使 A Cap B 的环境变薄

Question

如何减小包含 A 交点 B 的线的粗细？这是我的代码：

\documeentclass{book}
\usepackage{tikz}
\usetikzlibrary{patterns}
\begin{document}
\begin{venndiagram2sets}[tikzoptions={scale=1.7, line width = 0.2cm}, labelA= {}, labelB={}, showframe=false, shade={}]
\setpostvennhook{
\draw (labelA) node[above=0.2cm, left=1.1cm]{\LARGE $A$};
\draw (labelB) node[above=0.2cm, right=1.1cm]{\LARGE $B$};}
\begin{scope}[pattern= horizontal lines]
\fillACapB
\end{scope}
\begin{scope}[pattern= north east lines]
\fillACapB
\end{scope}
\end{venndiagram2sets}
\end{document}

我希望它是这样的：

Answer 1

\documentclass[tikz, border=1cm]{standalone}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\draw[line width=8pt] (0,0) circle[radius=2cm] (3,0) circle[radius=2cm];
\filldraw[fill=white] (0,0) circle[radius=2cm] (3,0) circle[radius=2cm];
\clip (0,0) circle[radius=2cm];
\fill[pattern=crosshatch] (3,0) circle[radius=2cm];
\end{tikzpicture}
\end{document}

\documentclass[tikz, border=1cm]{standalone}
\usetikzlibrary{patterns}
\begin{document}
\begin{tikzpicture}
\draw[line width=8pt] (0,0) circle[radius=2cm] (3,0) circle[radius=2cm] (60:3) circle[radius=2cm];
\filldraw[fill=white] (0,0) circle[radius=2cm] (3,0) circle[radius=2cm] (60:3) circle[radius=2cm];
\clip (0,0) circle[radius=2cm];
\clip (60:3) circle[radius=2cm];
\fill[pattern=crosshatch] (3,0) circle[radius=2cm];
\end{tikzpicture}
\end{document}

Answer 2

只是玩一下（如果您想做更复杂的图表，您必须更准确地计算角度）。

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{intersections}

\begin{document}
    \begin{tikzpicture}
        \path[name path=circleA] (0,0) circle [radius=3];
        \path[name path=circleB] (4,0) circle [radius=3];
        \path[name intersections={of=circleA and circleB}] ;
        \draw[red,fill=orange] (intersection-1) arc(132:228:3) arc(-48:48:3);
        \draw[red,line width=3pt] (intersection-1) arc(48:312:3) arc(-132:132:3) -- cycle; 
    \end{tikzpicture}
\end{document}

编辑

第二种方法（我不太喜欢，因为白色填充不允许在图片下方有任何东西，但无论如何这种情况不太可能发生）如下，在我看来线条看起来更好。

\documentclass[tikz,border=3.14mm]{standalone}
\usetikzlibrary{intersections}

\begin{document}
    \begin{tikzpicture}
        \path[name path=circleA] (0,0) circle [radius=3];
        \path[name path=circleB] (4,0) circle [radius=3];
        \path[name intersections={of=circleA and circleB}] ;
        
        \draw[red,line width=15pt] (intersection-1) arc(48:312:3) arc(-132:132:3) -- cycle; 
        \fill[white] (intersection-1) arc(48:312:3) arc(-132:132:3) -- cycle; 
        \draw[red,fill=orange] (intersection-1) arc(132:228:3) arc(-48:48:3);
    \end{tikzpicture}
\end{document}