Tikz pour l'impatient

La plupard des exercices sont résolus

%matplotlib inline
%display latex

%load_ext tikzmagic

The tikzmagic extension is already loaded. To reload it, use:
  %reload_ext tikzmagic

%tikz \draw (0,0) rectangle (1,1);

%%tikz --scale 2 --size 300,300 -f jpg
\draw (0,0) rectangle (1,1);
\filldraw (0.5,0.5) circle (.1);

%%tikz --scale 2 --size 300,300 -f svg
\draw (0,0) rectangle (1,1);
\filldraw (0.5,0.5) circle (.1);

%%tikz -s 400,400 -sc 1.2 -f png
\draw [style=help lines, step=2]				(-1,-1)	grid		(+7,+7);
\draw [line width=0.5mm, fill=blue!40!white]	(+2,+2)	rectangle	(+4,+4);
 
\draw [blue!60!white] (  2,  2) node[anchor=north east] {$(i  ,j  )$};
\draw [blue!60!white] (  4,  2) node[anchor=north west] {$(i+1,j  )$};
\draw [blue!60!white] (  4,  4) node[anchor=south west] {$(i+1,j+1)$};
\draw [blue!60!white] (  2,  4) node[anchor=south east] {$(i  ,j+1)$};

\filldraw [color=gray]	(0,0) circle (.1);
\filldraw [color=gray]	(0,2) circle (.1);
\filldraw [color=gray]	(0,4) circle (.1);
\filldraw [color=gray]	(0,6) circle (.1);
\filldraw [color=gray]	(2,0) circle (.1);
\filldraw [color=black]	(2,2) circle (.1);
\filldraw [color=black]	(2,4) circle (.1);
\filldraw [color=gray]	(2,6) circle (.1);
\filldraw [color=gray]	(4,0) circle (.1);
\filldraw [color=black]	(4,2) circle (.1);
\filldraw [color=black]	(4,4) circle (.1);
\filldraw [color=gray]	(4,6) circle (.1);
\filldraw [color=gray]	(6,0) circle (.1);
\filldraw [color=gray]	(6,2) circle (.1);
\filldraw [color=gray]	(6,4) circle (.1);
\filldraw [color=gray]	(6,6) circle (.1);

%%tikz -l arrows,matrix -f svg
\matrix (m) [matrix of math nodes, row sep=3em, column sep=4em] {
A & B \\
C & D \\
};
\path[-stealth, line width=.4mm]
(m-1-1) edge node [left ] {$ac$} (m-2-1)
(m-1-1) edge node [above] {$ab$} (m-1-2)
(m-1-2) edge node [right] {$bd$} (m-2-2)
(m-2-1) edge node [below] {$cd$} (m-2-2);

%%tikz -s 200,200 -sc 1.2 -f png
\draw[red] (0,0) -- (1,2) -- (3,3) -- (2,0);
\draw[help lines] (0,0) grid (3,3);

%%tikz -s 200,200 -sc 1 -f png
\draw [<->] (0,1) -- (0,0) -- (1,0);
\draw[blue,thick, domain=-2:2] plot (\x, {\x*\x});

%%tikz -s 200,200 -sc 1 -f png
\draw (0,0) -- (1,0) ;
\draw (0,0) -- (0,1) ;
\draw (0,0) circle (1) ;
\draw (0,0) node[below]{$O$} ;
\draw (1,0) node[right]{$A$} ;
\draw (0,1) node[above]{$B$} ;

%%tikz -s 200,200 -sc 1 -f png
\draw (0,0) node[below] {$O$};
\draw (2,0) node[right] {$A$};
\draw (2,2) node[right] {$B$};
\draw (0,0) -- (2,0) ;
\draw (0,0) -- (2,2);
\draw (1,0) arc (0:45:1)  ;
\draw (22:1.3) node {$\frac{\pi}{4}$};

%%tikz -s 200,200 -sc 1 -f png
\draw (0,0) -- (5,0);       % AB = 5
\draw (0,0) -- (1.8,2.4);   % AC = 3
\draw (5,0) -- (1.8,2.4);   % BC = 4
\draw (0,0) node [below] {$A$};
\draw (5,0) node [below] {$B$};
\draw (2,3) node [below] {$C$};

%%tikz -s 200,200 -sc 1 -f png
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (-1.5,0) -- (1.5,0) -- (0,-1.5) -- (0,1.5);

