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如何在 R^3 中的 YZ 平面上画一个圆圈？

tag-icon • tag-icon positioning 3d tikz-3dplot
如何在 R^3 中的 YZ 平面上画一个圆圈？

正如标题所写，我想在 YZ 平面上画一个圆，目前我写的是静态坐标，但如果可以让 tikz 计算透视，那就更好了。提前谢谢您:)

这是我的（因此可能没用）代码+png： - 我想，我必须使用\usepackage{tikz-3dplot}，但不知道该怎么做.. 在此处输入图片描述

\documentclass{standalone}
\usepackage{tikz}
\begin{document}

\begin{tikzpicture}

%3D-Koordinatensystem:
\draw[->, >=latex] (-0.5,0,0) -- (7,0,0) node[below]{};
\draw[->, >=latex] (0,-0.5,0) -- (0,3,0) node[left]{}; 
\draw[->, >=latex] (0,0,-0.5) -- (0,0,5) node[left]{};

\coordinate (0) at (-1.5,1);

\coordinate (1) at (-2,-0.62);
\coordinate (2) at (-1,-0.62);
\coordinate (3) at (0,-0.62);
\coordinate (4) at (1,-0.62);
\coordinate (5) at (2,-0.62);
\coordinate (6) at (3,-0.62);
\coordinate (7) at (4,-0.62);
\coordinate (8) at (5,-0.62);
\coordinate (9) at (6,-0.62);
\coordinate (10) at (7,-0.62);
\coordinate (10) at (8,-0.62);
\coordinate (10) at (9,-0.62);


\draw[thick, dashed] (0) circle[x={(1cm,1.4cm)},y={(1cm,-1cm)},x radius=1, y radius=0.8] node [above=14mm, left=4mm] {$(t_o,x_o)$} ;
\draw[thick] (0) circle[x={(1cm,1.4cm)},y={(1cm,-1cm)},x radius=0.4, y radius=0.3]; 

\filldraw (0) circle (0.25mm) node [below=1.5mm, right=0.5mm] {$\delta$};

\draw (0) -- (-1.05,1) node [above=10mm, left=1mm] {$\varepsilon$};
\draw (0) -- (-1,2.62);

\filldraw (-2,-0.62)circle (0.2mm);




\draw [line width=0.8] (1) to [out=350,in=130] (2); 
\draw [line width=0.8] (2) to [out=320,in=140] (3);
\draw [line width=0.8] (3) to [out=320,in=140] (4);
\draw [line width=0.8] (4) to [out=320,in=140] (5);
\draw [line width=0.8] (5) to [out=320,in=140] (6);
\draw [line width=0.8] (6) to [out=320,in=140] (7);
\draw [line width=0.8] (7) to [out=320,in=140] (8);
\draw [line width=0.8] (8) to [out=320,in=140] (9);


\end{tikzpicture}
\end{document}

答案1

也许是这样的：

在此处输入图片描述

这是使用圆的参数图完成的，使用tikz 的三维坐标：

 \draw[smooth] plot (0,{2.2+0.6*cos(\x r)},{2.2+0.6*sin(\x r)});

完整代码如下：

\documentclass[tikz, border=2mm]{standalone}
\begin{document}

\begin{tikzpicture}

%3D-Koordinatensystem:
  \draw[->, >=latex] (-0.5,0,0) -- (7,0,0) node[below]{};
  \draw[->, >=latex] (0,-0.5,0) -- (0,3,0) node[left]{};
  \draw[->, >=latex] (0,0,-0.5) -- (0,0,5) node[left]{};

  \coordinate (0) at (-1.5,1);

  \coordinate (1) at (-2,-0.62);
  \coordinate (2) at (-1,-0.62);
  \coordinate (3) at (0,-0.62);
  \coordinate (4) at (1,-0.62);
  \coordinate (5) at (2,-0.62);
  \coordinate (6) at (3,-0.62);
  \coordinate (7) at (4,-0.62);
  \coordinate (8) at (5,-0.62);
  \coordinate (9) at (6,-0.62);
  \coordinate (10) at (7,-0.62);
  \coordinate (10) at (8,-0.62);
  \coordinate (10) at (9,-0.62);

  \draw[smooth] plot (0,{2.2+0.6*cos(\x r)},{2.2+0.6*sin(\x r)});
  \draw[smooth, dashed] plot (0,{2.2+1.4*cos(\x r)},{2.2+1.4*sin(\x r)});

  \draw(0,2.2,2.2)--++(0.55,0.75,0)node[above right]{$\varepsilon$};
  \draw(0,2.2,2.2)--node[below]{$\delta$} ++(0.5,0,0);

  \filldraw (0, 2.2, 2.2) circle (0.2mm);

  \draw [line width=0.8] (1) to [out=350,in=130] (2);
  \draw [line width=0.8] (2) to [out=320,in=140] (3);
  \draw [line width=0.8] (3) to [out=320,in=140] (4);
  \draw [line width=0.8] (4) to [out=320,in=140] (5);
  \draw [line width=0.8] (5) to [out=320,in=140] (6);
  \draw [line width=0.8] (6) to [out=320,in=140] (7);
  \draw [line width=0.8] (7) to [out=320,in=140] (8);
  \draw [line width=0.8] (8) to [out=320,in=140] (9);

\end{tikzpicture}
\end{document}

我把圆圈的位置安排得有些随机，特别是没有把它们与你的“波浪”对齐，但这些细节很容易调整。

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