笔者对一类形如y=(ax+b)1/2-(c+dx)1/2的无理函数值域问题作了一些尝试和探索,产生了几个结论,现作如下介绍,以期抛砖引玉.问题:求函数y=(ax+b)1/2-(c+dx)1/2(a·d≠0,ba≠cd,且a、b、c、d的取值要使函数有意义)的值域.分析:首先,求函数的定义域.a、b、c、d的大小关系以及取值正负都是未知的,但不难发现,只有a、d在求定义域时起着关键作用,因此只需对a、d分情况讨论.(1)当a、d异号时,①若a>0,d<0且ba> The author made some attempts and exploration on a type of irrational function range such as y = (ax + b) 1 / 2- (c + dx) 1/2, resulting in several conclusions, which are introduced as follows The problem is: Find the function y = (ax + b) 1 / 2- (c + dx) 1/2 (a · d ≠ 0, ba ≠ cd, and a, b, c, Meaningful) value range.Analysis: First, find the function of the domain.A, b, c, dThe size of the relationship as well as the value of the positive and negative are unknown, but not difficult to find, only a, d in the definition of domain (1) When a, d are different signs, ① if a> 0, d <0 and ba>