根式函数的单值解析分支的教学探讨  

On the Teaching of Single Value Analytic Branch of Radical Function

作　　者：殷凤[1] 王鹏飞[1] 

机构地区：[1]忻州师范学院,山西忻州034000

出　　处：《忻州师范学院学报》2017年第5期115-118,共4页Journal of Xinzhou Teachers University

摘　　要：多值函数是复变函数的教学难点,主要体现在两点:第一,如何分解为单值解析分支;第二,分成单值解析分支后如何求函数值。文章通过8个小问题,层层剖析、层层递进,找到了函数产生多值的原因,找到了避免产生多值的方法,对根式函数分解为单值解析分支函数给与了清晰的解释,同时利用过程性思维给出了割破z平面后函数辐角的求法,分散了教学难点,为初学者和教师提供了参考资料。The early multi-valued function is the teaching difficulty of complex function,mainly reflected in two points： first,how to decompose into a single value analytic branch; second,how to calculate the value after the single value analysis branch. In this paper,eight small problems,layers of analysis,progressive progression,found the function of multi-value,find the method to avoid multi-valued,the radical function gives a clear interpretation,and use process thinking to solve the problem,scattered teaching difficulties,for beginners and teachers.

关 键 词：多值函数 变换 辐角变化 

分 类 号：G642.0[文化科学—高等教育学]