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⑥对ⅹ求偏导, ao x-2 rsin Osn cos2d、ax r*cos o rsin 6 o ao sin (9) Ox rsin e 将((8(0代(4,:0snOe}× cos Coso a sIn p (10) a8 rsin 0 ao 类似地.O(O-)(00(0)0 yor(oy)ae(ay丿a ar 2r =2y=2rsin Osin =Sin 0 sin P ( 12) 061 sin e x(x+y2+22)-2(2y)=-rcos 0 rsin Osin or-3 costin (13 1 ap ao cos cos o ay x rsin cosy Oy rsin e (14) =Sin Osin o+ a cos sin a coso a 5) OI a0 rsin 0 ao⑥对x求偏导,          2 2 2 2 2 2 sin cos sin sin cos sin sin cos 1 r r r yx x  = − = − = −        − (9) sin sin    x r = −    将(7)(8)(9)代入(4),得: (10) sin cos cos sin sin cos           −   +   =   x r r r (11)                 +             +             =   y r y y r y 类似地: 2 2y 2rsin  sin  y r r = =   = sin  sin  (12)   y r 2 2 2 3/ 2 3 ( ) (2 ) cos sin sin 2 1 sin − − = − + + = −     − z x y z y r r r y      (13) cos sin y r    =       sin cos 1 1 cos 1 2 y x r = =   (14) sin cos    y r =   (15) sin cos sin cos sin sin           +   +   =   y r r r
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