a>b>0
椭圆x^2/a^2+y^2/b^2=1
e=√3/2=c/a
c^2=3a^2/4=a^2-b^2
a^2=4b^2
点A(0,3/2)与椭圆的最大距离为√7
3/2-(-b)=√7
b=√7-(3/2)
b^2=9.25-3√7
a^2=4*(9.25-3√7)=37-12√7
椭圆的方程:x^2/(37-12√7)+y^2/(9.25-3√7)=1
a>b>0
椭圆x^2/a^2+y^2/b^2=1
e=√3/2=c/a
c^2=3a^2/4=a^2-b^2
a^2=4b^2
点A(0,3/2)与椭圆的最大距离为√7
3/2-(-b)=√7
b=√7-(3/2)
b^2=9.25-3√7
a^2=4*(9.25-3√7)=37-12√7
椭圆的方程:x^2/(37-12√7)+y^2/(9.25-3√7)=1