\documentclass[a4paper]{article} \usepackage[latin1]{inputenc} \usepackage[LGR,T1]{fontenc} \usepackage[francais,greek,frenchb]{babel} \usepackage{array,multicol,multirow,enumerate} \usepackage{graphicx,pst-all,pst-eucl} \usepackage{lscape} \usepackage{amsmath,amsfonts,amsthm,geometry} \usepackage{frcursive} \usepackage{fancyhdr} \setlength{\parindent}{0mm} \def\d{$\diamond \,$} \def\*{\times} \def\Euro{\textgreek{\euro}\ } \def\m@th{\mathsurround=0pt} \def\trou#1{ \setbox0=\hbox{\textbf{#1}} \dp0=0pt \m@th \underline{\hbox{\hskip\wd0}} } \newcommand{\machine}[4]{ \begin{pspicture} \rput(0,0){\rnode{A}{#1}} \rput(3,0.11){\rnode{B}{#2}} \psset{nodesep=5pt} \ncarc[arcangleA=25,arcangleB=25]{->}{A}{B}\mput*{\ovalnode{m}{#3}} \ncarc[arcangleA=25,arcangleB=25]{->}{B}{A}\mput*{\ovalnode{d}{#4}} \end{pspicture} \hskip 3.1cm} \newcommand{\cylindre}[5]{ \pstGeonode[PointSymbol=*,PointName=#2](0,0){#1} \pstGeonode[PointSymbol=none,PointName=none](10,0){Aamoi} 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\newcommand\whline{\noalign{\global\savedwidth\arrayrulewidth\global\arrayrulewidth 1.5pt} \hline \noalign{\global\arrayrulewidth\savedwidth}} % Marges \geometry{ hmargin=1.5cm, vmargin=1.5cm } % Exo \newcounter{nexo} \setcounter{nexo}{0} \newcommand{\exo}{ \stepcounter{nexo} {\textbf{$\triangleright$ Exercice \arabic{nexo} :}} } % Questions \newenvironment{questions}{\begin{enumerate}[1 $\, \diamond$]}{\end{enumerate}} \lhead{\textsf{Collège Château Forbin} - \textit{Mathématiques}} \chead{} \rhead{\textit{Année} 2005/2006} \pagestyle{fancy} \renewcommand{\headrulewidth}{0.5pt} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Début du document %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{document} {\noindent \textbf{NOM :} \hfill \textit{mercredi $30$ novembre $2005$}} \vskip 0.3cm {\noindent \textbf{Prénom :} \hfill \textbf{Classe :\dots\ldots\ldots}} \begin{center} {\large \textbf{Contrôle de cours \textit{\no}2}}\\ \textit{durée : $20$ minutes} \end{center} \vskip 0.3cm \hrule\vspace{\baselineskip} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% DEBUT DES EXERCICES %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Présentation \exo \begin{multicols}{2} Dans la figure suivante, \begin{questions} \item Nommer de deux façons possibles les angles marqués : \begin{itemize} \item \dotfill \item \dotfill \item \dotfill \end{itemize} \item Marquer en bleu l'angle $\widehat{ACB}$, en rouge l'angle $\widehat{EFM}$, en vert l'angle $\widehat{CDF}$. \end{questions} \columnbreak % Generated by eukleides 1.0.0 \psset{linecolor=black, linewidth=.5pt, arrowsize=2pt 4} \psset{unit=1.0000cm} \pspicture(-1.0000,0.0000)(7.0000,5.50000) \pspolygon(0.0000,0.0000)(6.0000,0.0000)(0.0000,4.5000) \pspolygon(0.0000,0.0000)(6.0000,0.0000)(3.0000,5.1962) \psline(0.0000,0.0000)(4.5000,2.5981) \psline(3.0000,5.1962)(3.6260,0.0000) \uput{0.3000}[180.0000](0.0000,0.0000){$A$} \uput{0.3000}[0.0000](6.0000,0.0000){$B$} \uput{0.3000}[90.0000](0.0000,4.5000){$C$} \uput{0.3000}[90.0000](3.0000,5.1962){$D$} \uput{0.3000}[180.0000](1.8130,3.1402){$E$} \uput{0.3000}[0.0000](4.5000,2.5981){$M$} \uput{0.3000}[180.0000](3.3902,1.9573){$F$} \uput{0.3000}[-90.0000](3.6260,0.0000){$G$} \psarc(0.0000,0.0000){0.45000}{0.0000}{30.0000} \psarc(0.0000,0.0000){0.55000}{0.0000}{30.0000} \psarc(0.0000,0.0000){0.65000}{0.0000}{30.0000} \psarc(3.0000,5.1962){0.4500}{-120.0000}{-83.1301} \psarc(3.0000,5.1962){0.5500}{-120.0000}{-83.1301} \psarc(3.3902,1.9573){0.5000}{-83.1301}{30.0000} \endpspicture % End of figure \end{multicols} \vskip 0.3cm \exo \begin{multicols}{2} Compléter le tableau suivant à l'aide de la figure ci-contre : %\begin{center} \begin{tabular}{|c|c|c|c|c|} \hline Nom & Aigu & Droit & Obtus & Plat \\ \hline $\widehat{ADF}$ & & & & \\ \hline $\widehat{FCE}$ & & & & \\ \hline $\widehat{BMA}$ & & & & \\ \hline $\widehat{DCF}$ & & & & \\ \hline & & & $\*$ & \\ \hline & & & & $\*$ \\ \hline \end{tabular} %\end{center} \columnbreak % Generated by 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