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{"version":3,"file":"can1G10-EfWBeyyF.js","sources":["../../src/exercices/can/1e/can1G10.js"],"sourcesContent":["import { cercleCentrePoint } from '../../../lib/2d/cercle.js'\nimport { point, pointSurCercle } from '../../../lib/2d/points.js'\nimport { polygoneAvecNom } from '../../../lib/2d/polygones.js'\nimport { grille } from '../../../lib/2d/reperes.js'\nimport { segment } from '../../../lib/2d/segmentsVecteurs.js'\nimport { texteParPosition } from '../../../lib/2d/textes.js'\nimport { choice } from '../../../lib/outils/arrayOutils'\nimport Exercice from '../../Exercice.js'\nimport { mathalea2d } from '../../../modules/2dGeneralites.js'\nexport const titre = 'Associer une mesure d\\'angle à un point du cercle trigonométrique '\nexport const interactifReady = true\nexport const interactifType = 'mathLive'\nexport const dateDePublication = '31/10/2022'\n/**\n * Modèle d'exercice très simple pour la course aux nombres\n * @author Gilles Mora\n * Référence can1G10\n *\n*/\n\nexport const uuid = '33ae8'\nexport const ref = 'can1G10'\nexport default function PointSurCercleTrigo () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.typeExercice = 'simple' // Cette ligne est très importante pour faire faire un exercice simple !\n this.formatChampTexte = 'largeur15 inline'\n this.nbQuestions = 1\n // Dans un exercice simple, ne pas mettre de this.listeQuestions = [] ni de this.consigne\n this.tailleDiaporama = 2\n this.nouvelleVersion = function () {\n let choix\n const r = 5\n const O = point(0, 0, 'O', 'below left')\n const o = texteParPosition('O', -0.4, -0.4, 'milieu', 'black', 1)\n const I = point(r, 0, 'I', 'right')\n const J = point(0, r, 'J', 'above')\n const K = point(-r, 0, 'K', 'left')\n const L = point(0, -r, 'L', 'below')\n const I2 = point(-r, 0)\n const J2 = point(0, -r)\n const s1 = segment(I, I2)\n const s2 = segment(J, J2)\n const c = cercleCentrePoint(O, I)\n c.epaisseur = 3\n const sOI = segment(O, I, 'blue')\n sOI.epaisseur = 3\n const A1 = pointSurCercle(c, 30, 'A', 'above right')\n const A2 = pointSurCercle(c, 210, 'G', 'below left')\n const sA1A2 = segment(A1, A2, 'blue')\n sA1A2.epaisseur = 1\n sA1A2.pointilles = 5\n const B1 = pointSurCercle(c, 45, 'B', 'above right')\n const B2 = pointSurCercle(c, 225, 'H', 'below left')\n const sB1B2 = segment(B1, B2, 'blue')\n sB1B2.epaisseur = 1\n sB1B2.pointilles = 5\n const C1 = pointSurCercle(c, 60, 'C', 'above right')\n const C2 = pointSurCercle(c, 240, 'M', 'below left')\n const sC1C2 = segment(C1, C2, 'blue')\n sC1C2.epaisseur = 1\n sC1C2.pointilles = 5\n const D1 = pointSurCercle(c, 120, 'D', 'above left')\n const D2 = pointSurCercle(c, -60, 'N', 'below right')\n const sD1D2 = segment(D1, D2, 'blue')\n sD1D2.epaisseur = 1\n sD1D2.pointilles = 5\n const E1 = pointSurCercle(c, 135, 'E', 'above left')\n const E2 = pointSurCercle(c, -45, 'P', 'below right')\n const sE1E2 = segment(E1, E2, 'blue')\n sE1E2.epaisseur = 1\n sE1E2.pointilles = 5\n const F1 = pointSurCercle(c, 150, 'F', 'above left')\n const F2 = pointSurCercle(c, -30, 'Q', 'below right')\n const sF1F2 = segment(F1, F2, 'blue')\n sF1F2.epaisseur = 1\n sF1F2.pointilles = 5\n const g = grille(-5, -5, 5, 5, 'black', 0.4, 2.5)\n const nom = polygoneAvecNom(A1, A2, B1, B2, C1, C2, D1, D2, E1, E2, F1, F2, I, J, K, L)[1]\n const objet = mathalea2d({ xmin: -r - 3, xmax: r + 3, ymin: -r - 1.5, ymax: r + 1, pixelsParCm: 15, scale: 0.45, style: 'margin: auto' }, c, s1, s2, sA1A2, sB1B2, sC1C2, sD1D2, sE1E2, sF1F2, g, o, nom)\n switch (choice([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16])) { //, 2, 3, 4, 5\n case 1:// point I\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $I$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le réel $2\\\\pi$ est associé au point $I$ dans $${choix}$. `\n this.reponse = '2\\\\pi'\n } else {\n this.correction = `Le réel $0$ est associé au point $I$ dans $${choix}$. `\n this.reponse = '0'\n }\n\n break\n case 2:// point A\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $A$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{\\\\pi}{6}$ est associé au point $A$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{\\\\pi}{6}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $A$ est le point-image de $\\\\dfrac{\\\\pi}{6}$.<br>\n $\\\\dfrac{\\\\pi}{6}+2\\\\pi=\\\\dfrac{13\\\\pi}{6}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{13\\\\pi}{6}$ est associé au point $A$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{13\\\\pi}{6}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $A$ est le point-image de $\\\\dfrac{\\\\pi}{6}$.<br>\n $\\\\dfrac{\\\\pi}{6}-2\\\\pi=-\\\\dfrac{11\\\\pi}{6}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{11\\\\pi}{6}$ est associé au point $A$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{11\\\\pi}{6}'\n }\n break\n\n case 3:// point B\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $B$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{\\\\pi}{4}$ est associé au point $B$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{\\\\pi}{4}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $B$ est le point-image de $\\\\dfrac{\\\\pi}{4}$.