File: /home/mmtprep/public_html/mathzen.mmtprep.com/assets/6G20-SOnms2H-.js.map
{"version":3,"file":"6G20-SOnms2H-.js","sources":["../../src/exercices/6e/6G20.js"],"sourcesContent":["import { codageAngle, codageAngleDroit } from '../../lib/2d/angles.js'\nimport { codageSegments } from '../../lib/2d/codages.js'\nimport { point } from '../../lib/2d/points.js'\nimport { barycentre, carre, nommePolygone, polygone } from '../../lib/2d/polygones.js'\nimport { grille, seyes } from '../../lib/2d/reperes.js'\nimport { vecteur } from '../../lib/2d/segmentsVecteurs.js'\nimport { homothetie, rotation, similitude, translation } from '../../lib/2d/transformations.js'\nimport { combinaisonListes } from '../../lib/outils/arrayOutils'\nimport { creerNomDePolygone } from '../../lib/outils/outilString.js'\nimport Exercice from '../Exercice.js'\nimport { mathalea2d, vide2d } from '../../modules/2dGeneralites.js'\nimport { context } from '../../modules/context.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nexport const titre = 'Naming and coding polygons'\n\n/**\n * @author Jean-Claude Lhote\n * Placer les sommets et les égalités de longueur...\n */\nexport const uuid = '90e1a'\nexport const ref = '6G20'\nexport default function NommerEtCoderDesPolygones () {\n Exercice.call(this) // Héritage de la classe Exercice()\n this.nbQuestions = 4\n this.nbCols = 2\n this.nbColsCorr = 2\n this.sup = 3\n\n this.nouvelleVersion = function () {\n this.consigne = this.nbQuestions === 1 ? 'Name the figure' : 'Name the figures'\n this.consigne += ' based on the statement then add the coding.'\n this.listeQuestions = [] // Liste de questions\n this.listeCorrections = [] // Liste de questions corrigées\n this.autoCorrection = []\n let Xmin, Xmax, Ymin, Ymax, sc, g, carreaux\n const ppc = 40\n if (context.isHtml) {\n sc = 0.5\n } else {\n sc = 0.4\n }\n\n let params\n\n const liste = combinaisonListes([1, 2, 3, 4, 5, 6, 7, 8], this.nbQuestions)\n let listeDeNomsDePolygones\n for (\n let i = 0, texte, texteCorr, cpt = 0;\n i < this.nbQuestions && cpt < 50;\n\n ) {\n if (i % 4 === 0) listeDeNomsDePolygones = ['PQD']\n context.pixelsParCm = 40\n let pol, polcode, polsom\n const choisirPolygone = (n) => { // n compris entre 1 et 8 (1 à 4 pour un triangle, 5 à 8 pour une quadrilatère)\n let A, B, C, D\n const nom = creerNomDePolygone(4, listeDeNomsDePolygones); let pnom; let q; let p; let pcode; let enonce\n switch (n) {\n case 1: // triangle isocèle\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(0, 10) / 10, nom[1])\n C = rotation(B, A, randint(25, 80), nom[2])\n q = polygone(A, B, C)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2])\n pcode = [codageSegments('||', 'blue', A, B, A, C), codageAngle(B, C, A, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2), codageAngle(C, B, A, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2)]\n enonce = `The triangle $${nom[0] + nom[1] + nom[2]}$ is isosceles in $${nom[0]}$.<br>`\n break\n case 2: // triangle équilatéral\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(0, 10) / 10, nom[1])\n C = rotation(B, A, 60, nom[2])\n q = polygone(A, B, C)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2])\n pcode = [codageSegments('||', 'blue', A, B, A, C, B, C), codageAngle(B, C, A, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2), codageAngle(C, B, A, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2), codageAngle(C, A, B, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2)]\n enonce = `The triangle $${nom[0] + nom[1] + nom[2]}$ is equilateral.<br>$\\\\phantom{and its length is AB}$`\n break\n case 3: // triangle rectangle\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(0, 10) / 10, nom[1])\n C = similitude(B, A, 90, randint(30, 100) / 100, nom[2])\n q = polygone(A, B, C)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2])\n pcode = codageAngleDroit(B, A, C)\n enonce = `The triangle $${nom[0] + nom[1] + nom[2]}$ is right-angled in $${nom[0]}$.<br>$\\\\phantom{and its length is AB}$`\n break\n case 4: // triangle rectangle isocèle\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(0, 10) / 10, nom[1])\n C = rotation(B, A, 90, nom[2])\n q = polygone(A, B, C)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2])\n pcode = [codageSegments('||', 'blue', A, B, A, C), codageAngleDroit(B, A, C), codageAngle(B, C, A, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2), codageAngle(C, B, A, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2)]\n enonce = `The triangle $${nom[0] + nom[1] + nom[2]}$ is right-angled and isosceles in $${nom[0]}$.