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\documentclass[a4paper,11pt]{article}
\usepackage{francois_meria}
\usepackage[dvips]{graphicx}
\usepackage[dvips]{epsfig}
\setlength{\parindent}{0mm}
    \lhead{\textsf{Collège Château Forbin} - \textit{Mathématiques} - \textsf{6\ieme}}
    \chead{}
    \rhead{\textit{Année} 2005/2006}
    \pagestyle{fancy}
  \renewcommand{\headrulewidth}{0.5pt}
 
\begin{document}
\begin{center}
\begin{tabularx}{\textwidth}{|X|}
\hline
 
\vskip 0.1cm
\begin{center}
    {\Large\textbf{Construction géométrique : Quel polygone !}}\\
 
    \vskip 0.025cm
 
\end{center}\\
\hline
\end{tabularx}
\end{center}
 
\vskip 0.55cm
 
Il s'agit de construire la figure 2 ci-dessous.
 
\begin{multicols}{2}
\begin{center}
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        \pstBissectBAC[PointName=none,PointSymbol=none]{H}{Q}{F}{M_8}
        \put(-1.5,-10){Figure 1.}
    \endpspicture
\end{center}
 
\columnbreak
 
\begin{center}
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        \pstGeonode[PointSymbol=none,PointName=none](4,0){T}
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        \pstBissectBAC[PointSymbol=none,PointName=none]{B}{Q}{N}{P}
        \pstBissectBAC[PointSymbol=none,PointName=none]{N}{Q}{J}{L}
        \pstBissectBAC[PointSymbol=none,PointName=none]{J}{Q}{F}{H}
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        \pstBissectBAC[PointName=none,PointSymbol=none]{P}{Q}{N}{M_4}
        \pstBissectBAC[PointName=none,PointSymbol=none]{N}{Q}{L}{M_5}
        \pstBissectBAC[PointName=none,PointSymbol=none]{L}{Q}{J}{M_6}
        \pstBissectBAC[PointName=none,PointSymbol=none]{J}{Q}{H}{M_7}
        \pstBissectBAC[PointName=none,PointSymbol=none]{H}{Q}{F}{M_8}
        \put(-1.5,-10){Figure 2.}
    \endpspicture
\end{center}
\end{multicols}
 
 
\vskip 1.5cm
 
\textbf{\LARGE Programme de construction }\\
 
\large{\texttt{Toutes les constructions doivent se faire au COMPAS
et à la règle (sans utiliser les graduations sauf pour les longueurs données).}}\\
 
\vskip 0.5cm
 
\shadowbox{
\begin{minipage}[c]{\textwidth}
\begin{multicols}{2}\setlength{\columnseprule}{0.5pt}
\textbf{\'Etape 1.}\\
Construire un cercle $\mathcal{C}$ de centre $Q$ et de rayon 8~cm.\\
 
\textbf{\'Etape 2.}\\
Construire tracer deux diamètres perpendiculaires $[NF]$ et $[BJ]$.\\
 
\textbf{\'Etape 3.}\\
Construire les bissectrices des quatre angles obtenus.\\
 
\textbf{\'Etape 4.}\\
Construire les bissectrices des huit nouveaux angles obtenus.\\
 
\textbf{\'Etape 5.}\\
Tracer le cercle de centre $Q$ et de rayon 4~cm.\\
 
\textbf{\'Etape 6.}\\
Nommer les points comme sur la figure 1.\\
 
\textbf{\'Etape 7.}\\
Tracer le polygone $ABCDEFGHIJKLMNOP$.\\
 
\textbf{\'Etape 8.}\\
Colorier la figure obtenue comme sur la figure 2 en alternant deux
couleurs.
\end{multicols}
\end{minipage}
}
\end{document}