import{E as we,bE as ue,q as P,h as pe,r as c,al as t,aE as v,bn as k,C as E,bo as ve,I as D,u as T,b4 as R,aK as A,A as a,a as I,s as K,c as S,bq as h,az as U,ae as J,o as me,l as Ee}from"./index-hc8lvKav.js";import{b as X}from"./style-0IaNCtso.js";const De="Measure an angle with built-in protractor",Te="mathLive",Ne=!0,Re=!0,Be="AMCHybride",Pe="26/04/2022",Se="ff2cc",qe="6G23-4";function Qe(){we.call(this),this.consigne="",this.nbQuestions=1,this.sup=1,this.sup2=7,this.sup3=4,this.sup4=!1,this.nouvelleVersion=function(){this.listeQuestions=[],this.listeCorrections=[],this.autoCorrection=[];let Y;for(let f=0,u,Z,d,b,g,$,C,p,oe,ae;f<this.nbQuestions;f++){const q=[],Q=[],W=[],m=ue(7,12,this.sup2,12);d=P(-(m+3),0),b=P(-(m+3),m+3),g=P(m+3,0),$=P(m+3,m+3);const l=ue(1,4,this.sup3,1),N=pe([-1,1]),j=pe([-1,1]),n=c(1,26,[4,5,15,23,24,25]),M=c(1,26,[4,5,15,23,24,25,n]),y=c(1,26,[4,5,15,23,24,25,n,M]),s=this.sup===1?90+N*90:this.sup===2?N*90:c(0,360)-180;j*N===1?Z=s>135?"above":s>45?"right":s>-45?"below":s>-135?"left":"above":Z=s>135?"below":s>45?"left":s>-45?"above":s>-135?"right":"below";const i=P(0,0,t(n),Z),B=v(P(m+3,0),i,s),fe=s>135?"above":s>45?"right":s>-45?"below":s>-135?"left":"above",z=k(i,B,m+c(10,25)/10,t(M),fe),e=N*j*c(10,170-20*(l-1),[90]),de=h(s+e)>135?"above":h(s+e)>45?"right":h(s+e)>-45?"below":h(s+e)>-135?"left":"above",_=v(B,i,e),G=k(i,_,m+c(10,25)/10,t(y),de),ie=E(i,B),be=E(i,_),ne=E(i,_,"red");ne.epaisseur=2;const re=ve({x:0,y:0,taille:m,depart:e<0?s+180:s,semi:!0,avecNombre:"both directions"});if(g=v(g,i,e<0?s+180:s),$=v($,i,e<0?s+180:s),d=v(d,i,e<0?s+180:s),b=v(b,i,e<0?s+180:s),Q.push(re,ie,be,D(i,z,G),T(z,G)),W.push(re,ie,ne,D(i,z,G),T(z,G)),u=l>1?`${R(0)}`:"",p=u,u+=`What is the measure, in degrees, of the angle $\\widehat{${t(M)+t(n)+t(y)}}$?`,C=l>1?"<br>"+u:u,p+=`As the half-line (${t(M)+t(n)}] passes through the ${X(0)} graduation of the protractor and the half-line (${t(y)+t(n)}] passes through the ${A(a(e),"red")} graduation of the protractor, we read that the angle $\\widehat{${t(M)+t(n)+t(y)}}$ measures ${A(a(e)+"°")}.<br>`,this.interactif&&(C+=I(this,f*l,"inline width25",{texteApres:" °"})),K(this,f*l,a(e)),S.isAmc&&(q[0]={type:"AMCNum",propositions:[{texte:"",reponse:{texte:u,valeur:a(e),alignement:"center",param:{digits:3,decimals:0,signe:!1,approx:0}},options:{ordered:!1,lastChoice:!1}}]}),l>1){const o=this.sup4&l===2?h(180-e):N*j*c(10,170-20*(l-2)-a(e)),ee=v(B,i,e+o),w=c(1,26,[4,5,15,23,24,25,n,M,y]),ge=h(s+e+o)>135?"above":h(s+e+o)>45?"right":h(s+e+o)>-45?"below":h(s+e+o)>-135?"left":"above",H=k(i,ee,m+c(10,25)/10,t(w),ge),$e=E(i,ee),he=E(i,ee,"blue");if(he.epaisseur=2,u=`${R(1)} What is the measure, in degrees, of the angle $\\widehat{${t(y)+t(n)+t(w)}}$?`,C+="<br>"+u,p+=`<br>${R(1)} The half-line (${t(y)+t(n)}] passes through the ${A(a(e),"red")} graduation of the protractor. `,p+=`The half-line (${t(w)+t(n)}] passes through the ${A(a(e+o),"blue")} graduation of the protractor. `,p+=`And ${a(e+o)}-${a(e)}=${X(a(o))}.<br>So we deduce that the angle $\\widehat{${t(y)+t(n)+t(w)}}$ measures ${A(a(o)+"°")}.