| 平面绕一定直线旋转所得旋转体体积计算的研究 |
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| 引用本文： | 陈志华. 平面绕一定直线旋转所得旋转体体积计算的研究[J]. 高师理科学刊, 2008, 28(3): 38-40 |
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| 作者姓名： | 陈志华 |
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| 作者单位： | 玉溪师范学院数学系,云南,玉溪,653100 |
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| 摘 要： | 平面绕一定直线旋转而成的旋转体体积计算方法有微元法、坐标变换法等多种,这些方法往往推导繁琐,所得一般公式不易掌握.应用古鲁金定理证明了平面绕一定直线旋转而成的旋转体体积计算的一般公式,推广和简化了已有的公式,并加以应用.
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| 关 键 词： | 古鲁金定理 旋转体体积 一般公式 |
| 文章编号： | 1007-9831(2008)03-0038-03 |
| 修稿时间： | 2007-11-30 |
Research about calculating method for the rotating object volume from plane rotating around a certain line |
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| CHEN Zhi-hua. Research about calculating method for the rotating object volume from plane rotating around a certain line[J]. Journal of Science of Teachers＇College and University, 2008, 28(3): 38-40 |
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| Authors: | CHEN Zhi-hua |
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| Abstract: | The calculating method for the rotating object volum of plane rotating around a certain linee is micro-element method,coordinate transformation method other,these methods are often cumbersome deduced,from the general formula is not easy to keep.Using P.Guldin Guerdon theorem to solve the problem of random rotating object volume,and then gives out the calculating formula for the rotating object volume,this not only popularizes the existed calculating formula,but also simplifies existed calculating methods.At last given some examples. |
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| Keywords: | P.Guldin theorem rotating object volume the general formula |
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