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On avance sur les thèmes

This commit is contained in:
Bertrand Benjamin 2018-09-07 10:23:06 +02:00
parent da9f8780cd
commit b9c34518cc
6 changed files with 88 additions and 1 deletions
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PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.pdf
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PreStSauveur/TESL/Polynomes_derivation/T1_etude_sgn.tex
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\usepackage{myXsim}
\title{Thème A: résolutions d'équations et inéquations}
\tribe{Troisième}
\tribe{Terminale ES-L}
\date{Septembre 2018}
\renewcommand{\arraystretch}{1}

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PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.pdf Normal file
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PreStSauveur/TESL/Polynomes_derivation/T2_tlb_varia_sgn.tex Normal file
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\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:

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PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.pdf Normal file
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PreStSauveur/TESL/Polynomes_derivation/T3_derivation_tangente.tex Normal file
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\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: