index.tex

\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}
 
 
\makeatletter
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\begin{document}
 
\begin{center}
\begin{tabularx}{\textwidth}{|X|}
\hline
 
\vskip 0.1cm
\begin{center}
    {\Large\textbf{Construction géométrique : Triangles et cercles !}}\\
 
    \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}
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\columnbreak
 
\begin{center}
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        \pstMiddleAB[PointSymbol=none,PosAngle=45,PointName=none]{A}{C}{K}
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        \put(5,-3.8){Figure $2$}
    \endpspicture
\end{center}
\end{multicols}
\vskip 1.5cm
 
\textbf{\LARGE Programme de construction }\\
 
\large{\texttt{Toutes les constructions doivent se faire à
l'équerre, à la règle et au compas.}}\\
 
\vskip 0.5cm
 
\shadowbox{
\begin{minipage}[c]{\textwidth}
\begin{multicols}{2}\setlength{\columnseprule}{0.5pt}
\textbf{\'Etape 1.}\\
Tracer un triangle équilatéral $ABC$ de côté 12~cm et repérer les milieux $I$, $J$ et $K$ de chaque côté.\\
 
\textbf{\'Etape 2.}\\
Tracer les cercles de diamètres les côtés du triangle $ABC$.\\
 
\textbf{\'Etape 3.}\\
Tracer les segments joingant chaque sommet du triangle au milieu du côté opposé. On parle de médianes du triangle.\\
Prolonger ces médianes de 2~cm ; on obtient les points $D$, $E$ et
$F$.\\
\textbf{\'Etape 4.}\\
Tracer les perpendiculaires à ces médianes passant par les
points $D$, $E$ et $F$. On obtient un nouveau triangle $A'B'C'$.\\
 
\textbf{\'Etape 5.}\\
Tracer des arcs de cercles ayant pour centre $D$, $E$ et $F$ et passant respectivement par $B$ et $C$,
$A$ et $B$ et $A$ et $C$.\\
 
\textbf{\'Etape 6.}\\
Colorier la figure en alternant deux couleurs.\\
\end{multicols}
\end{minipage}
}
\end{document}