摘要
本文从教学实践出发,强调了利用对称性简化二重积分的计算需同时考虑积分区域的对称性和被积函数相对积分区域的对称性。为更好地指导教学,文章还对如何准确、有效地利用对称性简化二重积分的计算作了进一步的探讨。
In this paper, from the point of teaching practice. It is emphasized that both the integral region's symmetry and the integral function's symmetry upon the integral region while simplifying the double integral operation with symmetry shoud be considered. To give better advice on teaching, futher discussion, is made on how to simplify the double integral operation with symmetry, precisely and effectively.