我正在尝试对切成三块的圆的区域进行着色。以下是代码。
\documentclass{article}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepackage{tkz-euclide}
\usetikzlibrary{arrows,shadows,positioning, calc, decorations.markings,
hobby, quotes,angles,decorations.pathreplacing,intersections}
\usepgfplotslibrary{polar}
\usepgflibrary{shapes.geometric}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{figure}[ht]
\centering
\begin{tikzpicture}[scale=1.25,line width=1pt]
\begin{axis}[
color= white,
xmin=-15,
xmax=15,
ymin=-15,
ymax=15,
axis equal image,
axis lines=middle,
xticklabels={},
yticklabels={},
font=\scriptsize,
ticks=none,
xlabel = {},
ylabel = {},
inner axis line style={stealth-stealth}
]
\draw[black, thick, name path=1] (0,0) circle [radius=12];
\addplot[black, domain=-12:12, samples=300, name path = 1] {sqrt(144-x^2)};
\addplot[black, domain=-12:12, samples=300, name path = 2] {-sqrt(144-x^2)};
\draw[white, name path=3] (-12,0) -- (12,0);
\draw[black, dashed] (-3.179,-11.5713) -- (-3.179,11.5713);
\draw[black, dashed] (3.179,-11.5713) -- (3.179,11.5713);
%\addplot[red, fill opacity=0.20] fill between [of=1 and 2,soft clip=
{domain=-12:-3.179}];
\end{axis}
\end{tikzpicture}
\caption{Slicing the pie into three pieces of equal area.}
\label{pie}
\end{figure}
\end{document}
以下是我将最后一部分注释掉后生成的图像：
现在，当我取消注释最后一行时，结果就是这样。
虽然我得到了想要的阴影，但现在图像略微偏离中心，并且已经绘制了轴线，尽管我并不想这样。我应该怎么做才能解决这个问题？
答案1
至于原始问题：fillbetween并不像人们想象的那么“无辜”，它还以填充位于图后面的方式设置图层。（这是我从 Stefan Pinnow 的评论中学到的。）但是，摆脱轴的最简单方法是说hide axis。
\documentclass{article}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\usepgfplotslibrary{fillbetween}
\begin{document}
\begin{figure}[ht]
\centering
\begin{tikzpicture}[scale=1.25,line width=1pt]
\begin{axis}[hide axis,
xmin=-15,
xmax=15,
ymin=-15,
ymax=15,
axis equal image,
font=\scriptsize,
]
\draw[black, thick, name path=1] (0,0) circle [radius=12];
\addplot[black, domain=-12:12, samples=300, name path = 1] {sqrt(144-x^2)};
\addplot[black, domain=-12:12, samples=300, name path = 2] {-sqrt(144-x^2)};
\draw[black, dashed] (-3.179,-11.5713) -- (-3.179,11.5713);
\draw[black, dashed] (3.179,-11.5713) -- (3.179,11.5713);
\addplot[red, fill opacity=0.20] fill between [of=1 and 2,soft clip=
{domain=-12:-3.179}];
\end{axis}
\end{tikzpicture}
\caption{Slicing the pie into three pieces of equal area.}
\label{pie}
\end{figure}
\end{document}
但是，如果您不想要轴，为什么不直接用 来画呢tikz？（无论如何，我建议使用极坐标。）
\documentclass[tikz,border=3.14mm]{standalone}
\begin{document}
\begin{tikzpicture}
\draw[clip] (0,0) circle (6);
\fill[red, fill opacity=0.20] (105:6) rectangle (-6,-6);
\draw[dashed] (105:6) -- (-105:6) (75:6) -- (-75:6);
\end{tikzpicture}
\end{document}
还请注意能使用 pgfplots 库fillbetween，参见例如这里（我并不是说这个答案特别有创意，这只是我手头上的一个例子。）
至于你的最后一条评论：这是我的建议
\documentclass[tikz,border=3.14mm]{standalone}
\begin{document}
\begin{tikzpicture}[thick]
\pgfmathsetmacro{\radius}{4}
\draw[clip] (0,0) circle (\radius);
\fill[red, fill opacity=0.20] (105:\radius) rectangle (-\radius,-\radius);
\fill[blue, fill opacity=0.20] ({-\radius*sin(15)},\radius) rectangle ({\radius*sin(15)},-\radius);
\fill[green, fill opacity=0.20] (75:\radius) rectangle (\radius,-\radius);
\draw[dashed] (105:\radius) -- (-105:\radius) (75:\radius) -- (-75:\radius);
\end{tikzpicture}
\end{document}
这就是我得到的
