37 lines
767 B
TeX
Executable File
37 lines
767 B
TeX
Executable File
\documentclass[a4paper,12pt]{classPres}
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\usepackage{tkz-fct}
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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}{Questions flashs}
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Développer et réduire l'expression
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\[ A = (x-5)^2 - 7 \]
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Résoudre l'inéquation
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\[ x^2 - 6x - 7 > 0 \]
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\end{frame}
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\begin{frame}{Correction}
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\begin{eqnarray*}
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A &=& (x-5)^2 - 7 \\
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&=& x^2 - 10x + 25 - 7 \\
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&=& x^2 - 10x + 18
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\end{eqnarray*}
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\hline
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\begin{eqnarray*}
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x^2 - 6x - 7 > 0
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\end{eqnarray*}
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\[
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\Delta = b^2 - 4ac = 64 > 0
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\]
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On a 2 racines
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\[
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x_1 = \frac{-b-\sqrt{\Delta}}{2a} = \frac{6-8}{2} = -1 \hspace{0.5cm}
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x_2 = \frac{-b+\sqrt{\Delta}}{2a} = \frac{6+8}{2} = 7
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\]
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\end{frame}
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\end{document}
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