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1-1=0和0=1-1两个式子,粗看起来没有什么区别,但细细品味,它们之间有着本质的不同.二者表示两种不同的思考方式和不同的思考层次,在数学问题解决和试卷命题中有着广泛地应用.笔者例证加以探究,供同行评析.一、从式子本身看二者的区别1-1=0是一个确定型的等式,当左边的运算一定时,其结果也就唯一确定,它是一个纯数学算式,没有更丰富的思考空间.例如,2-2=0,x-x=0,3x-
1-1 = 0 and 0 = 1-1 two formulas, the rough looks no difference, but savor, there is a fundamental difference between them.The two represent two different ways of thinking and different levels of thinking , In mathematics problem solving and papers proposition has a wide range of applications.Examples of the author to explore for peer review.First, from the formula itself to see the difference between the two 1-1 = 0 is a deterministic equation, when the left When a certain operation, the result is also uniquely identified, it is a pure mathematical formula, there is no more room for thinking. For example, 2-2 = 0, xx = 0,3x-