<br>\n $\\\\dfrac{\\\\pi}{4}+2\\\\pi=\\\\dfrac{9\\\\pi}{4}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{9\\\\pi}{4}$ est associé au point $B$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{9\\\\pi}{4}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $B$ est le point-image de $\\\\dfrac{\\\\pi}{4}$.<br>\n $\\\\dfrac{\\\\pi}{4}-2\\\\pi=-\\\\dfrac{7\\\\pi}{4}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{7\\\\pi}{4}$ est associé au point $B$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{7\\\\pi}{4}'\n }\n\n break\n\n case 4:// point C\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $C$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{\\\\pi}{3}$ est associé au point $C$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{\\\\pi}{3}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $C$ est le point-image de $\\\\dfrac{\\\\pi}{3}$.<br>\n $\\\\dfrac{\\\\pi}{3}+2\\\\pi=\\\\dfrac{7\\\\pi}{3}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{7\\\\pi}{3}$ est associé au point $C$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{7\\\\pi}{3}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $C$ est le point-image de $\\\\dfrac{\\\\pi}{3}$.<br>\n $\\\\dfrac{\\\\pi}{3}-2\\\\pi=-\\\\dfrac{5\\\\pi}{3}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{5\\\\pi}{3}$ est associé au point $C$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{5\\\\pi}{3}'\n }\n\n break\n\n case 5:// point J\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $J$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{\\\\pi}{2}$ est associé au point $J$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{\\\\pi}{2}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $J$ est le point-image de $\\\\dfrac{\\\\pi}{2}$.<br>\n $\\\\dfrac{\\\\pi}{2}+2\\\\pi=\\\\dfrac{5\\\\pi}{2}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{5\\\\pi}{2}$ est associé au point $J$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{5\\\\pi}{2}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $J$ est le point-image de $\\\\dfrac{\\\\pi}{2}$.<br>\n $\\\\dfrac{\\\\pi}{2}-2\\\\pi=-\\\\dfrac{3\\\\pi}{2}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{3\\\\pi}{2}$ est associé au point $J$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{3\\\\pi}{2}'\n }\n\n break\n\n case 6:// point D\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $D$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{2\\\\pi}{3}$ est associé au point $D$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{2\\\\pi}{3}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $D$ est le point-image de $\\\\dfrac{2\\\\pi}{3}$.<br>\n $\\\\dfrac{2\\\\pi}{3}+2\\\\pi=\\\\dfrac{8\\\\pi}{3}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{8\\\\pi}{3}$ est associé au point $D$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{8\\\\pi}{3}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $D$ est le point-image de $\\\\dfrac{2\\\\pi}{3}$.<br>\n $\\\\dfrac{2\\\\pi}{3}-2\\\\pi=-\\\\dfrac{4\\\\pi}{3}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{4\\\\pi}{3}$ est associé au point $D$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{4\\\\pi}{3}'\n }\n\n break\n\n case 7:// point E\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $E$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{3\\\\pi}{4}$ est associé au point $E$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{3\\\\pi}{4}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $E$ est le point-image de $\\\\dfrac{3\\\\pi}{4}$.<br>\n $\\\\dfrac{3\\\\pi}{4}+2\\\\pi=\\\\dfrac{11\\\\pi}{4}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{11\\\\pi}{4}$ est associé au point $E$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{11\\\\pi}{4}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $E$ est le point-image de $\\\\dfrac{3\\\\pi}{4}$.<br>\n $\\\\dfrac{3\\\\pi}{4}-2\\\\pi=-\\\\dfrac{5\\\\pi}{4}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{5\\\\pi}{4}$ est associé au point $E$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{5\\\\pi}{4}'\n }\n\n break\n\n case 8:// point F\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $F$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]') {\n this.correction = `Le réel $\\\\dfrac{5\\\\pi}{6}$ est associé au point $F$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{5\\\\pi}{6}'\n }\n if (choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $F$ est le point-image de $\\\\dfrac{5\\\\pi}{6}$.<br>\n $\\\\dfrac{5\\\\pi}{6}+2\\\\pi=\\\\dfrac{17\\\\pi}{6}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{17\\\\pi}{6}$ est associé au point $F$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{17\\\\pi}{6}'\n }\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $F$ est le point-image de $\\\\dfrac{5\\\\pi}{6}$.