import work from year 2015-2016
This commit is contained in:
Benjamin Bertrand
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3e/Expression_litterale/Factoriser/exo_brevet.pdf
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3e/Expression_litterale/Factoriser/exo_brevet.pdf
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3e/Expression_litterale/Factoriser/exo_brevet.tex
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3e/Expression_litterale/Factoriser/exo_brevet.tex
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\documentclass[a4paper,12pt,xcolor=table]{/media/documents/Cours/Prof/Enseignements/tools/style/classPres}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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\author{}
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\title{}
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\date{}
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\begin{document}
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\begin{frame}
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On cherche à résoudre l'équation $(4x - 3)^2 - 9 = 0$.
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\begin{enumerate}
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\item Le nombre $\dfrac{3}{4}$ est-il solution de cette équation ? \\ Et le nombre $2$ ?
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\item Prouver que, pour tout nombre $x$, \[(4x - 3)^2 - 9 = 4x(4x - 6)\]
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\item Déterminer les solutions de l'équation \[(4x - 3)^2 - 9 = 0\]
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\end{enumerate}
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\end{frame}
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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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3e/Expression_litterale/Factoriser/exo_intro.pdf
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3e/Expression_litterale/Factoriser/exo_intro.pdf
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3e/Expression_litterale/Factoriser/exo_intro.tex
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3e/Expression_litterale/Factoriser/exo_intro.tex
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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% Title Page
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\titre{Factorisation - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Avril 2016}
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\pagestyle{empty}
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\geometry{left=5mm,right=5mm, bottom= 10mm, top=10mm}
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\begin{document}
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\begin{Exo}
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\begin{enumerate}
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\item Relier les expressions égales entres elles.
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\begin{minipage}[c]{0.2\textwidth}
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\flushright
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$3x + 9 \qquad \bullet$ \\[0.5cm]
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$2x^2 + 3 \qquad \bullet$ \\[0.5cm]
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$3x^2 + 9x \qquad \bullet$ \\[0.5cm]
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$25x^2 + 5 \qquad \bullet$
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.1\textwidth}
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\begin{itemize}
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\item $5(x+5)$
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\item $x(2x+3)$
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\item $5x(5x+1)$
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\item $x(3x+9)$
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\item $3(x+9)$
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\item $3x(x^2 +3)$
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\item $3(x+3)$
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\item $x(x+3)$
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\end{itemize}
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\end{minipage}
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\item Factoriser les expressions suivantes
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\begin{multicols}{2}
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\begin{enumerate}
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\item $4x + 6$
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\item $3x^2 + 2x$
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\item $25x^2 + 16x$
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\item $2x + 5x^2$
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
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\item Relier les expressions égales entres elles.
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\begin{minipage}[c]{0.2\textwidth}
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\flushright
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$3x + 9 \qquad \bullet$ \\[0.5cm]
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$2x^2 + 3 \qquad \bullet$ \\[0.5cm]
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$3x^2 + 9x \qquad \bullet$ \\[0.5cm]
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$25x^2 + 5 \qquad \bullet$
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.1\textwidth}
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\begin{itemize}
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\item $5(x+5)$
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\item $x(2x+3)$
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\item $5x(5x+1)$
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\item $x(3x+9)$
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\item $3(x+9)$
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\item $3x(x^2 +3)$
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\item $3(x+3)$
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\item $x(x+3)$
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\end{itemize}
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\end{minipage}
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\item Factoriser les expressions suivantes
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\begin{multicols}{2}
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\begin{enumerate}
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\item $4x + 6$
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\item $3x^2 + 2x$
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\item $25x^2 + 16x$
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\item $2x + 5x^2$
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\pagebreak
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\begin{Exo}
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\begin{enumerate}
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\item Relier les expressions égales entres elles.
