设A(x1,y1),B(x2,y2)抛物线y²=2px的焦点为(p/2,0)则AB的方程为y=x-p/2联立得(x-p/2)²=2px,即4x²-12px+p²=0,即x1+x2=3p,x1x2=p²/4∵AB的倾斜角为45°,且AB=8则|x1-x2|=4√2,即(x1-x2)²...