Fin du DS10 pour les 601
This commit is contained in:
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@ -162,13 +162,13 @@
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\vspace{1.5cm}
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\hspace{1cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}]
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\clockATick{7}{30}
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\clockATick{3}{15}
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\end{tikzpicture}
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\hspace{2cm}
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............
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\hspace{2.5cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
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\clockBTick{11}{15}
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\clockBTick{4}{55}
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\end{tikzpicture}
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\hspace{2cm}
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............
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@ -183,13 +183,13 @@
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\clockA
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\end{tikzpicture}
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\hspace{2cm}
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10h20
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8h10
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\hspace{2.5cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
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\clockB
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\end{tikzpicture}
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\hspace{2cm}
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9h54
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6h50
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\vspace{2cm}
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\item Compléter les trous (justifier par le calcul en dessous).
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@ -248,30 +248,36 @@
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La force d'un tremblement de terre se mesure avec la \textbf{magnitude}. Voici les relevés des tremblements de terre de vendredi à dimanche.
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\begin{minipage}{0.5\linewidth}
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\hspace{-1cm}
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\begin{minipage}{0.55\linewidth}
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\begin{tabular}{|*{4}{c|}}
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\hline
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Date & Profondeur & Magnitude & Lieu\\
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\hline
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2018-05-27 & 10 & 5.1 & CHINA \\
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2018-05-27 & 10 & 5,1 & CHINA \\
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\hline
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2018-05-27 & 10 & 5.0 & FIJI \\
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2018-05-27 & 10 & 5 & FIJI \\
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\hline
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2018-05-27 & 10 & 5.1 & FIJI \\
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2018-05-27 & 10 & 5,1 & FIJI \\
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\hline
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2018-05-27 & 20 & 5.0 & GUAM \\
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2018-05-27 & 20 & 5 & GUAM \\
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\hline
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2018-05-25 & 175 & 5.2 & INDONESIE \\
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2018-05-25 & 175 & 5,2 & INDONESIE \\
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\hline
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2018-05-25 & 10 & 5.0 & MAYOTTE\\
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2018-05-25 & 10 & 5 & MAYOTTE\\
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\hline
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2018-05-25 & 10 & 5.0 & MAYOTTE\\
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2018-05-25 & 10 & 5 & MAYOTTE\\
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\hline
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\end{tabular}
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\end{minipage}
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\begin{minipage}{0.5\linewidth}
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\begin{enumerate}
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\item
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\item Où s'est passé le tremblement de terre le plus fort?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\item Où s'est passé le tremblement de terre le plus profond dimanche 27 mai?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{minipage}
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@ -0,0 +1,294 @@
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\documentclass[a4paper,12pt]{article}
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\usepackage{myXsim}
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\title{DS 10}
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\tribe{Sixième}
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\date{30 mai 2018}
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\sujet{2}
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\RequirePackage{contour}
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\newcommand{\clockATick}[2]{%
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% colors
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\colorlet{minutes color}{blue!50!cyan!70!black}
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\colorlet{bg hours 0}{yellow}
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\colorlet{bg hours 1}{red!50}
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\colorlet{hours color}{red!80!black}
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% styles
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\tikzset{
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minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries},
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minutes 0/.style={fill=minutes color,text=white,minutes},
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minutes 1/.style={text=minutes color,fill=white,minutes},
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minutes font/.style={font=\normalsize},
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hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center},
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mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries},
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}
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% radii
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\def\bigradius{80mm}
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\def\minuteradius{75mm}
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\def\hourradius{60mm}
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\def\minihourminradius{25mm}
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\def\minihourmaxradius{45mm}
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\pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5}
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\def\hourwidth{2mm}
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\def\minutewidth{1mm}
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% big circle
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\filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius);
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% minutes marks
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\foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}]
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in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; }
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% hours marks
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\foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{
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\path (-\angle:\hourradius) node[hours]{\c};
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\path[fill=bg hours \col]
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(-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius)
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arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius)
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arc(-\angle-30:-\angle:\minihourminradius) -- cycle;
