Question

已知椭圆x2/a2+y2/b2=1(a>b>0)的离心率为二分之根号二,短轴的一个端点为M(0.1),直线l：kx-1/

Answer 1

= 1,c^2 = 1/2 a^2,a^2 - b^2 = c^2 = 1/2 a^2,a^2 = 2b^2,a = 根号（2）

x^2 / 2 + y^2 = 1

x^2 / 2 + (kx-1/3)^2 = 1

A(x1,y1),B(x2,y2)

(x1-x2)^2 + (y1-y2)^2 = (4根号（26）/9）^2

k = +/-1