文档介绍：论旋转曲面面积的计算方法
摘要:、任一直线旋转一周所得到的旋转曲面面积的计算公式;其次研究了平面曲线段绕任意过极点的直线旋转所得旋转曲面的面积公式;
关键词:旋转曲面;面积;计算方法
The Discussion of the Calculation About the Area of Curve Surface of Rotation
Abstract:The calculation about the area of curve surface of rotation is an im-
portant part of higher mathematics. Firstly,this paper discusses an formular which can be used to calculate the area of the curved surface of revolution generated from a circular motion of a line on a planar currilinear;secondly,this paper discusses an formular which can be used to calculate the area of the curved surface of revolution generated from a circular motion of line which get through axis polaris; lastly, using of the element method of the integral,we gave the general calculation formular of the area of the curve surface of rotation in arbitrary rotation angle with space curve.
Key words:The curved surface of revolution;Area;The method of calculation
目录
摘要 1
引言 2
1. 预备知识 3
3
3
5
3. 应用举例8
13
参考文献 14
致谢15
论旋转曲面面积的计算方法引言
旋转曲面面积的计算是高等数学中的重点内容之一,也是历年研究生考试的重点和难点内容,旋转曲面面积的计算不仅可以很好地培养学生的抽象思维和逻辑推理能力,而且由于旋转曲面面积的计算在实际中有广泛的用途,所以也能够很好地逐渐培养学生运用数学知识解决实际问题的意识和兴趣,培养建立实际问题的数学模型及运用数学方法解决实际模型的能力,使自己的数学素质得到充分的发展和提高.
根据旋转曲面的定义,我们知道旋转曲面是