Tikz 在两个定义的路径之间填充

Question

设置：在 beamer 中使用 Tikz。

我想用颜色填充由一些线段和一个圆界定的区域。由于我无法\clip与路径一起使用，我四处寻找并找到了这个替代解决方案使用 PGf 图\fillbetween。

在 MWE 的右侧部分（见下图），一切都如我所愿。然而，在左侧部分，圆​​圈内有一个白色三角形区域，我希望用灰色填充。我试着尝试了解图层如何与剪辑一起工作，但我却更加困惑了。

可能相关：

• 这个问题看起来确实相关，但我不确定我的路径是否从另一个地方开始。感觉更像是以某种方式翻译的。但即使是同样的问题，我也不知道如何将那里的解决方案应用于我的情况。

\documentclass{standalone}
\usepackage{tikz}
\usepackage{pgfplots}
\pgfplotsset{compat=1.10}
\usepgfplotslibrary{fillbetween}
     
\begin{document}       
    \begin{tikzpicture}
        \pgfdeclarelayer{pre main}
        \pgfsetlayers{pre main,main}
            \coordinate (1) at (-4.7,4.5);
            \coordinate (2) at (-3.2,4.1);
            \coordinate (a) at (-4.9,2.3);
            %\coordinate (a) at (-4,2.3); %%%%change (a) causes even stranger behaviour
            \coordinate (c) at (-6.9,8.7);
            \coordinate (e) at (-2.7,8.8);
            \coordinate (f) at (-4.5,2.3);
            \coordinate (g) at (2.9,6.2);
            
            \clip (-7,2) rectangle (-1.5,5);
            %edges
            \draw [name path=D] (a)-- (c);
            \draw [name path=E] (f)-- (e);
            \draw [name path=A] (f)-- (g);
            %dots
            \draw [fill=black] (1) circle (2.5pt);        
            \draw [fill=black] (2) circle (2.5pt);
            %circles
            \pgfonlayer{pre main}
              \begin{scope}
                \clip[insert path={(1) circle (1cm)}]; %%%%remove the clip gives impression that the path is translated
                \tikzfillbetween[of=E and D]{gray};
              \end{scope}
              \begin{scope}
                \clip[insert path={(2) circle (1cm)}];
                \tikzfillbetween[of=A and E]{gray};
              \end{scope}
            \endpgfonlayer
        \end{tikzpicture}
\end{document}

提前致谢！

Answer 1

不带和层的建议\fillbetween：

\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
  \coordinate (1) at (-4.7,4.5);
  \coordinate (2) at (-3.2,4.1);
  \coordinate (a) at (-4.9,2.3);
  %\coordinate (a) at (-4,2.3);
  \coordinate (c) at (-6.9,8.7);
  \coordinate (e) at (-2.7,8.8);
  \coordinate (f) at (-4.5,2.3);
  \coordinate (g) at (2.9,6.2);
  \clip (-7,2) rectangle (-1.5,5);
  %circles
  \begin{scope}
    \clip (1) circle [radius=1];
    \fill[gray](a)--(c)--(e)--(f)--cycle ;
  \end{scope}
  \begin{scope}
    \clip (2) circle [radius=1];
    \fill[gray](e)--(f)--(g)--cycle;
  \end{scope}
  %edges
  \draw (a)-- (c)  (f)-- (e)  (f)-- (g);
  %dots
  \draw [fill=black] (1) circle [radius=2.5pt];
  \draw [fill=black] (2) circle [radius=2.5pt];
  \end{tikzpicture}
\end{document}

或者

\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
  \coordinate (1) at (-4.7,4.5);
  \coordinate (2) at (-3.2,4.1);
  \coordinate (a) at (-4.9,2.3);
  %\coordinate (a) at (-4,2.3);
  \coordinate (c) at (-6.9,8.7);
  \coordinate (e) at (-2.7,8.8);
  \coordinate (f) at (-4.5,2.3);
  \coordinate (g) at (2.9,6.2);
  \clip (-7,2) rectangle (-1.5,5);

  %circles
  \path
    [path picture={\fill[gray] (1) circle [radius=1];}]
    (a)--(c)--(e)--(f)--cycle ;
  \path
    [path picture={\fill[gray] (2) circle [radius=1];}]
    (e)--(f)--(g)--cycle ;
  %edges
  \draw (a)-- (c)  (f)--(e)  (f)--(g);
  %dots
  \foreach \c in {1,2}
    {\draw [fill=black] (\c) circle [radius=2.5pt];}
  \end{tikzpicture}
\end{document}

还有一个使用图层的建议：

\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
  \pgfdeclarelayer{pre main}
  \pgfsetlayers{pre main,main}
  \coordinate (1) at (-4.7,4.5);
  \coordinate (2) at (-3.2,4.1);
  \coordinate (a) at (-4.9,2.3);
  %\coordinate (a) at (-4,2.3);
  \coordinate (c) at (-6.9,8.7);
  \coordinate (e) at (-2.7,8.8);
  \coordinate (f) at (-4.5,2.3);
  \coordinate (g) at (2.9,6.2);
  \clip (-7,2) rectangle (-1.5,5);

  %edges
  \draw (a)-- (c)  (f)--(e)  (f)--(g);
  %dots
  \foreach \c in {1,2}
    {\draw [fill=black] (\c) circle [radius=2.5pt];}
  %circles
  \pgfonlayer{pre main}
    \path
      [path picture={\fill[gray] (1) circle [radius=1];}]
      (a)--(c)--(e)--(f)--cycle ;
    \path
      [path picture={\fill[gray] (2) circle [radius=1];}]
      (e)--(f)--(g)--cycle ;
  \endpgfonlayer
  \end{tikzpicture}
\end{document}