DS9 pour les 601
This commit is contained in:
parent
27d3e4b659
commit
074d615b66
BIN
6e/DS/DS_18_04_11/DS_18_04_11-1.pdf
Normal file
BIN
6e/DS/DS_18_04_11/DS_18_04_11-1.pdf
Normal file
Binary file not shown.
@ -3,10 +3,151 @@
|
|||||||
|
|
||||||
\title{DS 9}
|
\title{DS 9}
|
||||||
\tribe{Sixième}
|
\tribe{Sixième}
|
||||||
\date{11 avril 2018}
|
\date{13 avril 2018}
|
||||||
|
|
||||||
\sujet{1}
|
\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}
|
\begin{document}
|
||||||
|
|
||||||
\competencesStatement
|
\competencesStatement
|
||||||
@ -15,18 +156,142 @@
|
|||||||
\bigskip
|
\bigskip
|
||||||
|
|
||||||
\begin{exercise}[subtitle={Angle et mesures}]
|
\begin{exercise}[subtitle={Angle et mesures}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item \textbf{Mesurer} les angles de la figure.
|
||||||
|
|
||||||
|
\includegraphics[scale=0.9]{./fig/mes_angles-1}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
$\widehat{ABC} = ....$ \hfill
|
||||||
|
$\widehat{BCD} = ....$ \hfill
|
||||||
|
$\widehat{CDE} = ....$
|
||||||
|
\end{center}
|
||||||
|
\item Tracer la droite (d) parallèle à la droite $(AB)$ passant par le point $C$
|
||||||
|
|
||||||
|
\includegraphics[scale=0.9]{./fig/paral-1}
|
||||||
|
\end{enumerate}
|
||||||
\end{exercise}
|
\end{exercise}
|
||||||
|
|
||||||
\begin{exercise}[subtitle={L'heure}]
|
\begin{exercise}[subtitle={L'heure}]
|
||||||
|
\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}
|
||||||
|
............
|
||||||
|
\hspace{2.5cm}
|
||||||
|
\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
|
||||||
|
\clockBTick{3}{55}
|
||||||
|
\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
|
||||||
|
\hspace{2.5cm}
|
||||||
|
\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
|
||||||
|
\clockB
|
||||||
|
\end{tikzpicture}
|
||||||
|
\hspace{2cm}
|
||||||
|
1h34
|
||||||
|
|
||||||
|
\vspace{2cm}
|
||||||
|
\end{enumerate}
|
||||||
\end{exercise}
|
\end{exercise}
|
||||||
|
|
||||||
\clearpage
|
\clearpage
|
||||||
|
|
||||||
\begin{exercise}[subtitle={}]
|
\begin{exercise}[subtitle={Longueur d'un pas}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Abdou a mesuré la longueur d'un de ses pas, 1 pas mesure 80cm.
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Complète le tableau avec la mesure que vient de faire Abdou.
|
||||||
|
|
||||||
|
\begin{tabular}{|c|*{5}{p{2cm}|}}
|
||||||
|
\hline
|
||||||
|
Nombre de pas & & & & & \\
|
||||||
|
\hline
|
||||||
|
Distance (en cm) & & & & & \\
|
||||||
|
\hline
|
||||||
|
\end{tabular}
|
||||||
|
\item Il a mesuré que pour sortir de la salle d'histoire, il devrait faire 6pas. Quelle distance parcourt il pour sortir?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Il a mesuré que pour aller du cours de français au cours de math, il faisait 20pas. Cela fait combien de cm?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Quand il est rentré chez lui, il a compté 554 pas. Combien de km a-t-il parcouru?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\end{enumerate}
|
||||||
|
\end{enumerate}
|
||||||
\end{exercise}
|
\end{exercise}
|
||||||
|
|
||||||
\begin{exercise}[subtitle={Taille d'élèves}]
|
\begin{exercise}[subtitle={Tailles des élèves}]
|
||||||
|
Dans le tableau ci-dessous, on a reporté les tailles des élèves d'une classe de 6e.