%%tikz -s 100,100 -sc 1 -f png
\filldraw [yellow] (0,0) circle (2pt)
(1,1) circle (2pt)
(2,1) circle (2pt)
(2,0) circle (2pt);
\draw (0,0) .. controls (1,1) and (2,1) .. (2,0);

%%tikz -s 200,200 -sc 1 -f png
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (-1,0) .. controls (-1,0.555) 
and (-0.555,1) .. (0,1) .. controls (0.555,1)
and (1,0.555) .. (1,0);

%%tikz -s 200,200 -sc 1 -f png
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);

%%tikz -s 200,200 -sc 1 -f png
\tikzstyle help lines=[color=blue!50,very thin]
\draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);

%%tikz -s 200,200 -sc 1 -f png
\draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);
\draw (3mm,0mm) arc (0:30:3mm);

%%tikz -s 200,200 -sc 1 -f png
\clip (-0.1,-0.2) rectangle (1.1,0.75);
\draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);
\filldraw[fill=green!20!white, draw=green!50!black]
(0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;

%%tikz -s 200,200 -sc 1 -f png
[rounded corners,ultra thick]
\shade[top color=yellow,bottom color=black] (0,0) rectangle +(2,1);
\shade[left color=yellow,right color=black] (3,0) rectangle +(2,1);
\shadedraw[inner color=yellow,outer color=black,draw=yellow] (6,0) rectangle +(2,1);
\shade[ball color=green] (9,.5) circle (.5cm);

%%tikz -s 200,200 -sc 1 -f png
\clip (-0.1,-0.2) rectangle (1.1,0.75);
\draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
\draw (-1.5,0) -- (1.5,0);
\draw (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);
\filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
(0:30:3mm) -- cycle;
\draw[red,very thin]  (30:1cm) -- +(0,-0.5);
\draw[blue,very thin] (30:1cm) ++(0,-0.5) -- (0,0);

%%tikz -s 200,200 -sc 1 -f png
\clip (-0.1,-0.2) rectangle (1.1,1.51);
\draw[step=.5cm,gray,very thin] (-1.4,-1.4) grid (1.4,1.4);
\draw[->] (-1.5,0) -- (1.5,0);
\draw[->] (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);
\filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
(0:30:3mm) -- cycle;
\draw[red, thin]    (30:1cm) -- +(0,-0.5);
\draw[blue,thin]   (30:1cm) ++(0,-0.5) -- (0,0);
\draw[orange, thin] (1,0) -- (intersection of 1,0--1,1 and 0,0--30:1cm);

%%tikz -s 400,400 -sc 1 -f png
\foreach \x in {1,2,...,5,7,8,...,12}
\foreach \y in {1,...,5}
{
\draw (\x,\y) +(-.5,-.5) rectangle ++(.5,.5);
\draw (\x,\y) node{\x,\y};
}

%%tikz -s 200,200 -sc 1 -f png
\clip (-0.6,-0.2) rectangle (0.6,1.51);
\draw[step=.5cm,style=help lines] (-1.4,-1.4) grid (1.4,1.4);
\filldraw[fill=green!20,draw=green!50!black]
(0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
\draw[->] (-1.5,0) -- (1.5,0);   \draw[->] (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);
\foreach \x in {-1,-0.5,1}
\draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north] {$\x$};
\foreach \y in {-1,-0.5,0.5,1}
\draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east] {$\y$};

%%tikz -s 200,200 -sc 1 -f png
\clip (-0.6,-0.2) rectangle (0.6,1.51);
\draw[step=.5cm,style=help lines] (-1.4,-1.4) grid (1.4,1.4);
\filldraw[fill=green!20,draw=green!50!black]
(0,0) -- (3mm,0mm) arc (0:30:3mm) -- cycle;
\draw[->] (-1.5,0) -- (1.5,0); \draw[->] (0,-1.5) -- (0,1.5);
\draw (0,0) circle (1cm);
\foreach \x/\xtext in {-1, -0.5/-\frac{1}{2}, 1}
\draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north] {$\xtext$};
\foreach \y/\ytext in {-1, -0.5/-\frac{1}{2}, 0.5/\frac{1}{2}, 1}
\draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east] {$\ytext$};

