圆C:(x-3)2+(y-4)2=4,若点P是圆C外的一个动点,过P做圆C的切线,设切点分别为E、F设 |PE| =x,∠EPC=α则:cosα= x x2+2 cos∠EPF= x2?2 x2+2 PF ? PE =| PE |?| PF |cos2α=x2? x2?2 x2+2 =(x2+2)+ 8 x2+2 ?6≥4 2 -6