基于tikz可绘制2D、3D图像的宏包。

设置

\pgfplotsset{width=7cm} %设置宽度
\usepgfplotslibrary{polar, colormaps} % polar 极坐标； colormaps 颜色

实例

实例1 3D

点击查看

\documentclass[dvisvgm]{standalone} %生成使用dvisvgm生成SVG，需要配合standalone(文档类使用)
\usepackage{amsmath} %导言区调用amsmath宏包 用于数学符号
\usepackage{tikz} %导言区调用tikz宏包
\usepackage{pgfplots}  % 使用  pgfplots 画函数图更方便,可以绘制 2D 3D 图像
\newcommand{\num}{pi}
\pgfplotsset{compat=1.8}
 % define the plot style and the axis style
\tikzset{elegant/.style={smooth,thick,samples=50,magenta}}
\usetikzlibrary{patterns}

\begin{tikzpicture}
    \begin{axis}[
        title=Example using the mesh parameter,
        hide axis,
        colormap/cool,
    ]
    \addplot3[
        mesh,
        samples=50,
        domain=-8:8,
    ]
    {sin(deg(sqrt(x^2+y^2)))/sqrt(x^2+y^2)};
    \addlegendentry{\(\frac{sin(r)}{r}\)}
    \end{axis}
    \end{tikzpicture}

\end{document}

三角函数

tan cot

点击查看

\documentclass[dvisvgm]{standalone} %生成使用dvisvgm生成SVG，需要配合standalone(文档类使用)
\usepackage{amsmath} %导言区调用amsmath宏包 用于数学符号
\usepackage{tikz} %导言区调用tikz宏包
\usepackage{pgfplots}
\pgfplotsset{compat=1.8}
\begin{document}
\begin{tikzpicture}[scale=1.5]
	\begin{axis}[
			axis lines=middle,
			axis line style={thick,<->},
			xmin=-2*pi-0.5,xmax=2*pi+0.5,ymin=-1.5,ymax=1.5,
			ytick={-1,1},
			xtick={-2*pi,-1.5*pi,-pi,-0.5*pi,0,0.5*pi,pi,1.5*pi,2*pi},
			xticklabels={$-2\pi$,$-\frac{3}{2}\pi$,$-\pi$,$-\frac{1}{2}\pi$,$0$,$+\frac{1}{2}\pi$,$+\pi$,$+\frac{3}{2}\pi$,$+2\pi$},
			tick label style={font=\tiny},
			grid=major,
			major grid style={dashed,very thin,black},
			every axis plot post/.append style={thick},
			label style={font=\tiny},
			xlabel=$x$,
			ylabel=$y$,
			smooth,
			%clip=false,restrict y to domain=-4:4,
			legend style={
					font=\tiny,
					legend cell align=left,
					legend pos=outer north east,
					draw=none,
					empty legend},
			legend entries={[blue]$y=\sin x$,[red]$y=\cos x$}]

	\addplot[domain=-2*pi:2*pi,samples=200,blue]{sin(deg(x))};
	\addplot[domain=-2*pi:2*pi,samples=200,red]{cos(deg(x))};

	\end{axis}
\end{tikzpicture}

\end{document}

tan cot

点击查看

\documentclass[dvisvgm]{standalone} %生成使用dvisvgm生成SVG，需要配合standalone(文档类使用)
\usepackage{amsmath} %导言区调用amsmath宏包 用于数学符号
\usepackage{tikz} %导言区调用tikz宏包
\usepackage{pgfplots}
\pgfplotsset{compat=1.8}
\begin{document}
\begin{tikzpicture}[scale=1.5]
	\begin{axis}[
			axis lines=middle,
			axis line style={thick,<->},
			xmin=-2*pi-0.5,xmax=2*pi+0.5,ymin=-4.5,ymax=4.5,
			ytick={-4,-3,-2,-1,1,2,3,4},
			xtick={-2*pi,-1.5*pi,-pi,-0.5*pi,0,0.5*pi,pi,1.5*pi,2*pi},
			xticklabels={$-2\pi$,$-\frac{3}{2}\pi$,$-\pi$,$-\frac{1}{2}\pi$,$0$,$+\frac{1}{2}\pi$,$+\pi$,$+\frac{3}{2}\pi$,$+2\pi$},
			tick label style={font=\tiny},
			grid=major,
			major grid style={dashed,very thin,black},
			every axis plot post/.append style={thick},
			label style={font=\tiny},
			xlabel=$x$,
			ylabel=$y$,
			smooth,
			%clip=false,restrict y to domain=-4:4,
			legend style={
					font=\tiny,
					legend cell align=left,
					legend pos=outer north east,
					draw=none,
					empty legend},
			legend entries={[red]$y=\tan x$,[blue]$y=\cot x$}]

