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请给出此图的乳胶代码，其中阴影区域如图所示

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请给出此图的乳胶代码，其中阴影区域如图所示

在此处输入图片描述

我已经可以画出图表，除了阴影区域和表示 OP 和 OP' 相等的标记。请帮帮我！！

答案1

另一个 tikz 解决方案。它使用calc库来绘制一些坐标和等号。显然，它patterns也需要库。

\documentclass[border=2mm]{standalone}
\usepackage    {tikz}
\usetikzlibrary{calc}
\usetikzlibrary{patterns}

\begin{document}
\begin{tikzpicture}[scale=1.25,line join=round]
% coordinates
\coordinate (O)  at (0,0);
\coordinate (O') at ({3*sqrt(2)},0);
\coordinate (T)  at ({sqrt(2)},0);
\coordinate (P)  at ({1.5*sqrt(2)},{sqrt(3.5)});
\coordinate (M)  at ($(O) !0.4!(P)$); % blue mark
\coordinate (N)  at ($(O')!0.4!(P)$); % blue mark
% shaded region
\fill[pattern=north west lines,pattern color=red] (O) -- (O') -- (P) -- cycle;
% circles
\draw[fill=white]  (O)  circle ({sqrt(2)});
\draw[fill=white]  (O') circle ({2*sqrt(2)});
\draw[gray,dashed] ($(P)-({2*sqrt(2)},0)$) arc (180:360:{2*sqrt(2)});
% triangle and blue marks
\draw (O) -- (O') -- (P) -- cycle;
\draw[blue,thick] ($(M)!0.15cm!270:(P)$) -- ($(M)!0.15cm!90:(P)$);
\draw[blue,thick] ($(N)!0.15cm!270:(P)$) -- ($(N)!0.15cm!90:(P)$);
% points and nodes
\fill (O)  circle (1pt) node [below] {$O$};
\fill (O') circle (1pt) node [below] {$O'$};
\fill (T)  circle (1pt);
\fill (P)  circle (1pt) node [above] {$P$};
\node at ($(O)!0.5!(T)$)  [below] {$\sqrt{2}$};
\node at ($(T)!0.5!(O')$) [below] {$2\sqrt{2}$};
\end{tikzpicture}
\end{document}

在此处输入图片描述

答案2

您可以使用pedeven odd rule内的 d 路径组合来绘制填充区域。有关详细信息，请查看代码中的注释。clipscope

添加标签非常简单/基本，您应该能够自己完成。如果不会，请查看 TikZ 手册 (pgfmanual.pdf) 中的教程。

\documentclass[border=5pt]{standalone}
\usepackage{tikz}
    % (for debugging purposes only)
    \usetikzlibrary{backgrounds}
\begin{document}
\begin{tikzpicture}
    % (so we don't have to repeat the coordinates over and over again)
    \coordinate (A) at (0,-1);
    \coordinate (B) at (4.9,0);
    \coordinate (C) at (2.65,2);

    % (create some "abbreviations for the pathes)
    \newcommand{\Triangle}{(A) -- (B) -- (C) -- cycle}
    \newcommand{\CircleA}{(A) circle [radius=2]}
    \newcommand{\CircleB}{(B) circle [radius=3]}

    % draw the stuff
    \draw
        \Triangle
        \CircleA
        \CircleB
    ;

    % draw the filling
    \begin{scope}
        \clip \Triangle;

        \fill[
            even odd rule,
            gray,
        ]
            \Triangle
            \CircleA
            \CircleB
        ;
    \end{scope}

    % -------------------------------------------------------------------------
    % for debugging purposes to prove that no white filling is needed
    \begin{scope}[on background layer={color=yellow}]
        \fill (current bounding box.south west)
            rectangle (current bounding box.north east);
    \end{scope}
    % -------------------------------------------------------------------------

\end{tikzpicture}
\end{document}

该图显示了上述代码的结果

答案3

这是一种使用的方法元帖子包裹在 中luamplib。您需要用 来编译它lualatex。

在此处输入图片描述

\documentclass[border=5mm]{standalone}
\usepackage{luamplib}
\begin{document}
\mplibtextextlabel{enable}
\begin{mplibcode}
beginfig(1);
    path c, c';
    c = fullcircle scaled 144;
    c' = c scaled 2; c' := c' shifted (point 0 of c - point 4 of c');

    numeric t, u;
    (t, whatever) = c' intersectiontimes c' shifted - center c';
    (u, whatever) = c intersectiontimes (center c -- point t of c');

    path s;
    s = subpath (0, u) of c -- subpath (t, 4) of c' -- cycle;

    % leave this out if you do not want the shade in region s
    for i=0 upto 50:
        draw (left--right) scaled 200 rotated 135 shifted (4i, 0) withcolor 1/2[blue, white];
    endfor
    clip currentpicture to s;

    draw c' shifted (point t of c' - center c') withcolor 15/16;

    draw c  withcolor 2/3 blue;
    draw c' withcolor 2/3 blue;
    draw center c -- center c' -- point t of c' -- cycle;

    dotlabel.llft("$O$", center c);
    dotlabel.lrt("$O'$", center c');
    dotlabel.ulft("$P$", point t of c');

    label.bot("$\sqrt2$", 1/2[center c, point 0 of c]);
    label.bot("$2\sqrt2$", 1/2[center c', point 4 of c']);

endfig;
\end{mplibcode}
\end{document}

答案4

如果您的问题仅涉及阴影空间，而不涉及确切的尺寸、标签等，我有一个可能的解决方案。

你可以使用tikz库来实现这一点。我的方法是让三角形完全充满图案，然后用\clip白色填充三角形与圆圈相交的空间。

在此处输入图片描述

以下是代码：

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{patterns}

\begin{document}

    \begin{tikzpicture}
    % Draw triangle completely filled with patterns
    \draw[pattern=north west lines] (0,-1) -- (4.9, 0) -- (2.65, 2) -- (0,-1);
    
    % Remove patterns inside left circle and draw left circle
    \begin{scope}
        \clip (0,-1) circle (2);
        \draw[fill=white] (0,-1) -- (4.9, 0) -- (2.65, 2) -- (0,-1);
    \end{scope}
    
    \draw (0,-1) circle (2);
    
    % Remove patterns inside right circle and draw right circle
    \begin{scope}
        \clip (4.9,0) circle (3);
        \draw[fill=white] (0,-1) -- (4.9, 0) -- (2.65, 2) -- (0,-1);
    \end{scope}
    
    \draw (4.9,0) circle (3);
    
    \end{tikzpicture}
\end{document}

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