
\begin{exercice*}
La figure ci-dessous représente sept hexagones \\réguliers et numérotés.
\begin{center}
 \begin{tikzpicture}[general, scale=0.44]
\draw [color=C1] (2,0)-- (4,0)-- (5,1.73)-- (4,3.46)-- (2,3.46)-- (1,1.73)-- cycle;
\draw[color=A1] (3,1.73) node[draw,circle]{1};
\draw [color=C1] (4,3.46)-- (5,5.2)-- (4,6.93)-- (2,6.93)-- (1,5.2)-- (2,3.46);
\draw[color=A1] (3,5.2) node[draw,circle]{2};
\draw [color=C1] (5,1.73) --(7,1.73)-- (8,3.46)-- (7,5.2)-- (5,5.2);
\draw[color=A1] (6,3.46) node[draw,circle]{3};
\draw [color=C1]   (4,0)-- (5,-1.73)-- (7,-1.73)-- (8,0)--(7,1.73);
\draw[color=A1] (6,0) node[draw,circle]{4};
 \draw [color=C1]  (8,0)-- (10,0)-- (11,1.73)-- (10,3.46)-- (8,3.46);
\draw[color=A1] (9,1.73) node[draw,circle]{5};
 \draw [color=C1] (10,3.46)-- (11,5.2)-- (10,6.93)-- (8,6.93)-- (7,5.2);
\draw[color=A1] (9,5.2) node[draw,circle]{6};
\draw [color=C1] (8,6.93)-- (7,8.66)-- (5,8.66)-- (4,6.93);
\draw[color=A1] (6,6.93) node[draw,circle]{7};
\draw (2,3.46) node[left] {$A$};
\draw (5,8.66) node[left] {$B$};
\draw (8,6.93) node[above right] {$C$};
\draw (11,5.2) node[right] {$D$};
\draw (11,1.73) node[right] {$E$};
\end{tikzpicture}
\end{center}
\vspace{-0.5em}
Déterminer l'image:
\begin{enumerate}
 \item de l'hexagone 1 dans la translation de vecteur $\vv{AC}$;
 \item de l'hexagone 4 dans la translation de vecteur $\vv{AB}$;
 \item de l'hexagone 7 dans la translation de vecteur $\vv{DE}$.
\end{enumerate}
    \begin{corrige}
     ~\\
    \begin{enumerate}
    \item 6
    \item 6
    \item 3
    \end{enumerate}
    \end{corrige}  
\end{exercice*}

