import{E as u,r as o,h as l,d as c,p,l as x}from"./index-hc8lvKav.js";import{a as s}from"./etudeFonction-M_f1WP66.js";import{t as i}from"./deprecatedFractions-crf_vsDW.js";import"./MatriceCarree-1qzwJiWf.js";import"./Polynome-vTUwDBL0.js";const y="Dresser le tableau de signes d’une fonction affine",L=!0,C="qcm",k="15/12/2021",z="73ab4",B="can2F06";function R(){u.call(this),this.nbQuestions=1,this.tailleDiaporama=1.3,this.listePackages=["tkz-tab"],this.spacing=1,this.nouvelleVersion=function(){this.listeQuestions=[],this.listeCorrections=[];let n,a,t,e,r;for(let $=0,f=0;$<this.nbQuestions&&f<50;)t===0&&e===0&&(t=1),this.interactif?(t=o(1,6)*l([-1,1]),e=o(1,6)*l([-1,1]),n=`Quel est le tableau de signes de la fonction $f$ définie sur  $\\mathbb R$ par $f(x)=${c(t,e)}$ ? `,t>0?this.autoCorrection[$]={enonce:n,options:{vertical:!0},propositions:[{texte:s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(-e,t)}$`,20,"$+\\infty$",30]],tabLines:[["Line",30,"",0,"-",20,"z",20,"+"]],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5,scale:1}),statut:!0},{texte:s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(e,t)}$`,20,"$+\\infty$",30]],tabLines:[["Line",30,"",0,"-",20,"z",20,"+"]],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5,scale:1}),statut:!1},{texte:s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(-e,t)}$`,20,"$+\\infty$",30]],tabLines:[["Line",30,"",0,"+",20,"z",20,"-"]],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5,scale:1}),statut:!1}]}:this.autoCorrection[$]={enonce:n,options:{vertical:!0},propositions:[{texte:s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(-e,t)}$`,20,"$+\\infty$",30]],tabLines:[["Line",30,"",0,"+",20,"z",20,"-"]],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5,scale:1}),statut:!0},{texte:s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(e,t)}$`,20,"$+\\infty$",30]],tabLines:[["Line",30,"",0,"+",20,"z",20,"-"]],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5,scale:1}),statut:!1},{texte:s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(-e,t)}$`,20,"$+\\infty$",30]],tabLines:[["Line",30,"",0,"-",20,"z",20,"+"]],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5,scale:1}),statut:!1}]},n+=p(this,$).texte):(t=o(1,6)*l([-1,1]),e=o(0,6)*l([-1,1]),n=`Dresser le tableau de signes de la fonction $f$ définie sur  $\\mathbb R$ par $f(x)=${c(t,e)}$. `),a=`$f$ est une fonction affine. Elle s’annule en $x_0=${i(-e,t)}$. `,t>0?(a+=`<br>Comme $${t}>0~$, $~f(x)$ est positif pour $~x>${i(-e,t)} ~$ et négatif pour $~x<${i(-e,t)} $.<br>`,r=["Line",30,"",0,"-",20,"z",20,"+"]):(a+=`<br>Comme $${t}<0$,  $f(x)~$ est négatif pour $~x>${i(-e,t)} ~$ et positif pour $~x<${i(-e,t)} $.<br>`,r=["Line",30,"",0,"+",20,"z",20,"-"]),a+=s({tabInit:[[["$x$",2,30],["$f(x)$",2,50]],["$-\\infty$",30,`$${i(-e,t)}$`,20,"$+\\infty$",30]],tabLines:[r],colorBackground:"",espcl:3.5,deltacl:.8,lgt:5}),this.questionJamaisPosee($,t,e)&&(this.listeQuestions.push(n),this.listeCorrections.push(a),this.canEnonce=`Dresser le tableau de signes de la fonction $f$ définie sur  $\\mathbb R$ par $f(x)=${c(t,e)}$. `,this.canReponseACompleter="",this.listeCanEnonces.push(this.canEnonce),this.listeCanReponsesACompleter.push(this.canReponseACompleter),$++),f++;x(this)}}export{k as dateDePublication,R as default,L as interactifReady,C as interactifType,B as ref,y as titre,z as uuid};
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