对高考试题的探索是一件耐人寻味的事情,或一题多解,从考查学生知识与能力的角度,开发试题的教学功效;或追根索源,寻找命题的背景材料,追踪命题人思想的足迹;或变式推广,从特殊到一般、从一题到一类,发掘藏在试题中的更多优美性质·笔者研究发现,2006年湖北省高考数学第20题是 The exploration of high test questions is an intriguing thing, or a solution to the problem, from the point of view of students’ knowledge and ability to develop the teaching effectiveness of the questions; or to trace the root cause, find the background material of the propositions, trace the proposition of people’s thought footprints ; Or variant promotion, from the special to the general, from a question to a class, to explore more graceful nature hidden in the test. The author research found that the 2006 college entrance examination mathematics question 20 is