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我遇到这样一道思考题:先计算,再观察每组算式的得数,能发现什么规律?根据发现的规律再写几组这样的算式。我当时发现的规律是:分子是1的两个分数,它们的差等于它们的积。根据规律我很快写出几组算式:当我验证时:发现“”和“”这两组不符合上面发现的规律。这引起了我的思考:分子为1,但分母不是相邻的自然数的两个分数相减也有规律吗?我想一探究竟,又写了这样几组算式:分子都为1,分母分别相差2、3、4的分数相减。
I encountered such a question of thinking: first calculate, and then observe the number of each set of equations, what law can be found? According to the law found several sets of such formulas. The law I found at that time was that the numerator is two fractions of 1, their difference being equal to their product. According to the law, I quickly wrote several sets of equations: When I verified: found that the “” and “” groups do not meet the rules found above. This aroused my thinking: the numerator is 1, but the denominator is not a subtraction of the two natural numbers adjacent to the law of the regular fraction? I would like to find out, but also wrote several groups of formulas: the numerator is 1, the denominator difference The scores of 2, 3, and 4 are subtracted.