80 lines
2.1 KiB
TeX
80 lines
2.1 KiB
TeX
\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\author{Benjamin Bertrand}
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\title{Évolution - Cours}
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\date{Septembre 2022}
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\pagestyle{empty}
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\begin{document}
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\maketitle
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\setcounter{section}{1}
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\section{Calculer une évolution}
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\begin{propriete}[Evolutions]
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Soit une grandeur qui passe de $v_i$(valeur initiale) à $v_f$(valeur finale).
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\begin{multicols}{2}
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Évolution absolue
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\begin{center}
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\begin{tikzpicture}[
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roundnode/.style={circle, draw=highlightbg, fill=green!5, very thick, minimum size=3mm},
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]
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%Nodes
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\node[roundnode] (leftterme) at (0, 0) {\makebox[0.5cm]{$v_i$}};
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\node[roundnode] (rightterm) at (4, 0) {\makebox[0.5cm]{$v_f$}};
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%Lines
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\path[->] (leftterme) edge [bend left] node [above] {"+a"} (rightterm);
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\end{tikzpicture}
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\end{center}
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La variation absolue se calcule par
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\[
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a = v_f - v_i
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\]
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\columnbreak
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Évolution relative
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\begin{center}
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\begin{tikzpicture}[
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roundnode/.style={circle, draw=highlightbg, fill=green!5, very thick, minimum size=3mm},
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]
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%Nodes
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\node[roundnode] (leftterme) at (0, 0) {\makebox[0.5cm]{$v_i$}};
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\node[roundnode] (rightterm) at (4, 0) {\makebox[0.5cm]{$v_f$}};
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%Lines
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\path[->] (leftterme) edge [bend left] node [above] {"+t\%"} (rightterm);
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\end{tikzpicture}
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\end{center}
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La variation relative ou le taux d'évoluiton se calcule par
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\[
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t = \frac{v_f - v_i}{v_i}
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\]
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Le coefficient multiplicateur se calcule par
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\[
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CM = \frac{v_f}{v_i}
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\]
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\end{multicols}
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~\\
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\end{propriete}
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\paragraph{Exemples:}~
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Le prix d'une robe est passé de 80\euro à 70\euro.
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\begin{itemize}
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\item Variation absolue:
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\item Taux d'évolution:
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\item coefficient multiplicateur
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\end{itemize}
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\afaire{}
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\end{document}
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