(1)设p(x,y)则PA斜率为y/(x+根号2),PB斜率为y/(x-根号2)因此y^2/(x^2-2)=-0.5即p轨迹方程为x^2+2y^2=2(2)由y=kx+1和x^2+2y^2=2联立解得x1=0,y1=1或者x2=-4k/(2k^2+1),y2=(-2k^2+1)/(2k^2+1)代入mn长度公式d^2=(x1-x2)^2+(y1-y2)^2解得k=正负根号2有不懂可以追问