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\begin{minipage}[c]{0.2\textwidth}
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\flushright
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$3x + 9 \qquad \bullet$ \\[0.5cm]
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$2x^2 + 3 \qquad \bullet$ \\[0.5cm]
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$3x^2 + 9x \qquad \bullet$ \\[0.5cm]
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$25x^2 + 5 \qquad \bullet$
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.1\textwidth}
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\begin{itemize}
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\item $5(x+5)$
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\item $x(2x+3)$
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\item $5x(5x+1)$
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\item $x(3x+9)$
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\item $3(x+9)$
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\item $3x(x^2 +3)$
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\item $3(x+3)$
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\item $x(x+3)$
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\end{itemize}
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\end{minipage}
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\item Factoriser les expressions suivantes
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\begin{multicols}{2}
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\begin{enumerate}
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\item $4x + 6$
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\item $3x^2 + 2x$
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\item $25x^2 + 16x$
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\item $2x + 5x^2$
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{Exo}
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\setcounter{exo}{0}
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\begin{Exo}
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\begin{enumerate}
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\item Relier les expressions égales entres elles.
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\begin{minipage}[c]{0.2\textwidth}
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\flushright
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$3x + 9 \qquad \bullet$ \\[0.5cm]
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$2x^2 + 3 \qquad \bullet$ \\[0.5cm]
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$3x^2 + 9x \qquad \bullet$ \\[0.5cm]
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$25x^2 + 5 \qquad \bullet$
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.1\textwidth}
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\begin{itemize}
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\item $5(x+5)$
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\item $x(2x+3)$
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\item $5x(5x+1)$
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\item $x(3x+9)$
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\item $3(x+9)$
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\item $3x(x^2 +3)$
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\item $3(x+3)$
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\item $x(x+3)$
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\end{itemize}
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\end{minipage}
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\item Factoriser les expressions suivantes
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\begin{multicols}{2}
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\begin{enumerate}
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\item $4x + 6$
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\item $3x^2 + 2x$
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\item $25x^2 + 16x$
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\item $2x + 5x^2$
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{Exo}
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\pagebreak
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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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3e/Expression_litterale/Factoriser/exo_intro2.pdf
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3e/Expression_litterale/Factoriser/exo_intro2.pdf
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3e/Expression_litterale/Factoriser/exo_intro2.tex
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3e/Expression_litterale/Factoriser/exo_intro2.tex
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2015_2016}
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% Title Page
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\titre{Factorisation - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Avril 2016}
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\pagestyle{empty}
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\geometry{left=5mm,right=5mm, bottom= 10mm, top=10mm}
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\newcommand{\exoEnCours}{
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\begin{Exo}
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\begin{enumerate}
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\item Relier les expressions égales entres elles.
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\begin{minipage}[c]{0.2\textwidth}
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\flushright
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$6x + 12 \qquad \bullet$ \\[0.5cm]
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$3x^2 + 10x \qquad \bullet$ \\[0.5cm]
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$15x^2 + 5x \qquad \bullet$ \\[0.5cm]
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$14x^2 + 7 \qquad \bullet$
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.1\textwidth}
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\begin{itemize}
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\item $x(3x+10)$
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\item $15x(x+1)$
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\item $7(2x^2+1)$
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\item $3x(x+10)$
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\item $x(15x+5)$
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\item $6(x+2)$
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\item $5x(3x+1)$
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\end{itemize}
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\end{minipage}
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\item Factoriser les expressions suivantes
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\begin{multicols}{2}
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\begin{enumerate}
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\item $9x + 27$
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\item $15x^2 + 2x$
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\item $14x^2 + 2x$
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\item $10x + 7x^2$
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\end{enumerate}
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\end{multicols}
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\end{enumerate}
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\end{Exo}
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}
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\begin{document}
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\exoEnCours
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\setcounter{exo}{0}
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\exoEnCours
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\setcounter{exo}{0}
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\pagebreak
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\exoEnCours
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\setcounter{exo}{0}
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\exoEnCours
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\pagebreak
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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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