急!!!LEVEL1(F.5)簡單微積分題目!!

2011-07-24 11:00 am
find the shortest distance from the point P(0,3) to the curve C:y^2=x^2-2THX
更新1:

but answer is 開方13/2!!!!!!!

回答 (2)

2011-07-24 3:36 pm
✔ 最佳答案
find the shortest distance from the point P(0,3) to the curve C:y^2=x^2-2
Sol
d^2=(x-0)^2+(y-3)^2
=x^2+y^2-6y+9
=y^2+2+y^2-6y+9
=2y^2-6y+11
=2(y^2-3y)+11
=2(y^2-3y+9/4)+11-9/2
=2(y-3/2)^2+13/2
When y=3/2
d^2=13/2=26/4shortest distance=√26/2


2011-07-26 9:06 pm
d^2=13/2

d = √(13/2)

001 answer is also right because he means √(26)/2


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