleu\n      h2.epaisseur = 2// Variable qui grossit le tracé bleu\n      nomi = nomVecteurParPosition('i', 0.5, -0.7, 1.5, 0, 'blue')\n      nomj = nomVecteurParPosition('j', -0.7, 0.5, 1.5, 0, 'blue')\n      nomAB = AB.representantNomme(A, 'u', 2, 'red')\n      if (this.sup === 1) {\n        l = labelPoint(A, 'red')// Variable qui trace les nom s A et B\n        // t = tracePoint(A, 'red') // Variable that traces the points with a cross\n\n        texte = ` In an orthonormal frame $(O,\\\\vec i,\\\\vec j)$, represent the vector $\\\\vec{u}\\\\begin{pmatrix}${ux} \\\\\\\\${uy}\\\\end{pmatrix}$,`\n        texte += `having origin at the point $A\\\\left(${xA},${yA}\\\\right)$. `\n\n        texteCorr = 'We know that a vector measures a displacement.'\n        texteCorr += `<br> From point $A$, we therefore trace the displacement corresponding to $${ux}$ units horizontally (in blue) then $${uy}$ units vertically (in green) to arrive at point $B$, end of vector $\\\\vec{u}$. `\n        texteCorr += '<br> See the displacements in the frame and the trace in red of the vector $\\\\vec{u}$.'\n      } else {\n        texte = ` In an orthonormal frame $(O,\\\\vec i,\\\\vec j)$, represent the vector $\\\\vec{u}\\\\begin{pmatrix}${ux} \\\\\\\\${uy}\\\\end{pmatrix}$,`\n        texte += `having as its endpoint the point $B\\\\left(${xB},${yB}\\\\right)$. `\n\n        texteCorr = 'We know that a vector measures a displacement.'\n        texteCorr += `<br> We are therefore looking for a point $A$, from which by tracing the displacement corresponding to $${ux}$ units horizontally (in blue) then $${uy}$ units vertically (in green), we arrive at point $B$. `\n        texteCorr += '<br> See the displacement in blue in the reference frame and the trace in red of the vector $\\\\vec{u}$.'\n        // t = tracePoint(A, 'red') // Variable that traces the points with a cross\n        l = labelPoint(A, B, 'red')// Variable qui trace les nom s A et B\n      }\n      texteCorr += mathalea2d({\n        xmin: -9,\n        ymin: -9,\n        xmax: 9,\n        ymax: 9\n      }, r, l, k, j, s, o, nomi, nomj, nomAB, h1, h2, labelA, labelB\n      //, t\n      )// On trace le graphique\n\n      if (this.questionJamaisPosee(i, xA, yA, xB, yB)) { // 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 = ['Different situations', 2, '1: With an origin point\\n 2: With an end 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