关于对称性在积分学中的几个命题及其应用

Several Propositions and Their Application of Symmetry in Integral

利用对称性解题是数学解题教学中常见的策略之一,本文通过给出对称性在定积分、重积分、曲线积分以及曲面积分的几个命题,并运用如上命题计算了一类典范性的积分题例.

It is one of the common strategies by using symmetry in teaching of solving mathematics. In this paper,several propositions of symmetry in definite integral, multiple integral, curvilinear integral and surface integral were given. Futhermore,those propositions were applied to solve a class of integral questions.