{"version":3,"file":"6G53-2pJLJUJT.js","sources":["../../src/exercices/6e/6G53.js"],"sourcesContent":["import { codageAngleDroit } from '../../lib/2d/angles.js'\nimport { afficheLongueurSegment } from '../../lib/2d/codages.js'\nimport { distancePointDroite, droite } from '../../lib/2d/droites.js'\nimport { point, tracePoint } from '../../lib/2d/points.js'\nimport { polygoneAvecNom } from '../../lib/2d/polygones.js'\nimport { segment } from '../../lib/2d/segmentsVecteurs.js'\nimport { labelPoint } from '../../lib/2d/textes.js'\nimport { projectionOrtho } from '../../lib/2d/transformations.js'\nimport { choisitLettresDifferentes } from '../../lib/outils/aleatoires.js'\nimport { texNombre } from '../../lib/outils/texNombre.js'\nimport Exercice from '../Exercice.js'\nimport { mathalea2d } from '../../modules/2dGeneralites.js'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { context } from '../../modules/context.js'\nexport const titre = 'Measure the distance from a point to a line'\n\nexport const dateDePublication = '01/03/2023'\n\n/**\n * Simple exercice de mesure de distance entre un point et une droite\n * @author Guillaume Valmont\n * Référence 6G53\n*/\nexport const uuid = '29c3b'\nexport const ref = '6G53'\nexport default class MesurerDistancePointDroite extends Exercice {\n  constructor () {\n    super()\n    this.titre = titre\n    this.nbQuestions = 1\n  }\n\n  nouvelleVersion () {\n    this.listeQuestions = []\n    this.listeCorrections = []\n    this.autoCorrection = []\n\n    for (let i = 0, texte, texteCorr, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      const objetsEnonce = []\n      const objetsCorrection = []\n      const O = point(0, 0)\n      const B = point(randint(-4, 4, [0]), randint(-3, 4, [0]))\n      const d = droite(O, B, '(d)')\n      let A = point(randint(-4, 4), randint(-3, 4), choisitLettresDifferentes(1, 'OH')[0])\n      while (distancePointDroite(A, d) < 1) {\n        A = point(randint(-4, 4), randint(-3, 4), choisitLettresDifferentes(1, 'OH')[0])\n      }\n      const traceA = tracePoint(A)\n      traceA.taille = context.isHtml ? 2 : 1\n      objetsEnonce.push(traceA, labelPoint(A), d)\n      objetsCorrection.push(traceA, d)\n      const H = projectionOrtho(A, d, 'H')\n      if (A.y > H.y) H.positionLabel = 'below'\n      const segmentAH = segment(A, H)\n      segmentAH.pointilles = 5\n      const AH = polygoneAvecNom(A, H)\n      objetsCorrection.push(AH[0], AH[1], afficheLongueurSegment(A, H), codageAngleDroit(A, H, B))\n      const xmin = -5\n      const xmax = 5\n      const ymin = -4\n      const ymax = 5\n      const paramsEnonce = { xmin, ymin, xmax, ymax, pixelsParCm: 20, scale: 1 }\n      texteCorr = '' + mathalea2d(paramsEnonce, objetsCorrection) + '<br>'\n      texteCorr += `To measure the distance between