diff --git a/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.pdf b/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.pdf index 2508320..8d8dc2c 100644 Binary files a/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.pdf and b/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.pdf differ diff --git a/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.tex b/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.tex index 0bcf04e..7607707 100644 --- a/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.tex +++ b/PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.tex @@ -2,7 +2,7 @@ \usepackage{myXsim} \title{Thème A: résolutions d'équations et inéquations} -\tribe{Troisième} +\tribe{Terminale ES-L} \date{Septembre 2018} \renewcommand{\arraystretch}{1} diff --git a/PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.pdf b/PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.pdf new file mode 100644 index 0000000..8426562 Binary files /dev/null and b/PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.pdf differ diff --git a/PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.tex b/PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.tex new file mode 100644 index 0000000..aa09cf3 --- /dev/null +++ b/PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.tex @@ -0,0 +1,43 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\title{Thème B: tableau de signe et de variations} +\tribe{Terminal ES-L} +\date{Septembre 2018} + +\renewcommand{\arraystretch}{1} + +\begin{document} + +\section*{Tableau de signe et de variations} + +\hspace{-1cm} +\begin{minipage}{0.5\textwidth} + \begin{tikzpicture}[scale=0.8] + \repere{-5}{5}{-5}{5} + \draw[very thick, color=red] plot [smooth,tension=0.5, mark=*] coordinates{(-4, 4) (-3.5, 2) (-3, 0) (-2, 1) (-1, 0) (0, -2) (1, -3) (2, -2) (2.5,0) (3, 2) (4, 3)}; + \draw (4,3) node[above right] {$\mathcal{C}_f$}; + \end{tikzpicture} +\end{minipage} +\begin{minipage}{0.5\textwidth} + Tableau de signe + + \begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/1,$f(x)$/1}{-4, -3, -1, 2.5, 4} + \tkzTabLine{,+, z, +, z, -, z, +, } + \end{tikzpicture} + + Tableau de variations + + \begin{tikzpicture} + \tkzTabInit[lgt=1,espcl=2]{$x$/1,$f(x)$/1}{-4, -3, -2, 1, 4} + \tkzTabVar{+/ 4, -/ 0, +/ 1, -/ -3, +/ 3} + \end{tikzpicture} +\end{minipage} +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: + diff --git a/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.pdf b/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.pdf new file mode 100644 index 0000000..223122a Binary files /dev/null and b/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.pdf differ diff --git a/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.tex b/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.tex new file mode 100644 index 0000000..3a78197 --- /dev/null +++ b/PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.tex @@ -0,0 +1,44 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\title{Thème C: Dérivation et équation de la tangente} +\tribe{Terminale ES-L} +\date{Septembre 2018} + +\renewcommand{\arraystretch}{1} + +\begin{document} + +\begin{exercise}[subtitle={Dérivation et tangente}] + Soit $P$, $Q$ et $R$ trois polynômes + \[ P(x) = 3x^2 + 2x - 5 \hspace{1cm} Q(x) = -4x^4 + 3x^3 -19 \hspace{1cm} R(x) = (2x - 4)^2 -3x \] + \begin{enumerate} + \item Calculer les fonctions dérivées des 3 polynômes. + \item Calculer les quantités suivantes + \begin{multicols}{4} + \begin{enumerate} + \item $P(4)$ + \item $Q'(3)$ + \item $R(2)$ + \item $R'(2)$ + \end{enumerate} + \end{multicols} + \item Calculer l'équation de la tangente de + \begin{multicols}{4} + \begin{enumerate} + \item $R$ en 2 + \item $P$ en $d\frac{1}{3}$ + \item $Q$ en 0 + \item $R$ en -1 + \end{enumerate} + \end{multicols} + \end{enumerate} +\end{exercise} + +\end{document} + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: "master" +%%% End: +