标准方程为:y^2=2px,AB=4得2p=4=a则:y^2=4x与y=√3(x-2)解联立方程,得x1=6,x2=2/3,得y1=2√6,y2=-2√(2/3).
所以:a=4,A(2/3,-2√(2/3)),B(6,2√6)