<br>`,this.interactif&&(C+=I(this,f*l+1,"inline width25",{texteApres:" °"})),K(this,f*l+1,a(o)),S.isAmc&&(q[1]={type:"AMCNum",propositions:[{texte:"",reponse:{texte:u,valeur:a(o),alignement:"center",param:{digits:3,decimals:0,signe:!1,approx:0}},options:{ordered:!1,lastChoice:!1}}]}),Q.push($e,D(H),T(H)),W.push(he,D(H),T(H)),l>2){const r=this.sup4&l===3?h(180-e-o):N*j*c(10,170-20*(l-3)-a(e+o)),te=v(B,i,e+o+r),F=c(1,26,[4,5,15,23,24,25,n,M,y,w]),xe=h(s+e+o+r)>135?"above":h(s+e+o+r)>45?"right":h(s+e+o+r)>-45?"below":h(s+e+o+r)>-135?"left":"above",V=k(i,te,m+c(10,25)/10,t(F),xe),Ae=E(i,te),le=E(i,te,"hotpink");if(le.epaisseur=2,u=`${R(2)} What is the measure, in degrees, of the angle $\\widehat{${t(w)+t(n)+t(F)}}$?`,C+="<br>"+u,p+=`<br>${R(2)} The half-line (${t(w)+t(n)}] passes through the ${A(a(e+o),"blue")} graduation of the protractor. `,p+=`The half-line (${t(F)+t(n)}] passes through the ${A(a(e+o+r),"hotpink")} graduation of the protractor. `,p+=`And ${a(e+o+r)}-${a(e+o)}=${X(a(r))}.<br>So we deduce that the angle $\\widehat{${t(w)+t(n)+t(F)}}$ measures ${A(a(r)+"°")}.<br>`,this.interactif&&(C+=I(this,f*l+2,"inline width25",{texteApres:" °"})),K(this,f*l+2,a(r)),S.isAmc&&(q[2]={type:"AMCNum",propositions:[{texte:"",reponse:{texte:u,valeur:a(r),alignement:"center",param:{digits:3,decimals:0,signe:!1,approx:0}},options:{ordered:!1,lastChoice:!1}}]}),Q.push(Ae,D(V),T(V)),W.push(le,D(V),T(V)),l>3){const x=this.sup4?h(180-e-o-r):N*j*c(10,170-a(e+o+r)),se=v(B,i,e+o+r+x),L=c(1,26,[4,5,15,23,24,25,n,M,y,w,F]),Ce=h(s+e+o+r+x)>135?"above":h(s+e+o+r+x)>45?"right":h(s+e+o+r+x)>-45?"below":h(s+e+o+r+x)>-135?"left":"above",O=k(i,se,m+c(10,25)/10,t(L),Ce),ye=E(i,se),ce=E(i,se,"green");ce.epaisseur=2,u=`${R(3)} What is the measure, in degrees, of the angle $\\widehat{${t(F)+t(n)+t(L)}}$?`,C+="<br>"+u,p+=`<br>${R(3)} The half-line (${t(F)+t(n)}] passes through the ${A(a(e+o+r),"hotpink")} graduation of the protractor. `,p+=`The half-line (${t(L)+t(n)}] passes through the ${A(a(e+o+r+x),"green")} graduation of the protractor. `,p+=`And ${a(e+o+r+x)}-${a(e+o+r)}=${X(a(x))}.<br>So we deduce that the angle $\\widehat{${t(F)+t(n)+t(L)}}$ measures ${A(a(x)+"°")}.<br>`,this.interactif&&(C+=I(this,f*l+3,"inline width25",{texteApres:" °"})),K(this,f*l+3,a(x)),S.isAmc&&(q[3]={type:"AMCNum",propositions:[{texte:"",reponse:{texte:u,valeur:a(x),alignement:"center",param:{digits:3,decimals:0,signe:!1,approx:0}},options:{ordered:!1,lastChoice:!1}}]}),Q.push(ye,D(O),T(O)),W.push(ce,D(O),T(O))}}}oe={xmin:U($.x,b.x,g.x,d.x),ymin:-1+U($.y,b.y,g.y,d.y),xmax:J($.x,b.x,g.x,d.x),ymax:1+J($.y,b.y,g.y,d.y),pixelsParCm:20,scale:S.isHtml?1:.75,mainlevee:!1},ae={xmin:U($.x,b.x,g.x,d.x),ymin:-1+U($.y,b.y,g.y,d.y),xmax:J($.x,b.x,g.x,d.x),ymax:1+J($.y,b.y,g.y,d.y),pixelsParCm:20,scale:.9,mainlevee:!1},Y=me(oe,Q),S.isAmc&&(this.autoCorrection[f]={enonce:Y,enonceAvant:!0,enonceCentre:!0,melange:!1,options:{multicols:!0,barreseparation:!0,multicolsAll:!1,avecSymboleMult:!1},propositions:q}),C+="<br>"+Y,p+=me(ae,W),this.listeQuestions.push(C),this.listeCorrections.push(p),Ee(this)}},this.besoinFormulaireNumerique=["Rapporteur's position",3,`1: Horizontal
2: Vertical
3: Doesn't matter`],this.besoinFormulaire2Numerique=["Protractor size (between 7 and 12)",12],this.besoinFormulaire3Numerique=["Number of angles to measure (between 1 and 4)",4],this.besoinFormulaire4CaseACocher=["With two symmetrically opposite points"]}export{Re as amcReady,Be as amcType,Pe as dateDePublication,Qe as default,Ne as interactifReady,Te as interactifType,qe as ref,De as titre,Se as uuid};
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