一般旋转曲面的求积公式及其应用 |
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引用本文: | 王汝亮.一般旋转曲面的求积公式及其应用[J].齐齐哈尔轻工业学院学报,2009(4):54-59. |
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作者姓名: | 王汝亮 |
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作者单位: | 山东科技大学基础课部,山东泰安271019 |
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基金项目: | 山东科技大学立项课题资助项目([2005]-07--44) |
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摘 要: | 首先给出空间简单光滑曲线Γ在参数方程下绕空间直线l旋转所得到的旋转曲面面积以及围成立体的体积公式,又作为特例给出了空间曲线Γ在一般方程下绕空间直线l及坐标轴旋转所得到的旋转曲面面积及围成立体的体积公式,同时作为特例也得到了平面曲线Γ绕空间直线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,从而,可应用公式进行有关的计算。
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关 键 词: | 空间曲线 空间直线 旋转曲面面积 围成立体的体积 |
Formula of quadrature of general curled curved surface and application |
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Authors: | WANG Ru-liang |
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Affiliation: | WANG Ru-liang ( Public Class Department, Shandong University of Science and Technology , Shandong Taian271019, China) |
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Abstract: | Fist this page gives formula of curled curved surface and solid volume of oral about spatial simple smooth curved F revolved spatial line l to curled under parameter equation, it is special example that gets formula of curled curved surface and solid volume of corral of spatial curved Г revolved axle of coordinate to curl under general equation, 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. Thus used formula for relevant to calculation. |
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Keywords: | spatial curved spatial line curled curved surface solid volume of corral |
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