Tikz – esempio 22

Benvenuti nel nostro esempio 22 di utilizzo del pacchetto Tikz, una risorsa utilissima del linguaggio per comporre immagini di altissima qualità. In questo articolo proponiamo un esempio di utilizzo. Segnaliamo anche il precedente Tikz – esempio 21 e il successivo Tikz – esempio 23 per ulteriore materiale.

Buona lettura!

 

Prima figura

 

 

codice prima figura

 

\begin{tikzpicture}
\begin{axis}[
scale=2,
axis x line=center,
axis y line=center,
xmin = -1,
xmax = 4,
ymin = -2,
ymax = 3,
xlabel = {$x$},
ylabel = {$y$},
]
\addplot[very thick,samples=100,Red,domain=0:3.14159,name path=graficoseno]{0};
\addplot[very thick,samples=100,Red,domain=0:3.14159,name path=base] {sin(deg(x))};
\addplot[TealBlue!30] fill between[of=graficoseno and base, soft clip={domain=0:3.14159}];
\draw (axis cs:1.3,0.5) node[rotate=0] [MidnightBlue]{$A^\circ$};
\draw (axis cs:2.7,0.7) node[rotate=0] [red]{$\partial A$};
\addplot[mark=*,red] coordinates {(0,0)} node[below left,red] {$O$};
\addplot[mark=*,red] coordinates {(3.14159,0)} node[below right] {$\pi$};
\end{axis}
\end{tikzpicture}

 

seconda figura

 

 

codice seconda figura

 

\begin{tikzpicture}
\begin{axis}[
scale=2,
axis x line=center,
axis y line=center,
xmin = -1,
xmax = 4,
ymin = -2,
ymax = 3,
xlabel = {$x$},
ylabel = {$y$},
]
\addplot[very thick,samples=100,Red,domain=0:3.14159,name path=graficoseno]{0};
\addplot[very thick,samples=100,Red,domain=0:3.14159,name path=base] {sin(deg(x))};
\addplot[TealBlue!30] fill between[of=graficoseno and base, soft clip={domain=0:3.14159}];
\draw (axis cs:1,0.3) node[rotate=0] [MidnightBlue]{$A^\circ$};
\draw (axis cs:2.7,0.7) node[rotate=0] [red]{$\partial A$};
\addplot[mark=*,red] coordinates {(0,0)} node[below left,red] {$P_1$};
\addplot[mark=*,red] coordinates {(3.14159,0)} node[below right] {$P_2$};
\addplot[mark=*,red] coordinates {(1.0472,0.866)} node[above left] {$P_3$};
\addplot[mark=*,red] coordinates {(2.0944,0.866)} node[above right] {$P_4$};
\addplot[mark=*, MidnightBlue] coordinates {(1.57079,0.5)} node[below left] {$P_0$};
\end{axis}
\end{tikzpicture}

 

terza figura

 

 

codice terza figura

 

\begin{tikzpicture}
\begin{axis}[
width = 0.7\textwidth,
height = 0.7\textwidth,
xtick = \empty,
ytick = \empty,
axis on top,
axis equal image,
axis x line=center,
axis y line=center,
xmin = -4,
xmax = 4,
ymin = -4,
ymax = 4,
xlabel = {$x$},
ylabel = {$y$},
extra x tick label = {$\hspace{0.4cm}O$},
disabledatascaling,
]
\draw[fill=red] (axis cs:0,0) circle [radius=3];
\draw (axis cs:1,0.55) node[rotate=0] {$A^\circ$};
\addplot[mark=*,very thick,NavyBlue] coordinates { (-1,2)}node[below left]{$P_1=(-1,2)$};

\addplot[very thick,samples=100,domain=3:-3,Cerulean,,name path=retta 1] {-2*x};
\addplot[very thick,samples=100,domain=3.5:-3.5,Cerulean,,name path=retta 2] {-x/2+3/2};
\draw (axis cs:2.5,-2.5) node[NavyBlue] {$y=-2x$};
\draw (axis cs:1.7,1.5) node[NavyBlue] {$y=-\dfrac{x}{2}+\dfrac{3}{2}$};
\end{axis}
\end{tikzpicture}

 

quarta figura

 

 

codice quarta figura

 

\begin{tikzpicture}
\begin{axis}[
width = 0.7\textwidth,
height = 0.7\textwidth,
xtick = \empty,
ytick = \empty,
axis on top,
axis equal image,
axis x line=center,
axis y line=center,
xmin = -4,
xmax = 4,
ymin = -4,
ymax = 4,
xlabel = {$x$},
ylabel = {$y$},
extra x tick label = {$\hspace{0.4cm}O$},
disabledatascaling,
]
\draw[thick, red, fill=red] (axis cs:0,0) circle [radius=3];
\draw (axis cs:1,0.55) node[rotate=0] {$A^\circ$};
\addplot[mark=*,very thick,NavyBlue] coordinates { (-1,2)}node[below]{$P_1=(-1,2)$};
\addplot[mark=*,very thick,Violet] coordinates { (3,0)}node[below]{$P_2=(3,0)$};
\addplot[mark=*,very thick,Violet] coordinates { (-1.5,2.598)}node[above left]{$P_3=\left(-\dfrac{3}{2},\dfrac{3\sqrt{3}}{2}\right)$};
\addplot[mark=*,very thick,Violet] coordinates { (-1.5,-2.598)}node[below left]{$P_4=\left(-\dfrac{3}{2},-\dfrac{3\sqrt{3}}{2}\right)$};

\end{axis}
\end{tikzpicture}

 

quinta figura

 

 

codice quinta figura

 

\begin{tikzpicture}
\begin{axis}[
width = 0.7\textwidth,
height = 0.7\textwidth,
xtick = \empty,
ytick = \empty,
axis on top ,
xtick = \empty,
ytick = \empty,
axis equal image,
axis x line=center,
axis y line=center,
xmin = -6,
xmax = 6,
ymin = -4,
ymax = 7,
xlabel = {$x$},
ylabel = {$y$},
extra x tick label = {$\hspace{0.4cm}0$},
y label style={anchor=north east}
]
\addplot[mark=*,very thick,Orchid] coordinates { (0,0) (3,3) (3,-3) (0,0)};
\addplot[mark=*,Orchid] coordinates {(3,-3)} node[below right] {$B$};
\addplot[mark=*,Orchid] coordinates {(0,0)} node[below left] {$O$};
\addplot[mark=*,Orchid] coordinates {(3,3)} node[above right] {$C$};
\addplot[very thick,dashed,samples=100,domain=0:3,Orchid,,name path=retta 1] {x};
\addplot[very thick,dashed,samples=100,domain=0:3,Orchid,,name path=retta 2] {-x};
\addplot[red] fill between[of=retta 1 and retta 2, soft clip={domain=0:3}];
\draw (axis cs:1.4,1.9) node[rotate=0] [Orchid]{$\partial A$};
\draw (axis cs:2,-0.4) node[rotate=0] [BlueViolet]{$A^\circ$};
\end{axis}
\end{tikzpicture}

 
 

Risorse didattiche aggiuntive per approfondire la matematica