DS_18_05_30 pour les 601 (non terminé)

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Bertrand Benjamin 2018-05-28 11:42:39 +03:00
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\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"
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