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为什么我得到的矢量场不垂直于切线？

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为什么我得到的矢量场不垂直于切线？

我想知道为什么我得到的矢量场不垂直于切线？

我得到了什么

begin{tikzpicture}
\begin{axis}[view={0}{90},ymin = 0,ymax = 3, domain=-5:5,xticklabels=\empty, yticklabels=\empty]
\addplot3 [blue,-stealth,samples=16, domain=-5:5,
        quiver={
            u={2*x*y},
            v={x^2},
            scale arrows=0.1,
        },
    ] {1}; % use pow(x^2 + y^2,1/2) if you choose to have a real 3D plot
\addplot[purple, thick, domain=-5:5, samples=40]{3/(x^2)};
\end{axis}
\end{tikzpicture}

非常感谢！！！

答案1

这样就体现出了【轴相等】的效果。

演示

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

\begin{tikzpicture}
\begin{axis}[view={0}{90}, axis equal,ymin = 0,ymax = 3, domain=-5:5,xticklabels=\empty, yticklabels=\empty]
\addplot3 [blue,-stealth,samples=16, domain=-5:5,
        quiver={
            u={2*x*y},
            v={x^2},
            scale arrows=0.1,
        },
    ] {1}; % use pow(x^2 + y^2,1/2) if you choose to have a real 3D plot
\addplot[purple, thick, domain=-5:5, samples=40]{3/(x^2)};
\end{axis}
\end{tikzpicture}

\end{document}

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