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研习2013年各地中考试卷发现,一类隐含着迭代思想的规律探究问题,这类考题由于限时完成,往往需要将思考的问题情况规定在有限情形下,解后如果将问题向一般方向拓展思考,运用迭代法就能把问题通向远方.下面让我们先从2013年福州卷第22题说起.例(2013年福州市中考第22题)我们知道,经过原点的抛物线的解析式可以是y=ax2+bx(a≠0).(1)对于这样的抛物线:当顶点坐标为(1,1)时,a=______;当顶点坐标为(m,m),m≠0时,a与m之间的关系式
Studying the examination papers around the country in 2013 found that there is a law inquiry question that implies iterative thinking. Since such questions are completed in a limited time, they often need to specify the problems under consideration in limited circumstances, and if they expand the problem afterwards, they should expand their thinking in the general direction. Using the iterative method can lead the problem to a distant place. Let’s start with the 22nd title of Fuzhou Volume 2013. Examples (2013 Fuzhou City Entrance Exam Question 22) We know that the analytical formula of the parabola through the origin can be y=ax2+bx(a≠0). (1) For a parabola: when the vertex coordinates are (1,1), a=______; when the vertex coordinates is (m,m), m≠0, a Relationship between m and m