_1074248725.unknown
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EMBED Equation.3
_903600166.unknown
_1074249208.unknown
_1074249218.unknown
_903600020.unknown
EMBED Equation.3
_903600166.unknown
_1074249208.unknown
_1074249218.unknown
_903600020.unknown
,
5
.
_903601909.unknown
_994775860.unknown
_1074249487.unknown
_1074249489.unknown
_1074249490.unknown
_1074249491.unknown
_1074249488.unknown
_994775882.unknown
_994776028.unknown
_994775868.unknown
_994775842.unknown
_994775850.unknown
_903601931.unknown
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_903601779.unknown
_903602049.unknown
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_1074251356.unknown
_903601856.unknown
,
_903602107.unknown
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_903602082.unknown
,
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_903602147.unknown
T : x = x(u, v, w), y = y(u, v, w), z = z(u, v, w) uvw uvw xyz
xyz , 1) x=x(u, v, w), y= y(u, v, w), z=z(u, v, w)C1(uvw)
5. .:
2) 0, (u, v, w)uvw f (u, v, w)R(),
(5),
M (x, y, z) (r, , z)()x = r cos y = r sin z = z
z r =, z =, z z =, z .
= r
,, r z :r1( ) r2( ),z1(r, ) z2 (r , )). ,
6.: , xy D :, z = z.
*
7.: xy D : x2 + y2, , z = z.
*
9. x2+y2=2x,, xy , V: , x = rcos y = rsin z = z z = r: r =
2cos
, V1, V=2V1. xy D:D={(x, y)|x2+y22x}.,1()1*:
11. : ,
, D D* :
M (x, y, z) (r, , ) ()
x = r sin cos y = r sin sin z = r cos r = , o = , z = , , z
.
r , , . x2 + y2 + z2 = r2
8. , .: . r = a, ,
(.)
9. z = 0.:
10. V.: yzxzxy1V1
. : (1)
xoy + z
zr z r
6 (1) (2) zr xoy (r, )D z
(r, )D z
xoy
6
.
_1074282386.unknown
_1074282398.unknown
_1074282412.unknown
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(r, )D z
7 xoy (r, )D z
(r, )D z
r r
8 r (1) xoy
9 xoy
10
.
_1080067327.unknown
_1080067336.unknown
_1009696636.unknown
_1080067432.unknown
_903685900.unknown
P251: 123, 4, 5.
