(1)由题意知a-c,2c,a+c成等比数列,∴(2c)2=(a+c)(a-c),解得e= c a = 5 5 ,(2)由e= c a = 5 5 ,椭圆过点(0,2),∴b=2,解得a= 5 ,c=1,设P(x0,y0),由题意lPA:y= y0 x0+ 5 (x+ 5 ),直线lPB:y= y0 x0? 5 (x?