
\begin{exercice}[Position relative de deux plans]
 Sur le cylindre, $E$ est le milieu de $[AG]$ et\\ $F$ celui de $[BH]$.
Donner les positions relatives des plans:

\parbox{0.24\textwidth}{
\begin{enumerate}
                 \item $(ABE)$ et $(GHF)$
                 \item $(ABC)$ et $(GHJ)$
                 \item $(ACG)$ et $(JHI)$
                \end{enumerate}
}\hfill\parbox{0.74\textwidth}{
\begin{tikzpicture}[general, scale=0.5]
 \draw[color=A4, fill=A4] (0,0)--(0,3)--(5,3)--(5,0)-- cycle;
 \draw (0,0)--(0,3);
  \draw (5,3)--(5,0);
 \draw (0,3) .. controls +(0,-0.5) and +(0,-0.5)..(5,3);
 \draw[fill=A4](0,3) .. controls +(0,0.5) and +(0,0.5)..(5,3); 
 \draw[fill=A4] (0,0) .. controls +(0,-0.5) and +(0,-0.5)..(5,0);
 \draw[loosely dashed] (0,0) .. controls +(0,0.5) and +(0,0.5)..(5,0); 
 %\draw[loosely dashed] (0,0)--(2.5,0);
 %\draw[loosely dashed] (2.5,3)--(2.5,0);
  \draw (0,0) node {$\bullet$};
  \draw (5,0) node {$\bullet$};
  \draw (0,3) node {$\bullet$};
  \draw (5,3) node {$\bullet$};
  \draw (0,1.5) node {$\bullet$};
  \draw (5,1.5) node {$\bullet$};
  \draw (2.5,-0.375) node {$\bullet$};
  \draw (2.5,0.375) node {$\bullet$};
  \draw (2.5,3.375) node {$\bullet$};
  \draw (2.5,2.625) node {$\bullet$};
  \draw (0,0) node[left] {$G$};
  \draw (5,0) node[right] {$H$};
  \draw (0,3) node[left] {$A$};
  \draw (5,3) node[right] {$B$};
  \draw (0,1.5) node[left] {$E$};
  \draw (5,1.5) node[right] {$F$};
  \draw (2.5,-0.375) node[below] {$J$};
  \draw (2.5,0.375) node[above] {$I$};
  \draw (2.5,3.375) node[above] {$C$};
  \draw (2.5,2.625) node[below] {$D$};
 \end{tikzpicture}
}
\end{exercice}

