| 用极坐标计算二重积分教学初探 |
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| 引用本文： | 任丽平.用极坐标计算二重积分教学初探[J].吕梁高等专科学校学报,2009,25(1). |
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| 作者姓名： | 任丽平 |
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| 作者单位： | 陕西教育学院,数理工程系,陕西,西安,710061 |
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| 摘 要： | 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.
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| 关 键 词： | 极坐标 重积分 直角坐标系 |
Teaching Research on Calculating Double integrals by Using Polar Coordinates |
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| REN Li-ping.Teaching Research on Calculating Double integrals by Using Polar Coordinates[J].Journal of Luliang Higher College,2009,25(1). |
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| Authors: | REN Li-ping |
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| Institution: | REN Li-ping(The Department of Maths; Physics and Engineering; Shaanxi Institute of Education; Xi an 710061; China); |
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| Abstract: | 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. |
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| Keywords: | Polar coordinates Double integrals Rectangular coordinate system coordinates |
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