Feat: début des transformations complexes
All checks were successful
continuous-integration/drone/push Build is passing
All checks were successful
continuous-integration/drone/push Build is passing
This commit is contained in:
parent
f4d91e29a4
commit
d0278214fb
8
Makefile
8
Makefile
@ -23,10 +23,10 @@ clean:
|
||||
|
||||
rsync_cleUSB: clean
|
||||
#rsync --progress --modify-window=1 --update --recursive --times --del ./ $(GIT_EXCLUDE) /run/media/lafrite/K1
|
||||
rsync -av --del --exclude "venv" ./ $(COMMON_EXCLUDE) /run/media/lafrite/$(CLEUSB)/Enseignements
|
||||
rsync -av $(COMMON_EXCLUDE) ../Divers/ /run/media/lafrite/$(CLEUSB)/Divers
|
||||
rsync -av $(COMMON_EXCLUDE) ../Notes/ /run/media/lafrite/$(CLEUSB)/Notes
|
||||
rsync -av $(COMMON_EXCLUDE) ../Productions\ Eleves/ /run/media/lafrite/$(CLEUSB)/Productions
|
||||
rsync -av -u --del --exclude "venv" ./ $(COMMON_EXCLUDE) /run/media/lafrite/$(CLEUSB)/Enseignements
|
||||
rsync -av -u $(COMMON_EXCLUDE) ../Divers/ /run/media/lafrite/$(CLEUSB)/Divers
|
||||
rsync -av -u $(COMMON_EXCLUDE) ../Notes/ /run/media/lafrite/$(CLEUSB)/Notes
|
||||
rsync -av -u $(COMMON_EXCLUDE) ../Productions\ Eleves/ /run/media/lafrite/$(CLEUSB)/Productions
|
||||
|
||||
# rsync -av /run/media/lafrite/$(CLEUSB)/Productions/$(YEAR) ../../Production\ eleves/
|
||||
|
||||
|
Binary file not shown.
@ -13,8 +13,8 @@
|
||||
\setcounter{section}{1}
|
||||
\section{Module et argument d'un nombre complexe}
|
||||
|
||||
\subsection*{Définition}
|
||||
|
||||
\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Définition}
|
||||
\begin{minipage}{0.6\textwidth}
|
||||
Un nombre complexe peut être décrit de façon \textbf{trigonométrique}, pour cela il est décrit par deux grandeurs
|
||||
\begin{itemize}
|
||||
@ -36,6 +36,7 @@ On écrira alors
|
||||
\draw [dashed] (0,3) node [left] {$b$} -- (3,3);
|
||||
\end{tikzpicture}
|
||||
\end{minipage}
|
||||
\end{bclogo}
|
||||
|
||||
\subsection*{Trigonométrique vers algébrique}
|
||||
|
||||
|
BIN
TST_sti2d/03_Complexes/3B_transformations.pdf
Normal file
BIN
TST_sti2d/03_Complexes/3B_transformations.pdf
Normal file
Binary file not shown.
46
TST_sti2d/03_Complexes/3B_transformations.tex
Normal file
46
TST_sti2d/03_Complexes/3B_transformations.tex
Normal file
@ -0,0 +1,46 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\title{Complexes, module et argument}
|
||||
\tribe{Terminale ST Sti2d}
|
||||
\date{Novembre 2020}
|
||||
|
||||
\pagestyle{empty}
|
||||
\geometry{left=10mm,right=10mm, top=10mm}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\setcounter{section}{2}
|
||||
\section{Transformations géométriques}
|
||||
|
||||
\begin{bclogo}[barre=none, arrondi=0.1, logo=]{Définition}
|
||||
Des transformations géométriques peuvent être décrites avec des fonctions manipulant des nombres complexes.
|
||||
\begin{itemize}
|
||||
\item La \textbf{translation de vecteur $\vec{u} = \vectCoord{a}{b}$} est décrite par la fonction
|
||||
\[
|
||||
f : z \mapsto z + u
|
||||
\]
|
||||
où $u$ est le nombre complexe $u = a + ib$ l'affixe de $\vec{u}$.
|
||||
|
||||
\begin{tikzpicture}[yscale=.8, xscale=.8]
|
||||
\repereNoGrid{-1}{4}{-1}{4}
|
||||
\draw[|->] (1,-1) node [above left] {$M$} -- (3,3) node [above right] {$M'$};
|
||||
\draw[|->] (1,1) node [above left] {$N$} -- (3,5) node [above right] {$N'$};
|
||||
\draw[|->] (-1,1) node [above left] {$L$} -- (1,5) node [above right] {$L'$};
|
||||
\end{tikzpicture}
|
||||
|
||||
\item \textbf{L'homothétie de rapport} $k \in \R$ est décrite par la fonction
|
||||
\[
|
||||
f : z \mapsto k \times z
|
||||
\]
|
||||
\begin{tikzpicture}[yscale=.8, xscale=.8]
|
||||
\repereNoGrid{-1}{4}{-1}{4}
|
||||
\draw[|->] (30:1) node [above left] {$M$} -- (30:2) node [above right] {$M'$};
|
||||
\draw[|->] (60:2) node [above left] {$N$} -- (60:4) node [above right] {$N'$};
|
||||
\draw[|->] (-30:0.5) node [below left] {$L$} -- (-30:1) node [below right] {$L'$};
|
||||
\draw[|->] (120:1) node [above left] {$P$} -- (120:2) node [above left] {$P'$};
|
||||
\end{tikzpicture}
|
||||
\end{itemize}
|
||||
\end{bclogo}
|
||||
|
||||
\end{document}
|
23
TST_sti2d/03_Complexes/3E_transformations.tex
Normal file
23
TST_sti2d/03_Complexes/3E_transformations.tex
Normal file
@ -0,0 +1,23 @@
|
||||
\documentclass[a4paper,10pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\author{Benjamin Bertrand}
|
||||
\title{Complexes - Cours}
|
||||
\date{Octobre 2020}
|
||||
|
||||
\DeclareExerciseCollection{banque}
|
||||
\xsimsetup{
|
||||
step=2,
|
||||
}
|
||||
|
||||
\setlength{\columnseprule}{0pt}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\input{exercises.tex}
|
||||
\vfill
|
||||
\printcollection{banque}
|
||||
\vfill
|
||||
\printcollection{banque}
|
||||
\vfill
|
||||
\end{document}
|
Loading…
Reference in New Issue
Block a user