椭圆的标准方程x^2/a^2+y^2/b^2=1,(√3,√3/2)代入得3/a^2+3/4b^2=1.(1)
e=c/a=1/2.(2)
a^2-b^2=c^2.(3)
由123式得a^2=4,b^2=3.
椭圆的标准方程为x^2/4+y^2/3=1