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\begin{exercice} Voici le patron d'une pyramide $EABCD$ dans un repère orthonormé $(A;B,D)$. 
 
Déterminer les coordonnées de chacun des points: \begin{colitemize}{4}\item $E_1$ \item  $E_2$ \item $E_3$ \item $E_4$\end{colitemize}

\begin{center}
 \begin{tikzpicture}[general, scale=1.8]
 \draw (0,1)--(-1,0)--(2.414,0);
 \draw (1,0)--(0,-1)--(0,2.414);
 \draw (0,1)--(1,1)--(0,2.414);
 \draw (1,0)--(1,1)--(2.414,0);
 \draw (0,0) rectangle (0.1,0.1);
 \draw (0,1) rectangle (0.1,1.1);
 \draw (1,0) rectangle (1.1,0.1);
 \draw (0,0) node[below left]{$A$};
 \draw (1,0) node[below right]{$B$};
 \draw (1,1) node[above right]{$C$};
 \draw (0,1) node[above left]{$D$};
 \draw (-1,0) node[left]{$E_1$};
 \draw (0,-1) node[below]{$E_2$};
 \draw (0,2.414) node[above]{$E_3$};
 \draw (2.414,0) node[right]{$E_4$};
 \foreach \x/\y in { 0/0.5, 0/-0.5} {\draw[color=A1] (\x,\y) node {{\boldmath $\infty$}};}
 \foreach \x/\y in {0.5/0, -0.5/0} {\draw[color=A1] (\x,\y) node[rotate=90] {{\boldmath $\infty$}};}
 \draw[color=C1] (-0.5,0.5) node{{\boldmath $\approx$}};
 \draw[color=C1] (0,1.7) node{{\boldmath $\approx$}};
 \draw[color=C1] (0.5,-0.5) node{{\boldmath $\approx$}};
 \draw[color=C1] (1.7,0) node[rotate=90]{{\boldmath $\approx$}};
 \draw[color=G1] (1.7,0.5) node{{\boldmath $\bullet$}};
 \draw[color=G1] (1.6,0.575) node{{\boldmath $\bullet$}};
 \draw[color=G1] (1.8,0.425) node{{\boldmath $\bullet$}};
 \draw[color=G1] (0.5,1.7) node{{\boldmath $\bullet$}};
 \draw[color=G1] (0.575,1.6) node{{\boldmath $\bullet$}};
 \draw[color=G1] (0.425,1.8) node{{\boldmath $\bullet$}};
 \end{tikzpicture}
\end{center}

\end{exercice}
