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题目 :已知椭圆ｘ22 +ｙ2 =1的右准线Ｌ和ｘ轴相交于点Ｅ ,过椭圆右焦点Ｆ作直线与椭圆相交于Ａ ,Ｂ两点 ,点Ｃ在椭圆右准线上 ,且ＢＣ∥ｘ轴 ,求证直线ＡＣ经过线段ＥＦ的中点 .这是 2 0 0 1年高考广东、河南卷中的一道考题 ,从其几何证法不难发现 :结论与椭圆方程以及椭圆离
Title: It is known that the right direction line L of the ellipse x22 + y2 =1 and the x axis intersect at the point E. The right ellipse right focus point F intersects the ellipse at A and B, and the point C is at the right collimation line of the ellipse. BC ∥ x axis, confirm the line AC through the midpoint of the line segment EF. This is a question in the Guangdong and Henan volumes in the 2001 college entrance exam. It is not difficult to find from its geometrical proof: Conclusion and ellipse equation and ellipse separation