Question

求经过(-3/2,5/2)与(根号3,根号5)两点的椭圆的标准方程

Answer 1

x^2/m^2+y^2/n^2=1

代入

9/(4m^2)+25/(4n^2)=1 (1)

3/m^2+5/n^2=1 (2)

(1)-3/4*(2)

25/(4n^2)-15/(4n^2)=1-3/4

10/(4n^2)=1/4

n^2=10,m^2=6

所以x^2/6+y^2/10=1