作者杜有辰。本文对高中代数中有关讨论幂函数定义域等的分类方法提出了异议,认为对幂函数y=x~α的定义域等问题的讨论,应以按α=p/q(p,q为互质整数)中p,g的奇、偶性分类为好。作者据这一思想,将α的值分内α=奇/奇,α=奇/偶,α=偶/奇三类,进行了详细讨论。一家之言,可供有关人士参考。 Author Du Youchen. In this paper, we disagree about the classification method of the power function definition domain in high school algebra, and we think that the discussion of the domain of the power function y=x~α should be based on α=p/q (p,q for each other). The odd and even properties of p and g in a prime integer are classified as good. According to this idea, the author divided the values ​​of α into α=odd/odd, α=odd/even, and a=even/odd, which are discussed in detail. One of the words can be used for reference by relevant persons.