import Exercice from '../../Exercice.js'
import { randint } from '../../../modules/outils.js'
import { complex, multiply } from 'mathjs'
export const titre = 'produit de nombres complexes'
export const interactifReady = true
export const interactifType = 'mathLive'
export const amcReady = true
export const amcType = 'AMCHybride'
export const dateDePublication = '26/10/2021'
/**
* Question de can : calcul de la somme de deux nombres complexes
* @author Jean-Claude Lhote
* Référence canExC02
*/
export const uuid = '30cc1'
export const ref = 'canExC02'
export default function SommeDeComplexes () {
Exercice.call(this) // Héritage de la classe Exercice()
this.nbQuestions = 1
this.typeExercice = 'simple'
this.nouvelleVersion = function () {
const z1 = complex(randint(-5, 5, 0), randint(-5, 5, 0))
const z2 = complex(0, randint(-5, 5, 0))
this.question = `On donne $~~a = ${z1.toString()}~~$ et $~~b = ${z2.toString()}$.<br>Calcule $a \\times b$.`
this.correction = `$${z1.toString()} \\times ${z2.toString()} = ${multiply(z1, z2).toString()}$`
this.reponse = multiply(z1, z2)
this.autoCorrection[0] = {
enonce: this.question,
propositions: [
{
type: 'AMCNum',
propositions: {
texte: this.correction
},
reponse: {
valeur: multiply(z1, z2).re,
digits: 2,
deciams: 0,
signe: true,
approx: 0
}
},
{
type: 'AMCNum',
propositions: {
texte: ''
},
reponse: {
valeur: multiply(z1, z2).im,
digits: 2,
deciams: 0,
signe: true,
approx: 0
}
}
]
}
}
}