	\addplot[domain=-2  *pi:-1.5*pi,samples=200,red]{tan(deg(x))};
	\addplot[domain=-1.5*pi:-0.5*pi,samples=200,red]{tan(deg(x))};
	\addplot[domain=-0.5*pi: 0.5*pi,samples=200,red]{tan(deg(x))};
	\addplot[domain= 0.5*pi: 1.5*pi,samples=200,red]{tan(deg(x))};
	\addplot[domain= 1.5*pi: 2  *pi,samples=200,red]{tan(deg(x))};

    \addplot[domain=-2  *pi:    -pi,samples=200,blue]{cot(deg(x))};
	\addplot[domain=    -pi:      0,samples=200,blue]{cot(deg(x))};
	\addplot[domain=      0:     pi,samples=200,blue]{cot(deg(x))};
	\addplot[domain=     pi:   2*pi,samples=200,blue]{cot(deg(x))};
	\end{axis}
\end{tikzpicture}

\end{document}

sec csc

点击查看

\documentclass[dvisvgm]{standalone} %生成使用dvisvgm生成SVG，需要配合standalone(文档类使用)
\usepackage{amsmath} %导言区调用amsmath宏包 用于数学符号
\usepackage{tikz} %导言区调用tikz宏包
\usepackage{pgfplots}
\pgfplotsset{compat=1.8}
\begin{document}
\begin{tikzpicture}[scale = 1.5]
	\begin{axis}[
			axis lines=middle,
			axis line style={thick,<->},
			xmin=-2*pi-0.5,xmax=2*pi+0.5,ymin=-4.5,ymax=4.5,
			ytick={-4,-3,-2,-1,1,2,3,4},
			xtick={-2*pi,-1.5*pi,-pi,-0.5*pi,0,0.5*pi,pi,1.5*pi,2*pi},
			xticklabels={$-2\pi$,$-\frac{3}{2}\pi$,$-\pi$,$-\frac{1}{2}\pi$,$0$,$+\frac{1}{2}\pi$,$+\pi$,$+\frac{3}{2}\pi$,$+2\pi$},
			tick label style={font=\tiny},
			label style={font=\tiny},
			grid=major,
			major grid style={dashed,very thin,black},
			every axis plot post/.append style={semithick},
			xlabel=$x$,
			ylabel=$y$,
			smooth,
			%clip=false,restrict y to domain=-4:4,
			legend style={
					font=\tiny,
					legend cell align=left,
					legend pos=outer north east,
					draw=none,
					empty legend},
			legend entries={[blue]$y=\csc x$,[red]$y=\sec x$}
			]

	\addplot[domain=-2  *pi:   -pi,samples=200,blue]{cosec(deg(x))};
	\addplot[domain=    -pi:     0,samples=200,blue]{cosec(deg(x))};
	\addplot[domain=      0:    pi,samples=200,blue]{cosec(deg(x))};
	\addplot[domain=     pi:  2*pi,samples=200,blue]{cosec(deg(x))};

	\addplot[domain=-2  *pi:-1.5*pi,samples=200,red]{sec(deg(x))};
	\addplot[domain=-1.5*pi:-0.5*pi,samples=200,red]{sec(deg(x))};
	\addplot[domain=-0.5*pi: 0.5*pi,samples=200,red]{sec(deg(x))};
	\addplot[domain= 0.5*pi: 1.5*pi,samples=200,red]{sec(deg(x))};
	\addplot[domain= 1.5*pi: 2  *pi,samples=200,red]{sec(deg(x))};
	\end{axis}
\end{tikzpicture}

\end{document}