From ad364dfbc1924eadc23e55f8e0389f69beeebfc3 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Thu, 1 Oct 2020 14:15:01 +0200 Subject: [PATCH] =?UTF-8?q?Feat:=20=C3=A9tape=201=20sur=20les=20complexes?= =?UTF-8?q?=20pour=20les=20tsti2d?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- TST_sti2d/03_Complexes/1B.tex | 14 --- .../03_Complexes/1B_forme_algebrique.pdf | Bin 0 -> 66250 bytes .../03_Complexes/1B_forme_algebrique.tex | 83 ++++++++++++++++++ .../03_Complexes/1E_forme_algebrique.pdf | Bin 0 -> 67416 bytes .../{1E.tex => 1E_forme_algebrique.tex} | 12 ++- TST_sti2d/03_Complexes/exercises.tex | 32 +++++-- TST_sti2d/03_Complexes/index.rst | 10 ++- 7 files changed, 128 insertions(+), 23 deletions(-) delete mode 100644 TST_sti2d/03_Complexes/1B.tex create mode 100644 TST_sti2d/03_Complexes/1B_forme_algebrique.pdf create mode 100644 TST_sti2d/03_Complexes/1B_forme_algebrique.tex create mode 100644 TST_sti2d/03_Complexes/1E_forme_algebrique.pdf rename TST_sti2d/03_Complexes/{1E.tex => 1E_forme_algebrique.tex} (62%) diff --git a/TST_sti2d/03_Complexes/1B.tex b/TST_sti2d/03_Complexes/1B.tex deleted file mode 100644 index b728ac0..0000000 --- a/TST_sti2d/03_Complexes/1B.tex +++ /dev/null @@ -1,14 +0,0 @@ -\documentclass[a4paper,10pt]{article} -\usepackage{myXsim} - -\author{Benjamin Bertrand} -\title{Complexes - Cours} -\date{septembre 2020} - -\pagestyle{empty} - -\begin{document} - -\maketitle - -\end{document} \ No newline at end of file diff --git a/TST_sti2d/03_Complexes/1B_forme_algebrique.pdf b/TST_sti2d/03_Complexes/1B_forme_algebrique.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ba099e23fda911bd17e47c3abc9d37bf7d23ae28 GIT binary patch literal 66250 zcmce+bBu4z)-Bw&ZQHhO+qV1Hwr#t2+qT`it=+bJw{6_#y!U;Ro7^w??my?OWUUlt zRcd6+HB&W5kt>Nw&@(fz!;sJa8C`>6BVrxZ}wFyN1k;6iIU3H>81tCgU7PTtX`- 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\begin{enumerate} + \item Construire une repère pour placer les points $A$, $B$ et $C$. + \item Calculer les modules des trois nombres complexes. Interpréter. + \item Faire les calculs suivants et placer les points sur le repère. + \begin{multicols}{3} + \begin{enumerate} + \item $z_D = z_A + z_B$ + \item $z_E = \bar{z_B}$ + \item $z_F = z_A + \bar{z_C}$ + + \item $z_G = z_B z_C$ + \item $z_H = \bar{z_A} z_C$ + \item $z_I = \bar{z_A} z_A$ + + \item $z_J = \frac{z_A}{z_B}$ + \item $z_K = \frac{z_C}{z_B}$ + \item $z_L = \frac{1}{z_B} + \frac{1}{z_C}$ + \end{enumerate} + \end{multicols} + \end{enumerate} \end{exercise} -\begin{solution} - <++> -\end{solution} -\collectexercisesstop{banque} \ No newline at end of file +\collectexercisesstop{banque} diff --git a/TST_sti2d/03_Complexes/index.rst b/TST_sti2d/03_Complexes/index.rst index 3ac435b..5bde846 100644 --- a/TST_sti2d/03_Complexes/index.rst +++ b/TST_sti2d/03_Complexes/index.rst @@ -2,7 +2,7 @@ Complexes ######### :date: 2020-09-29 -:modified: 2020-09-29 +:modified: 2020-10-01 :authors: Benjamin Bertrand :tags: Complexes, Trigonométrie :category: TST_sti2d @@ -13,8 +13,16 @@ Complexes Cours: Définition complexe, conjugué et module. La notation physique des complexes. +.. image:: ./1B_forme_algebrique.pdf + :height: 200px + :alt: Rappels du cours sur la forme algébrique. + À partir de 3 nombres complexes, on demande de calculer la somme, le produit, le carré, le quotient et le module en faisant intervenir le conjugué. Les élèves placeront à chaque fois le résultat sur le plan complexe. +.. image:: ./1E_forme_algebrique.pdf + :height: 200px + :alt: Calculs techniques avec les formes algébriques des complexes. + On pourra ajouter une exercice en lien avec la physique. Étape 2: Notation trigonométrique