(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H
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d((x0, y0, z0), P) = |x0+y0−z0+3| √<br />
12 +12 +(−1) 2<br />
= |3|<br />
√ 3 = 3<br />
√ 3 = √ 3<br />
£¢ (x0, y0, z0) = (1, −1, 0) P ¡<br />
(x, y, z) = (2, 0, 0) + λ(−2, 1, 0) + µ(2, 0, −1), λ, µ ∈ IR<br />
¡ ¨ P ¢ <br />
<br />
<br />
P R d(P, P) = 1<br />
R x = y +1<br />
z = −y −1 <br />
<br />
¨¥ ¨ P ¢ <br />
<br />
(x, y, z) = (2, 0, 0) + λ(−2, 1, 0) + µ(2, 0, −1), λ, µ ∈ IR<br />
A = (2, 0, 0) P w = (−2, 1, 0) ×<br />
£¢<br />
(2, 0, −1) = (−1, −2, −2) ¡ <br />
<br />
P = (x, y, z)<br />
¡<br />
P<br />
d(P, P) =<br />
¦ PR<br />
|w| −→<br />
AP|<br />
√<br />
12 +(−2) 2 +(−2) 2<br />
= |(x−2)×(−1)−2y−2z|<br />
√ 9<br />
= |−x−2y−2z+2|<br />
3<br />
= (x, y, z) R <br />
x = y 1 + z = −y 1£¢ −<br />
d(PR, P) = |−x−2y−2z+2|<br />
= 3<br />
|−(y+1)−2y−2(−y−1)+2|<br />
3<br />
<br />
<br />
d(PR, P) = 1 ⇐⇒ |y−3|<br />
3<br />
= |y−3|<br />
3<br />
= 1 ⇐⇒ |y − 3| = 3<br />
⇐⇒ y − 3 = 3 y − 3 = −3<br />
⇐⇒ y = 6 y = 0<br />
⎧<br />
⎪⎨<br />
(7, 6, −7)<br />
PR = (y + 1, <br />
y, −y − 1) =<br />
⎪⎩<br />
(1, 0, −1)<br />
137