: : 4

: : PTT :

:

PEPLEQQ(a,b)LQPLca,b,cPPELPOEz

: t

LE

:

LL (5+2t, -3-2t , 1+t)

E 3(5+2t)-(-3-2t)-4(1+t)-2=0 4t+12=0 t = -3 LE (- 1 , 3 ,-2)

: t A L

:

L

, ,

(Cylindrical and spherical coordinates)(Cylindrical coordinates) P (r,, z) 1. (r,) P xy- 2. z z

(r,, z) = (4, 5/6, 3)

:

(Spherical coordinates) P (, ,f) 1. P 0

2. P xy-

3. f z 0 ff 0 rhof phi

(Spherical coordinates)

r 0

r 0

a. x2 + y2 = z2 b. x2 + y2 + z2 4z = 0a. x, y z

f=/4 f= 3/4

b. 2 = x2 + y2 + z2 z =cosf

= 0

= 0 = 0, f=/2= 4 cosf

()http://ecewww.niu.edu.tw/lyhsu/post/..%5Cdatabase%5Cgrade%5C%E9%82%B1%E5%BB%BA%E6%96%87%5CCH11.7-english.ppthttp://math1.ck.tp.edu.tw/%E9%99%B3%E5%98%AF%E8%99%8E/%E5%B0%8F%E8%99%8E/99%E8%AA%B2%E7%B6%B1/%E7%AC%AC%E5%9B%9B%E5%86%8A/%E8%AA%B2%E6%9C%AC%E7%BF%92%E9%A1%8C/%E6%95%B8%E5%AD%B84_2-2%E7%A9%BA%E9%96%93%E4%B8%AD%E7%9A%84%E7%9B%B4%E7%B7%9A%E6%96%B9%E7%A8%8B%E5%BC%8F(%E8%AA%B2%E6%9C%AC%E9%A1%8C).dochttp://math1.ck.tp.edu.tw/%E6%9E%97%E4%BF%A1%E5%AE%89/%E5%AD%B8%E8%A1%93%E7%A0%94%E7%A9%B6/%E4%B8%8A%E8%AA%B2%E8%AC%9B%E7%BE%A9/%E7%AC%AC%E4%B8%89%E5%86%8A/2-2%E7%A9%BA%E9%96%93%E5%90%91%E9%87%8F.pdf