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reprérée }, mode={\groupMode}] + On appelle \textbf{pente entre deux points} le rapport entre le déplacement vertical et le déplacement horizontal trouvée dans l'exercice precedent. + \begin{enumerate} + \item Soient $A(4; 2)$ et $B(7; 6)$ deux points. Expliquer comment calculer la pente entre $A$ et $B$. + \item Soient $A(x_A; y_A)$ et $B(x_A; x_B)$ deux points. Expliquer comment calculer la pente entre $A$ et $B$. + \end{enumerate} \end{exercise} diff --git a/2nd/16_Droites_dans_un_repère/index.rst b/2nd/16_Droites_dans_un_repère/index.rst index 1aeb67f..b525ed2 100644 --- a/2nd/16_Droites_dans_un_repère/index.rst +++ b/2nd/16_Droites_dans_un_repère/index.rst @@ -2,7 +2,7 @@ Droites dans un repère ###################### :date: 2022-02-07 -:modified: 2022-03-15 +:modified: 2022-03-16 :authors: Benjamin Bertrand :tags: Géométrie repérée :category: 2nd @@ -21,8 +21,8 @@ Idée: - peut marcher en plan de travail -Étape 1: Ensemble de point -========================== +Étape 1: Ensemble de points +=========================== - relation entre équation et ensemble de points - calculs sur l'appartenance d'un point à une droite diff --git a/2nd/16_Droites_dans_un_repère/plan_de_travail.pdf b/2nd/16_Droites_dans_un_repère/plan_de_travail.pdf index 9649b67883f092fe8ab133afda351f9405cebd99..a8f363837cb4fc78a96255ad189bc30dc47f18fb 100644 GIT binary patch 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\usepackage{myXsim} +\usepackage{pgfplots} \author{Benjamin Bertrand} \title{Équation de droite - Plan de travail} @@ -16,16 +17,17 @@ \begin{document} \maketitle -Dans cette séquence, nous traiterons de géométrie repérée. Cette géométrie a pour particularité d'utiliser les coordonnées des points et le calcul pour résoudre des problèmes de géométrie. \bigskip Savoir-faire de la séquence \begin{itemize} - \item Manipuler les coordonnées de points sur un plan. - \item Calculer les coordonnées du milieu d'un segment. - \item Calculer la longueur d'un segment. - \item Représenter les droites comme un ensemble de points. + \item Équation de droite: équation cartésienne, équation réduite. + \item Déterminer une équation de droite à partir de deux points ou un point et la pente. + \item Déterminer la pente d’une droite donnée par une équation ou une représentation graphique. + \item Tracer une droite connaissant son équation cartésienne ou réduite. + \item Déterminer si deux droites sont parallèles ou sécantes. + \item Résoudre un système de deux équations linéaires à deux inconnues, déterminer le point d’intersection de deux droites sécantes. \end{itemize} \bigskip @@ -35,33 +37,33 @@ Ordre des étapes à respecter \begin{center} \Ovalbox{ \begin{tikzpicture} - \node (E3) {3}; - \node (E1) [above left of=E3] {1}; - \node (E2) [above right of=E3] {2}; - \node (E4) [right of=E2] {4}; + \node (E1) {1}; + \node (E2) [below left of=E1] {2}; + \node (E3) [below right of=E1] {3}; + \node (E4) [right of=E1] {4}; + \path[->] (E1) edge (E2); \path[->] (E1) edge (E3); - \path[->] (E2) edge (E3); \end{tikzpicture} } \end{center} -\section{Coordonnées du milieu} - -\listsectionexercises - -\section{Distance entre deux points} - -\listsectionexercises - -\section{Problèmes de géométrie repérée} - -\listsectionexercises - \section{Ensemble de points} \listsectionexercises +\section{Déterminer équation d'une droite} + +\listsectionexercises + +\section{Tracer une droite} + +\listsectionexercises + +\section{Intersection de droites} + +\listsectionexercises + \bigskip