diff --git a/6e/DS/DS_18_05_30/DS_18_05_30-1.pdf b/6e/DS/DS_18_05_30/DS_18_05_30-1.pdf new file mode 100644 index 0000000..deb86e9 Binary files /dev/null and b/6e/DS/DS_18_05_30/DS_18_05_30-1.pdf differ diff --git a/6e/DS/DS_18_05_30/DS_18_05_30-1.tex b/6e/DS/DS_18_05_30/DS_18_05_30-1.tex new file mode 100644 index 0000000..7415d79 --- /dev/null +++ b/6e/DS/DS_18_05_30/DS_18_05_30-1.tex @@ -0,0 +1,289 @@ +\documentclass[a4paper,12pt]{article} +\usepackage{myXsim} + +\title{DS 10} +\tribe{Sixième} +\date{30 mai 2018} + +\sujet{1} + +\RequirePackage{contour} +\newcommand{\clockATick}[2]{% + % colors + \colorlet{minutes color}{blue!50!cyan!70!black} + \colorlet{bg hours 0}{yellow} + \colorlet{bg hours 1}{red!50} + \colorlet{hours color}{red!80!black} + % styles + \tikzset{ + minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries}, + minutes 0/.style={fill=minutes color,text=white,minutes}, + minutes 1/.style={text=minutes color,fill=white,minutes}, + minutes font/.style={font=\normalsize}, + hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center}, + mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries}, + } + % radii + \def\bigradius{80mm} + \def\minuteradius{75mm} + \def\hourradius{60mm} + \def\minihourminradius{25mm} + \def\minihourmaxradius{45mm} + \pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5} + \def\hourwidth{2mm} + \def\minutewidth{1mm} + + % big circle + \filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius); + + % minutes marks + \foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}] + in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; } + + % hours marks + \foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{ + + \path (-\angle:\hourradius) node[hours]{\c}; + + \path[fill=bg hours \col] + (-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius) + arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius) + arc(-\angle-30:-\angle:\minihourminradius) -- cycle; + + \path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}}; + } + + % hands + \pgfmathsetmacro\hourangle{-#1*30-#2*.5} + \pgfmathsetmacro\minuteangle{-#2*6} + \fill[rotate=\hourangle,fill=hours color] ++(0,\hourwidth) arc(90:270:\hourwidth) -- ++(50mm,0) + -- ++(\hourwidth,\hourwidth) -- ++(-\hourwidth,\hourwidth) -- ++(-50mm,0) -- cycle ; + \fill[rotate=\minuteangle,fill=minutes color] ++(0,\minutewidth) arc(90:270:\minutewidth) -- ++(70mm,0) + -- ++(\minutewidth,\minutewidth) -- ++(-\minutewidth,\minutewidth) -- ++(-70mm,0) -- cycle ; +} + +\newcommand{\clockBTick}[2]{% + \draw (0,0) circle (2cm); + \foreach \angle / \label in + {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9, + 210/8, 240/7, 270/6, 300/5, 330/4} + { + \draw (\angle:1.8cm) -- (\angle:2cm); + \draw (\angle:1.4cm) node{\textsf{\label}}; + } + \foreach \angle[count=\c from 0] in {0,6,...,354} + { + \draw (\angle:1.9cm) -- (\angle:2cm); + } + \draw[rotate=90] (0,0) -- (-#1*30-#2*30/60:0.7cm); % hours + \draw[rotate=90] (0,0) -- (-#2*6:1.2cm); % minutes + \path [fill=black] (0,0) circle (3pt); + \path [fill=red] (0,0) circle (1.5pt); +} + +\newcommand{\clockA}{% + % colors + \colorlet{minutes color}{blue!50!cyan!70!black} + \colorlet{bg hours 0}{yellow} + \colorlet{bg hours 1}{red!50} + \colorlet{hours color}{red!80!black} + % styles + \tikzset{ + minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries}, + minutes 0/.style={fill=minutes color,text=white,minutes}, + minutes 1/.style={text=minutes color,fill=white,minutes}, + minutes font/.style={font=\normalsize}, + hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center}, + mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries}, + } + % radii + \def\bigradius{80mm} + \def\minuteradius{75mm} + \def\hourradius{60mm} + \def\minihourminradius{25mm} + \def\minihourmaxradius{45mm} + \pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5} + \def\hourwidth{2mm} + \def\minutewidth{1mm} + + % big circle + \filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius); + + % minutes marks + \foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}] + in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; } + + % hours marks + \foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{ + + \path (-\angle:\hourradius) node[hours]{\c}; + + \path[fill=bg hours \col] + (-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius) + arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius) + arc(-\angle-30:-\angle:\minihourminradius) -- cycle; + + \path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}}; + } + + \path [fill=black] (0,0) circle (3mm); + \path [fill=red] (0,0) circle (1.5mm); +} + +\newcommand{\clockB}{% + \draw (0,0) circle (2cm); + \foreach \angle / \label in + {0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9, + 210/8, 240/7, 270/6, 300/5, 330/4} + { + \draw (\angle:1.8cm) -- (\angle:2cm); + \draw (\angle:1.4cm) node{\textsf{\label}}; + } + \foreach \angle[count=\c from 0] in {0,6,...,354} + { + \draw (\angle:1.9cm) -- (\angle:2cm); + } + \path [fill=black] (0,0) circle (3pt); + \path [fill=red] (0,0) circle (1.5pt); +} + + +\begin{document} + +\competencesStatement + +\maketitle +\bigskip +\begin{exercise}[subtitle={Le temps}] + \begin{enumerate} + \item Quelle heure indique ces deux horloges? + ~ + + \vspace{1.5cm} + \hspace{1cm} + \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}] + \clockATick{7}{30} + \end{tikzpicture} + \hspace{2cm} + ............ + \hspace{2.5cm} + \begin{tikzpicture}[cap=round, transform canvas={scale=0.9}] + \clockBTick{11}{15} + \end{tikzpicture} + \hspace{2cm} + ............ + + \vspace{2cm} + \item Placer les aiguilles correctement. + ~ + + \vspace{1.5cm} + \hspace{1cm} + \begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}] + \clockA + \end{tikzpicture} + \hspace{2cm} + 10h20 + \hspace{2.5cm} + \begin{tikzpicture}[cap=round, transform canvas={scale=0.9}] + \clockB + \end{tikzpicture} + \hspace{2cm} + 9h54 + + \vspace{2cm} + \item Compléter les trous (justifier par le calcul en dessous). + \begin{multicols}{2} + \begin{enumerate} + \item $1h =$ \parbox{2cm}{\dotfill} min + \\[0.2cm].\dotfill + \item $8h =$ \parbox{2cm}{\dotfill} min + \\[0.2cm].\dotfill + \item $5h 25min =$ \parbox{2cm}{\dotfill} min + \\[0.2cm].\dotfill + \item $15min10s =$ \parbox{2cm}{\dotfill} s + \\[0.2cm].\dotfill + \end{enumerate} + \end{multicols} + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Histoire de champs}] + Voici de 2 champs. + \begin{center} + \includegraphics[scale=1]{./fig/champs-1} + \end{center} + + \begin{enumerate} + \item Lequel des 2 champs va demander le moins de clôture pour faire le tour? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \item Lequel de ces 2 champs va donner le plus d'espace pour des faire vivre des chèvres? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Quadrilatères}] + \begin{enumerate} + \item Tracer les figures suivantes avec le plus de précision + \begin{multicols}{2} + \begin{enumerate} + \item Un quadrilatère $ABCD$ \\[4cm] + \item Un losange $IJLK$ \\[4cm] + \end{enumerate} + \end{multicols} + \item Comment reconnaît-on un rectangle? + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \\[0.2cm] .\dotfill + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Tremblements de terre}] + + La force d'un tremblement de terre se mesure avec la \textbf{magnitude}. Voici les relevés des tremblements de terre de vendredi à dimanche. + + \begin{minipage}{0.5\linewidth} + \begin{tabular}{|*{4}{c|}} + \hline + Date & Profondeur & Magnitude & Lieu\\ + \hline + 2018-05-27 & 10 & 5.1 & CHINA \\ + \hline + 2018-05-27 & 10 & 5.0 & FIJI \\ + \hline + 2018-05-27 & 10 & 5.1 & FIJI \\ + \hline + 2018-05-27 & 20 & 5.0 & GUAM \\ + \hline + 2018-05-25 & 175 & 5.2 & INDONESIE \\ + \hline + 2018-05-25 & 10 & 5.0 & MAYOTTE\\ + \hline + 2018-05-25 & 10 & 5.0 & MAYOTTE\\ + \hline + \end{tabular} + \end{minipage} + \begin{minipage}{0.5\linewidth} + \begin{enumerate} + \item + \end{enumerate} + + \end{minipage} + +\end{exercise} + + +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/6e/DS/DS_18_05_30/fig/champs-1.pdf b/6e/DS/DS_18_05_30/fig/champs-1.pdf new file mode 100644 index 0000000..edfa975 Binary files /dev/null and b/6e/DS/DS_18_05_30/fig/champs-1.pdf differ diff --git a/6e/DS/DS_18_05_30/fig/champs-2.pdf b/6e/DS/DS_18_05_30/fig/champs-2.pdf new file mode 100644 index 0000000..aa7fe3c Binary files /dev/null and b/6e/DS/DS_18_05_30/fig/champs-2.pdf differ diff --git a/6e/DS/DS_18_05_30/fig/champs.svg b/6e/DS/DS_18_05_30/fig/champs.svg new file mode 100644 index 0000000..3e748bb --- /dev/null +++ b/6e/DS/DS_18_05_30/fig/champs.svg @@ -0,0 +1,123 @@ + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + 10m + + + 21m + 12m + + +