Feat: add examples and new exercises caracteristics
This commit is contained in:
parent
1c6a0d1f2f
commit
fe815b550e
71
tools/examples/chapter/1B_premier_bilan.tex
Normal file
71
tools/examples/chapter/1B_premier_bilan.tex
Normal file
@ -0,0 +1,71 @@
|
||||
\documentclass[a4paper,12pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\title{Étude de la fonction logarithme}
|
||||
\tribe{Terminale TESL}
|
||||
\date{Mai 2020}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
|
||||
\section{Représentation graphique}
|
||||
|
||||
La \textbf{fonction logarithme} notée $\ln$ est définie sur $\R^{+*}=\intOO{0}{+\infty}$ par $\ln :x \mapsto ln(x)$.
|
||||
|
||||
\begin{minipage}{0.5\textwidth}
|
||||
\begin{itemize}
|
||||
\item Elle est continue et dérivable sur $\R^{+*}$
|
||||
\item Elle est négative sur $\intOO{0}{1}$
|
||||
\item Elle est positive sur $\intOO{1}{+\infty}$
|
||||
\item $\ln(1) = 0$ et $\ln(e) = 1$
|
||||
\end{itemize}
|
||||
\begin{tikzpicture}
|
||||
\tkzTabInit[lgt=2,espcl=5]{$x$/1,$f(x)$/2}%
|
||||
{$0$, $+\infty$}%
|
||||
\tkzTabVar{D-/$-\infty$, +/$+\infty$}%
|
||||
\end{tikzpicture}
|
||||
\end{minipage}
|
||||
\hfill
|
||||
\begin{minipage}{0.4\textwidth}
|
||||
\begin{tikzpicture}[yscale=0.8, xscale=1]
|
||||
\tkzInit[xmin=0,xmax=6,xstep=1,
|
||||
ymin=-3,ymax=3,ystep=1]
|
||||
\tkzGrid
|
||||
\tkzAxeXY[up space=0.5,right space=.5]
|
||||
\tkzFct[domain = 0.01:6, line width=1pt]{log(x)}
|
||||
\tkzText[draw,fill = brown!20](5,-2.5){$f(x)=\ln(x)$}
|
||||
\end{tikzpicture}
|
||||
\end{minipage}
|
||||
|
||||
\section{Dérivée de $\ln$}
|
||||
|
||||
\subsection*{Propriété}
|
||||
|
||||
La dérivée de la fonction logarithme est la fonction inverse
|
||||
\[
|
||||
\forall x \in \intOO{0}{+\infty} \qquad \ln'(x) = \frac{1}{x}
|
||||
\]
|
||||
|
||||
On en déduit, pour tout $x > 0$:
|
||||
\begin{itemize}
|
||||
\item $\ln'(x) = \dfrac{1}{x}$ et $\dfrac{1}{x} > 0$ alors la fonction logarithme est \dotfill
|
||||
\item $\ln''(x) = \makebox[2cm]{\dotfill}$ et $\makebox[2cm]{\dotfill}$ alors la fonction logarithme est \dotfill
|
||||
\end{itemize}
|
||||
|
||||
\subsection*{Exemples de calculs}
|
||||
|
||||
Calcul de la dérivée de $f(x) = 2x + 1 - 4\ln(x)$
|
||||
\afaire{}
|
||||
|
||||
Calcul de la dérivée de $f(x) = (2x+1)\ln(x)$
|
||||
\afaire{}
|
||||
|
||||
Calcul de la dérivée de $f(x) = \dfrac{2x+1}{\ln(x)}$
|
||||
\afaire{}
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
\end{document}
|
||||
BIN
tools/examples/chapter/1E_premiers_exercices.pdf
Normal file
BIN
tools/examples/chapter/1E_premiers_exercices.pdf
Normal file
Binary file not shown.
21
tools/examples/chapter/1E_premiers_exercices.tex
Normal file
21
tools/examples/chapter/1E_premiers_exercices.tex
Normal file
@ -0,0 +1,21 @@
|
||||
\documentclass[a4paper,10pt]{article}
|
||||
\usepackage{myXsim}
|
||||
|
||||
\title{Lorem lorem}
|
||||
\tribe{Lorem}
|
||||
\date{Mai 2020}
|
||||
|
||||
\pagestyle{empty}
|
||||
\geometry{left=10mm,right=10mm, top=10mm}
|
||||
|
||||
\DeclareExerciseCollection{banque}
|
||||
\xsimsetup{
|
||||
step=1,
|
||||
}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\input{exercises.tex}
|
||||
\printcollection{banque}
|
||||
|
||||
\end{document}
|
||||
12
tools/examples/chapter/cours.tex
Normal file
12
tools/examples/chapter/cours.tex
Normal file
@ -0,0 +1,12 @@
|
||||
\collectexercises{banque}
|
||||
\begin{exercise}[subtitle={lorem - cours}, step={1}, topics={lorem}]
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{exercise}
|
||||
|
||||
\begin{exercise}[subtitle={lorem lorem - cours}, step={2}, topics={lorem}]
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{exercise}
|
||||
|
||||
\collectexercisesstop{banque}
|
||||
33
tools/examples/chapter/exercises.tex
Normal file
33
tools/examples/chapter/exercises.tex
Normal file
@ -0,0 +1,33 @@
|
||||
\collectexercises{banque}
|
||||
\begin{exercise}[subtitle={lorem}, step={1}, topics={Logarithme}, origin={Inspiré de 23p201}]
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{exercise}
|
||||
|
||||
\begin{solution}
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{solution}
|
||||
|
||||
\begin{exercise}[subtitle={lorem lorem}, step={1}, topics={Logarithme}, origin={Création}]
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{exercise}
|
||||
|
||||
\begin{solution}
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{solution}
|
||||
|
||||
\begin{exercise}[subtitle={lorem lorem lorem}, step={2}, topics={Logarithme}, origin={BAC ES 2017 AN sept EX3}]
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{exercise}
|
||||
|
||||
\begin{solution}
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
Lorem ipsum dolor sit amet, consetetur sadipscing elitr, sed diam nonumy eirmod tempor invidunt ut labore et dolore magna aliquyam erat, sed diam voluptua. At vero eos et accusam et justo duo dolores et ea rebum. Stet clita kasd gubergren, no sea takimata sanctus est Lorem ipsum dolor sit amet.
|
||||
\end{solution}
|
||||
|
||||
\collectexercisesstop{banque}
|
||||
@ -73,6 +73,8 @@
|
||||
\RequirePackage[no-files]{xsim}
|
||||
|
||||
\DeclareExerciseTagging{step}
|
||||
\DeclareExerciseTagging{difficulty}
|
||||
\DeclareExerciseTagging{origin}
|
||||
|
||||
\DeclareExerciseTranslations{total}{
|
||||
French = total ,
|
||||
|
||||
Loading…
Reference in New Issue
Block a user