一个模型、三个问题突破第二型曲面积分概念难点  

One Case and Three Questions for Understanding the 2 nd Type Surface Integrals

作　　者：刘妮 任谨慎 焦红英[1] LIU Ni;REN Jinshen;JIAO Hongying(Basic Department,Air Force Engineering University,Xi'an 710051,China)

机构地区：[1]空军工程大学基础部,陕西西安710051

出　　处：《高等数学研究》2023年第2期64-66,72,共4页Studies in College Mathematics

基　　金：空军工程大学基础部教育理论基金.

摘　　要：从流量问题入手,利用两种方法给出常量场流量问题模型的求解.重点阐述了三个问题,即为什么要区分有向曲面的侧,什么是有向投影,如何理解两类曲面积分的关系.以这一个模型为基础,三个问题为突破,形象地分析了第二型曲面积分概念中的难点与困惑.To overcome the difficulties of understanding the 2 nd type surface integral,a case of flow in constant vector field is established by two methods and three questions are focused,which are why we differentiate the sides of a directed surface,what the directed projection is,and how to comprehend the relation between the two types of surface integrals.

关 键 词：流量 第二型曲面积分 有向投影 两类曲面积分的关系 

分 类 号：O171[理学—数学]