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\path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}};
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}
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% hands
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\pgfmathsetmacro\hourangle{-#1*30-#2*.5}
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\pgfmathsetmacro\minuteangle{-#2*6}
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\fill[rotate=\hourangle,fill=hours color] ++(0,\hourwidth) arc(90:270:\hourwidth) -- ++(50mm,0)
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-- ++(\hourwidth,\hourwidth) -- ++(-\hourwidth,\hourwidth) -- ++(-50mm,0) -- cycle ;
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\fill[rotate=\minuteangle,fill=minutes color] ++(0,\minutewidth) arc(90:270:\minutewidth) -- ++(70mm,0)
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-- ++(\minutewidth,\minutewidth) -- ++(-\minutewidth,\minutewidth) -- ++(-70mm,0) -- cycle ;
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}
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\newcommand{\clockBTick}[2]{%
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\draw (0,0) circle (2cm);
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\foreach \angle / \label in
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{0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
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210/8, 240/7, 270/6, 300/5, 330/4}
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{
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\draw (\angle:1.8cm) -- (\angle:2cm);
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\draw (\angle:1.4cm) node{\textsf{\label}};
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}
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\foreach \angle[count=\c from 0] in {0,6,...,354}
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{
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\draw (\angle:1.9cm) -- (\angle:2cm);
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}
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\draw[rotate=90] (0,0) -- (-#1*30-#2*30/60:0.7cm); % hours
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\draw[rotate=90] (0,0) -- (-#2*6:1.2cm); % minutes
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\path [fill=black] (0,0) circle (3pt);
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\path [fill=red] (0,0) circle (1.5pt);
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}
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\newcommand{\clockA}{%
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% colors
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\colorlet{minutes color}{blue!50!cyan!70!black}
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\colorlet{bg hours 0}{yellow}
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\colorlet{bg hours 1}{red!50}
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\colorlet{hours color}{red!80!black}
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% styles
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\tikzset{
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minutes/.style={circle,inner sep=0,text width=5mm,align=center,font=\bfseries},
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minutes 0/.style={fill=minutes color,text=white,minutes},
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minutes 1/.style={text=minutes color,fill=white,minutes},
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minutes font/.style={font=\normalsize},
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hours/.style={font=\fontsize{60}{66}\selectfont\bfseries,text=hours color,align=center},
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mini hours font/.style={font=\fontsize{40}{46}\selectfont\bfseries},
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}
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% radii
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\def\bigradius{80mm}
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\def\minuteradius{75mm}
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\def\hourradius{60mm}
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\def\minihourminradius{25mm}
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\def\minihourmaxradius{45mm}
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\pgfmathsetmacro\minihourradius{(\minihourmaxradius + \minihourminradius)*.5}
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\def\hourwidth{2mm}
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\def\minutewidth{1mm}
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% big circle
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\filldraw [fill=white,draw=minutes color] (0,0) circle (\bigradius);
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% minutes marks
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\foreach \angle[count=\c from 0,evaluate={\c as \hourmark using notequal(int(mod(\c,5)),0)}]
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in {0,6,...,354}{ \path (-\angle:\minuteradius) node[minutes \hourmark]{\c}; }
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% hours marks
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\foreach \angle[count=\c from 1,evaluate={\c as \col using int(mod(\c,2))}] in {30,60,...,360}{
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\path (-\angle:\hourradius) node[hours]{\c};
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\path[fill=bg hours \col]
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(-\angle:\minihourminradius) -- (-\angle:\minihourmaxradius)
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arc(-\angle:-\angle-30:\minihourmaxradius) -- (-\angle-30:\minihourminradius)
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arc(-\angle-30:-\angle:\minihourminradius) -- cycle;
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\path (-\angle-15:\minihourradius pt) node[mini hours font]{\textcolor{white}{\contour{hours color}{\c}}};
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}
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\path [fill=black] (0,0) circle (3mm);
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\path [fill=red] (0,0) circle (1.5mm);
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}
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\newcommand{\clockB}{%
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\draw (0,0) circle (2cm);
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\foreach \angle / \label in
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{0/3, 30/2, 60/1, 90/12, 120/11, 150/10, 180/9,
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210/8, 240/7, 270/6, 300/5, 330/4}
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{
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\draw (\angle:1.8cm) -- (\angle:2cm);
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\draw (\angle:1.4cm) node{\textsf{\label}};
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}
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\foreach \angle[count=\c from 0] in {0,6,...,354}
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{
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\draw (\angle:1.9cm) -- (\angle:2cm);
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}
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\path [fill=black] (0,0) circle (3pt);
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\path [fill=red] (0,0) circle (1.5pt);
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}
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\begin{document}
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\competencesStatement
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\maketitle
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\bigskip
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\begin{exercise}[subtitle={Quadrilatères}]
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\begin{enumerate}
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\item Tracer les figures suivantes avec le plus de précision
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\begin{multicols}{2}
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\begin{enumerate}
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\item Un quadrilatère $ABCD$ \\[4cm]
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\item Un losange $IJLK$ \\[4cm]
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\end{enumerate}
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\end{multicols}
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\item Comment reconnaît-on un rectangle?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Tremblements de terre}]
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La force d'un tremblement de terre se mesure avec la \textbf{magnitude}. Voici les relevés des tremblements de terre de vendredi à dimanche.
