2006年高考湖北卷第20题形式上是一道纯解析几何题.但它确是一道独具匠心的佳题.一方面,它以解析几何中的椭圆为载体,考查对知识、方法的理解和应用,只要能准确把握知识的本质,就能选用恰当的数学工具,得到简捷的解题方案;另一方面,让学生在自主探索中认识和理解解析几何与向量 The 2006 issue of Hubei University Entrance Examination Paper 20 is a purely analytical geometry problem. However, it is indeed a novelty problem. On the one hand, it uses the ellipse in analytical geometry as a vector to examine the understanding and application of knowledge and methods. As long as we can accurately grasp the nature of knowledge, we can use appropriate mathematical tools to get a simple solution to problems; on the other hand, let students understand and understand analytical geometry and vectors in autonomous exploration.