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众所周知,绝对值的概念是数学中一个非常重要的概念,学生一进中学就要接触到它,乃至到大学都要用到这一概念。但我认为有许多初中学生(包括一些高中学生)对这一概念的理解非常肤浅,甚至可以说是含糊不清的,我在此文中对有关绝对值概念的理解和应用的教学谈几点看法。供参考。一、绝对值的意义: 代数意义:如果用字母表示数则绝对值的意义,即:一个正数的绝对值是它本身,一个负数的绝对值是它的相反数,零的绝对值是零。 2°几何意义:如果用字母a表示任一数(对于初一学生,这里a只能是有理数,对于其他年级学生,a
As we all know, the concept of absolute value is a very important concept in mathematics. Students will have to come into contact with it as soon as they enter middle school, and even use this concept at universities. But I think that there are many junior high school students (including some high school students) who have a very shallow understanding of this concept, and can even be ambiguous. I have a few thoughts on the teaching of understanding and applying the concept of absolute value in this article. . for reference. First, the meaning of the absolute value: Algebraic meaning: If you use the letter to represent the number of absolute meaning, that is: the absolute value of a positive number is itself, the absolute value of a negative number is its opposite number, the absolute value of zero is zero . 2° geometrical meaning: if you use the letter a to represent any number (for first grade students, where a can only be a rational number, for other grade students, a