Modifié le 21 Janvier 2011 à 22 h 19.
%@Auteur: François Meria\par
\begin{multicols}{2}
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\pspolygon(A)(B)(C)(D)
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\psline(T1)(T2)
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\pstMarkAngle[MarkAngleRadius=1.4]{O}{A}{T2}{}
\pstMarkAngle[MarkAngleRadius=1.6]{O}{A}{T2}{}
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\psline(O)(P1)
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% fin de la première partie de la construction
\put(6.2,-1){Figure 1}
\endpspicture
\end{center}
\par\columnbreak\par
\begin{enumerate}[1.]
\item
\begin{enumerate}[(a)]
\item Tracer un carré $ABCD$ de $15$~cm de côté et ses quatre axes
de symétrie. Appeler $O$ leur point d'intersection.
\item Placer le point $I$, milieu du segment $[AB]$ et le point
$J$, milieu du segment $[BC]$.
\item Construire les bissectrices des angles $\widehat{OAD}$,
$\widehat{OAB}$, $\widehat{IOB}$ et $\widehat{JOB}$.
\item Compléter la construction pour obtenir la figure 1.
\end{enumerate}
\item
\begin{enumerate}[(a)]
\item Compléter la figure 1 par symétrie par rapport aux deux
diagonales du carré $ABCD$.
\item Colorier la figure 2 Ã l'aide de deux couleurs que l'on
alternera.
\end{enumerate}
\end{enumerate}
\end{multicols}
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\psline(I)(I1)
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\psline(T1)(T2)
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\psline(O)(P1)
\pstBissectBAC[linestyle=none,PointSymbol=none,PointName=none]{J}{O}{B}{N2}%
\pstInterLL[PointName=none,PointSymbol=none]{O}{N2}{J}{B}{P2}%
\psline(O)(P2)
\psline(P1)(P2)
% fin de la première partie de la construction
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\pstOrtSym[PointName=none,PointSymbol=none]{B}{D}{T2}[Q2]
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\pspolygon(R1)(R2)(O)
% coloriage
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\pspolygon[fillstyle=solid,fillcolor=lightgray](O)(T1)(S)
\pspolygon[fillstyle=solid,fillcolor=lightgray](A)(J1)(T1)
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\put(6.7,-0.7){Figure 2}
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