From 37821b00a49da7a498a7ab466a562bcca52c08f3 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 13 Sep 2018 09:00:01 +0200 Subject: [PATCH] H3 pour les Tesl --- PreStSauveur/TESL/Flash/F_18_09_10-1.pdf | Bin 0 -> 48120 bytes PreStSauveur/TESL/Flash/F_18_09_10-1.tex | 36 ++++++++++++++ .../Annale_satisfaction.pdf | Bin 0 -> 51764 bytes .../Annale_satisfaction.tex | 47 ++++++++++++++++++ 4 files changed, 83 insertions(+) create mode 100644 PreStSauveur/TESL/Flash/F_18_09_10-1.pdf create mode 100755 PreStSauveur/TESL/Flash/F_18_09_10-1.tex create mode 100644 PreStSauveur/TESL/Polynomes_derivation/Annale_satisfaction.pdf create mode 100644 PreStSauveur/TESL/Polynomes_derivation/Annale_satisfaction.tex diff --git a/PreStSauveur/TESL/Flash/F_18_09_10-1.pdf b/PreStSauveur/TESL/Flash/F_18_09_10-1.pdf new file mode 100644 index 0000000000000000000000000000000000000000..5cbf10fc909b49fb792308af5fefe2ba76beae3e GIT binary patch literal 48120 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zQ|fbgHgk`ST`R~GBeG$4Bk=6(FbZ90FEOCmv;{~loqlWWH{a6p$(?FcFT|ul8IkvR z7EbJ_q$a(2i}*sr&AX*KCzbi`P}RN{T^$Qw*AuUphW)df?4(nPNhyiC{$WsVNIb~V J(T_?7{Q=2csV@Kk literal 0 HcmV?d00001 diff --git a/PreStSauveur/TESL/Polynomes_derivation/Annale_satisfaction.tex b/PreStSauveur/TESL/Polynomes_derivation/Annale_satisfaction.tex new file mode 100644 index 0000000..418939e --- /dev/null +++ b/PreStSauveur/TESL/Polynomes_derivation/Annale_satisfaction.tex @@ -0,0 +1,47 @@ +\documentclass[a5paper,10pt]{article} +\usepackage{myXsim} + +\title{Annales: inspirée de Amérique du Nord 2018} +\tribe{Terminal ES-L} +\date{Septembre 2018} + +\renewcommand{\arraystretch}{1} + +\begin{document} + +\begin{exercise}[subtitle={Inspiré d'Amérique du Nord 2018}] + On appelle fonction \textbf{satisfaction} toute fonction dérivable qui prend ses valeurs entre 0 et 100. Lorsque la fonction \textbf{satisfaction} atteint la valeur 100, on dit qu’il y a \textbf{saturation}. On définit aussi la fonction \textbf{envie} comme la fonction dérivée de la fonction \textbf{satisfaction}. On dira qu’il y a \textbf{souhait} lorsque la fonction \textbf{envie} est positive ou nulle et qu’il y a \textbf{rejet} lorsque la fonction \textbf{envie} est strictement négative. + + Un étudiant prépare un concours, pour lequel sa durée de travail varie entre 0 et 6 heures par jour. Il modélise sa satisfaction en fonction de son temps de travail quotidien par la fonction \textbf{satisfaction} $f$ dont la formule est donnée ci-dessous (x est exprimé en heures): + \[ f(x) = -\frac{194}{18} x^2 + \frac{197}{3}x \] + \begin{enumerate} + \item Quelle est la \textbf{satisfaction} de cet étudiant au bout de 1h, 4h et 6h de travail? + \item Déterminer combien de temps dure la période de \textbf{souhait}? + \item Cet étudiant arrivera-t-il à atteindre la saturation? + \item Combien de fois dans la journée, l'étudiant atteindra-t-il une satisfaction égale à 50? + \item Pensez-vous que cette fonction modélise correctement la \textbf{satisfaction} que peu avoir un étudiant au cours d'une journée de préparation? + \end{enumerate} +\end{exercise} + +\begin{exercise}[subtitle={Un peu de techinque}] + \begin{enumerate} + \item Résoudre l'inéquation suivante + \[ -2x^2 + x + 8 \leq 0 \] + \item Étudier les variations des fonctions suivantes + \[ + f(x) = 2x^3 + 5x^2 + 10 + \] + \[ + g(x) = 6x^2 - 5x - 7 + \] + \end{enumerate} + +\end{exercise} + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: +