Question

椭圆两个焦点坐标分别为F1(-根号3,0)(根号3,0),且椭圆过(1,-根号3/2)

Answer 1

AM AN =(x1+2,y1)(x2+2,y2)

=x1x2+2(x1+x2)+y1y2+4

M,N均在直线x=ky-6/5上,则：

x1=ky1-6/5

x2=ky2-6/5

可得：x1x2=k²y1y2-(6/5)k(y1+y2)+36/25

x1+x2=k(y1+y2)-12/5

所以,AM AN=x1x2+2(x1+x2)+y1y2+4

=(k²+1)y1y2+(4/5)k(y1+y2)+16/25

ps：你4/5后面漏了一个k