documentclass[UTF8,a1paper,landscape]{ctexart} usepackage{tikz} usepackage{amsmath} usepackage{amssymb} usepackage{geometry} geometry{top=5cm,bottom=5cm,left=5cm,right=5cm} usepackage{fancyhdr} pagestyle{fancy} egin{document} itle{Huge 解析几何图解} author{dengchaohai} maketitle ewpage egin{center} egin{tikzpicture} [r/.style={rectangle,black,draw,align=left,rounded corners=.8ex}] ode(1)at (-20,0)[r]{1标架$egin{cases} ext{一维} & ext{数轴}\ ext{二维} & egin{cases} ext{直坐标系}\ ext{极坐标系} end{cases}\ ext{三维} & egin{cases} ext{直坐标系}\ ext{极坐标系} & egin{cases} ext{球坐标系}\ ext{柱坐标系} end{cases} end{cases} end{cases}$ }; ode(2)at (0,10)[r]{2标量$$}; ode(3)at (0,-10)[r]{3向量$$}; ode(4)at (20,5)[r]{4坐标$P(x,y,z)$egin{tabular}{|c|c|c|c|c|} hline & 向量 & & 二向量 & 三向量 abularnewline hline 加法 & $(x_{1},y_{1},z_{1})+(x_{2},y_{2},z_{2})=(x_{1}+x_{2},y_{1}+y_{2},z_{1}+z_{2})$ & 点乘 & $(x_{1},y_{1},z_{1})cdot(x_{2},y_{2},z_{2})=x_{1}x_{2}+y_{1}y_{2}+z_{1}z_{2}$ & $(x_{1},y_{1},z_{1}) imes(x_{2},y_{2},z_{2})cdot(x_{3},y_{3},z_{3})=egin{vmatrix} x_{1} & y_{1} & z_{1}\ x_{2} & y_{2} & z_{2}\ x_{3} & y_{3} & z_{3} end{vmatrix}$ abularnewline hline 数乘 & $lambda(x,y,z)=(lambda x,lambda y,lambda z)$ & 叉乘 & $(x_{1},y_{1},z_{1}) imes(x_{2},y_{2},z_{2})=egin{vmatrix}i & j & k\ x_{1} & y_{1} & z_{1}\ x_{2} & y_{2} & z_{2} end{vmatrix}$ & abularnewline hline end{tabular}}; ode(5)at (20,-5)[r]{5向径$vec{r}{X,Y,Z}$egin{tabular}{|c|c|c|c|c|} hline & 向量 & & 二向量 & 三向量 abularnewline hline 加法 & $vec{a}+vec{b}$ & 点乘 & $vec{a}cdotvec{b}$ & $vec{a} imesvec{b}cdotvec{c}$ abularnewline hline 数乘 & $lambdavec{a}$ & 叉乘 & $vec{a} imesvec{b}$ & $vec{a} imesvec{b} imesvec{c}$ abularnewline hline end{tabular}}; ode(6)at (10,0)[r]{6轨迹$egin{cases} ext{点}\ ext{线}\ ext{面}\ ext{体}end{cases}$}; ode(7)at (30,0)[r]{7方程$egin{cases} ext{坐标式}\ ext{向径式}end{cases}$}; draw(1)--(2) (1)--(3) (4)--(6) (5)--(6) (6)--(7) (-10,5)--(4) (-10,-5)--(5); end{tikzpicture} end{center} ewpage egin{center} end{center} end{document}