我正在尝试用颜色填充一个自成形状的区域（使用 \draw 命令效果不佳），但不知道如何告诉 tikz 该区域是什么。下面创建了我的绘图，我想要着色的区域是立方体体积与其切割区域的交点。
\documentclass[11pt,a4paper,onesided]{report}
\usepackage[ngerman]{babel}
\usepackage{amsmath,amsfonts,amssymb,amsthm}
\usepackage{pgfplots}
\usetikzlibrary{calc,fit,patterns,decorations.markings,matrix,3d}
\begin{document}
\begin{tikzpicture}[scale=1]
\draw[thin,->] (-2,0) -- (5,0);
\draw[thin,->] (0,-2) -- (0,3) node[at end, anchor = east] {$\mathbb{R}^{d-n}$};
\draw[very thick,] (0,-1.5) -- (0,1.5) ;
\draw[->] (-2,1) to [out=30,in=150] (-0.1,1);
\node[] at (-2.3,.9) {$T_0'$};
\draw[->] (-1,-1.9) to [out=-10,in=-150] (1.4,-1);
\node[] at (-1.3,-1.9) {$\hat{T_0}$};
%Zylinder
\draw[] (1.5,-1.5) -- (1.5,1.5);
\draw[] (3.5,-1.5) -- (3.5,1.5);
\begin{scope}[canvas is zx plane at y=0]
\draw (0,2.5) circle (2cm);
\draw[fill=gray,opacity=0.5] (0,2.5) circle (1cm);
%
\draw[->] (-2,0) -- (3,0);
\end{scope}
\begin{scope}[canvas is zx plane at y=1.5]
\draw (0,2.5) circle (1cm);
\end{scope}
\begin{scope}[canvas is zx plane at y=-1.5]
\draw (0,2.5) circle (1cm);
\end{scope}
\begin{scope}[every node/.append style={
xslant=1,sloped}
]
\node at (2.4,-.2) {\scalebox{1}[.7]{$T_0$}};
\node at (4,.4) {\scalebox{1}[.7]{$T$}};
\node at (-.8,-.2) {\scalebox{1}[.7]{$\mathbb{R}^n$}};
\end{scope}
\draw[] (6,-2) to [out=20,in=160] (11,-2.5);
\draw[] (11,-2.5) to [out=90,in=220] (13,2.5);
\draw[] (13,2.5) to [out=-200,in=10] (8,3.5);
\draw[] (7,-.5) to [out=20,in=160] (10,-1);
\draw[] (10,-1) to [out=90,in=220] (11,1.8);
\draw[] (11,1.8) to [out=-200,in=10] (8.5,2.5);
\draw[] (8.5,2.5) to [out=-150,in=100] (7,-.5);
\draw[] (7.5,.7) to [out=0,in=140] (9,0.2);
\draw[] (9,.2) to [out=70,in=240] (9.8,1.4);
\draw[dashed] (9.8,1.4) to [out=160,in=0] (8.3,1.8);
\draw[dashed] (8.3,1.8) to [out=-150,in=70] (7.5,.7);
\draw[] (9,.2) -- (9,1.3);
\draw[] (7.5,.7) -- (7.5,1.8);
\draw[] (9.8,1.4) -- (9.8,2.5);
\draw[] (8.3,1.8) -- (8.3,2.9);
\draw[] (7.5,1.8) to [out=0,in=140] (9,1.3);
\draw[] (9,1.3) to [out=70,in=240] (9.8,2.5);
\draw[] (9.8,2.5) to [out=160,in=0] (8.3,2.9);
\draw[] (8.3,2.9) to [out=-150,in=70] (7.5,1.8);
\draw[dashed] (9,.2) -- (9,-.9);
\draw[dashed] (7.5,.7) -- (7.5,-.4);
\draw[dashed] (9.8,1.4) -- (9.8,.3);
\draw[dashed] (8.3,1.8) -- (8.3,.7);
\draw[dashed] (7.5,-.4) to [out=0,in=140] (9,-0.9);
\draw[dashed] (9,-.9) to [out=70,in=240] (9.8,.3);
\draw[dashed] (9.8,.3) to [out=160,in=0] (8.3,.7);
\draw[dashed] (8.3,.7) to [out=-150,in=70] (7.5,-.4);
\end{tikzpicture}
\end{document
我希望你能帮我解决这个小问题，如果你有任何关于如何让这幅图看起来不那么手工、更有条理的建议，请随时推荐！（另外，你能不能不将 .pdf 数据上传到帖子？我也想上传编译后的图像作为帮助）
提前致谢。
答案1
一种选择：
我用了
\fill[cyan,fill opacity=0.4] (7.5,.7) to [out=0,in=140] (9,0.2)
to [out=70,in=240] (9.8,1.4)
to [out=160,in=0] (8.3,1.8)
