DS_18_05_30 pour les 601 (non terminé)
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6e/DS/DS_18_05_30/DS_18_05_30-1.pdf
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6e/DS/DS_18_05_30/DS_18_05_30-1.pdf
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6e/DS/DS_18_05_30/DS_18_05_30-1.tex
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6e/DS/DS_18_05_30/DS_18_05_30-1.tex
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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{1}
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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={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{7}{30}
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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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\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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10h20
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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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\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 $8h =$ \parbox{2cm}{\dotfill} min
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\\[0.2cm].\dotfill
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\item $5h 25min =$ \parbox{2cm}{\dotfill} min
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\\[0.2cm].\dotfill
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\item $15min10s =$ \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-1}
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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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\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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\begin{minipage}{0.5\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 & 5.0 & 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 & 5.0 & 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 & 5.0 & MAYOTTE\\
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\hline
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2018-05-25 & 10 & 5.0 & 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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\end{enumerate}
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\end{minipage}
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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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6e/DS/DS_18_05_30/fig/champs.svg
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
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<svg
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xmlns:dc="http://purl.org/dc/elements/1.1/"
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xmlns:cc="http://creativecommons.org/ns#"
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xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
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xmlns:svg="http://www.w3.org/2000/svg"
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xmlns="http://www.w3.org/2000/svg"
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id="svg8"
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version="1.1"
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viewBox="0 0 79.372215 30.054155"
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height="30.054155mm"
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width="79.372215mm">
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<defs
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id="defs2">
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<marker
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style="overflow:visible"
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id="Arrow1Mend"
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refX="0"
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refY="0"
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orient="auto">
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<path
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transform="matrix(-0.4,0,0,-0.4,-4,0)"
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||||||
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style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
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d="M 0,0 5,-5 -12.5,0 5,5 Z"
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||||||
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id="path855" />
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</marker>
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<marker
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style="overflow:visible"
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||||||
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id="Arrow1Mstart"
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||||||
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refX="0"
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||||||
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refY="0"
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||||||
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orient="auto">
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||||||
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<path
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||||||
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transform="matrix(0.4,0,0,0.4,4,0)"
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||||||
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style="fill:#000000;fill-opacity:1;fill-rule:evenodd;stroke:#000000;stroke-width:1.00000003pt;stroke-opacity:1"
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d="M 0,0 5,-5 -12.5,0 5,5 Z"
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||||||
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id="path852" />
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</marker>
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</defs>
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<metadata
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||||||
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id="metadata5">
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||||||
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<rdf:RDF>
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||||||
|
<cc:Work
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||||||
|
rdf:about="">
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<dc:format>image/svg+xml</dc:format>
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<dc:type
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rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
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<dc:title></dc:title>
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</cc:Work>
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</rdf:RDF>
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</metadata>
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||||||
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<g
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||||||
|
transform="translate(-11.172407,-136.13989)"
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|
id="layer1">
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<g
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id="g952">
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<circle
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style="opacity:1;vector-effect:none;fill:#4ecb46;fill-opacity:0.63809526;fill-rule:nonzero;stroke:#000000;stroke-width:0.70555556;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1"
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id="path815"
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cx="23.887167"
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|
cy="151.16698"
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|
r="12.361981" />
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<g
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id="g842"
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transform="matrix(0.39981473,0,0,0.39981473,9.8457104,80.340171)"
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style="fill:#399433;fill-opacity:0.63809527;stroke-width:1.76470625;stroke-miterlimit:4;stroke-dasharray:none">
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<path
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id="path823"
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d="m 37.336212,174.93275 -4.43261,4.43261"
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style="fill:#399433;fill-opacity:0.63809527;stroke:#000000;stroke-width:1.76470625;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
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<path
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id="path823-3"
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d="m 32.903602,174.93275 4.43261,4.43261"
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style="fill:#399433;fill-opacity:0.63809527;stroke:#000000;stroke-width:1.76470625;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" />
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</g>
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<path
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style="fill:none;stroke:#000000;stroke-width:0.26458332px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;marker-start:url(#Arrow1Mstart);marker-end:url(#Arrow1Mend)"
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d="m 24.773278,150.28086 6.607758,-7.30439"
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id="path844" />
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<text
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xml:space="preserve"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
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x="18.605803"
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y="145.5444"
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id="text2806"><tspan
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id="tspan2804"
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x="18.605803"
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y="145.5444"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332">10m</tspan></text>
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y="136.49268"
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x="50.634567"
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height="24.645042"
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width="39.557278"
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id="rect817"
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style="opacity:1;vector-effect:none;fill:#4dcb45;fill-opacity:0.63921571;fill-rule:nonzero;stroke:#000000;stroke-width:0.70555556;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1" />
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<text
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id="text2810"
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y="166.13411"
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x="65.680679"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332"
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|
y="166.13411"
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x="65.680679"
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|
id="tspan2808">21m</tspan></text>
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|
<text
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|
transform="rotate(-90)"
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id="text2814"
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y="49.06979"
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x="-152.85002"
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:4.23333311px;line-height:1.25;font-family:sans-serif;-inkscape-font-specification:sans-serif;letter-spacing:0px;word-spacing:0px;fill:#000000;fill-opacity:1;stroke:none;stroke-width:0.26458332"
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xml:space="preserve"><tspan
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style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-family:sans-serif;-inkscape-font-specification:sans-serif;stroke-width:0.26458332"
|
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|
y="49.06979"
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|
x="-152.85002"
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|
id="tspan2812">12m</tspan></text>
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|
<g
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|
transform="translate(-2.169933)"
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|
id="g2864" />
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|
</g>
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|
</svg>
|
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After Width: | Height: | Size: 5.5 KiB |
Loading…
Reference in New Issue
Block a user