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数表是把一些数字(或符号)按照一定的规律排列的一张表。数表问题常常出现在国内外数学竞赛和联赛中,用构造数表的方法处理这些问题,直观明了,别具一格。本文就有关问题进行分析和求解,来探索数表问题的求解思路和数表方法的一些应用。1数表问题的解法数表问题可分为显性和隐性两类,其中在显性数表问题中,数表中的规律比较明显,通过观察即可发现,再进行推理或计算,问题就可获解。例1 n~2(n≥4)个正数排成n行n列数表(数表1),其中每一行的数成等差数列,每一列的数成等比
A meter is a list of numbers (or symbols) arranged according to a certain rule. Table problems often appear in the domestic and foreign mathematics competitions and leagues, with the method of constructing the number of tables to deal with these issues, intuitive and clear, unique. This article analyzes and solves the related problems to explore some solutions to the problem of digital watches and some applications of the number table method. A solution to the problem of the number table The number of tables problem can be divided into two types of dominant and recessive, which in the dominant number table problem, the law of the table is more obvious, you can find by observation, and then inference or calculation, the problem Can be solved. Example 1 n ~ 2 (n ≥ 4) are arranged in n rows and n columns (Table 1), in which the number of each row into the arithmetic sequence, the number of each column into an equal ratio