`\n break\n // we choose a quadrilateral\n case 5: // carré\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(10, 30) / 10, nom[1])\n q = carre(A, B)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n D = p.listePoints[3]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2] + nom[3])\n pcode = [codageSegments('||', 'blue', A, B, B, C, C, D, D, A), codageAngleDroit(B, A, D), codageAngleDroit(A, B, C), codageAngleDroit(B, C, D), codageAngleDroit(A, D, C)]\n enonce = `The quadrilateral $${nom[0] + nom[1] + nom[2] + nom[3]}$ is a square.<br>$\\\\phantom{and its length is AB}$`\n break\n case 6: // rectangle\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(10, 30) / 10, nom[1])\n C = similitude(A, B, -90, randint(30, 80) / 100, nom[2])\n D = translation(C, vecteur(B, A), nom[3])\n q = polygone(A, B, C, D)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n D = p.listePoints[3]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2] + nom[3])\n pcode = [codageSegments('||', 'blue', A, B, C, D), codageSegments('|', 'red', C, B, A, D), codageAngleDroit(B, A, C), codageAngleDroit(A, B, C), codageAngleDroit(B, C, D), codageAngleDroit(A, D, C)]\n enonce = `The quadrilateral $${nom[0] + nom[1] + nom[2] + nom[3]}$ is a rectangle and $${nom[0] + nom[1]}$ is its length.`\n break\n case 7: // losange\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(10, 30) / 10, nom[1])\n C = rotation(A, B, randint(100, 150), nom[2])\n D = translation(C, vecteur(B, A), nom[3])\n q = polygone(A, B, C, D)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n D = p.listePoints[3]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2] + nom[3])\n pcode = [codageSegments('O', 'blue', A, B, B, C, C, D, D, A), codageAngle(C, D, A, 0.8, '||', 'red', 2, 0.8, 'red', 0.2), codageAngle(C, B, A, 0.8, '||', 'red', 2, 0.8, 'red', 0.2), codageAngle(B, C, D, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2), codageAngle(D, A, B, 0.8, '|', 'blue', 2, 0.8, 'blue', 0.2)]\n enonce = `The quadrilateral $${nom[0] + nom[1] + nom[2] + nom[3]}$ is a rhombus and [$${nom[0] + nom[2]}$] is its largest diagonal.`\n break\n case 8: // trapèze rectangle\n A = point(3, randint(0, 20) / 10, nom[0])\n B = point(randint(7, 8), randint(10, 30) / 10, nom[1])\n D = similitude(B, A, 90, randint(30, 80) / 100, nom[3])\n C = translation(D, homothetie(vecteur(A, B), A, randint(30, 80) / 100), nom[2])\n q = polygone(A, B, C, D)\n p = rotation(q, barycentre(q), randint(0, 360))\n A = p.listePoints[0]\n B = p.listePoints[1]\n C = p.listePoints[2]\n D = p.listePoints[3]\n pnom = nommePolygone(p, nom[0] + nom[1] + nom[2] + nom[3])\n pcode = [codageAngleDroit(B, A, D), codageAngleDroit(C, D, A)]\n enonce = `The quadrilateral $${nom[0] + nom[1] + nom[2] + nom[3]}$ is a rectangular trapezoid of large base $${nom[0] + nom[1]}$ of height $${nom[0] + nom[3]}$.`\n break\n }\n return [p, nom, pcode, pnom, enonce]\n }\n [pol,, polcode, polsom, texte] = choisirPolygone(liste[i])\n if (pol.listePoints.length === 4) {\n Xmin = Math.floor(Math.min(pol.listePoints[0].x, pol.listePoints[1].x, pol.listePoints[2].x, pol.listePoints[3].x) - 1)\n Ymin = Math.floor(Math.min(pol.listePoints[0].y, pol.listePoints[1].y, pol.listePoints[2].y, pol.listePoints[3].y) - 1)\n Xmax = Math.ceil(Math.max(pol.listePoints[0].x, pol.listePoints[1].x, pol.listePoints[2].x, pol.listePoints[3].x) + 1)\n Ymax = Math.ceil(Math.max(pol.listePoints[0].y, pol.listePoints[1].y, pol.listePoints[2].y, pol.listePoints[3].y) + 1)\n } else {\n Xmin = Math.floor(Math.min(pol.listePoints[0].x, pol.listePoints[1].x, pol.listePoints[2].x) - 1)\n Ymin = Math.floor(Math.min(pol.listePoints[0].y, pol.listePoints[1].y, pol.listePoints[2].y) - 1)\n Xmax = Math.ceil(Math.max(pol.listePoints[0].x, pol.listePoints[1].x, pol.listePoints[2].x) + 1)\n Ymax = Math.ceil(Math.max(pol.listePoints[0].y, pol.listePoints[1].y, pol.listePoints[2].y) + 1)\n }\n params = {\n xmin: Xmin,\n ymin: Ymin,\n xmax: Xmax,\n ymax: Ymax,\n pixelsParCm: ppc,\n scale: sc\n }\n if (this.sup < 3) g = grille(Xmin, Ymin, Xmax, Ymax, 'gray', 0.7)\n else g = vide2d()\n if (parseInt(this.sup === 2)) {\n carreaux = seyes(Xmin, Ymin, Xmax, Ymax)\n } else {\n carreaux = vide2d()\n }\n\n pol.epaisseur = 2\n texte += '<br>' + mathalea2d(params, pol, g, carreaux)\n texteCorr = mathalea2d(params, pol, polcode, polsom, g, carreaux)\n if (this.questionJamaisPosee(i, texte)) { // <- laisser le i et ajouter toutes les variables qui rendent les exercices différents (par exemple a, b, c et d)\n this.listeQuestions.push(texte)\n this.listeCorrections.push(texteCorr)\n i++\n }\n cpt++\n }\n listeQuestionsToContenu(this)\n context.pixelsParCm = 20\n }\n this.besoinFormulaireNumerique = [\n 'Notebook type',\n 3,\n ' 1: Notebook with small squares\\n 2: Notebook with large squares (Seyes)\\n 3: Blank sheet'\n 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