%%tikz -s 500,500 -sc 3 -f png
\clip (-2,-0.2) rectangle (2,0.8);
\draw[step=.5cm,gray,thin] (-1.4,-1.4) grid (1,);
\filldraw[fill=green!20,draw=green!50!black] (0,0) -- (3mm,0mm) arc
(0:30:3mm) -- cycle;
\draw[->] (-1.5,0) -- (1.5,0) coordinate (x axis);
\draw[->] (0,-1.5) -- (0,1.5) coordinate (y axis);
\draw (0,0) circle (1cm);
\draw[thin,red]
(30:1cm) -- node[left=1pt,fill=white] {$\sin \alpha$} (30:1cm |- x axis);
\draw[thin,blue]
(30:1cm |- x axis) -- node[below=2pt,fill=white] {$\cos \alpha$} (0,0);
\draw[thin,orange] (1,0) -- node [right=1pt,fill=white]
{$\displaystyle \tan \alpha \color{black}=
\frac{{\color{red}\sin \alpha}}{\color{blue}\cos \alpha}$}
(intersection of 0,0--30:1cm and 1,0--1,1) coordinate (t);
\draw (0,0) -- (t);
\foreach \x/\xtext in {-1, -0.5/-\frac{1}{2}, 1}
\draw (\x cm,1pt) -- (\x cm,-1pt) node[anchor=north,fill=white] {$\xtext$};
\foreach \y/\ytext in {-1, -0.5/-\frac{1}{2}, 0.5/\frac{1}{2}, 1}
\draw (1pt,\y cm) -- (-1pt,\y cm) node[anchor=east,fill=white] {$\ytext$};

%%tikz -s 500,500 -sc 3 -f png
\def\costhirty{0.8660256}
% Colors
\colorlet{anglecolor}{green!50!black}
\colorlet{sincolor}{red}
\colorlet{tancolor}{orange!80!black}
\colorlet{coscolor}{blue}
% Styles
\tikzstyle{axes}=[]
\tikzstyle{important line}=[very thick]
\tikzstyle{information text}=[rounded corners,fill=red!10,inner sep=1ex]
% The graphic
\draw[style=help lines,step=0.5cm] (-1.4,-1.4) grid (1.4,1.4);
\draw (0,0) circle (1cm);
\begin{scope}[style=axes]
\draw[->] (-1.5,0) -- (1.5,0) node[right] {$x$} coordinate(x axis);
\draw[->] (0,-1.5) -- (0,1.5) node[above] {$y$} coordinate(y axis);
\foreach \x/\xtext in {-1, -.5/-\frac{1}{2}, 1}
\draw[xshift=\x cm] (0pt,1pt) -- (0pt,-1pt) node[below,fill=white] {$\xtext$};
\foreach \y/\ytext in {-1, -.5/-\frac{1}{2}, .5/\frac{1}{2}, 1}
\draw[yshift=\y cm] (1pt,0pt) -- (-1pt,0pt) node[left,fill=white] {$\ytext$};
\end{scope}
\filldraw[fill=green!20,draw=anglecolor] (0,0) -- (3mm,0pt) arc(0:30:3mm);
\draw (15:2mm) node[anglecolor] {$\alpha$};
\draw[style=important line,sincolor]
(30:1cm) -- node[left=1pt,fill=white] {$\sin \alpha$} (30:1cm |- x axis);
\draw[style=important line,coscolor]
(30:1cm |- x axis) -- node[below=2pt,fill=white] {$\cos \alpha$} (0,0);
\draw[style=important line,tancolor] (1,0) -- node[right=1pt,fill=white] {
$\displaystyle \tan \alpha \color{black}=
\frac{{\color{sincolor}\sin \alpha}}{\color{coscolor}\cos \alpha}$}
(intersection of 0,0--30:1cm and 1,0--1,1) coordinate (t);
\draw (0,0) -- (t);
\draw[xshift=1.85cm]
node[right,text width=6cm,style=information text]
{
L {\color{anglecolor} angle $\alpha$} est $30^\circ$ dans l
exemple ($\pi/6$ en radians). Le {\color{sincolor}sinus de
$\alpha$}, qui est la hauteur de la ligne rouge, est
\[
{\color{sincolor} \sin \alpha} = 1/2.
\]
Selon le th\'eor\'eme de pythagore...
};

