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-
-\section{Quelques exemples}
-
-\subsection{Variante intermédiaire : \TIKZ\ + \tkzname{tkz-fct}}
-Les codes de \TIKZ\ et de \tkzname{tkz-fct} peuvent se compléter. Ainsi les axes et les textes sont gérés par \tkzname{tkz-fct} mais la courbe est laissée à \TIKZ\ et \tkzname{gnuplot}.
-
-\bigskip
-
-\begin{center}
- \begin{tkzexample}[]
- \begin{tikzpicture}[scale=3]
- \tkzInit[xmin=0,xmax=4,ymin=-1.5,ymax=1.5]
- \tkzAxeY[label=$f(x)$]
- \tkzDefPoint(1,0){x} \tkzDrawPoint[color=blue,size=0.6pt](x)
- \shade[top color=gray!80,bottom color=gray!20] (1,0)%
- plot[id=ln,domain=1:2.718] function{log(x)} |-(1,0);
- \draw[color=blue] plot[id=ln,domain=0.2:4,samples=200]function{log(x)};
- \tkzAxeX
- \tkzText[draw,color= black,fill=brown!50](2,-1)%
- {$\mathcal{A} = \int_1^{\text{e}}\ln(x)\text{d}x =%
- \big[x\ln(x)\big]_{1}^{\text{e}} = \text{e}$}
- \tkzText[draw,color= black,fill=brown!50](2,0.3){$\mathcal{A}$}
- \end{tikzpicture}
- \end{tkzexample}
-\end{center}
-
- \newpage
- \subsection{Courbes de \tkzname{Lorentz}}
-
- $f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$ et $g(x)=x^3$
-
-
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[scale=1]
- \tkzInit[xmax=1,ymax=1,xstep=0.1,ystep=0.1]
- \tkzGrid(0,0)(1,1)
- \tkzAxeXY
- \tkzFct[color = red,domain = 0:1]{(exp(\x)-1)/(exp(1)-1)}
- \tkzDrawTangentLine[kl=0,kr=0.4,color=red](0)
- \tkzDrawTangentLine[kl=0.2,kr=0,color=red](1)
- \tkzText[draw,color = red,fill = brown!30](0.4,0.6)%
- {$f(x)=\dfrac{\text{e}^x-1}{\text{e}-1}$}
- \tkzFct[color = blue,domain = 0:1]{\x*\x*\x}
- \tkzDrawTangentLine[kl=0,kr=0.4,color=blue](0)
- \tkzDrawTangentLine[kl=0.2,kr=0,color=blue](1)
- \tkzText[draw,color = blue,fill = brown!30](0.8,0.1){$g(x)=x^3$}
- \tkzFct[color = orange,style = dashed,domain = 0:1]{\x}
- \tkzDrawAreafg[between=c and b,color=blue!40,domain = 0:1]
- \tkzDrawAreafg[between=c and a,color=red!60,domain = 0:1]
-\end{tikzpicture}
-\end{tkzexample}
-\end{center}
-
-
- \newpage
- \subsection{Courbe exponentielle}
- $f(x) = (-x^2+x+2)\exp(x)$
-
-\begin{center}
-\begin{tkzexample}[small]
-\begin{tikzpicture}[scale=1.25]
- \tkzInit[xmin=-6,xmax=4,ymin=-5,ymax=6]
- \tkzGrid
- \tkzAxeXY
- \tkzFct[color=red,thick,domain=-6:2.1785]{(-x*x+x+2)*exp(x)}
- \tkzSetUpPoint[size=6]
- \tkzDrawTangentLine[draw,kl=2](0)
- \tkzDefPoint(2,0){b} \tkzDrawPoint(b)
- \tkzDefPoint(-1,0){c} \tkzDrawPoint(c)
- \tkzText(2,4){($\mathcal{C}$)}
- \tkzText(-2,-3){($\mathcal{T}$)}
-\end{tikzpicture}
-\end{tkzexample}
-\end{center}
-
-
- \subsection{Axe logarithmique}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[scale=0.8]
- \tkzInit[xmax=14,ymax=12]
- \draw[thin,->] (0,0) -- (14,0) node[below left] {};
- \draw[thin,->] (0,0) -- (0,12) node[below left] {};
- \foreach \x/\xtext in {0/0,2/10,4/20,6/30,8/40,10/50,12/60,14/70}%
- {\draw[shift={(\x,0)}] node[below] {$\xtext$ };}
- \foreach \y/\z in {0/0,3/1,6/2,9/3,12/4}%
- {\draw[shift={(0,\y)}] node[left] {$10^{\z}$};}
- \foreach \x in {1,2,...,14}{\tkzVLine[gray,thin]{\x}}
- \foreach \y in {3,6,...,12}{\tkzHLine[gray,thin]{\y}}
- \foreach \y in {0,3,...,9}{
- \foreach \z in {0.903,1.431,1.806,2.097,2.334,2.535,2.709,2.863}%
- {\tkzHLine[thin,gray,shift={(0,\y)}] {\z}}}
- \tkzDefPoint(0,6.90){a}
- \tkzDefPoint(10,9.30){b}
- \tkzDrawPoints(a,b)
- \tkzLabelPoint(a){$M_{1}$}
- \tkzLabelPoint(b){$M_{11}$}
-\end{tikzpicture}
-\end{tkzexample}
-
- \subsection{Un peu de tout}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}[scale=.8]
- \tkzInit[xmin=5,xmax=40,ymin=0,ymax=350,xstep=2.5,ystep=25]
- \tkzDrawX[label=$q$]
- \tkzLabelX
- \tkzDrawY[label=$C(q)$]
- \tkzLabelY
- \tkzGrid
- \tkzFct[domain=5:40]{0.1*\x**2+2*\x+60}
- \foreach \vv in {5,10,...,40}{%
- \tkzDefPointByFct(\vv)
- \tkzDrawPoint(tkzPointResult)}
- \tkzFct[domain=5:40]{(108*log(\x)-158)}
- \tkzText(37.5,280){$C$}
- \tkzText(37.5,220){$R$}
- \tkzDefSetOfPoints{%
- 5/15,10/90,15/135,20/170,25/190,30/200,35/230,40/240}
-\tkzDrawSetOfPoints[mark = x,mark size=3pt]
-\end{tikzpicture}
-\end{tkzexample}
-\endinput \ No newline at end of file