(2013?江苏一模)如图,圆锥的高PO=4,底面半径OB=2,D为PO的中点,E为母线PB的中点,F为底面圆周上一点

2025-05-05 02:41:41
推荐回答(1个)
回答1:

(1)建立如图所示的空间直角坐标系,
则O(0,0,0),B(0,2,0),D(0,0,2),E(0,1,2),P(0,0,4),F(x,y,0).

DE
=(0,1,0),
EF
=(x,y?1,?2)
BD
=(0,?2,2)

DE
EF
,∴
DE
?
EF
=y-1=0,解得y=1.
又∵|
OF
|
=2,