无理函数值域问题是高中数学的重点、难点,同时也是各种考试的宠儿.纷繁复杂的试题让许多学生感到非常头疼,也让老师在教学中不知所措.查阅文献,大多作者对于该类问题多是采用换元、构造等一些技巧性非常强的方法.乍看这些解法甚是精美,细想一下,作为具有较高的知识水平和多年的教学经验的老 The problem of irrational function range is the key point of high school mathematics, but also the darling of various exams.There are many complicated questions which make many students feel very troublesome, and let the teacher know what to do in teaching.Read the literature, most of the authors for this category Mostly the problem is to use the yuan, structure and some very skillful method. At first glance these solutions are very beautiful, think about it, as a high level of knowledge and years of teaching experience in the old