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在学习数的开方与方根中,算术根的概念是一个重点,也是一个难点.关键是要理解算术根的意义,了解它与绝对值、非负数的关系。 1.算术根的意义教材中算术平方根的定义可以换个说法:非负数a的非负平方根叫a的算术平方根,记作a~(1/2),a~(1/2)≥0(a为非负数)时,a的算术平方根记作a~(1/2),a~(1/2)≥0(a为非负数)。 2.绝对值的意义关于a的绝对值是这样定义的: |a|={a, (a>0) {o, (a=0) {-a.(a<0)
In the square roots and square roots of learning numbers, the concept of an arithmetic root is a key point and a difficult point. The key is to understand the meaning of the arithmetic root and understand its relationship with absolute and non-negative numbers. 1. The meaning of the arithmetic root The definition of the arithmetic square root in the textbook can be changed to say: The non-negative square root of the non-negative number a is the arithmetic square root of a, denoted by a~(1/2), a~(1/2)≥0(a) When it is non-negative, the square root of the arithmetic a is denoted by a~(1/2), a~(1/2)≥0 (a is non-negative). 2. Significance of Absolute Values The absolute value of a is defined as follows: |a|={a, (a>0) {o, (a=0) {-a. (a<0)