In order to solve the elliptic standard equation, there are two cases in which two points are selected as the focus from these four points:
1) focusing on (soil 2,0), c=2,
2a=√ 13+√5，a=(√ 13+√5)/2，
b^2=a^2-c^2=(9+√65)/2-4=( 1+√65)/2，
The standard equation of ellipse is x 2/[(9+√ 65)/2]+y 2/[(1+√ 65)/2] =1.
2) Focus on (0, soil √3), c=√3,
2a=√(8+4√3)+√(8-4√3)，a=√(2+√3)+√(2-√3)，
a^2=6,b^2=a^2-c^2=3，
The standard equation of ellipse is y 2/6+x 2/3 =1.