<br>\n $\\\\dfrac{5\\\\pi}{6}-2\\\\pi=-\\\\dfrac{7\\\\pi}{6}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{7\\\\pi}{6}$ est associé au point $F$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{7\\\\pi}{6}'\n }\n\n break\n\n case 9:// point K\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $K$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le réel $-\\\\pi$ est associé au point $K$ dans $${choix}$. `\n this.reponse = '-\\\\pi'\n } else {\n this.correction = `Le réel $\\\\pi$ est associé au point $K$ dans $${choix}$. `\n this.reponse = '\\\\pi'\n }\n\n break\n\n case 10:// point G\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $G$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le réel $\\\\dfrac{7\\\\pi}{6}$ est associé au point $G$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{7\\\\pi}{6}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $G$ est le point-image de $\\\\dfrac{7\\\\pi}{6}$.<br>\n $\\\\dfrac{7\\\\pi}{6}-2\\\\pi=-\\\\dfrac{5\\\\pi}{6}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{5\\\\pi}{6}$ est associé au point $G$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{5\\\\pi}{6}'\n }\n\n break\n case 11:// point H\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $H$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le réel $\\\\dfrac{5\\\\pi}{4}$ est associé au point $H$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{5\\\\pi}{4}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $H$ est le point-image de $\\\\dfrac{5\\\\pi}{4}$.<br>\n $\\\\dfrac{5\\\\pi}{4}-2\\\\pi=-\\\\dfrac{3\\\\pi}{4}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{3\\\\pi}{4}$ est associé au point $H$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{3\\\\pi}{4}'\n }\n\n break\n\n case 12:// point M\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $M$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le réel $\\\\dfrac{4\\\\pi}{3}$ est associé au point $M$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{4\\\\pi}{3}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le point $M$ est le point-image de $\\\\dfrac{4\\\\pi}{3}$.<br>\n $\\\\dfrac{4\\\\pi}{3}-2\\\\pi=-\\\\dfrac{2\\\\pi}{3}\\\\in ${choix}$.<br>\n Le réel $-\\\\dfrac{2\\\\pi}{3}$ est associé au point $M$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{2\\\\pi}{3}'\n }\n\n break\n\n case 13:// point L\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $L$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le réel $\\\\dfrac{3\\\\pi}{2}$ est associé au point $L$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{3\\\\pi}{2}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le réel $-\\\\dfrac{\\\\pi}{2}$ est associé au point $L$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{\\\\pi}{2}'\n }\n\n break\n\n case 14:// point N\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $N$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $N$ est le point-image de $-\\\\dfrac{\\\\pi}{3}$.<br>\n $-\\\\dfrac{\\\\pi}{3}+2\\\\pi=\\\\dfrac{5\\\\pi}{3}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{5\\\\pi}{3}$ est associé au point $N$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{5\\\\pi}{3}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le réel $-\\\\dfrac{\\\\pi}{3}$ est associé au point $N$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{\\\\pi}{3}'\n }\n\n break\n\n case 15:// point P\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $P$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $P$ est le point-image de $-\\\\dfrac{\\\\pi}{4}$.<br>\n $-\\\\dfrac{\\\\pi}{4}+2\\\\pi=\\\\dfrac{7\\\\pi}{4}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{7\\\\pi}{4}$ est associé au point $P$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{7\\\\pi}{4}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le réel $-\\\\dfrac{\\\\pi}{4}$ est associé au point $P$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{\\\\pi}{4}'\n }\n\n break\n\n case 16:// point Q\n choix = choice(['[0\\\\,;\\\\,2\\\\pi[', ']-\\\\pi\\\\,;\\\\,\\\\pi]', '[\\\\pi\\\\,;\\\\,3\\\\pi[', ']-2\\\\pi\\\\;\\\\ 0]'])\n this.question = `Quel réel de $${choix}$ a pour point-image le point $Q$ ?<br>\n\n `\n this.question += `${objet}`\n if (choix === '[0\\\\,;\\\\,2\\\\pi[' || choix === '[\\\\pi\\\\,;\\\\,3\\\\pi[') {\n this.correction = `Le point $Q$ est le point-image de $-\\\\dfrac{\\\\pi}{6}$.<br>\n $-\\\\dfrac{\\\\pi}{6}+2\\\\pi=\\\\dfrac{11\\\\pi}{6}\\\\in ${choix}$.<br>\n Le réel $\\\\dfrac{11\\\\pi}{6}$ est associé au point $Q$ dans $${choix}$. `\n this.reponse = '\\\\dfrac{11\\\\pi}{6}'\n }\n if (choix === ']-\\\\pi\\\\,;\\\\,\\\\pi]' || choix === ']-2\\\\pi\\\\;\\\\ 0]') {\n this.correction = `Le réel $-\\\\dfrac{\\\\pi}{6}$ est associé au point $Q$ dans $${choix}$. `\n this.reponse = '-\\\\dfrac{\\\\pi}{6}'\n }\n\n break\n }\n this.canEnonce = this.question\n this.canReponseACompleter = ''\n 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