用极坐标计算二重积分教学初探

Teaching Research on Calculating Double integrals by Using Polar Coordinates

针对"用极坐标计算二重积分"这一知识点上学生容易出现的一个误区,展开论证.利用极坐标系下参数的定义和定积分的性质,阐明了该误区出现的原因及避免的方式.

An incorrect method to calculate double integrals by using polar coordinates is discussed.A new way to avoid the above incorrect method is given,by means of the definitions of the parameters under the polar coordinates system and the properties of definite integral.