From 0e73df7d84860e4099668caea66675bdb7f7aa27 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Sun, 16 May 2021 20:42:21 +0200 Subject: [PATCH] Feat: QF pour les TST --- TST/Questions_Flash/P5/QF_21_05_17-1.pdf | Bin 0 -> 53150 bytes TST/Questions_Flash/P5/QF_21_05_17-1.tex | 28 +++++++-- TST/Questions_Flash/P5/QF_21_05_17-2.pdf | Bin 0 -> 53242 bytes TST/Questions_Flash/P5/QF_21_05_17-2.tex | 72 +++++++++++++++++++++++ TST/Questions_Flash/P5/QF_21_05_17-3.pdf | Bin 0 -> 53264 bytes TST/Questions_Flash/P5/QF_21_05_17-3.tex | 72 +++++++++++++++++++++++ 6 files changed, 167 insertions(+), 5 deletions(-) create mode 100644 TST/Questions_Flash/P5/QF_21_05_17-1.pdf create mode 100644 TST/Questions_Flash/P5/QF_21_05_17-2.pdf create mode 100755 TST/Questions_Flash/P5/QF_21_05_17-2.tex create mode 100644 TST/Questions_Flash/P5/QF_21_05_17-3.pdf create mode 100755 TST/Questions_Flash/P5/QF_21_05_17-3.tex diff --git a/TST/Questions_Flash/P5/QF_21_05_17-1.pdf 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Pour l'indice, on prend l'année 2014 comme référence. - En 2017, son chiffre d'affaire est de 80 millions d'euros + \begin{center} + \begin{tabular}{|c|*{3}{c|}} + \hline + Année & 2014 & 2015 & 2016 \\ + \hline + Prix & 248 & 188.5 & 237 \\ + \hline + Indice & 100 & 76 & \\ + \hline + \end{tabular} + \end{center} \vfill - Calculer l'indice en 2017 + Calculer l'indice en 2016 \vfill \end{frame} \begin{frame}[fragile]{Calcul 2} - Soit $P(x) = $ un polynôme dont les racines sont $x = 3$ et $x = -2$. + Le polynôme $P(x) = 5x^2 - 5x - 30$ a pour racines $x = 3$ et $x = -2$. Déterminer la forme factorisée de $P(x)$ \end{frame} @@ -42,6 +51,15 @@ \end{frame} \begin{frame}[fragile]{Calcul 4} + Tracer approximativement une fonction qui a le tableau de variations suivant (vous placerez les valeurs du tableur sur ce graphique). + + \begin{center} + \begin{tikzpicture}[baseline=(current bounding box.south)] + \tkzTabInit[lgt=2,espcl=2] + {$ x $/1, $ f(x) $/2}{$-\infty$, 0, $+\infty$ } + \tkzTabVar{ +/, -/1, +/} + \end{tikzpicture} + \end{center} \end{frame} \begin{frame}{Fin} diff --git a/TST/Questions_Flash/P5/QF_21_05_17-2.pdf b/TST/Questions_Flash/P5/QF_21_05_17-2.pdf new file mode 100644 index 0000000000000000000000000000000000000000..60ee462abbde9314768ae11fe35311266be634c6 GIT binary patch literal 53242 zcmce;1CV7;zAap~ZQHhOS9RIwGP`Wswv8^^wr$(?>;KH1_r3ULBHq0(VkRT@iQJia zcI*|IKjd0@4yl5O7%d|mD-`L>!r%%NBLe{gfvuqh6b}y+y^5Qi2?4#jyrG4OkrNcX z@-IWDzqN?jI#@%|3klh}5@`K3o{`~imkt#DUp;^O79$kBtbvn*`JWMte@6W2|LgP5 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b/TST/Questions_Flash/P5/QF_21_05_17-3.tex new file mode 100755 index 0000000..2d3ee2a --- /dev/null +++ b/TST/Questions_Flash/P5/QF_21_05_17-3.tex @@ -0,0 +1,72 @@ +\documentclass[12pt]{classPres} +\usepackage{tkz-fct} + +\author{} +\title{} +\date{} + +\begin{document} +\begin{frame}{Questions flashs} + \begin{center} + \vfill + Terminale ST + \vfill + 30 secondes par calcul + \vfill + \tiny \jobname + \end{center} +\end{frame} + +\begin{frame}{Calcul 1} + Ci-dessous un tableur résumant l'évolution de l'indice et du prix de matières première. Pour l'indice, on prend l'année 2014 comme référence. + + \begin{center} + \begin{tabular}{|c|*{4}{c|}} + \hline + Année & 2014 & 2015 & 2016 & 2017\\ + \hline + Prix & & 188.5 & 155 & \\ + \hline + Indice & 100 & & 50 & 123\\ + \hline + \end{tabular} + \end{center} + \vfill + + Calculer l'indice pour l'année 2015. + \vfill +\end{frame} + +\begin{frame}[fragile]{Calcul 2} + Le polynôme $P(x) = x^2-4x + 4$ a pour racine $x = 2$. + + Déterminer la forme factorisée de $P(x)$ +\end{frame} + +\begin{frame}{Calcul 3} + Dériver l'expression suivante + \[ + f(x) = \frac{-1}{6}x^2 + \frac{1}{2}x - 0.01 + \] +\end{frame} + +\begin{frame}[fragile]{Calcul 4} + Tracer approximativement une fonction qui a le tableau de variations suivant (vous placerez les valeurs du tableau sur le graphique). + + \begin{center} + \begin{tikzpicture}[baseline=(current bounding box.south)] + \tkzTabInit[lgt=2,espcl=2] + {$ x $/1, $ f(x) $/2}{$-\infty$, 0, 5, $+\infty$ } + \tkzTabVar{ -/, +/10, -/1, +/} + \end{tikzpicture} + \end{center} +\end{frame} + +\begin{frame}{Fin} + \begin{center} + On retourne son papier. + \end{center} +\end{frame} + + +\end{document}