旋转曲面的面积及围成立体体积的求法  

The Requesting of Curled Curved Surface and Solid Volume of Corral

作　　者：丁殿坤[1] 

机构地区：[1]山东科技大学公共课部,泰安271019

出　　处：《大学数学》2007年第4期184-187,共4页College Mathematics

摘　　要：首先给出空间简单光滑曲线Γ绕空间直线l旋转所得到的旋转曲面面积以及围成立体的体积求法,作为特例又给出了空间曲线Γ绕坐标轴旋转所得到的旋转曲面面积及围成立体的体积求法,同时也得到了平面曲线Γ绕直线l及坐标轴旋转分别所得到的旋转曲面面积和围成立体的体积求法.First this page gives requesting of curled curved surface and solid volume of corral about spatial simple smooth curved Г revolved spatial line l to curled. It is special example that gets requesting of curled curved surface and solid volume of corral of spatial curved Г revolved axle of coordinate to curl, and gets requesting of curled curved surface and solid volume of corral of spatial curled Г revolved spatial line l and axle of coordinate to curled.

关 键 词：空间曲线 空间直线 旋转曲面面积 围成立体的体积 

分 类 号：O172.2[理学—数学]