讨论y>0的情况:设P1(x1,y1),P2(x1,-y1),y1>0,两只县交点为(x,y)
于是直线A1P1方程为:y=y1(x+3)/(x1+3) (1)
直线A2P2方程为:y=-y1(x-3)/(x1-3)
求交点有y1(x+3)/(x1+3)=-y1(x-3)/(x1-3)
化简得2y1(xx1-9)=0,P1P2为弦,于是y1≠0,于是x1=9/x (2)
又(x1^2)/9+(y1^2)/4=1,于是y1=2sqrt(9-x1^2)/3 (3)
将(2)式、(3)式代入(1)式,化简得y=2sqrt(x^2-9)/3
y