对于大多数学生来讲,数学是枯燥、乏味的,学好数学不是一件容易的事。笔者认为,数学题是做不完的,要利用有限的习题培养学生的学习兴趣和思维能力,多反思回顾,寻求一题多解,这样有助于拓宽知识面,沟通知识间的联系,又可拓宽思路,寻求解决问题的一般方法,从而提高分析和解决问题的能力。下面就一道无理函数的值域问题的解法进行探究。 For most students, math is boring and boring, and learning math is not an easy task. The author believes that math problems are endless, we must use a limited number of exercises to develop students’ interest in learning and thinking, multi-reflection review, to seek a solution of multiple solutions, it helps to broaden the knowledge of the interface between the communication of knowledge, and Can broaden ideas and seek general solutions to problems, thereby increasing the ability to analyze and solve problems. The following solution to a range of problems with irrational functions is explored.