%@AUTEUR:Guillaume Connan prologues:=2; input courbes; input geo; color vert_e, turquoise, orange, vert_fonce, rose, vert_mer, bleu_ciel, or, rouge_v,bleu_m,bleu,bleu_f; vert_e:=(0,0.790002,0.340007); turquoise:=(0.250999,0.878399,0.815699); orange:=(0.589999,0.269997,0.080004); vert_fonce:=(0,1.4*0.392193,0); rose:=(1.0, 0.752907, 0.796106); bleu_ciel:=(1.2*0.529405,1.2*0.807794,1);%.2*0.921598); or:=(1,0.843104,0); rouge_v:=(0.829997,0.099994,0.119999); bleu_m:=(0.7*0.529405,0.7*0.807794,0.7);%*0.921598); bleu_f:=(0.211762,0.3231176,0.3686392); bleu:=(0.529405,0.807794,1); % Déclarations des constantes % numeric xmin, xmax, ymin, ymax; ux:=1cm; uy:=1cm; xmin := -0.5; xmax := 8; ymin := xmin; ymax := xmax-1; % Définitions des axes et labels associés vardef axes = drawarrow (ux*xmin,0) -- (ux*xmax,0); % axe des x drawarrow (0,uy*ymin) -- (0,uy*ymax); % axe des y label.lrt(btex $x$ etex,(xmax*ux,0)); % label de l'axe des x label.urt(btex $y$ etex,(0,ymax*uy)); % label de l'axe des y enddef; beginfig(1); label.llft(btex $0$ etex,(0,0)); %Fonction, graphe vardef f(expr x) =2.3*sqrt(x) enddef; vardef tracee (suffix g)(expr a,b,inc) = save i; numeric i; for i=a step inc until b: (i*ux,f(i)*uy) .. endfor (b*ux,f(b)*uy) enddef; %Points sur le graphe pair A[],M[],O[]; path z; u:=.7;%facteur d'échelle aa:=2;bb:=5;cc:=9;%numeros des points particuliers for i=1 upto 12: A[i]:=(i*u*ux,0);% A comme abscisse M[i]:=(i*u*ux,f(i*u)*uy); %M comme courbe !! O[i]:=(0,f(i*u)*uy); %O comme ordonnée endfor ; z:=O[bb]--O[bb]shifted (xmax*ux,0)--O[bb]shifted (xmax*ux,0)shifted(0,(ymax-f(5*u))*uy)--O[bb]shifted(0,(ymax-f(5*u))*uy)--cycle; fill z withcolor bleu_ciel; axes; dotlabel.lrt(btex Buzz etex, M[cc]); for i=1 upto 10: draw M[i] withpen pencircle scaled 6bp ; endfor ; for i=aa,bb,cc: draw A[i]--M[i]--O[i] dashed evenly; endfor; label.bot(btex premier essai etex,A[aa]); label.bot(btex 2ème essai etex,A[bb]); label.bot(btex 3ème essai etex,A[cc]); label.lft(btex trop court etex,O[aa] shifted (0,.1*uy)); label.lft(btex vers l'infini et au-del\`a etex,O[cc] shifted (0,.2*uy)); %Tracé des droites pair C,D; C=O[bb]; %Point seuil D=1/3(O[cc]+2O[cc-1]); %Point seuil pickup pencircle scaled 2bp; draw C--C shifted (xmax*ux,0) withcolor bleu_m; label.lft(btex Seuil etex,C shifted (0,-.1*uy)); draw tracee(g,0,xmax,.1)withcolor red; endfig; end