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函数是高中数学的主要内容,贯穿了整个高中数学的始末,也是高考的必须考察的一个重点知识。然而函数的三要素中,定义域又是十分重要的。研究函数的性质时应首先考虑其定义域。在我的教学过程中,我发现学生对定义域本身知识的学习是能掌握的,然而在求解函数有关问题时,容易忽视定义域,从而导致解题错误。在解函数题时强调定义域,对解题有很大的帮助,对学生数学思维的提高也是十分有益的。下面笔者就自己的工作经验对有关定义域的问题做一个小结。
Function is the main content of high school mathematics, runs through the entire high school mathematics, but also the entrance examination must be a key knowledge. However, the three elements of the function, the definition of domain is very important. The nature of the study of the function should first consider its domain. In my teaching process, I found that students can master the learning of domain-specific knowledge. However, when solving problems related to functions, it is easy to ignore the domain and lead to mistakes. Emphasis on the definition of domain in the solution to the problem, a great help to solve the problem, the improvement of students’ mathematical thinking is also very useful. The following author on their own work experience on the domain of the problem to make a summary.