Tikz 中使用 plottet 的坐标系和一个方程

Question

我想要这个坐标系（轴上有数字）：

我知道如何在 Tikz 中制作它；但是轴上的数字丢失了，我想添加一个图：

\documentclass[border=10pt, tikz]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{arrows,positioning} 

\begin{document}
\tikzset{
>=stealth',
punkt/.style={
           rectangle,
           rounded corners,
           draw=black, very thick,
           text width=6.5em,
           minimum height=2em,
           text centered},
pil/.style={
           ->,
           thick,
           shorten <=2pt,
           shorten >=2pt,}
}
\begin{tikzpicture}
\draw [pil] (4,0) -- (4,8);
\draw [pil] (0,4) -- (8,4);
\draw [gray, dashed, very thin] (0,0) grid (8,8);
\end{tikzpicture}


\end{document}

绘图方程：

((x/7)^2*sqrt(abs(abs(x)-3)/(abs(x)-3))+(y/3)^2*sqrt(abs(y+3/7*sqrt(33))/(y+3/7*sqrt(33)))-1)

我不知道如何在 x 轴和 y 轴上添加数字。我也不知道如何绘制图表。

亲切的问候！

Answer 1

对于绘图，使用pgfplots；其强大的定制功能允许您轻松调整样式为您想要的样式：

代码：

\documentclass[border=10pt, tikz]{standalone}
\usepackage{pgfplots}
\usetikzlibrary{arrows} 

\tikzset{
>=stealth',
punkt/.style={
           rectangle,
           rounded corners,
           draw=black, very thick,
           text width=6.5em,
           minimum height=2em,
           text centered},
pil/.style={
           ->,
           thick,
           shorten <=2pt,
           shorten >=2pt,}
}

\pgfplotsset{
  grid style={gray, dashed, very thin},
  every inner x axis line/.append style={pil},
  every inner y axis line/.append style={pil},
}

\begin{document}

\begin{tikzpicture}
\begin{axis}[
  axis lines=middle,
  grid=major,
  xmin=-4,
  xmax=4,
  ymin=-4,
  ymax=4,
  xtick={-4,-3,...,4},
  ytick={-4,-3,...,4},
  width=12cm,
  height=12cm,
]
\addplot+[mark=none] function[raw gnuplot] {
      set contour base;
      set cntrparam levels discrete 0.0;
      unset surface;
      set view map;
      set isosamples 500;
      splot ((x/7)^2*sqrt(abs(abs(x)-3)/(abs(x)-3))+(y/3)^2*sqrt(abs(y+3/7*sqrt(33))/(y+3/7*sqrt(33)))-1);
    };
\end{axis}
\end{tikzpicture}

\end{document}