Question

如图,椭圆x^2/a^2+y^2/b^2=1(a>b>0),其顶点构成的四边形面积为4,点e(1,e)在椭圆上,其中e为

Answer 1

四边形面积=4,所以ab = 2

c = 根号（a^2 - b^2)

e = c/a

(1,e)在椭圆上,所有

1/a^2 + (c/a)^2 / b^2 = 1

b^2+c^2 = (ab)^2 = 4

a=2,b=1

椭圆方程x^2 /2 + y^2 = 1