%@AUTEUR:Guillaume Connan
prologues:=2;

verbatimtex
%&latex
\documentclass{article}
\usepackage[latin1]{inputenc}
\usepackage[T1]{fontenc}
\begin{document}
etex

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);

%  MODULE

beginfig(1);
  drawarrow (-2cm,0)--(7cm,0) withcolor bleu_m withpen pencircle scaled 1.5bp;
  drawarrow (0,-1.5cm)--(0,2.5cm)  withcolor bleu_f withpen pencircle scaled 1.5bp ;
  
  label.urt(btex \boldmath $M(a+ib)$\unboldmath etex, (4cm,2cm))withcolor 0.6white dashed evenly;
  dotlabel.urt(btex $ $ etex, (4cm,2cm));
  
  draw (4cm,-0.2cm)--(4cm,0.2cm)withcolor 0.6white;
  draw (-0.2cm,2cm)--(0.2cm,2cm) withcolor 0.6white;

  draw (0,2cm)--(4cm,2cm)--(4cm,0) withcolor 0.6white dashed withdots withpen pencircle scaled 1.5bp;
  
  drawarrow (0,0)--(1cm,0) withcolor bleu_m withpen pencircle scaled 3bp;
  drawarrow (0,0)--(0,1cm) withcolor bleu_f withpen pencircle scaled 3bp;
  label.bot(btex $\overrightarrow{e_1}$ etex,(0.5cm,-0.2cm))withcolor bleu_m;
  label.lft(btex $\overrightarrow{e_2}$ etex,(-0.2cm,0.5cm)) withcolor bleu_f dashed evenly;
  drawarrow (0,0)--(4cm,2cm) withcolor 0.6white withpen pencircle scaled 1.5bp;
  label.bot(btex $a$ etex,(4cm,-0.2cm))withcolor bleu_m;
  label.lft(btex $b$ etex,(-0.2cm,2cm)) withcolor bleu_f dashed evenly;
  label.llft(btex $0$ etex,(-0.2cm,-0.2cm));
  label.bot(btex \textbf{axe réel} etex,(5cm,-0.2cm))withcolor bleu_m withpen pencircle scaled 1.5bp;
  label.lft(btex \textbf{axe imaginaire} etex,(0cm,2.5cm))withcolor bleu_f withpen pencircle scaled 1.5bp;
  label.ulft(btex \boldmath$\sqrt{a^2+b^2}$\unboldmath etex, (2cm,0.85cm))withcolor 0.6white;
endfig;
end