垂直三角形中的垂直图

Question

所以我想在垂直三角形中有几个垂直曲线，比如

。

我尝试了几种方法，但简单的三点弧线跨越了三角形的边界。绘制正弦（这仍然不是我想要的）似乎无法通过定位，唯一真正有效的旋转图形的选项是以下代码：

    \documentclass[border=3.14pt]{standalone}
    \usepackage{pgfplots}
    \pgfplotsset{compat=newest}
    \begin{document}
    \begin{tikzpicture}
    \coordinate (O1) at (-1,0);
    \coordinate (A1) at (-1,4);
    \coordinate (O2) at (1,0);
    \coordinate (A2) at (1,4);
    \coordinate (O3) at (-1,0);
    \coordinate (A3) at (1,0);
    \coordinate (O4) at (-1,4);
    \coordinate (A4) at (1,4);

    \path[every node/.style={font=\sffamily\small}]
           (O1) edge[]  (A1);
    \path[every node/.style={font=\sffamily\small}]
           (O2) edge[]  (A2);
    \path[every node/.style={font=\sffamily\small}]
           (O3) edge[]  (A3);
    \path[every node/.style={font=\sffamily\small}]
           (O4) edge[]  (A4);
    \path[every node/.style={font=\sffamily\small}]
           (-1,0) edge[]  (1,2);
           (-1,4) edge[]  (1,6);
    \path[every node/.style={font=\sffamily\small}]
           (1,2) edge[]  (-1,4);
           (1,6) edge[]  (-1,8);

    \begin{scope}[rotate=-90]
    \draw[dashed] (0,0) plot[domain=0:3.14159265,smooth, variable = \y] (\y,            
    {sin(\y r)});
    \end{scope}

    \end{tikzpicture}
    \end{document}

这样就生成了第二张图片。（很抱歉这篇文章的格式不对，我真的不知道如何处理这么长的图片）。

Answer 1

像这样？

使用纯 TikZ 代码：

\documentclass[tikz, border=3.14pt]{standalone}

\begin{document}
    \begin{tikzpicture}[
   box/.style = {draw, minimum width=2cm, minimum height=4cm,
                 inner sep=0pt, node contents={}}
                        ]  
%
\node (n) [box];
\draw (n.south east) -- (n.west) -- (n.north east);
\draw[dashed,thin]
    (n.south east) to [bend left=45,looseness=1.50] (n.north east)
    (n.south east) to [bend left=30,looseness=1.25] (n.north east)
    (n.south east) to [bend left=15] (n.north east);
\node [above] at (n.south) {$r=0$};
\node [below] at (n.north) {$r=0$};
\end{tikzpicture}
\end{document}

Answer 2

怎么样

\documentclass[tikz,border=3.14pt]{standalone}
\begin{document}
\begin{tikzpicture}
 \node[draw,minimum width=2cm,minimum height=4cm] (graph){};
 \draw (graph.north east) -- (graph.west) node[pos=0.3,left]{$r=0$}
 -- (graph.south east) node[pos=0.7,left]{$r=0$};
 \draw[dashed] foreach \X in {1,2,3} 
 {(graph.south east) to[out=90+\X*45/4,in=-90-\X*45/4,looseness=1.7] (graph.north east)};
\end{tikzpicture}
\end{document}