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初中一年级代数有理数中有一条运算法则“异号两数相加,符号取绝对值较大的……。”由于这条运算法则是在有理数运算中出现的,对于具体的异号数相加不论是计算结果还是比较这两数绝对值的大小、学生都能及时准确地得出结论。但引入字母代数后,虽然老师讲过有理数的运算法则仍适用于代数式,但学生却很少想到这条法则在代数式中的应用。其实这条法则不仅适用于代数式中绝对值大小的比较,而且对于超越式绝对值的大小比较也有应
There is an algorithm for algebraic rational numbers in the first grade of junior high school. “The two numbers are added together, and the sign is taken as the absolute value....” Because this algorithm is present in the rational number operation, the specific number is added. No matter whether it is the calculation result or the absolute value of the two numbers, the students can draw conclusions in a timely and accurate manner. However, after the introduction of algebraic algebra, although the teacher has said that the algorithms of rational numbers are still applicable to algebraic expressions, students rarely think of the application of this rule in algebraic expressions. In fact, this rule applies not only to the comparison of absolute values in algebraic formulas, but also to the comparison of absolute values of transcendental formulas.