{"version":3,"file":"6N21-ump57kWF.js","sources":["../../src/exercices/6e/6N21.ts"],"sourcesContent":["import { combinaisonListes } from '../../lib/outils/arrayOutils'\nimport { deprecatedTexFraction } from '../../lib/outils/deprecatedFractions.js'\nimport { lettreIndiceeDepuisChiffre } from '../../lib/outils/outilString.js'\nimport Exercice from '../ExerciceTs'\nimport { listeQuestionsToContenu, randint } from '../../modules/outils.js'\nimport { context } from '../../modules/context.js'\nimport Figure from 'apigeom'\nimport figureApigeom from '../../lib/figureApigeom.js'\nimport { arrondi } from '../../lib/outils/nombres.js'\nimport GraduatedLine from 'apigeom/src/elements/grid/GraduatedLine.js'\nimport { orangeMathalea } from 'apigeom/src/elements/defaultValues.js'\n\nexport const dateDeModifImportante = '12/12/2023'\nexport const titre = 'Placing fractions on a number line'\nexport const interactifReady = true\nexport const interactifType = 'custom'\nexport const amcReady = true\nexport const amcType = 'AMCHybride'\n\n/**\n * Description didactique de l'exercice :\n * @author Rémi Angot\n * Référence 6N21\n * publié le 29/6/2021\n */\nexport const uuid = '2ba53'\nexport const ref = '6N21'\n\ntype goodAnswer = { label: string, x: number }[]\n\nclass PlacerPointsAbscissesFractionnaires extends Exercice {\n  figures: Figure[] = []\n  goodAnswers: goodAnswer[] = []\n  constructor () {\n    super()\n    this.consigne = ''\n    this.nbQuestions = 5\n    this.sup = 1\n    this.exoCustomResultat = true\n    this.besoinFormulaireNumerique = ['Niveau de difficulté', 4, '1 : Demis, tiers ou quarts avec zéro placé\\n2 : Des cinquièmes aux neuvièmes avec zéro placé \\n3 : Toutes les fractions précédentes mais zéro non visible\\n4 : Mélange']\n  }\n\n  nouvelleVersion () {\n    this.sup = parseInt(this.sup)\n    this.listeQuestions = [] // Liste de questions\n    this.listeCorrections = [] // Liste de questions corrigées\n    this.autoCorrection = []\n    let typeDeQuestions\n    if (this.sup > 3) {\n      typeDeQuestions = combinaisonListes([1, 2, 3], this.nbQuestions)\n    } else {\n      typeDeQuestions = combinaisonListes([parseInt(this.sup)], this.nbQuestions)\n    }\n    const fractionsUtilisees: Array<[number, number]> = [] // Pour s'assurer de ne pas poser 2 fois la même question\n    const tableUtilisées: [number[], number[], number[]] = [[], [], []]\n    for (let i = 0, cpt = 0; i < this.nbQuestions && cpt < 50;) {\n      let texte = ''\n      let texteCorr = ''\n      let origine, num, den : number\n      const scale = 2\n      switch (typeDeQuestions[i]) {\n        case 1: // Placer des demis aux quarts sur un axe\n          origine = this.sup > 4 ? randint(-4, 1) : 0\n          den = randint(2, 4, tableUtilisées[0])\n          num = origine * den + randint(1, den * 4)\n          tableUtilisées[0].push(den)\n          if (tableUtilisées[0].length === 3) tableUtilisées[0] = []\n          break\n        case 2: // Placer des cinquièmes aux neuvièmes sur un axe\n          origine = this.sup > 4 ? randint(-4, 1) : 0\n          den = randint(5, 9, tableUtilisées[1])\n          num = origine * den + randint(1, den * 4)\n          tableUtilisées[1].push(den)\n          if (tableUtilisées[1].length === 5) tableUtilisées[1] = []\n          break\n        default: // Placer des demis aux neuvièmes à partir d'un entier >=1 sur un axe\n          origine = this.sup > 4 ? randint(-4, 1) : randint(1, 7)\n          den = randint(2, 9, tableUtilisées[2])\n          num = randint(origine * den + 1, (origine + 4) * den, den)\n          tableUtilisées[2].push(den)\n          if (tableUtilisées[2].length === 8) tableUtilisées[2] = []\n      }\n\n      const num2 = randint(origine * den + 1, (origine + 4) * den, [num, den])\n      const num3 = randint(origine * den + 1, (origine + 4) * den, [num, num2, den])\n\n      const label1 = lettreIndiceeDepuisChiffre(i * 3 + 1)\n      const label2 = lettreIndiceeDepuisChiffre(i * 3 + 2)\n      const label3 = lettreIndiceeDepuisChiffre(i * 3 + 3)\n\n      this.goodAnswers[i] = [\n        { label: label1, x: arrondi(num / den, 4) },\n        { label: label2, x: arrondi(num2 / den, 4) },\n        { label: label3, x: arrondi(num3 / den, 4) }\n      ]\n\n      texte = `Place the points $${label1}\\\\left(${deprecatedTexFraction(num, den)}\\\\right)$, $~${label2}\\\\left(${deprecatedTexFraction(num2, den)}\\\\right)$ et $~${label3}\\\\left(${deprecatedTexFraction(num3, den)}\\\\right)$.`\n      const { figure, latex } = apigeomGraduatedLine({ xMin: origine, xMax: origine + 4, scale, stepBis: arrondi(1 / den, 6) })\n      figure.options.labelAutomaticBeginsWith = label1\n      figure.options.pointDescriptionWithCoordinates = false\n      this.figures[i] = figure\n      const { figure: figureCorr, latex: latexCorr } = apigeomGraduatedLine({ xMin: origine, xMax: origine + 4, scale, stepBis: arrondi(1 / den, 6), points: this.goodAnswers[i] })\n      figureCorr.create('Point', { label: label1, x: arrondi(num / den, 4), color: orangeMathalea, colorLabel: orangeMathalea, shape: 'x', labelDxInPixels: 0 })\n      figureCorr.create('Point', { label: label2, x: arrondi(num2 / den, 4), color: orangeMathalea, colorLabel: orangeMathalea, labelDxInPixels: 0 })\n      figureCorr.create('Point', { label: label3, x: arrondi(num3 / den, 4), color: orangeMathalea, colorLabel: orangeMathalea, labelDxInPixels: 0 })\n\n      switch (true) {\n        case context.isHtml && this.interactif:\n          texte += '<br>' + figureApigeom({ exercice: this as Exercice, idApigeom: `ex${this.numeroExercice}Q${i}`, figure })\n          texteCorr += figureCorr.getStaticHtml()\n          break\n        case context.isHtml:\n          texte += '<br>' + figure.getStaticHtml()\n          texteCorr += figureCorr.getStaticHtml()\n          break\n        default:\n          texte += '\\n\\n' + latex\n          texteCorr += '\\\\;\\n' + latexCorr\n          break\n      }\n\n      if (context.isAmc) {\n        this.autoCorrection[i] = {\n          enonce: 'ici la (ou les) question(s) est(sont) posée(s)',\n          enonceAvant: false, // EE : ce champ est facultatif et permet (si false) de supprimer l'énoncé ci-dessus avant la numérotation de chaque question.\n          enonceAvantUneFois: false, // EE : ce champ est facultatif et permet (si true) d'afficher l'énoncé ci-dessus une seule fois avant la numérotation de la première question de l'exercice. Ne fonctionne correctement que si l'option melange est à false.\n          propositions: [\n            {\n              type: 'AMCOpen', // on donne le type de la première question-réponse qcmMono, qcmMult, AMCNum, AMCOpen\n              propositions: [\n                {\n                  texte: texteCorr,\n                  statut: 3, // OBLIGATOIRE (ici c'est le nombre de lignes du cadre pour la réponse de l'élève sur AMC)\n                  enonce: texte,\n                  sanscadre: true // EE : ce champ est facultatif et permet (si true) de cacher le cadre et les lignes acceptant la réponse de l'élève\n                }\n              ]\n            }\n          ]\n        }\n      }\n      if (!isArrayInArray(fractionsUtilisees, [num, den])) {\n        // Si la question n'a jamais été posée, on en crée une autre\n        this.listeQuestions.push(texte)\n        this.listeCorrections.push(texteCorr)\n        i++\n        fractionsUtilisees[i] = [num, den]\n      }\n      cpt++\n    }\n\n    listeQuestionsToContenu(this)\n  }\n\n  correctionInteractive = (i?: number) => {\n    if (i === undefined) return ['KO']\n    const result: ('OK'|'KO')[] = []\n    const figure = this.figures[i]\n    figure.isDynamic = false\n    figure.divButtons.style.display = 'none'\n    figure.divUserMessage.style.display = 'none'\n    const goodAnswer = this.goodAnswers[i]\n    const divFeedback = document.querySelector(`#feedback${`ex${this.numeroExercice}Q${i}`}`)\n    for (let j = 0; j < goodAnswer.length; j++) {\n      const label = goodAnswer[j].label\n      const x = goodAnswer[j].x\n      const { isValid, points } = figure.checkCoords({ checkOnlyAbscissa: true, label, x, y: 0 })\n      const point = points[0]\n      if (isValid) {\n        result.push('OK')\n        point.color = 'green'\n        point.colorLabel = 'green'\n        point.thickness = 3\n      } else {\n        result.push('KO')\n        if (point !== undefined) {\n          point.color = 'red'\n          point.colorLabel = 'red'\n          point.color = 'red'\n          point.thickness = 3\n        }\n      }\n    }\n    if (divFeedback != null) {\n      if (result[0] === 'OK' && result[1] === 'OK' && result[2] === 'OK') {\n        divFeedback.innerHTML = '😎'\n      } else {\n        const p = document.createElement('p')\n        p.innerText = '☹️'\n        divFeedback.insertBefore(p, divFeedback.firstChild)\n      }\n    }\n    return result\n  }\n}\n\n/**\n * Vérifie la présence d'un tableau dans un tableau de tableau\n * @param {array} arr\n * @param {array} item\n * @returns {boolean}\n */\nfunction isArrayInArray (arr: Array<[number, number]>, item: [number, number]) {\n  const itemAsString = JSON.stringify(item)\n  const contains = arr.some(function (ele) {\n    return JSON.stringify(ele) === itemAsString\n  })\n  return contains\n}\n\nfunction apigeomGraduatedLine ({ xMin, xMax, scale = 1, points, step = 1, stepBis = 0.25 }: {\n  xMin: number,\n  xMax: number,\n  scale?: number,\n  step?: number,\n  stepBis?: number,\n  points?: Array<{ x: number, label: string }>\n}): { figure: Figure, latex: string} {\n  const width = 900\n  const height = 80\n  const figure = new Figure({ xMin: xMin - 0.2 / scale, yMin: -1.5, width, height, dy: 10, dx: stepBis, xScale: 3 * scale, snapGrid: true })\n  figure.setToolbar({ tools: ['POINT', 'DRAG', 'REMOVE'], position: 'top' })\n\n  const d = new GraduatedLine(figure, { min: xMin, max: xMax, step, stepBis })\n  d.draw()\n  let latex = `\\n\\\\bigskip\n  \\\\begin{tikzpicture}[x=2.5mm]\n  \\\\draw[-{Latex[round]},thick] (0,0) -- (61,0);\n  \\\\foreach \\\\x in {0,${10 * stepBis},...,60} \\\\draw[thick] ([yshift=-0.8mm]\\\\x,0) -- ([yshift=0.8mm]\\\\x,0);\n  \\\\foreach \\\\x [count=\\\\i from 0] in {0,10,...,60} \\\\draw[ultra thick] ([yshift=-1.5mm]\\\\x,0) coordinate (a\\\\i) -- ([yshift=1.5mm]\\\\x,0);\n  \\\\foreach \\\\x [count=\\\\i from 0] in {${xMin},${xMin + 1},${xMin + 2},${xMin + 3},${xMin + 4},${xMin + 5},${xMin + 6}} {\n    \\\\node[below=2mm of a\\\\i,inner sep=0pt,font=\\\\small] {$\\\\num{\\\\x}$};\n  }`\n  if (points !== undefined) {\n    const xA = arrondi((points[0].x - xMin) * scale * 10)\n    const xB = arrondi((points[1].x - xMin) * scale * 10)\n    const xC = arrondi((points[2].x - xMin) * scale * 10)\n    const labelA = points[0].label\n    const labelB = points[1].label\n    const labelC = points[2].label\n    latex += `\\n\\\\tkzText[above=2mm](${xA},0){${labelA}}\n    \\n\\\\tkzText[above=2mm](${xB},0){${labelB}}\n    \\n\\\\tkzText[above=2mm](${xC},0){${labelC}}\n    \\n\\\\tkzDrawPoint[shape=cross out, size=5pt, thick](${xA},0)\n    \\n\\\\tkzDrawPoint[shape=cross out, size=5pt, thick](${xB},0)\n    \\n\\\\tkzDrawPoint[shape=cross out, size=5pt, thick](${xC},0)`\n  }\n  latex += '\\n\\\\end{tikzpicture}'\n\n  return { figure, latex }\n}\n\nexport default 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