区域的参数方程与区域图像  

On the Graph and the Parameterization of Domains

作　　者：周方敏 ZHOU Fangmin(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing,Guangdong 526000,China)

机构地区：[1]肇庆学院数学与统计学院

出　　处：《肇庆学院学报》2019年第5期41-44,48,共5页Journal of Zhaoqing University

基　　金：国家自然科学基金资助项目(11601476,11301556);广东省自然科学基金资助项目(2016A030313013)

摘　　要：现行数学教材对区域的参数方程与区域图像之间的转化与过渡介绍得不够详细,甚至根本没有涉及,这是导致重积分难学的一个重要原因.本文介绍区域的参数方程与区域图像之间的转化与过渡,着重介绍了一种求区域的参数方程的方法,与传统方法相比,本文所提供的方法易于掌握“,可视化”且统一.There are few discussions on the shift between the graph and parameterization of domains in current mathematics books,which causes students to feel difficult to master the computation of iterated integration.How to transfer between the graph and parameterization of domains was introduced and how to parameterize a domain was discussed in detail.Compared with the traditional methods,our methods are easy to learn,visualize,and uniform.

关 键 词：区域 重积分 积分区域 微积分 

分 类 号：O172.2[理学—数学]