(Ⅰ)由已知|AB|=
|BF|,
5
2
即
=
a2+b2
a,4a2+4b2=5a2,4a2+4(a2-c2)=5a2,∴e=
5
2
=c a
.…(5分)
3
2
(Ⅱ)由(Ⅰ)知a2=4b2,∴椭圆C:
+x2 4b2
=1.y2 b2
设P(x1,y1),Q(x2,y2),
直线l的方程为y-2=2(x-0),即2x-y+2=0.
由
2x?y+2=0
+x2 4b2
y