《高等数学（专升本）》 - 西交网校 - 西交网校

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一、平面的点法式方程
设一平面通过已知点 Mo(xo,yo,zo)且垂直于非零向
量n=(A,B,C),求该平面Π的方程 Z
n
任取点M(x,y,z)Π,则有
MoMIn TI
故 MM.n=0
M=(x-xo,y-yo;z-zo)
A(x-xo)+B(y-yo)+C(z-zo)=0 ①
称①式为平面Π的点法式方程，称n为平面 Ⅱ的法向量,

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122030243810014 · 2022-04-08 · 第49讲 0