• 解析几何图解


    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}
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  • 原文地址:https://www.cnblogs.com/blog-3123958139/p/5726421.html
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