154 lines
4.5 KiB
TeX
154 lines
4.5 KiB
TeX
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\documentclass[a4paper,12pt,landscape, twocolumn]{/media/documents/Cours/Prof/Enseignements/2014-2015/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2014-2015/2014_2015}
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% Title Page
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\titre{Identités remarquables - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{\seconde}
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\date{Mars 2015}
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\begin{document}
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\begin{questions}
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\question
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\begin{parts}
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\part 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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$4x^2 + 4x \qquad \bullet$ \\[0.5cm]
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$48x + 9x^2 \qquad \bullet$ \\[0.5cm]
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$6x^2 - 4x \qquad \bullet$ \\[0.5cm]
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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 $4x(x + 1)$
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\item $-2x(-3x + 2)$
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\item $4x(x + 4)$
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\item $9x(48x + 1)$
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\item $x(48x + 9)$
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\item $2x(3x - 2)$
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\end{itemize}
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\end{minipage}
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\part Développer puis factoriser les expressions suivantes
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\begin{eqnarray*}
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A = 5x^2 + 10 & \qquad & B = x^2 + x \\
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C = 20x^2 + 10 & \qquad & D = (x + 2)^2 - 4
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\end{eqnarray*}
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\end{parts}
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\question
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\begin{parts}
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\part 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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$4x^2 + 4x + 1 \qquad \bullet$ \\[0.5cm]
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$64x^2 - 48x + 9 \qquad \bullet$ \\[0.5cm]
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$36x^2 + 60x + 25 \qquad \bullet$ \\[0.5cm]
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$36x^2 - 60x + 25 \qquad \bullet$
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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 $(8x - 3)^2$
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\item $(6x + 5)^2$
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\item $(2x + 1)^2$
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\item $(6x - 5)^2$
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\item $(36x + 25)^2$
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\item $(4x + 1)^2$
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\item $(2x - 1)^2$
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\item $(8x + 3)^2$
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\end{itemize}
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\end{minipage}
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\part Factoriser l'expression suivante
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\begin{eqnarray*}
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A & = & 25x^2 + 30x + 9
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\end{eqnarray*}
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\end{parts}
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\pagebreak
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\question
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\begin{parts}
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\part 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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$4x + 4x^2 + 1 \qquad \bullet$ \\[0.5cm]
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$9 - 48x + 64x^2 \qquad \bullet$ \\[0.5cm]
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$4 + 49x^2 - 28x \qquad \bullet$ \\[0.5cm]
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$16x + 16x^2 + 4 \qquad \bullet$
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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 $(2x + 1)^2$
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\item $(8x - 3)^2$
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\item $(7x + 3)^2$
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\item $(2x + 4)^2$
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\item $(2x - 1)^2$
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\item $(3 - 7x)^2$
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\item $(2 + 4x)^2$
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\item $(8x + 3)^2$
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\end{itemize}
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\end{minipage}
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\part Factoriser les expressions suivantes
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\begin{eqnarray*}
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A = 4 + 25x^2 + 20x & \qquad & B = -72x + 81x^2 + 16
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\end{eqnarray*}
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\end{parts}
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\question
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\begin{parts}
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\part Relier les expressions égales entres elles.
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\begin{minipage}[c]{0.15\textwidth}
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\flushright
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$4x^2 - 9 \qquad \bullet$ \\[0.5cm]
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$64x^2 - 16 \qquad \bullet$ \\[0.5cm]
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$49x^2 - 81\qquad \bullet$ \\[0.5cm]
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$36 - 9x^2 \qquad \bullet$
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\end{minipage}
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\hspace{2cm}
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\begin{minipage}[c]{0.2\textwidth}
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\begin{itemize}
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\item $(4x - 9)^2$
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\item $(3x + 6)(3x - 6)$
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\item $(7x + 9)(9 - 7x)$
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\item $(8x + 4)^2$
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\item $(4x + 9)(4x - 9)$
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\item $(7x + 9)(7x - 9)$
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\item $(8x - 4)(8x + 4)$
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\item $(6 - 3x)(6 + 3x)$
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\end{itemize}
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\end{minipage}
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\part Factoriser les expressions suivantes
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\begin{eqnarray*}
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A = 2x^2 - 9 \hspace{2cm} B = 9x^2 - 25 \\[0.5cm]
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C = 64x^2 - 1 \hspace{2cm} D = x^2 - 16
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\end{eqnarray*}
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\end{parts}
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\end{questions}
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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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