File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/can1G09-y4Ws7upW.js.map
{"version":3,"file":"can1G09-y4Ws7upW.js","sources":["../../src/exercices/can/1e/can1G09.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 { rienSi1 } from '../../../lib/outils/ecritures'\nimport { abs } from '../../../lib/outils/nombres'\nimport Exercice from '../../deprecatedExercice.js'\nimport { mathalea2d } from '../../../modules/2dGeneralites.js'\nexport const titre = 'Associer un point à un réel sur un 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 can1G09\n *\n*/\n\nexport const uuid = 'aa661'\nexport const ref = 'can1G09'\nexport default function AngleSurCercleTrigo () {\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 a, k\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')\n const J = point(0, r, 'J')\n const K = point(-r, 0, 'K')\n const L = point(0, -r, 'L')\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, nom, o)\n switch (choice([1, 2, 3, 4, 5])) {\n case 1:// les 0\n a = choice(['0', '2\\\\pi', '4\\\\pi', '-2\\\\pi', '-4\\\\pi', '\\\\pi', '-\\\\pi', '3\\\\pi', '5\\\\pi'])\n this.question = `Quel est le point-image du réel $${a}$ ?<br>\n\n `\n this.question += `${objet}`\n if (a === '0' || a === '2\\\\pi' || a === '4\\\\pi' || a === '-2\\\\pi' || a === '-4\\\\pi') {\n if (a === '0') {\n this.correction = 'Le point $I$ est le point-image du réel $0$.'\n } else { this.correction = `Comme $${a}=0$ modulo $2\\\\pi$, le point-image de $${a}$ est le point $I$. ` }\n this.reponse = 'I'\n }\n if (a === '\\\\pi' || a === '-\\\\pi' || a === '3\\\\pi' || a === '5\\\\pi') {\n if (a === '\\\\pi') {\n this.correction = 'Le point $K$ est le point-image du réel $\\\\pi$.'\n } else { this.correction = `Comme $${a}=\\\\pi$ modulo $2\\\\pi$, le point-image de $${a}$ est le point $K$. ` }\n this.reponse = 'K'\n }\n break\n case 2:// les pi/6\n k = choice([1, 5, 7, 11, 13]) * choice([-1, 1])\n if (k > 0) {\n this.question = `Quel est le point-image du réel $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}$ ?<br>\n\n `\n } else {\n this.question = `Quel est le point-image du réel $-\\\\dfrac{${rienSi1(abs(k))}\\\\pi}{6}$ ?<br>\n\n `\n }\n this.question += `${objet}`\n if (k === 1 || k === 13 || k === -11) {\n if (k === 1) { this.correction = 'Le point $A$ est le point-image du réel $\\\\dfrac{\\\\pi}{6}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}=\\\\dfrac{\\\\pi}{6}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}$ est le point $A$.` }\n this.reponse = 'A'\n }\n if (k === 5 || k === -7) {\n if (k === 5) { this.correction = 'Le point $F$ est le point-image du réel $\\\\dfrac{5\\\\pi}{6}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}=\\\\dfrac{5\\\\pi}{6}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}$ est le point $F$. ` }\n this.reponse = 'F'\n }\n if (k === 7 || k === -5) {\n if (k === 7) { this.correction = `Le point $G$ est le point-image du réel $\\\\dfrac{${k}\\\\pi}{6}$.` } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}=\\\\dfrac{7\\\\pi}{6}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}$ est le point $G$. ` }\n this.reponse = 'G'\n }\n if (k === 11 || k === -1 || k === -13) {\n if (k === -1) { this.correction = 'Le point $Q$ est le point-image du réel $-\\\\dfrac{\\\\pi}{6}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}=\\\\dfrac{7\\\\pi}{6}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{6}$ est le point $Q$. ` }\n this.reponse = 'Q'\n }\n break\n\n case 3:// les pi/4\n k = choice([1, 3, 5, 7, 9]) * choice([-1, 1])\n if (k > 0) {\n this.question = `Quel est le point-image du réel $\\\\dfrac{${rienSi1(k)}\\\\pi}{4}$ ?