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2003年全国高考数学(理科)卷第22题是一道“数表题”.对于数表问题,在前些年的高考试卷中从未出现过,对绝大多数同学来说,题型是陌生的.又因这类题目不仅考查学生对等差(等比)数列的通项、前 n 项和等基础知识的掌握程度,往往还对学生的观察能力、归纳能力、探索能力、合情推理能力、创造能力及直觉思维提出了较高的要求,考查学生的思维灵活性,敏捷性.一般来说,题目综合性强.因此,不少同学在具体解题中感到困难多多.为了方便广大同学更好地复习、掌握,笔者特整理了几个例题如下,供师生参考.一、给出数表,求某个数的位置,某个位置上的数或某组数的和、通项等等.这是数表问题的一种主要形式.通过观察,寻找出
In 2003, the 22nd title of the national mathematics (science) volume was a “number table question”. The question of the number table had never appeared in the high test papers of previous years. For most students, the question type This is not only unfamiliar, but also because such questions not only examine students’ mastery of general terms, top n items, and other basic knowledge of equal-difference (numerical) series, but also often show students’ observation ability, induction ability, exploration ability, and cooperation. The reasoning ability, creative ability and intuitive thinking put forward higher requirements to examine students’ thinking flexibility and agility. In general, the comprehensiveness of the subject is strong. Therefore, many students find it difficult to solve specific problems. To facilitate the students to better review, master, the author special finishing a few examples as follows, for reference of teachers and students. First, given the number of tables, the position of a number, the number of a certain position or the number of groups and , general term and so on. This is a major form of the problem of numbers. Through observation, find out