∵ FA +2 FB =0,∴直线经过焦点F(1,0),设A(x1,y1),B(x2,y2)(x1>x2).设直线AB的方程为:y=k(x-1).联立 y=k(x?1) y2=4x ,化为k2x2-(2k2+4)x+k2=0,则x1+x2= 2k2+4 k2 ,x1x2=1.∵ FA +2 FB =0,∴x1-1+2(x2-1)=0.联立