|
||||||
|
|
||||||
|
\begin{tabular}{|c|*{5}{p{2cm}|}}
|
||||||
|
\hline
|
||||||
|
Élève & Mariam & Abdou & Roubouanti & Ikram & Faiz \\
|
||||||
|
\hline
|
||||||
|
Taille & 1,5m & 1,45m & 1,63m & 1,4m & 1,53m \\
|
||||||
|
\hline
|
||||||
|
\end{tabular}
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Qui est la plus grande, Mariam ou Ikram?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Ranger en ordre croissant la taille des élèves.
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Convertir la taille de Roubouanti en cm.
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Convertir la taille de Abdou en km.
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\end{enumerate}
|
||||||
|
|
||||||
|
\vspace{3cm}
|
||||||
|
|
||||||
|
\begin{tikzpicture}[scale=8]
|
||||||
|
\draw (0,0) -> (2.2, 0);
|
||||||
|
\foreach \x in {0,...,2} {%
|
||||||
|
\draw (\x,0) -- (\x, -0.1);
|
||||||
|
}
|
||||||
|
\foreach \x in {0,...,21} {%
|
||||||
|
\draw ({0.1*\x},0) -- ({0.1*\x}, -0.07);
|
||||||
|
}
|
||||||
|
\foreach \x in {0,...,210} {%
|
||||||
|
\draw ({0.01*\x},0) -- ({0.01*\x}, -0.03);
|
||||||
|
}
|
||||||
|
\end{tikzpicture}
|
||||||
\end{exercise}
|
\end{exercise}
|
||||||
|
|
||||||
\end{document}
|
\end{document}
|
||||||
|
|
||||||
|
|
||||||
|
BIN
6e/DS/DS_18_04_11/DS_18_04_11-2.pdf
Normal file
BIN
6e/DS/DS_18_04_11/DS_18_04_11-2.pdf
Normal file
Binary file not shown.
302
6e/DS/DS_18_04_11/DS_18_04_11-2.tex
Normal file
302
6e/DS/DS_18_04_11/DS_18_04_11-2.tex
Normal file
@ -0,0 +1,302 @@
|
|||||||
|
\documentclass[a4paper,12pt]{article}
|
||||||
|
\usepackage{myXsim}
|
||||||
|
|
||||||
|
\title{DS 9}
|
||||||
|
\tribe{Sixième}
|
||||||
|
\date{13 avril 2018}
|
||||||
|
|
||||||
|
\sujet{2}
|
||||||
|
|
||||||
|
\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={L'heure}]
|
||||||
|
\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{1}{30}
|
||||||
|
\end{tikzpicture}
|
||||||
|
\hspace{2cm}
|
||||||
|
............
|
||||||
|
\hspace{2.5cm}
|
||||||
|
\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
|
||||||
|
\clockBTick{8}{5}
|
||||||
|
\end{tikzpicture}
|
||||||
|
\hspace{2cm}
|
||||||
|
............
|
||||||
|
\hspace{2.5cm}
|
||||||
|
\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
|
||||||
|
\clockBTick{10}{34}
|
||||||
|
\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}
|
||||||
|
2h25
|
||||||
|
\hspace{2.5cm}
|
||||||
|
\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
|
||||||
|
\clockB
|
||||||
|
\end{tikzpicture}
|
||||||
|
\hspace{2cm}
|
||||||
|
6h04
|
||||||
|
\hspace{2.5cm}
|
||||||
|
\begin{tikzpicture}[cap=round, transform canvas={scale=0.9}]
|
||||||
|
\clockB
|
||||||
|
\end{tikzpicture}
|
||||||
|
\hspace{2cm}
|
||||||
|
11h44
|
||||||
|
|
||||||
|
\vspace{2cm}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Longueur d'un pas}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Mariam a mesuré la longueur d'un de ses pas, 1 pas mesure 70cm.
