空间曲线绕任意轴的旋转面面积  

The Area of Surface of Revolution formed by Revolving the Space Curve around the Arbitrary Axis

作　　者：陈珍培[1] 

机构地区：[1]浙江树人大学基础部,浙江杭州310015

出　　处：《大学数学》2015年第1期121-123,共3页College Mathematics

摘　　要：利用向量和定积分的知识,解决了空间曲线绕任意轴旋转所得旋转面的面积计算问题,给出了旋转面面积的简明计算公式,并借助实例进行说明.Based on the knowledge of vector and definite integration,the problem of area of the surface of revolution formed by revolving the space curve around the arbitrary axis be solutioned.A formula about area of revolution is obtained.An example be provided to demonstrate application of the formulas.

关 键 词：旋转面 行列式 向量 定积分 

分 类 号：O172.2[理学—数学]