to [out=-150,in=70] cycle;
（一条封闭的路径）进行填充，然后
\draw[] (7.5,.7) to [out=0,in=140] (9,0.2)
to [out=70,in=240] (9.8,1.4);
\draw[dashed] (9.8,1.4) to [out=160,in=0] (8.3,1.8)
to [out=-150,in=70] (7.5,.7);
用于绘图。
完整代码：
\documentclass[11pt,a4paper,onesided]{report}
\usepackage[ngerman]{babel}
\usepackage{amsmath,amsfonts,amssymb,amsthm}
\usepackage{pgfplots}
\usetikzlibrary{calc,fit,patterns,decorations.markings,matrix,3d}
\begin{document}
\begin{tikzpicture}[scale=1]
\draw[thin,->] (-2,0) -- (5,0);
\draw[thin,->] (0,-2) -- (0,3) node[at end, anchor = east] {$\mathbb{R}^{d-n}$};
\draw[very thick,] (0,-1.5) -- (0,1.5) ;
\draw[->] (-2,1) to [out=30,in=150] (-0.1,1);
\node[] at (-2.3,.9) {$T_0'$};
\draw[->] (-1,-1.9) to [out=-10,in=-150] (1.4,-1);
\node[] at (-1.3,-1.9) {$\hat{T_0}$};
%Zylinder
\draw[] (1.5,-1.5) -- (1.5,1.5);
\draw[] (3.5,-1.5) -- (3.5,1.5);
\begin{scope}[canvas is zx plane at y=0]
\draw (0,2.5) circle (2cm);
\draw[fill=gray,opacity=0.5] (0,2.5) circle (1cm);
%
\draw[->] (-2,0) -- (3,0);
\end{scope}
\begin{scope}[canvas is zx plane at y=1.5]
\draw (0,2.5) circle (1cm);
\end{scope}
\begin{scope}[canvas is zx plane at y=-1.5]
\draw (0,2.5) circle (1cm);
\end{scope}
\begin{scope}[every node/.append style={
xslant=1,sloped}
]
\node at (2.4,-.2) {\scalebox{1}[.7]{$T_0$}};
\node at (4,.4) {\scalebox{1}[.7]{$T$}};
\node at (-.8,-.2) {\scalebox{1}[.7]{$\mathbb{R}^n$}};
\end{scope}
\draw[] (6,-2) to [out=20,in=160] (11,-2.5);
\draw[] (11,-2.5) to [out=90,in=220] (13,2.5);
\draw[] (13,2.5) to [out=-200,in=10] (8,3.5);
\draw[] (7,-.5) to [out=20,in=160] (10,-1);
\draw[] (10,-1) to [out=90,in=220] (11,1.8);
\draw[] (11,1.8) to [out=-200,in=10] (8.5,2.5);
\draw[] (8.5,2.5) to [out=-150,in=100] (7,-.5);
\fill[cyan,fill opacity=0.4] (7.5,.7) to [out=0,in=140] (9,0.2)
to [out=70,in=240] (9.8,1.4)
to [out=160,in=0] (8.3,1.8)
to [out=-150,in=70] cycle;
\draw[] (7.5,.7) to [out=0,in=140] (9,0.2)
to [out=70,in=240] (9.8,1.4);
\draw[dashed] (9.8,1.4) to [out=160,in=0] (8.3,1.8)
to [out=-150,in=70] (7.5,.7);
\draw[] (9,.2) -- (9,1.3);
\draw[] (7.5,.7) -- (7.5,1.8);
\draw[] (9.8,1.4) -- (9.8,2.5);
\draw[] (8.3,1.8) -- (8.3,2.9);
\draw[] (7.5,1.8) to [out=0,in=140] (9,1.3);
\draw[] (9,1.3) to [out=70,in=240] (9.8,2.5);
\draw[] (9.8,2.5) to [out=160,in=0] (8.3,2.9);
\draw[] (8.3,2.9) to [out=-150,in=70] (7.5,1.8);
\draw[dashed] (9,.2) -- (9,-.9);
\draw[dashed] (7.5,.7) -- (7.5,-.4);
\draw[dashed] (9.8,1.4) -- (9.8,.3);
\draw[dashed] (8.3,1.8) -- (8.3,.7);
\draw[dashed] (7.5,-.4) to [out=0,in=140] (9,-0.9);
\draw[dashed] (9,-.9) to [out=70,in=240] (9.8,.3);
\draw[dashed] (9.8,.3) to [out=160,in=0] (8.3,.7);
\draw[dashed] (8.3,.7) to [out=-150,in=70] (7.5,-.4);
\end{tikzpicture}
\end{document}