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a/1ST/Questions_flashs/P5/QF_S17-1.tex b/1ST/Questions_flashs/P5/QF_S17-1.tex new file mode 100755 index 0000000..e497094 --- /dev/null +++ b/1ST/Questions_flashs/P5/QF_S17-1.tex @@ -0,0 +1,81 @@ +\documentclass[12pt]{classPres} +\usepackage{tkz-fct} +\usepackage{pgfplots} +\usetikzlibrary{decorations.markings} +\pgfplotsset{compat=1.18} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \vfill + Première ST + \vfill + 30 secondes par calcul + \vfill + \textbf{Calculatrice non autorisée} + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + % Dérivation + \vfill + Calculer la dérivée de la fonction + \[ + f(x) = -4x^3 + x^2 + 10x + \] + \vfill +\end{frame} + +\begin{frame}{Calcul 2} + % Factorisation + \vfill + Démontrer que $f(x) = x^2 + 2x - 3$ peut se factoriser de la manière suivante + \vfill + \[ + f(x) = (x-1)(x+3) + \] + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 3} + % Développer + Compléter le tableau de signe de $f(x)$ + \[ + f(x) = 2(x-1)(x+2) + \] + \begin{center} + \small + \begin{tikzpicture} + \tkzTabInit[lgt=3,espcl=6]{$x$/1, /1, /1, /1, signe de $f(x)$/2}{\hspace{5cm}, \hspace{5cm}}% + \tkzTabLine{,,}% + \tkzTabLine{,,}% + \tkzTabLine{,,}% + \tkzTabLine{,,}% + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + % graphique + + Quelle est l'allure de la représentation graphique de la fonction suivante? + + \[ + f(x) = -10(x-5)(x+1) + \] +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document}