绘制 3D 参数曲线

Question

我正在尝试使用代码绘制 3D 曲线 $x=e^(t)*cos(t),y=e^(t)*sin(t),z=e^(t)$，$t\in[0,1]$

\documentclass[tikz, border=2mm]{amsbook}
\usepackage{pgfplots}
\pgfplotsset{compat=1.4}

\begin{document}

\begin{figure}[h]
 \begin{tikzpicture}
        \begin{axis}
        [view={60}{30},axis lines=center,axis on top,
        xlabel=$x$,ylabel=$y$,zlabel=$z$, xtick={2},ytick={2},ztick={2},no marks,axis equal,xmin=-1,xmax=4,ymin=-1,ymax=4,zmin=-1,zmax=4,enlargelimits={upper=0.1}]
             \addplot3+[no markers,samples=200, domain=0:1,variable=t]({exp(t)*cos(t)},{exp(t)*sin(t)},{exp(t)});
        \end{axis}

 \end{tikzpicture}
\end{figure}

\end{document} 

什么都没绘制出来。我该如何修复这个问题？

Answer 1

首先，我认为您打算将其用作standalone类。然后变量名应该是一个宏。此外，三角函数接受以度为单位的参数。因此，您需要提到它们以弧度为单位，并附加一个r。要删除与初始点的最终连接，您可以添加samples y=0，例如对于-pi:pi您获得的域

\addplot3+[no markers,samples=51, samples y=0,domain=-pi:pi,variable=\t]
                                      ({exp(\t)*cos(\t r)},{exp(\t)*sin(\t r)},{exp(\t)});

完整代码

\documentclass{article}
\usepackage{pgfplots}
\pgfplotsset{compat=1.15}
\begin{document}
\begin{tikzpicture}
   \begin{axis}[view={60}{30},
                axis lines=center,axis on top,
                xlabel=$x$,ylabel=$y$,zlabel=$z$,
                xtick={2},ytick={2},ztick={2},
                no marks,axis equal,
                xmin=-1,xmax=4,ymin=-1,ymax=4,zmin=-1,zmax=4,
                enlargelimits={upper=0.1}]
     \addplot3+[no markers,samples=51, samples y=0,domain=-pi:pi,variable=\t]
                                      ({exp(\t)*cos(\t r)},{exp(\t)*sin(\t r)},{exp(\t)});
  \end{axis}
\end{tikzpicture}
\end{document}