设椭圆方程为:
x^2/a^2+y^2/b^2=1
有:
1/a^2+9/4b^2=1
a^2=b^2+c^2=b^2+1
解得
b^2=3,a^2=4
所以
椭圆方程为:
x^2/4+y^2/3=1