我想要填充线 $y=1$ 和 $y=3$ 之间的区域。
我该如何修复代码？
\documentclass{standalone}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage[a4paper,left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{tkz-tab}
\usepackage{tkz-euclide}
\usepackage{xcolor}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,decorations.markings}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{datavisualization}
\newcommand{\AxisRotator}[1][rotate=0]{
\tikz [x=0.25cm,y=0.60cm,line width=.2ex,-stealth,#1] \draw (0,0) arc (-150:150:0.8 and 0.8);}
\linespread{1.5}
\begin{document}
\begin{tikzpicture}
\begin{axis}[width=20cm,axis equal image, xticklabel style={font=, below left},
yticklabel style={font=, above right}, axis lines=middle,
xmin=-2,xmax=2.5,
ymin=-1,ymax=4,
xtick={0},ytick=
{1,3},
xticklabels={0},yticklabels=
{1,3},
axis line style={very thick, latex-latex},
axis line style={->},
x label style={at={(ticklabel* cs:1)},
anchor=west,},
y label style={at={(ticklabel* cs:1)},
anchor=south},
xlabel={$x$},
ylabel={$y$}
]
\addplot[name path=A, very thick, samples=300, domain=0:1.6] (x,x^3);
\addplot[name path=B, very thick, samples=300, domain=-1.6:0] (x,-x^3);
\addplot[dashed, samples=300, domain=-3:0] (x,x^3);
\addplot[dashed, samples=300, domain=0:3] (x,-x^3);
\draw (-1,1) arc (180:360:1 and 0.2);
\draw[dashed] (-1,1) arc (180:0:1 and 0.2);
\draw (1.44,3) arc (0:180:1.44 and 0.2);
\draw (-1.44,3) arc (180:360:1.44 and 0.2);
\draw[thick] (-1,1)--(1,1);
\draw[thick] (-1.44,3)--(1.44,3);
\addplot[teal!50, opacity=0.45] fill between[of=A and B, soft clip={domain
y=1:3}, reverse=true];
\node [above] at (1.8,3.5) {$ y=x^3 $};
\node [anchor=north] at (axis cs:.1,-.04) {$ 0$};
\end{axis}
\end{tikzpicture}
\end{document}
答案1
通过反转域进行反向绘制。
\documentclass{standalone}
\usepackage{amsmath}
\usepackage{amsfonts}
\usepackage[a4paper,left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
\usepackage{tikz}
\usepackage{pgfplots}
\usepackage{tkz-tab}
\usepackage{tkz-euclide}
\usepackage{xcolor}
\usetikzlibrary{calc,angles,positioning,intersections,quotes,decorations.markings}
\pgfplotsset{compat=1.11}
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{datavisualization}
\newcommand{\AxisRotator}[1][rotate=0]{
\tikz [x=0.25cm,y=0.60cm,line width=.2ex,-stealth,#1] \draw (0,0) arc (-150:150:0.8 and 0.8);}
\linespread{1.5}
\begin{document}
\begin{tikzpicture}
\begin{axis}[width=20cm,axis equal image, xticklabel style={font=, below left},
yticklabel style={font=, above right}, axis lines=middle,
xmin=-2,xmax=2.5,
ymin=-1,ymax=4,
xtick={0},ytick=
{1,3},
xticklabels={0},yticklabels=
{1,3},
axis line style={very thick, latex-latex},
axis line style={->},
x label style={at={(ticklabel* cs:1)},
anchor=west,},
y label style={at={(ticklabel* cs:1)},
anchor=south},
xlabel={$x$},
ylabel={$y$}
]
\addplot[name path=A, very thick, samples=300, domain=0:1.6] (x,x^3);
\addplot[name path=B, very thick, samples=300, domain=0:-1.6] (x,-x^3);
\addplot[dashed, samples=300, domain=-3:0] (x,x^3);
\addplot[dashed, samples=300, domain=0:3] (x,-x^3);
\draw (-1,1) arc (180:360:1 and 0.2);
\draw[dashed] (-1,1) arc (180:0:1 and 0.2);
\draw (1.44,3) arc (0:180:1.44 and 0.2);
\draw (-1.44,3) arc (180:360:1.44 and 0.2);
\draw[thick] (-1,1)--(1,1);
\draw[thick] (-1.44,3)--(1.44,3);
\addplot[teal!50, opacity=0.45] fill between[of=A and B, soft clip={domain
y=1:3}, reverse=true];
\node [above] at (1.8,3.5) {$ y=x^3 $};
\node [anchor=north] at (axis cs:.1,-.04) {$ 0$};
\end{axis}
\end{tikzpicture}
\end{document}
