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a!_(5;(-$A{Q2;>_l9CkM+^RZi6#oK73^C>a literal 0 HcmV?d00001 diff --git a/2nd/16_Droites_dans_un_repère/2B_pente.tex b/2nd/16_Droites_dans_un_repère/2B_pente.tex new file mode 100644 index 0000000..e05bb41 --- /dev/null +++ b/2nd/16_Droites_dans_un_repère/2B_pente.tex @@ -0,0 +1,40 @@ +\documentclass[a4paper,10pt]{article} +\usepackage{myXsim} + +\author{Benjamin Bertrand} +\title{Droites dans un repère - Cours} +\date{Mars 2022} + +\pagestyle{empty} + +\begin{document} + +\maketitle + +\setcounter{section}{1} +\section{Pente entre deux points} + +\begin{definition}[Pente entre deux points] + \begin{minipage}{0.5\linewidth} + Soit $A(x_A, y_A)$ et $B(x_B, y_B)$ deux points du plan. Alors \textbf{la pente entre $A$ et $B$} se calcule avec la formule suivante + \[ + \frac{y_A - y_B}{x_A - x_B} + \] + \end{minipage} + \hfill + \begin{minipage}{0.4\linewidth} + \begin{tikzpicture}[scale=0.5] + \repereNoGrid{-1}{10}{-1}{10} + \draw (2, 2) node {x} node[below left] {$A$}; + \draw (7, 8) node {x} node[above right] {$B$}; + \end{tikzpicture} + \end{minipage} +\end{definition} + +\paragraph{Remarque}: Cette pente est la même pour tous les points de la droite $(AB)$. + +\paragraph{Exemple:} calculer la pente entre les points $A(4; 2)$ et $B(7; 6)$. +\vspace{2cm} +\afaire{calculer la pente} + +\end{document}