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新课程背景下的“及时定义”型数列创新试题,情境新颖,构思精巧,内涵丰富,既考查学生的阅读理解能力,数学语言转化能力,又考查学生分析问题和解决问题的能力,以及探究能力和创新能力,因此备受命题者青睐.准确理解新定义,紧扣定义探究是解决此类问题的关键所在.一、H数列例1设数列{an}的前n项和为Sn,若对任意正整数n,总存在正整数m,使得Sn=am,则称数列{an}是“H数列”.
In the context of the new curriculum, the “timely definition” series of innovative test questions, new situations, sophisticated design, rich in content, not only to examine students’ reading comprehension, mathematical language conversion ability, but also examine the students ability to analyze and solve problems, and Explore ability and ability of innovation, so it is highly favored by proponents.Analyzing the new definition accurately, the definition of inquiry is the key to solve such problems.First, the H series example 1 set the first n items of the sequence {an} and Sn, If any positive integer n, there is always a positive integer m, so that Sn = am, said the number of columns {an} is “H series ”.