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Complète le tableau avec la mesure que vient de faire Abdou.
|
||||||
|
|
||||||
|
\begin{tabular}{|c|*{5}{p{2cm}|}}
|
||||||
|
\hline
|
||||||
|
Nombre de pas & & & & & \\
|
||||||
|
\hline
|
||||||
|
Distance (en cm) & & & & & \\
|
||||||
|
\hline
|
||||||
|
\end{tabular}
|
||||||
|
\item Elle a mesuré que pour sortir de la salle d'histoire, elle devrait faire 6pas. Quelle distance parcourt elle pour sortir?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Elle a mesuré que pour aller du cours de français au cours de math, elle faisait 20pas. Cela fait combien de cm?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Quand elle est rentré chez elle, elle a compté 554 pas. Combien de km a-t-elle parcouru?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\end{enumerate}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\clearpage
|
||||||
|
\begin{exercise}[subtitle={Tailles des élèves}]
|
||||||
|
Dans le tableau ci-dessous, on a reporté les tailles des élèves d'une classe de 6e.
|
||||||
|
|
||||||
|
\begin{tabular}{|c|*{5}{p{2cm}|}}
|
||||||
|
\hline
|
||||||
|
Élève & Mariam & Abdou & Roubouanti & Ikram & Faiz \\
|
||||||
|
\hline
|
||||||
|
Taille & 1,5m & 1,45m & 1,63m & 1,4m & 1,53m \\
|
||||||
|
\hline
|
||||||
|
\end{tabular}
|
||||||
|
\begin{enumerate}
|
||||||
|
\item Qui est la plus grande, Mariam ou Ikram?
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Ranger en ordre croissant la taille des élèves.
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Convertir la taille de Faiz en cm.
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\item Convertir la taille de Mariam en km.
|
||||||
|
\\[0.2cm] .\dotfill
|
||||||
|
\end{enumerate}
|
||||||
|
|
||||||
|
\vspace{3cm}
|
||||||
|
|
||||||
|
\begin{tikzpicture}[scale=8]
|
||||||
|
\draw (0,0) -> (2.2, 0);
|
||||||
|
\foreach \x in {0,...,2} {%
|
||||||
|
\draw (\x,0) -- (\x, -0.1);
|
||||||
|
}
|
||||||
|
\foreach \x in {0,...,21} {%
|
||||||
|
\draw ({0.1*\x},0) -- ({0.1*\x}, -0.07);
|
||||||
|
}
|
||||||
|
\foreach \x in {0,...,210} {%
|
||||||
|
\draw ({0.01*\x},0) -- ({0.01*\x}, -0.03);
|
||||||
|
}
|
||||||
|
\end{tikzpicture}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
\begin{exercise}[subtitle={Angle et mesures}]
|
||||||
|
\begin{enumerate}
|
||||||
|
\item \textbf{Mesurer} les angles de la figure.
|
||||||
|
|
||||||
|
\includegraphics[scale=0.9]{./fig/mes_angles-2}
|
||||||
|
|
||||||
|
\begin{center}
|
||||||
|
$\widehat{ABC} = ....$ \hfill
|
||||||
|
$\widehat{BCD} = ....$ \hfill
|
||||||
|
$\widehat{CDE} = ....$
|
||||||
|
\end{center}
|
||||||
|
\item Tracer la droite (d) parallèle à la droite $(AB)$ passant par le point $C$
|
||||||
|
|
||||||
|
\includegraphics[scale=0.9]{./fig/paral-2}
|
||||||
|
\end{enumerate}
|
||||||
|
\end{exercise}
|
||||||
|
|
||||||
|
|
||||||
|
\end{document}
|
||||||
|
|
||||||
|
|
||||||
|
%%% Local Variables:
|
||||||
|
%%% mode: latex
|
||||||
|
%%% TeX-master: "master"
|
||||||
|
%%% End:
|
||||||
|
|
Loading…
Reference in New Issue
Block a user