将 pgfplotspointgetcoordinates 与 fillbetween 命令结合使用

Question

我对我的代码的以下奇怪行为感到好奇（参见下面的 MNWE）。如果添加了用于填充函数之间的区域的命令，那么坐标A和乙发生了变化。这对我来说很奇怪，因为我正在使用命令pgfplotspointgetcoordinates获取点 1 和点 2 的正确坐标。发生了什么？

有问题的代码是：

  \addplot[fill=gray,opacity=0.4] 
    fill between[of=gx and fx,soft clip={domain=-1:1}];

并且图形变化太大。图形曲线发生变化，A点和B点的坐标被触碰。

我还发现点坐标受到以下因素的影响：

  enlarge y limits={rel=0.13},
  enlarge x limits={rel=0.07},

微电子工程协会

\documentclass[11pt]{standalone}
\usepackage[usenames,x11names]{xcolor}
\usepackage{pgfplots}
  \pgfplotsset{compat=newest}
  \usepgfplotslibrary{fillbetween}
\usetikzlibrary{intersections}
\usepackage{amsmath}

\begin{document}
  \begin{tikzpicture}[
    thick,scale=0.5, 
    every node/.style={transform shape}
    ]
    \begin{axis}[
      domain = -2:2,
      restrict y to domain=0:4,
      grid = major,   % both
      grid style={line width=.2pt, draw=gray!20},
      major grid style={dashed, line width=.2pt, draw=gray!40},
      minor tick num=5,
      clip = true,
      clip mode=individual,
      axis x line = middle, 
      x axis line style={name path=xaxis}, % https://tex.stackexchange.com/questions/574555/tikz-refer-to-intersection-with-x-axis
      axis y line = middle,
      xlabel={\(x\)},
      ylabel={\(y\)},
      enlarge y limits={rel=0.13},
      enlarge x limits={rel=0.07},
    ]
    
      \addplot[
        name path global=fx,
        color=Gold3, samples=20, 
        smooth, ultra thick, 
        unbounded coords=jump, 
        no markers
      ]  gnuplot{2/(1+x^2)}; 
      
      \addplot[
        name path global=gx,
        color=Coral4, samples=20, 
        smooth, ultra thick, 
        unbounded coords=jump, 
        no markers
      ] gnuplot{x^2};  

      % fill area bounded by two curves
      % https://tex.stackexchange.com/questions/38461/
      \addplot[fill=gray,opacity=0.4] 
        fill between[of=gx and fx,soft clip={domain=-1:1}];

      \path [name intersections={of=fx and gx, name=point}];
      \node (prusecikA) [left,  font=\scriptsize] 
        at (point-1) {
        % -------------------------------------------------------------
        % using '\pgfplotspointgetcoordinates' stores the (axis)
        % coordinates of e.g. the coordinate (point-2) in
        % 'data point', which then can be called by '\pgfkeysvalueof'
          \pgfplotspointgetcoordinates{(point-1)}
          \(A=[
              \pgfmathprintnumber[fixed]{\pgfkeysvalueof{/data point/x}},
              \pgfmathprintnumber[fixed]{\pgfkeysvalueof{/data point/y}}
          ]\)
        };
      \node (prusecikB) [right,  font=\scriptsize] 
        at (point-2) {
          \pgfplotspointgetcoordinates{(point-2)}
          \(B=[
              \pgfmathprintnumber[fixed]{\pgfkeysvalueof{/data point/x}},
              \pgfmathprintnumber[fixed]{\pgfkeysvalueof{/data point/y}}
          ]\)
        };
     

      \draw[dashed] (-1,0) -- (point-1);
      \draw[dashed] (+1,0) -- (point-2);
      \node[below left] at (0,0) {\(0\)};
      \node[left, Gold3] at (1.5,2.3) {\(f(x) = \frac{2}{1-x^2}\)};
      \node[right, Coral4] at (-2,4) {\(g(x) = x^2\)};
      \fill [black] (point-1) circle (1mm);
      \fill [black] (point-2) circle (1mm);
    \end{axis}
  \end{tikzpicture}
\end{document}