<br>\n\n `\n } else {\n this.question = `Quel est le point-image du réel $-\\\\dfrac{${rienSi1(abs(k))}\\\\pi}{4}$ ?<br>\n\n `\n }\n this.question += `${objet}`\n if (k === 1 || k === 9 || k === -7) {\n if (k === 1) { this.correction = 'Le point $B$ est le point-image du réel $\\\\dfrac{\\\\pi}{4}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{4}=\\\\dfrac{\\\\pi}{4}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{4}$ est le point $B$.` }\n this.reponse = 'B'\n }\n if (k === 3 || k === -5) {\n if (k === 3) { this.correction 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4:// les pi/3\n k = choice([1, 2, 4, 5, 7, 8]) * choice([-1, 1])\n if (k > 0) {\n this.question = `Quel est le point-image du réel $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}$ ?<br>\n\n `\n } else {\n this.question = `Quel est le point-image du réel $-\\\\dfrac{${rienSi1(abs(k))}\\\\pi}{3}$ ?<br>\n\n `\n }\n this.question += `${objet}`\n if (k === 1 || k === 7 || k === -5) {\n if (k === 1) { this.correction = 'Le point $C$ est le point-image du réel $\\\\dfrac{\\\\pi}{3}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}=\\\\dfrac{\\\\pi}{3}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}$ est le point $C$.` }\n this.reponse = 'C'\n }\n if (k === 2 || k === -4 || k === 8) {\n if (k === 2) { this.correction = 'Le point $D$ est le point-image du réel $\\\\dfrac{2\\\\pi}{3}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}=\\\\dfrac{2\\\\pi}{3}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}$ est le point $D$. ` }\n this.reponse = 'D'\n }\n if (k === 4 || k === -2 || k === -8) {\n if (k === 5) { this.correction = `Le point $M$ est le point-image du réel $\\\\dfrac{${k}\\\\pi}{3}$.` } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}=-\\\\dfrac{2\\\\pi}{3}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}$ est le point $M$. ` }\n this.reponse = 'M'\n }\n if (k === 5 || k === -1 || k === -7) {\n if (k === -1) { this.correction = 'Le point $N$ est le point-image du réel $-\\\\dfrac{\\\\pi}{3}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}=-\\\\dfrac{\\\\pi}{3}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{3}$ est le point $N$. ` }\n this.reponse = 'N'\n }\n break\n\n case 5:// les pi/2\n k = choice([1, 3, 5, 7]) * choice([-1, 1])\n if (k > 0) {\n this.question = `Quel est le point-image du réel $\\\\dfrac{${rienSi1(k)}\\\\pi}{2}$ ?<br>\n\n `\n } else {\n this.question = `Quel est le point-image du réel $-\\\\dfrac{${rienSi1(abs(k))}\\\\pi}{2}$ ?<br>\n\n `\n }\n this.question += `${objet}`\n if (k === 1 || k === 5 || k === -3 || k === -7) {\n if (k === 1) { this.correction = 'Le point $J$ est le point-image du réel $\\\\dfrac{\\\\pi}{2}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{2}=\\\\dfrac{\\\\pi}{2}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{2}$ est le point $J$.` }\n this.reponse = 'J'\n }\n if (k === 3 || k === -1 || k === -5 || k === 7) {\n if (k === -1) { this.correction = 'Le point $L$ est le point-image du réel $-\\\\dfrac{\\\\pi}{2}$.' } else { this.correction = `Comme $\\\\dfrac{${rienSi1(k)}\\\\pi}{2}=-\\\\dfrac{\\\\pi}{2}$ modulo $2\\\\pi$, le point-image de $\\\\dfrac{${rienSi1(k)}\\\\pi}{2}$ est le point $L$. ` }\n this.reponse = 'L'\n }\n\n break\n }\n this.canEnonce = this.question\n this.canReponseACompleter = ''\n 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