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\hspace{-1cm}
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\begin{minipage}{0.55\linewidth}
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\begin{tabular}{|*{4}{c|}}
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\hline
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Date & Profondeur & Magnitude & Lieu\\
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\hline
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2018-05-27 & 10 & 5,1 & CHINA \\
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\hline
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2018-05-27 & 10 & 5 & FIJI \\
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\hline
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2018-05-27 & 10 & 5,1 & FIJI \\
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\hline
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2018-05-27 & 20 & 5 & GUAM \\
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\hline
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2018-05-25 & 175 & 5,2 & INDONESIE \\
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\hline
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2018-05-25 & 10 & 5 & MAYOTTE\\
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\hline
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2018-05-25 & 10 & 5 & MAYOTTE\\
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\hline
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\end{tabular}
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\end{minipage}
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\begin{minipage}{0.5\linewidth}
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\begin{enumerate}
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\item Où s'est passé le tremblement de terre le plus fort?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\item Où s'est passé le tremblement de terre le plus profond dimanche 27 mai?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{minipage}
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\end{exercise}
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\begin{exercise}[subtitle={Le temps}]
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\begin{enumerate}
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\item Quelle heure indique ces deux horloges?
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~
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\vspace{1.5cm}
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\hspace{1cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}]
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\clockATick{1}{25}
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\end{tikzpicture}
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\hspace{2cm}
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............
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\hspace{2.5cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
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\clockBTick{7}{45}
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\end{tikzpicture}
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\hspace{2cm}
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............
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\vspace{2cm}
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\item Placer les aiguilles correctement.
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~
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\vspace{1.5cm}
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\hspace{1cm}
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\begin{tikzpicture}[cap=round, rotate=90, transform canvas={scale=0.25}]
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\clockA
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\end{tikzpicture}
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\hspace{2cm}
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9h20
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\hspace{2.5cm}
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\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
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\clockB
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\end{tikzpicture}
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\hspace{2cm}
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4h55
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\vspace{2cm}
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\item Compléter les trous (justifier par le calcul en dessous).
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\begin{multicols}{2}
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\begin{enumerate}
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\item $1h =$ \parbox{2cm}{\dotfill} min
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\\[0.2cm].\dotfill
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\item $7h =$ \parbox{2cm}{\dotfill} min
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\\[0.2cm].\dotfill
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\item $4h 45 =$ \parbox{2cm}{\dotfill} min
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\\[0.2cm].\dotfill
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\item $20min15s =$ \parbox{2cm}{\dotfill} s
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\\[0.2cm].\dotfill
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{exercise}
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\begin{exercise}[subtitle={Histoire de champs}]
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Voici de 2 champs.
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\begin{center}
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\includegraphics[scale=1]{./fig/champs-2}
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\end{center}
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\begin{enumerate}
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\item Lequel des 2 champs va demander le moins de clôture pour faire le tour?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\item Lequel de ces 2 champs va donner le plus d'espace pour des faire vivre des chèvres?
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\\[0.2cm] .\dotfill
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\end{enumerate}
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\end{exercise}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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