| 平面曲线弧长计算中的近似问题 |
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| 引用本文： | 孙玉泉. 平面曲线弧长计算中的近似问题[J]. 甘肃联合大学学报(自然科学版), 2014, 0(4): 26-29 |
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| 作者姓名： | 孙玉泉 |
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| 作者单位： | 北京航空航天大学数学与系统科学学院; |
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| 基金项目： | 北京航空航天大学重大教改项目:基于新课程中心的工科实验班数学教学改革与实践 |
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| 摘 要： | 通过对极坐标公式中用圆弧长近似曲线长度和使用圆柱近似旋转曲面的侧面积时的误差进行定量的分析,说明在使用微元法进行计算时选择正确微元的方法和标准。
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| 关 键 词： | 定积分应用 曲线弧长 微元法 微分近似 |
The Approximation in Calculating the Length of Plane Curves |
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| SUN Yu-quan. The Approximation in Calculating the Length of Plane Curves[J]. Journal of Gansu Lianhe University :Natural Sciences, 2014, 0(4): 26-29 |
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| Authors: | SUN Yu-quan |
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| Affiliation: | SUN Yu-quan (School of Mathematics and Systems Science, Beihang University, Beijing 100191, China) |
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| Abstract: | In this paper,the error between the length formula of arc and general curve was analysed quantitatively.Then the error of lateral area formula between cylinder and rotating body was also analysed.Finally,it was showed how to use correctly the micro-element method. |
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| Keywords: | application of integral curve length micro-element method differential approximation |
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