摘要
利用微元法的基本思想,给出了直角坐标方程、参数方程形式下的平面曲线绕一般直线旋转所得旋转体体积的计算公式.最后,利用矢量法可推到二维、三维旋转体体积的计算.
Based on the basic idea of differential element method,the calculation formula of the rotating body＇s volume generated by the rotation of a plane curve around general linear in the form of rectangular coordinates equation and parametric equation is given. At last,the calculation formula of the volume is applied to the calculation of the volume of two-dimensional and three-dimensional rotating body by vector method.
出处
《河南教育学院学报（自然科学版）》
2015年第4期62-64,共3页
Journal of Henan Institute of Education(Natural Science Edition)
基金
河南省高等学校重点科研项目(15A110028)
河南省教育厅科学技术研究重点项目(13A210485)
关键词
旋转体体积
微元法
曲边梯形
矢量公式法
参数方程
volume of rotating body
infinitesimal dividing method
curved edge trapezoid
vector formula method
parametric equation
