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F = xe^y-z, Fx = e^y, Fy = xe^y, Fz = -1;
G = y-1, Gx = 0, Gy = 1, Gz = 0 ;
在 x = 1, y = 1,z = e 处,
n1 = (Fx , Fy , Fz) = (e, e, -1)
n2 = (Gx , Gy , Gz) = (0, 1, 0)
n = n1×n2 =
| i j k|
|e e -1|
|0 1 0|
= i+ek = (1, 0 e)
切线方程 (x-1)/1 = (y-1)/0 = (z-e)/e
G = y-1, Gx = 0, Gy = 1, Gz = 0 ;
在 x = 1, y = 1,z = e 处,
n1 = (Fx , Fy , Fz) = (e, e, -1)
n2 = (Gx , Gy , Gz) = (0, 1, 0)
n = n1×n2 =
| i j k|
|e e -1|
|0 1 0|
= i+ek = (1, 0 e)
切线方程 (x-1)/1 = (y-1)/0 = (z-e)/e
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