the point $${A.nom}$ and the line ($d$) :<br>\n      - we use the square to draw the perpendicular to the line ($d$)) which passes through the point $${A.nom}$<br>\n      - if we name $${H.nom}$ the foot of the perpendicular, then the distance between the point $${A.nom}$ and the line ($d$) is the length $${A.nom + H.nom} = ${texNombre(distancePointDroite(A, d), 1)} cm$`\n      texte = `Measure the distance between the point $${A.nom}$ and the line ($d$).<br>`\n      texte += mathalea2d(paramsEnonce, objetsEnonce)\n      if (this.questionJamaisPosee(i, A.nom)) {\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n      }\n      cpt++\n    }\n    listeQuestionsToContenu(this)\n  }\n}\n"],"names":["titre","dateDePublication","uuid","ref","MesurerDistancePointDroite","Exercice","texte","texteCorr","cpt","objetsEnonce","objetsCorrection","O","point","B","randint","d","droite","A","choisitLettresDifferentes","distancePointDroite","traceA","tracePoint","context","labelPoint","H","projectionOrtho","segmentAH","segment","AH","polygoneAvecNom","afficheLongueurSegment","codageAngleDroit","paramsEnonce","mathalea2d","texNombre","listeQuestionsToContenu"],"mappings":"kOAcY,MAACA,EAAQ,8CAERC,EAAoB,aAOpBC,EAAO,QACPC,EAAM,OACJ,MAAMC,UAAmCC,CAAS,CAC/D,aAAe,CACb,MAAO,EACP,KAAK,MAAQL,EACb,KAAK,YAAc,CACpB,CAED,iBAAmB,CACjB,KAAK,eAAiB,CAAE,EACxB,KAAK,iBAAmB,CAAE,EAC1B,KAAK,eAAiB,CAAE,EAExB,QAAS,EAAI,EAAGM,EAAOC,EAAWC,EAAM,EAAG,EAAI,KAAK,aAAeA,EAAM,IAAK,CAC5E,MAAMC,EAAe,CAAE,EACjBC,EAAmB,CAAE,EACrBC,EAAIC,EAAM,EAAG,CAAC,EACdC,EAAID,EAAME,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,EAAGA,EAAQ,GAAI,EAAG,CAAC,CAAC,CAAC,CAAC,EAClDC,EAAIC,EAAOL,EAAGE,EAAG,KAAK,EAC5B,IAAII,EAAIL,EAAME,EAAQ,GAAI,CAAC,EAAGA,EAAQ,GAAI,CAAC,EAAGI,EAA0B,EAAG,IAAI,EAAE,CAAC,CAAC,EACnF,KAAOC,EAAoBF,EAAGF,CAAC,EAAI,GACjCE,EAAIL,EAAME,EAAQ,GAAI,CAAC,EAAGA,EAAQ,GAAI,CAAC,EAAGI,EAA0B,EAAG,IAAI,EAAE,CAAC,CAAC,EAEjF,MAAME,EAASC,EAAWJ,CAAC,EAC3BG,EAAO,OAASE,EAAQ,OAAS,EAAI,EACrCb,EAAa,KAAKW,EAAQG,EAAWN,CAAC,EAAGF,CAAC,EAC1CL,EAAiB,KAAKU,EAAQL,CAAC,EAC/B,MAAMS,EAAIC,EAAgBR,EAAGF,EAAG,GAAG,EAC/BE,EAAE,EAAIO,EAAE,IAAGA,EAAE,cAAgB,SACjC,MAAME,EAAYC,EAAQV,EAAGO,CAAC,EAC9BE,EAAU,WAAa,EACvB,MAAME,EAAKC,EAAgBZ,EAAGO,CAAC,EAC/Bd,EAAiB,KAAKkB,EAAG,CAAC,EAAGA,EAAG,CAAC,EAAGE,EAAuBb,EAAGO,CAAC,EAAGO,EAAiBd,EAAGO,EAAGX,CAAC,CAAC,EAK3F,MAAMmB,EAAe,CAAE,KAJV,GAIgB,KAFhB,GAEsB,KAHtB,EAG4B,KAD5B,EACkC,YAAa,GAAI,MAAO,CAAG,EAC1EzB,EAAY,GAAK0B,EAAWD,EAActB,CAAgB,EAAI,OAC9DH,GAAa,8CAA8CU,EAAE,GAAG;AAAA,yGACmCA,EAAE,GAAG;AAAA,sBACxFO,EAAE,GAAG,yEAAyEP,EAAE,GAAG,uCAAuCA,EAAE,IAAMO,EAAE,GAAG,MAAMU,EAAUf,EAAoBF,EAAGF,CAAC,EAAG,CAAC,CAAC,OACpMT,EAAQ,2CAA2CW,EAAE,GAAG,4BACxDX,GAAS2B,EAAWD,EAAcvB,CAAY,EAC1C,KAAK,oBAAoB,EAAGQ,EAAE,GAAG,IACnC,KAAK,eAAe,KAAKX,CAAK,EAC9B,KAAK,iBAAiB,KAAKC,CAAS,EACpC,KAEFC,GACD,CACD2B,EAAwB,IAAI,CAC7B,CACH"}