焦点F1(2根6,0),F2(-2根6,0)
PF1^2=44-8根30,PF2^2=44+8根30
PF1^2+PF2^2=88,(PF1*PF2)^2=44^2-64*30=16,PF1*PF2=4
如果你求的是椭圆的话
(PF1+PF2)^2=(PF1^2+PF2^2+2PF1*PF2=88+8=96
PF1+PF2=6根6=2a,2c=4根6
所求为:x^2/54+y^2=30=1
如果你求的是双曲线的话.
(PF1-PF2)^2=PF1^2+PF2^2-2PF1*PF2=88-8=80
2a=4根5,2c=4根6
所求为:x^2/20-y^2/4=1