79. LaTeX技巧579：Veen（韦恩）图斜线填充的绘制方法

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最近，忙了很多，很多问题没有时间看，之前一位网友问及Veen图如何用斜线填充，实际，我当时也没想出来。后来，请教我身边的高人（当然是老婆了，今天她生日哦，生日快乐），用clip可以做出来。对于Veen图，黄老师写了一个文档基本都介绍清晰了，参看：Veen-pgf.pdf

如下是斜线填充效果图：

代码如下：

\begin{tikzpicture}
\draw (0,0) circle (2cm);
\draw (2,0) circle (2cm);
\clip[draw] (0,0) circle (2cm);
\clip[draw] (2,0) circle (2cm);
\foreach \x in {-1,-0.75,-0.5,-0.25,0,0,0.25,0.5,0.75,1,1.25,1.5,1.75,2,2.25,2.5,2.75}
\draw[xshift=\x cm] (-2,2)--(2,-2);
\end{tikzpicture}

\begin{tikzpicture}
\draw (0,0) circle (2cm);
\draw (55:2.67cm) circle (2cm);
\draw (0:3cm) circle (2cm);
\clip (0,0) circle (2cm);
\clip (55:2.67cm) circle (2cm);
\clip (0:3cm) circle (2cm);
\foreach \x in {-1,-0.75,-0.5,-0.25,0,0,0.25,0.5,0.75,1,1.25,1.5,1.75,2,2.25,2.5,2.75}
\draw[xshift=\x cm] (-2,2)--(2,-2);
\end{tikzpicture}

\begin{tikzpicture}
\tikzset{venn circle/.style={draw,circle,minimum width=6cm,fill=#1,opacity=0.5,very thick}}
\node [venn circle = red] (A) at (0,0) {$A$};
\node [venn circle = blue] (B) at (60:4cm) {$B$};
\node [venn circle = green] (C) at (0:4cm) {$C$};
\draw (0,0) circle (3cm);
\draw (60:4cm) circle (3cm);
\draw (0:4cm) circle (3cm);
\begin{scope}
\clip (0,0) circle (3cm);
\clip (60:4cm) circle (3cm);
\foreach \x in {-5,-4.5,-4,-3.5,-3,-2.5,-2,-1.5,-1,-0.5,0,0.5,1,1.5,2,2.5,3,3.5,4,4.5,5}
\draw[overlay, xshift=\x cm] (2,4)--(2,0);
\end{scope}
\begin{scope}
\clip (60:4cm) circle (3cm);\clip (0:4cm) circle (3cm);
\foreach \y in {-5,-4.5,-4,-3.5,-3,-2.5,-2,-1.5,-1,-0.5,0,0.5,1,1.5,2,2.5,3,3.5,4,4.5,5}
\draw[overlay, xshift=\y cm] (1,0)--(5,4);
\end{scope}
\begin{scope}
\clip (0,0) circle (3cm);
\clip (0:4cm) circle (3cm);
\foreach \z in {-5,-4.5,-4,-3.5,-3,-2.5,-2,-1.5,-1,-0.5,0,0.5,1,1.5,2,2.5,3,3.5,4,4.5,5}
\draw[overlay, yshift=\z cm] (0,3)--(4,3);
\end{scope}
\end{tikzpicture}