import{E as d,h as F,i as x,q as o,r as b,J as y,aQ as f,aN as E,n as c,U as p,C as g,o as C,a0 as q,m as v,aq as M}from"./index-XCg2QAX4.js";const D='Calculer le "milieu" entre 1 et une fraction',R=!0,w="mathLive",B="5da59",I="can2C09";function N(){d.call(this),this.typeExercice="simple",this.nbQuestions=1,this.tailleDiaporama=2,this.formatChampTexte="largeur15 inline",this.tailleDiaporama=2,this.formatInteractif="fraction",this.nouvelleVersion=function(){const $=F([[10,3],[5,4],[7,4],[10,7],[11,7],[12,7],[9,7],[13,7],[11,8],[11,9],[7,6],[12,11],[4,3],[7,5],[13,7],[13,9],[13,11],[13,12],[14,11]]),r=$[0],i=$[1],a=x(r,i),l=x(i,i),h=a.sommeFraction(l),u=x(1,2),s=h.produitFraction(u),m=o(0,0,"1","below"),t=o(b(8,12),0),n=y(m,t,"M","below"),e=[];e.push(f(m,n),f(n,t),E("||","blue",m,n,n,t)),e.push(c(`${p(1)}`,0,-.6)),e.push(c(`${p(r)}`,t.x,t.y-.5)),e.push(g(o(t.x-.3,t.y-.8),o(t.x+.3,t.y-.8))),e.push(c("M",n.x,n.y-.5)),e.push(c(`${p(i)}`,t.x,t.y-1.1)),this.question=`Donner l'abscisse du point $M$ sous forme d’une fraction irréductible.<br>
    `,this.question+=C({xmin:-.5,ymin:-2,xmax:t.x+1,ymax:1,pixelsParCm:30,mainlevee:!1,amplitude:.4,scale:.6,style:"margin: auto"},e),this.correction=`On calcule la moyenne de $1$ et $${a.texFraction}$ :<br>
    $x_I=\\dfrac{1+${a.texFraction}}{2}=
    \\dfrac{${l.texFraction}+${a.texFraction}}{2}=
        ${h.texFraction}\\times ${u.texFraction}=
        ${q(i+r,2*i)===1?`${v(s.texFraction)}`:`${s.texFraction}`} ${s.texSimplificationAvecEtapes(!1,"#f15929")}$ <br><br>`,this.correction+=M(` Mentalement : <br>
        On calcule d'abord $1+${a.texFraction}$ en n'oubliant pas que $1=${l.texFraction}$, puis on multiplie le résultat par $${u.texFraction}$.`),this.reponse=s.simplifie(),this.canEnonce=this.question,this.canReponseACompleter=""}}export{N as default,R as interactifReady,w as interactifType,I as ref,D as titre,B as uuid};
//# sourceMappingURL=can2C09--vTbLCXk.js.map