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人们对事物的认识是一个由特殊到一般,再从一般到特殊的认识过程。任何一个事物都是矛盾的特殊性和普遍性、个性和共性的统一体,在解决许多数学问题的过程中,虽然解决特殊问题不是我们的目的,但运用“特殊到一般,再从一般到特殊”的这一辩证规律去进行特殊化的探索,发现一般问题的解法是十分必要的。 (一)对带有省略号的题的探索例1 求1~2,2~2,3~2,…,123456789~2的和的个位数字。(90年全国初中数学竞赛试题)
People’s understanding of things is a process from special to general, and from general to special. Anything is a unity of contradictory particularity and universality, personality, and commonality. While solving many mathematical problems, although solving special problems is not our goal, we use "special to general, then general to special. This dialectical law goes to the exploration of specialization and it is necessary to find a solution to the general problem. (1) Exploratory Example 1 with an ellipsis question Find the ones digits of the sum of 1~2, 2~2, 3~2,..., 123456789~2. (90 National Junior High School Mathematics Contest Questions)