1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85
|
\documentclass[a4paper,10pt,francais,oneside,openright]{book}
\usepackage[frenchb]{babel}
\usepackage{amsmath} %% commandes essentielles
\usepackage{answers} %% exo+correction
\usepackage{enumerate} %% listes
\usepackage{multicol} % multicolonnage
%
%----Structure Exercice-----
\newtheorem{Exc}{Exercice}
\Newassociation{correction}{Soln}{mycor}
\Newassociation{indication}{Indi}{myind}
\renewcommand{\Solnlabel}[1]{\bf \emph{Corrigé exercice #1:} \par}
\renewcommand{\Indilabel}[1]{\bf \emph{Indication exercice #1:} \par}
%
\def\exo#1{\futurelet\testchar\MaybeOptArgmyexoo}
\def\MaybeOptArgmyexoo{\ifx[\testchar \let\next\OptArgmyexoo
\else \let\next\NoOptArgmyexoo \fi \next}
\def\OptArgmyexoo[#1]{\begin{Exc}[#1]\normalfont}
\def\NoOptArgmyexoo{\begin{Exc}\normalfont}
%
\newcommand{\finexo}{\end{Exc}}
%
\newcommand{\flag}[1]{}
%
%
\begin{document}
%
%
%
\exo{}[5 points]
Calcule en donnant le résultat en écriture fractionnaire:
\begin{multicols}{5}
\begin{enumerate}[A=]
\item $\frac{-5}{6} \div \frac{12}{25}$
\item $\frac{8}{7} \div \frac{21}{2}$
\item $\frac{-2}{7} \div \frac{6}{3}$
\item $\frac{1}{2} \div \frac{14}{5}$
\item $\frac{3}{5} \div \frac{21}{15}$
\end{enumerate}
\end{multicols}
%
\begin{correction}
\begin{multicols}{5}
\begin{align*}
A & = \frac{-5}{6} \div \frac{12}{25}\\
A & = \frac{-5}{6} \times \frac{25}{12}\\
A & = -\frac{5 \times 25}{6 \times 12}\\
A & = - \frac{125}{72}
\end{align*}
\begin{align*}
B & = \frac{8}{7} \div \frac{21}{2}\\
B & = \frac{8}{7} \times \frac{2}{21}\\
B & = \frac{8 \times 2}{7 \times 21}\\
B & = \frac{16}{147}
\end{align*}
\begin{align*}
C & = \frac{-2}{7} \div \frac{6}{3}\\
C & = \frac{-2}{7} \times \frac{3}{6}\\
C & = - \frac{2 \times 3}{7 \times 6}\\
C & = - \frac{2 \times 3}{7 \times 2 \times 3}\\
C & = - \frac{1}{7}
\end{align*}
\begin{align*}
D & = \frac{1}{2} \div \frac{14}{5}\\
D & = \frac{1}{2} \times \frac{5}{14}\\
D & = \frac{1 \times 5}{2 \times 14}\\
D & = \frac{5}{28}
\end{align*}
\begin{align*}
E & = \frac{3}{5} \div \frac{21}{15}\\
E & = \frac{3}{5} \times \frac{15}{21}\\
E & = \frac{3 \times 15}{5 \times 21}\\
E & = \frac{3 \times 3 \times 5}{5 \times 3 \times 7}\\
E & = \frac{3}{7}
\end{align*}
\end{multicols}
\end{correction}
\finexo
%
%
%
\end{document} |
Partager