52 lines
2.5 KiB
TeX
52 lines
2.5 KiB
TeX
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\collectexercises{banque}
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\begin{exercise}[subtitle={Parc de batteries}, step={1}, origin={Création}, topics={Aire sous la courbe}, tags={Intégrale, Analyse}]
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On veut comparer 3 sources d'énergies pour recharger un parc de 5 batteries de 490Wh chacune.
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\begin{itemize}
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\item \textbf{Générateur thermique} d'une puissance constante de 110W.
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\item \textbf{Électricité} en prenant compte heure pleine, heure creuse la capacité varie comme ci-dessous
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\begin{tikzpicture}[scale=0.8]
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\draw (0, 3) node [above] {Puissance (W)};
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\draw (0, 1) node [left] {100};
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\draw (12, 0) node [above right] {Heure};
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\draw (3, 0) node [below] {6};
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\draw (6, 0) node [below] {12};
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\draw (9, 0) node [below] {18};
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\draw (12, 0) node [below] {24};
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\draw (12, 0) node [above right] {Heure};
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\draw[very thin, gray, xstep=0.5] (0,0) grid (12,3);
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\draw[->, very thick] (-0.5,0) -- (12.5,0);
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\draw[->, very thick] (0,-0.5) -- (0,3.2);
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\draw[very thick, color=red] plot coordinates{(0,1) (3,1) (3,2) (6,2) (6,1) (9,1) (9,2) (12,2) (12,1)};
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\end{tikzpicture}
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\item \textbf{Solaire} en prenant compte la variation de l'ensoleillement la capacité varie comme ci-dessous
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\begin{tikzpicture}[scale=0.8]
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\draw (0, 3) node [above] {Puissance (W)};
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\draw (0, 1) node [left] {100};
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\draw (12, 0) node [above right] {Heure};
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\draw (3, 0) node [below] {6};
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\draw (6, 0) node [below] {12};
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\draw (9, 0) node [below] {18};
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\draw (12, 0) node [below] {24};
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\draw (12, 0) node [above right] {Heure};
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\draw[very thin, gray, xstep=0.5] (0,0) grid (12,3);
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\draw[->, very thick] (-0.5,0) -- (12.5,0);
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\draw[->, very thick] (0,-0.5) -- (0,3.2);
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\draw[very thick, color=red] plot coordinates{(0, 0) (3,0) (5.5,3) (7,3) (10,0) (12,0) };
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\end{tikzpicture}
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\end{itemize}
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\begin{enumerate}
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\item Combien de batteries pourront être rechargées entre 14h et 20h avec chacune de ses 3 solutions?
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\item Quels sont les solutions qui permettent de recharger tout le parc de batteries sur une journée?
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\end{enumerate}
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\end{exercise}
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\collectexercisesstop{banque}
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