From a70352bfd32ceca780ffd1498ed9fa40750ebc93 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Sat, 30 Apr 2022 10:22:15 +0200 Subject: [PATCH] =?UTF-8?q?feat:=20exercices=20sur=20les=20coordonn=C3=A9e?= =?UTF-8?q?s=20de=20vecteurs?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../1E_coordonnees.pdf | Bin 0 -> 25716 bytes .../1E_coordonnees.tex | 17 ++++ 2nd/18_Vecteur_et_coordonnées/exercises.tex | 79 ++++++++++++++++++ 2nd/18_Vecteur_et_coordonnées/index.rst | 7 ++ 4 files changed, 103 insertions(+) create mode 100644 2nd/18_Vecteur_et_coordonnées/1E_coordonnees.pdf create mode 100644 2nd/18_Vecteur_et_coordonnées/1E_coordonnees.tex create mode 100644 2nd/18_Vecteur_et_coordonnées/exercises.tex diff --git a/2nd/18_Vecteur_et_coordonnées/1E_coordonnees.pdf b/2nd/18_Vecteur_et_coordonnées/1E_coordonnees.pdf new file mode 100644 index 0000000000000000000000000000000000000000..d98e7ef35056139d660e0994aacf073337b69c98 GIT binary 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(2, 4) -- node [midway, above] {$\vect{v}$} ++(2, -1); + \draw [->, very thick] (0, 0) -- node [midway, above] {$\vect{w}$} ++(-3, -2); + \end{tikzpicture} + \end{minipage} +\end{exercise} + +\begin{exercise}[subtitle={Calculs de coordonnées}, step={1}, origin={Création}, topics={ Vecteur et coordonnées }, tags={ vecteurs }] + On définit les points suivants + \[ + A(2; 4) \qquad + B(5; 1) \qquad + C(-6; -3) \qquad + D(1; -6) \qquad + E(0; -2) \qquad + F(\frac{1}{2}; -2) \qquad + G(\frac{1}{4}; \frac{2}{3}) \qquad + \] + Calculer les coordonnées des vecteurs suivants + \begin{multicols}{4} + \begin{enumerate} + \item $\vect{AB}$ + \item $\vect{AC}$ + \item $\vect{BC}$ + + \item $\vect{DC}$ + \item $\vect{DE}$ + \item $\vect{ED}$ + + \item $\vect{AE}$ + \item $\vect{BE}$ + \item $\vect{EC}$ + + \item $\vect{EF}$ + \item $\vect{FA}$ + \item $\vect{FG}$ + \end{enumerate} + \end{multicols} +\end{exercise} + + +\begin{exercise}[subtitle={Coordonnée de points et transformations}, step={1}, origin={Création}, topics={ Vecteur et coordonnées }, tags={ vecteurs }] + Calculer les coordonnées des points suivants + \begin{enumerate} + \item $B$ image du point $A(2; 3)$ par la translation de vecteur $\vect{u}\vectCoord{2}{4}$. + \item $D$ image du point $C(-2; 5)$ par la translation de vecteur $\vect{v}\vectCoord{4}{-2}$. + \item $F$ image du point $E(0; 3)$ par la translation de vecteur $\vect{v}\vectCoord{-3}{-2}$. + \end{enumerate} +\end{exercise} diff --git a/2nd/18_Vecteur_et_coordonnées/index.rst b/2nd/18_Vecteur_et_coordonnées/index.rst index a9b2860..319dd72 100644 --- a/2nd/18_Vecteur_et_coordonnées/index.rst +++ b/2nd/18_Vecteur_et_coordonnées/index.rst @@ -39,6 +39,13 @@ Cours à lire en deux fois :height: 200px :alt: cours sur les coordonnées des vecteurs +Exercices + +.. image:: ./1E_coordonnees.pdf + :height: 200px + :alt: Exercices sur les coordonnées de vecteurs + + Étape 2: Opérations avec des vecteurs =====================================