exo46.tex

%@Auteur: François Meria\par
Il s'agit de construire la figure 2 ci-dessous.
 
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\textbf{Programme de construction }\\
 
{\texttt{Toutes les constructions doivent se faire au COMPAS
et à la règle (sans utiliser les graduations sauf pour les longueurs données).}}\\
 
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\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.}\\
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.
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}