正数a的正的平方根为a~(1/2),因此a~(1/2)中的隐含条件(包括0的特殊性)就有两个:一个是a≥0,另一个是a~(1/2)≥0.这两个隐含条件在解题中有着广泛而且重要的应用.请看以下例题.一、s~(1/2)中的a≥0在解题中的应用1.化简例1已知y=(x-2)~(1/2),试化简|x-1|-|2-x|.分析:要化简|x-1|-|2-x|,需要根据已知条件y=(x-2)~(1/2),去弄清x-1和2-x的符号. The positive square root of the positive number a is a ~ (1/2), so there are two implicit conditions (including the special of 0) in a ~ (1/2): one is a≥0 and the other is a ~ (1/2) ≥0. These two implicit conditions have a wide range of important applications in solving problems. See the following example. First, a≥0 in s ~ (1/2) 1. Simple example 1 Known y = (x-2) ~ (1/2), try simplifying | x-1 | - | 2-x | | 2-x |, we need to know the sign of x-1 and 2-x according to the known condition y = (x-2) ~ (1/2)