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微分 几何

微分 几何. 微分 几何. 柱面. 一般 柱面 F ( x,y ) = 0. z. ( x,y,z ). M. 母线. 0. y. F ( x,y ) = 0. z = 0. x. 准线. F ( x,y ) = 0 表示母线平行于 z 轴的柱面. ( 不含 z ). 曲面 S 上每一点都满足方程；. S. ( x , y , 0). N. 点 N 满足方程，故 点 M 满足方程. 曲面 S 外的每一点都不满足方程. 一般 柱面 F ( y, z ) = 0. F ( y, z ) = 0. 准线. z. x = 0. 母线.

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微分 几何

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  1. 微分几何

  2. 微分几何 柱面

  3. 一般柱面F(x,y)=0 z (x,y,z) M 母线 0 y F( x,y )=0 z= 0 x 准线 F(x,y)=0表示母线平行于z轴的柱面 (不含z) 曲面S上每一点都满足方程； S (x, y, 0) N 点N满足方程，故点M满足方程 曲面S外的每一点都不满足方程

  4. 一般柱面F(y, z)=0 F( y, z )=0 准线 z x = 0 母线 0 y x (不含x) F(y,z)=0表示母线平行于x轴的柱面

  5. 特殊柱面－－椭圆柱面 z o y x b a

  6. 特殊柱面－－双曲柱面 z y = 0 x o y

  7. 特殊柱面－－抛物柱面 z y o x

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