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题目长度a(a≥1)的线段AB的两端在y=x2上滑动,求AB的中点M距x轴最近的点的坐标.这是1987年全国高考压轴题,是一道极其经典的题目.这道题难度很大,是福建省1980年省质检题,许多考生平时做过,老师也讲评过,即使是优秀生,仍然无从下手.当时给的参考答案也比较复杂(参见解法一),后来逐渐有了解法二、解法三.特别是解法三,利用抛物线定义和三角形边长性质,平几和解几结合,解题十分巧妙简洁,堪称是经典之经典.但解法二和解法三都有一个共同的
Topic length a (a â ‰ ¤ 1) at both ends of the line AB sliding on y = x2, find the midpoint of the distance from the x-axis AB M nearest point. This is the 1987 National Fibrillation, is a very classic Topic .This question is very difficult, is the province of Fujian Province in 1980QuestionQuestion, many candidates usually did, the teacher also comment on, even the best students, still can not start .At that time to the reference answer is also more complicated (see solution A), then gradually understand the method two, solution three. In particular, the solution three, the use of parabolic definition and the triangular side of the nature of the number of a few conciliatory solution, the problem is very clever concise, called the classic classics.But the solution and Solution Three has one thing in common