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10. 曲面的面积

10. 曲面的面积. 引理. 证. 且一边与 l 平行. 当 A 是矩形 ,. . 则  也 是矩形 , 且. b. 引理成立. A. 一般情况，将 A 分割成 若干个上述类型的小矩形， 对每一个用引理， 然后迭加 再取极限即可。. a. l. . . 证毕. 注 ：这里  即 两平面法矢量的夹角. z. 0. x. y.  i. 10. 曲面的面积. z =f ( x,y ).  A i. P i. （由引理）. ( x i , y i ). D.  i. z. 0. x. y.

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10. 曲面的面积

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  1. 10. 曲面的面积 引理 证 且一边与l平行 当A是矩形,  则 也是矩形, 且 b 引理成立 A 一般情况，将A分割成 若干个上述类型的小矩形， 对每一个用引理， 然后迭加 再取极限即可。 a l   证毕 . 注：这里 即 两平面法矢量的夹角 .

  2. . z 0 x y i 10. 曲面的面积 z =f (x,y)  Ai Pi （由引理） . . (xi, yi) D .

  3. . i z 0 x y 10. 曲面的面积 z =f (x,y)  Ai Pi . . (xi, yi) D .

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