diff --git a/PreStSauveur/1S/Flash/F_18_09_12-2.pdf b/PreStSauveur/1S/Flash/F_18_09_12-2.pdf new file mode 100644 index 0000000..75b212e Binary files /dev/null and b/PreStSauveur/1S/Flash/F_18_09_12-2.pdf differ diff --git a/PreStSauveur/1S/Flash/F_18_09_12-2.tex b/PreStSauveur/1S/Flash/F_18_09_12-2.tex new file mode 100755 index 0000000..ed209b1 --- /dev/null +++ b/PreStSauveur/1S/Flash/F_18_09_12-2.tex @@ -0,0 +1,49 @@ +\documentclass[a4paper,12pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + Développer et réduire l'expression + \[ A = (x-3)\times4 - (x-3)^2\] + Mettre sous forme canonique + \[ B = 9x^2 - 54x + 65 \] + \textbf{Bonus} factoriser ces 2 expressions. +\end{frame} + +\begin{frame}{Correction} + \begin{eqnarray*} + A &=& 4x - 12 - (x^2 - 6x +9) \\ + &=& 4x - 12 - x^2 + 6x - 9 \\ + &=& -x^2 + 10x - 21 + \end{eqnarray*} + \hline + \begin{eqnarray*} + B = 9x^2 - 54x + 65 + \end{eqnarray*} + \[ \alpha = \frac{-b}{2a} = 3 \] + \[ \beta = -\frac{b^2-4ac}{4a} = -\frac{36+38}{4} = -16 \] + \begin{eqnarray*} + B &=& 9(x - 3)^2 - 16 \\ + \end{eqnarray*} +\end{frame} +\begin{frame}{Bonus} + \begin{eqnarray*} + A &=& (x-3)\times4 - (x-3)^2\\ + &=& (x-3)(4 - x + 3)\\ + &=& (x-3)(-x + 7) + \end{eqnarray*} + \hline + \begin{eqnarray*} + B &=& 9(x - 3)^2 - 16 \\ + &=& \left[ 3(x-3) \right]^2- 4^2 \\ + &=& ( 3x - 9 - 4 ) (3x - 9 + 4) \\ + &=& (3x - 13)(3x - 5) + \end{eqnarray*} + +\end{frame} + +\end{document}