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格林公式的教学探究
引用本文:付芳芳,姚晓闺,李苗苗,袁琼,李国望.格林公式的教学探究[J].数学学习,2020(2):56-58,65.
作者姓名:付芳芳  姚晓闺  李苗苗  袁琼  李国望
作者单位:陆军炮兵防空兵学院
摘    要:首先通过一个热点问题和两个计算题引出学习格林公式的目的和必要性,迅速抓住学生的兴趣点,从第二型曲线积分入手,通过逐步分析操作给出前提条件,并最终得到公式,打破了书上的传统推导模式.

关 键 词:直接法  格林公式  整体与边界  曲线积分  二重积分

On Teaching of Green's Formula
FU Fangfang,YAO Xiaogui,LI Miaomiao,YUAN Qiong,LI Guowang.On Teaching of Green's Formula[J].Studies In College Mathematics,2020(2):56-58,65.
Authors:FU Fangfang  YAO Xiaogui  LI Miaomiao  YUAN Qiong  LI Guowang
Institution:(Department of Basic Mathematics, PLA Amy Academy of Artillery and Air Defense, Hefei 230031, China)
Abstract:By a hotspot issue,the purpose and necessity of Green's formula is introduced,which draws the students'interests.By using the second type curve integral and some preconditions,the formula is derived,which is different from the traditional approach as presented in the textbook.
Keywords:Green's formula  whole and boundary  curvilinear integral  double integral
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