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@ -25,25 +25,24 @@ Pour réaliser cette optimisation, on a utilisé plusieurs méthodes:
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Pour \textbf{optimiser}, la démarche sera toujours la même:
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\begin{center}
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\begin{tikzpicture}[auto, bend angle=45]
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\begin{tikzpicture}[auto]
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\tikzstyle{block} = [rectangle, draw=text, thick, fill=highlightbg,
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text width=7em, text centered, rounded corners, minimum height=4em];
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\tikzstyle{element} = [text width=7em, text centered, minimum height=4em];
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\tikzstyle{line} = [draw, thick, -latex];
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\matrix [column sep=12mm]
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{
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\node [element] (fct) {$f$ la fonction à optimiser}; &
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\node [element] (derv) {$f'$ la fonction dérivée}; &
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\node [element] (sgn) {Tableau de signes de $f'$}; &
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\node [element] (varia) {Tableau de variations de $f$}; &
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\node [element] (minmax) {Minimum ou maximum};
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\node [block] (fct) {$f$ la fonction à optimiser}; &
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\node [block] (derv) {$f'$ la fonction dérivée}; &
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\node [block] (sgn) {Tableau de signes de $f'$}; &
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\node [block] (varia) {Tableau de variations de $f$}; &
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\node [block] (minmax) {Minimum ou maximum};
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\\
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};
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\tikzstyle{every path}=[line]
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\path (fct) edge [bend left] node [block] {1. Dériver} (derv);
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\path (derv) edge [bend right] node [block, swap] {2. Étudier le signe} (sgn);
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\path (sgn) edge [bend left] node [block] {3. Déduire variation} (varia);
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\path (varia) edge [bend right] node [block, swap] {4. Identifier} (minmax);
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\path (fct) -- (derv);
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\path (derv) -- (sgn);
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\path (sgn) -- (varia);
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\path (varia) -- (minmax);
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\end{tikzpicture}
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\end{center}
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@ -1,34 +1,18 @@
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\documentclass[12pt]{classPres}
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\author{Benjamin Bertrand}
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\title{Dérivation - Cours}
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\date{août 2020}
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\DeclareExerciseCollection{banque}
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\xsimsetup{
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step=1,
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}
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\begin{document}
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\begin{frame}[fragile]
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\frametitle{Piscine en terrain triangulaire}
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\begin{minipage}{0.6\textwidth}
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On veut construire une piscine rectangle la plus grande possible sur un terrain triangulaire.
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\vspace{1cm}
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Où placer la piscine?
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Quelles seront ses dimensions?
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\end{minipage}
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\hfill
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\begin{minipage}{0.3\textwidth}
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\includegraphics[scale=0.5]{./fig/maison}
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\begin{tikzpicture}[scale=0.7, transform shape]
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\draw (0, 0) -- node [midway, above, rotate=90] {5m}
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(0,3) --
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(5, 0) -- node [midway, below] {11m} cycle;
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\end{tikzpicture}
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\end{minipage}
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\end{frame}
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\input{exercises.tex}
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\printcollection{banque}
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\end{document}
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