%%tikz -s 500,500 -sc 1 -f png
\draw[fill=yellow] (0,0) -- (60:.75cm) arc (60:180:.75cm);
\draw(120:0.4cm) node {$\alpha$};
\draw[fill=green!30] (0,0) -- (right:.75cm) arc (0:60:.75cm);
\draw(30:0.5cm) node {$\beta$};
\begin{scope}[shift={(60:2cm)}]
\draw[fill=green!30] (0,0) -- (180:.75cm) arc (180:240:.75cm);
\draw (30:-0.5cm) node {$\gamma$};
\draw[fill=yellow] (0,0) -- (240:.75cm) arc (240:360:.75cm);
\draw (-60:0.4cm) node {$\delta$};
\end{scope}
\begin{scope}[thick]
\draw  (60:-1cm) node[fill=white] {$E$} -- (60:3cm) node[fill=white] {$F$};
\draw[red]                   (-2,0) node[left] {$A$} -- (3,0) node[right]{$B$};
\draw[blue,shift={(60:2cm)}] (-3,0) node[left] {$C$} -- (2,0) node[right]{$D$};
\draw[shift={(60:1cm)},xshift=4cm]
node [right,text width=6cm,rounded corners,fill=red!20,inner sep=1ex]
{
Quand nous faisons l'hypothese que $\color{red}AB$ et $\color{blue}CD$ sont
parall\'eles, c.-\'a-d. ${\color{red}AB} \mathbin{\|} \color{blue}CD$,
alors $\alpha = \delta$ et $\beta = \gamma$.
};
\end{scope}

%%tikz -s 200,200 -sc 1 -f png
\node {racine}
child {node {gauche}}
child {node {droite}
child {node {enfant}}
child {node {enfant}}
};

%%tikz -s 200,200 -sc 1 -f png
[parent anchor=east,child anchor=west,grow=east]
\tikzstyle{every node}=[ball color=red,circle,text=white]
\tikzstyle{edge from parent}=[draw,dashed,thick,red]
\node {racine}
child {node {gauche}}
child {node {droite}
child {node {enfant}}
child {node {enfant}}
};

%%tikz -s 200,200 -sc 1 -f png
\tikzstyle{help lines}+=[dashed]
\draw                   (0,0) grid +(2,2);
\draw[style=help lines] (2,0) grid +(2,2);

%%tikz -s 200,200 -sc 1 -f png
\draw[style=help lines] (0,0) grid (3,2);
\draw      (0,0) -- (1,1);
\draw[red] (0,0) -- ([xshift=3pt] 1,1);
\draw      (1,0) -- +(30:2cm);
\draw[red] (1,0) -- +([shift=(135:5pt)] 30:2cm);

%%tikz -s 200,200 -sc 3 -f png
\draw (0,0,0) -- (1,0,0);
\draw (0,0,0) -- (0,1,0);
\draw (0,0,0) -- (0,0,1);

%%tikz -s 300,300 -sc 1  -f png
\draw (-1,0) -- +(3.5,0);
\draw (1,0) ++(210:2cm) -- +(30:4cm);
\draw (1,0) +(0:1cm) arc (0:30:1cm);
\draw (1,0) +(180:1cm) arc (180:210:1cm);
\path (1,0) ++(15:.75cm) node{$\alpha$};
\path (1,0) ++(15:-.75cm) node{$\beta$};

%%tikz -s 200,200 -sc 3  -f png
\tikz[rotate=0] \draw[step=1mm] (0,0) grid (2,2);

%%tikz -s 200,200 -sc 1  -f png
[thin,fill opacity=1]
\filldraw[fill=red,opacity=0.5]   (0:1cm)    circle (12mm);
\filldraw[fill=green,opacity=0.5] (120:1cm)  circle (12mm);
\filldraw[fill=blue,opacity=0.5]  (-120:1cm) circle (12mm);

%%tikz -s 200,200 -sc 3  -f png
\fill[red] (0,0) rectangle (3,2);
\node                   at (0,0) {\huge A};
\node[fill opacity=0.5] at (3,2) {\huge B};

%%tikz -s 200,200 -sc 3  -f png
\shade[ball color=white] (0,0) circle (2ex);
\shade[ball color=red] (1,0) circle (2ex);
\shade[ball color=black] (2,0) circle (2ex);

