摘要
本文利用换元积分法和坐标变换,分别讨论了直角坐标方程、参数方程和极坐标方程表示的光滑曲线,绕任一直线旋转一周时所产生的旋转体的侧面积和体积的计算方法.
In the article, the calculating area of lateral surface and volume of body of rotation is discussed respectively by using integration by substitution and coordination transformation method. The solid of revolution is generated by a smooth curve to revolve about an arbitrary line. And the smooth curve can be regarded as the rectangular equation, parameter equation and polar coordinates equation.
出处
《宜宾学院学报》
2008年第12期24-26,共3页
Journal of Yibin University
基金
宜宾学院青年基金项目(QJ05-01)
关键词
光滑曲线
旋转体
直角坐标方程
参数方程
极坐标方程
Smooth Curve
Solid of Revolution
Rectangular Equation
Parameter Equation
Polar Coordinates Equation
