2014年南京盐城两地高三联合调研考试的第18题是一道很优秀的试题,但是美中不足的是,命题组给出的答案不具一般性,本文给出该问题的一个拓广形式.问题:(2014年南京盐城高三数学第一次调研第18题)在平面直角坐标系xOy中,已知过点(1,32)的椭圆C:x2a2+y2b2=1(a>b>0)的右焦点为F(1,0),过焦点F且与x轴不重合的直线与椭圆C交于A,B两点,点B关于坐标原点的 The 18th question in the joint research examinations of Nanjing, Yancheng and Nanjing in 2014 is a very good test question, but the fly in the ointment is that the answer given by the proposition group is not general and this article gives an extended form of the question. In the plane Cartesian coordinate system xOy, the right focus of an oval C: x2a2 + y2b2 = 1 (a> b> 0) that is known to have a point (1,32) F (1,0), the focus F and the x-axis does not coincide with the straight line and the ellipse C at A, B two points, B on the coordinates of the origin