%%tikz -s 400,400 -sc 1  -f png
\draw[gray,very thin] (-1.9,-1.9) grid (2.9,3.9)
[step=0.25cm] (-1,-1) grid (1,1);
\draw[blue] (1,-2.1) -- (1,4.1);
% asymptote
\draw[->] (-2,0) -- (3,0) node[right] {$x(t)$};
\draw[->] (0,-2) -- (0,4) node[above] {$y(t)$};
\foreach \pos in {-1,2}
\draw[shift={(\pos,0)}] (0pt,2pt) -- (0pt,-2pt) node[below] {$\pos$};
\foreach \pos in {-1,1,2,3}
\draw[shift={(0,\pos)}] (2pt,0pt) -- (-2pt,0pt) node[left] {$\pos$};
\fill (0,0) circle (0.064cm);
\draw[thick,parametric,domain=0.4:1.5,samples=200]
% The plot is reparameterised such that there are more samples
% near the center.
plot[id=asymptotic-example] function{(t*t*t)*sin(1/(t*t*t)),(t*t*t)*cos(1/(t*t*t))}
node[right] {$\bigl(x(t),y(t)\bigr) = (t\sin \frac{1}{t}, t\cos \frac{1}{t})$};
\fill[red] (0.63662,0) circle (2pt)
node [below right,fill=white,yshift=-4pt] {$(\frac{2}{\pi},0)$};

%%tikz -s 500,500 -sc 1  -f png
\tikzstyle{vertex}=[circle,fill=black!25,minimum size=17pt,inner sep=0pt]
\foreach \name/\x in {s/1, 2/2, 3/3, 4/4, 15/11, 16/12, 17/13, 18/14, 19/15, t/16}
\node[vertex] (G-\name) at (\x,0) {$\name$};
\foreach \name/\angle/\text in {P-1/234/5, P-2/162/6, P-3/90/7, P-4/18/8, P-5/-54/9}
\node[vertex,xshift=6cm,yshift=.5cm] (\name) at (\angle:1cm) {$\text$};
\foreach \name/\angle/\text in {Q-1/234/10, Q-2/162/11, Q-3/90/12, Q-4/18/13, Q-5/-54/14}
\node[vertex,xshift=9cm,yshift=.5cm] (\name) at (\angle:1cm) {$\text$};
\foreach \from/\to in {s/2,2/3,3/4,3/4,15/16,16/17,17/18,18/19,19/t}
\draw (G-\from) -- (G-\to);
\foreach \from/\to in {1/2,2/3,3/4,4/5,5/1,1/3,2/4,3/5,4/1,5/2}
{ \draw (P-\from) -- (P-\to); \draw (Q-\from) -- (Q-\to); }
\draw (G-3) .. controls +(-30:2cm) and +(-150:1cm) .. (Q-1);
\draw (Q-5) -- (G-15);

%%tikz -s 500,500 -sc 1  -f png
\draw[line width=0.3cm,color=red!30,cap=round,join=round] (0,0)--(2,0)--(2,5);
\draw[help lines] (-2.5,-2.5) grid (5.5,7.5);
\draw[very thick] (1,-1)--(-1,-1)--(-1,1)--(0,1)--(0,0)--
(1,0)--(1,-1)--(3,-1)--(3,2)--(2,2)--(2,3)--(3,3)--
(3,5)--(1,5)--(1,4)--(0,4)--(0,6)--(1,6)--(1,5)
(3,3)--(4,3)--(4,5)--(3,5)--(3,6)
(3,-1)--(4,-1);
\draw[below left] (0,0) node(s){$s$};
\draw[below left] (2,5) node(t){$t$};
\fill (0,0) circle (0.06cm) (2,5) circle (0.06cm);
\draw[->,rounded corners=0.2cm,shorten >=2pt]
(1.5,0.5)-- ++(0,-1)-- ++(1,0)-- ++(0,2)-- ++(-1,0)-- ++(0,2)-- ++(1,0)--
++(0,1)-- ++(-1,0)-- ++(0,-1)-- ++(-2,0)-- ++(0,3)-- ++(2,0)-- ++(0,-1)--
++(1,0)-- ++(0,1)-- ++(1,0)-- ++(0,-1)-- ++(1,0)-- ++(0,-3)-- ++(-2,0)--
++(1,0)-- ++(0,-3)-- ++(1,0)-- ++(0,-1)-- ++(-6,0)-- ++(0,3)-- ++(2,0)--
++(0,-1)-- ++(1,0);