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正在平面内,如果一条直线把一个多边形分割成的两部分的面积相等,那么我们称这条直线为这个多边形的面积平分线.已知一个多边形,如何作这个多边形的面积平分线?这是一个富有趣味又有一定难度的问题. 相似文献
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小数第九册开始涉及多边形面积教学,为了帮助学生较快掌握多边形面积的计算方法,在多边形而积的教学中可以从以下几个方面进行教学。(一)看目的在于看多边形由几个学过的几何图形组成。这是正确计算多边形面积的前提。如右图(一),引导学生观察后就可知道:这个多边形是由一个平行四边形和一个梯形组成。 相似文献
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关于平面多边形有向面积的一些定理 总被引：15，自引：1，他引：14
喻德生 《赣南师范学院学报》1999,(3):11-14
本文给出多边形有向面积的一个定值定理和多边形中线三角形的一些性质,把文［２］定理４和三角形中线定理等结论推广到更一般的情形。同时还给出了多边形有向面积公式的初等证明。我们约定,本文所指的多边形是指边不自交的平面多边形 相似文献
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一、面积射影法。若二面角的一个半平面内有一个面积为S的多边形，这个多边形在另一个半平面内的射影构成的多边形面积为S′，则利用公式cosθ=S′/S可求出二面角θ的大小． 相似文献
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两个多边形,如果面积相等,我们就称之为等积的多边形。如果可以把其中的一个多边形分割成一些部分,并能将这些部分拼成和另一个多边形全等的图形,则称这两个多边形为等构的多边形。在平面几何学面积理论中有一个有名的定理:博尔雅——格尔维因定理:“如果两个多边形是等积的,则它们是等构的”。 相似文献
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教学内容苏教版小学数学第九册《多边形面积的计算》单元的整理与复习。教学过程一、导入谈话师:同学们,我们已经学过了"多边形面积的计算",这节课我们将对所学多边形进行系统回顾,复习它们面积计算方法的推导与应用。 相似文献
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《浙江大学学报(A卷英文版)》2021,(1)
Two types of high power alternating current(AC) locomotive in China are prone to serious high-order polygonal wear, which has significant negative effects on the operation of locomotives. This study investigates factors influencing polygonal wear in locomotive wheels and determines methods of minimizing operation damage. We designed experiments to analyze the process of polygonization formation of wheels to identify the key influencing factors, finding that natural vibration of wheelsets is the central inherent factor of wheel polygonization and that these vibrations can be easily stimulated by wheel or rail irregularities. We found that poor re-profiling quality is the key external factor in these irregularities. The wheelset bending resonance is activated when the remaining wheel polygonal wear has a wavelength of 200 mm in the 1/3 octave band, in turn leading to significant increases of wheel polygonal wear. In this study, we review a new wheelset design that can mitigate and/or eliminate the polygonal wheel wear due to increased stiffness in wheel bending. We evaluate the potential capacity of the newly designed wheelset and propose two proven effective measures to further improve the wheel re-profiling quality for polygonal wear. 相似文献
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张新元 《宁波职业技术学院学报》2012,(2):21-24
给出了求二重积分的一种换元法,应用该方法求解二元多项式函数在多边形区域上的二重积分,比用传统的先将积分区域分成几个X/Y-型区域再分别求解几个积分及其和的方法更方便。 相似文献
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This paper presents a detailed investigation, via field experiment, into the mechanism of high-order polygonal wear of wheels of a new type of high-speed train. The investigation was carried out during the performance acceptance test of the train and its initial commercial operation. The investigation covered the performance acceptance test of 150 000 km and the commercial operation of about 150 000 km. In the performance acceptance test of the first stage of about 70 000 km, at 200–250 km/h with full loading and sometimes overloading by 30%, the serious polygonal wear of 23-order took place on all the wheels of the train, and was measured and analyzed in detail. All the polygonized wheels were re-profiled because the polygonal wear had caused strong vibration and damage to the train parts. After re-profiling, the vibration of the train and track and the wear status of the wheels were measured and analyzed at different test mileages according to the polygonal wear situation of the wheels. The measured vibration of the train includes the accelerations at different positions of a motor car and a trail car. The vibration modes of the key parts of the bogies of the two cars were calculated. Meanwhile, the track resonant frequencies were investigated at the site. The purpose of the above tests and analysis is try to find the frequency of work mode matching the passing frequency of the high-order wheel polygon. The present investigation shows that one of the working models causes the formation and development of the high-order wheel polygonal wear. The growth of this wear was effectively reduced through the frequent changing of the running speed of the train operating on the way back and forth every day. 相似文献
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谢林毅戴贵龙陈雪淇庄莹 《福建工程学院学报》2020,(1):69-74
采用蒙特卡洛射线踪迹法,ProE和TracePro软件技术,模拟分析了多棱台与一次抛物面、复合抛物面二次聚集器与一次抛物面两级聚集器的太阳光聚集传输特性。通过对比,发现多棱台二次聚集器的几何聚光比为1.4左右(约为复合抛物面聚集器的70%)。多棱台与一次抛物面、复合抛物面二次聚集器与一次抛物面两级聚集器圆筒侧壁和底面的太阳能流密度分布图像相当(沿圆周方向,复合抛物面两级聚集器相对比较平滑)。结论为反射二次聚集器技术发展提供理论依据。 相似文献
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在模型简化、图像处理和分析、模式识别以及计算机视觉等应用中常常涉及到数字曲线的多边形逼近问题。对该问题的国内外研究成果进行了较为系统地介绍,对一些典型算法的优缺点进行了分析,对相关技术的发展进行了展望。 相似文献
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LIU Yong-jin TANG Kai JOENJA Ajay 《浙江大学学报(A卷英文版)》2006,7(9):1578-1588
INTRODUCTION Polygonal surface has become ubiquitous due to its efficient representation of highly detailed geomet- ric objects with arbitrary topological type. In real-world simulation and analysis, a 3D physical object is modelled as a closed subset in ú3 bounded by a connected, compact and orientable 2D manifold. For algorithmically describing orientable 2-manifold polygonal surfaces, the practical data structure should not only easily check manifold property and topo- logical consist… 相似文献
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Jie ZHANG ;Guang-xu HAN ;Xin-biao XIAO ;Rui-qian WANG ;Yue ZHAO ;Xue-song JIN 《浙江大学学报(A卷英文版)》2014,(12):1002-1018
研究目的：研究高速列车车轮多边形特征对轮轨噪声和车内噪声的影响规律,讨论目前国内高速列车车轮镟修指标的不足,为高速列车车轮镟修方法的优化改进提供科学依据。创新要点：系统分析高速列车车轮多边形阶次、幅值和相位等参数对车内噪声的影响规律;提出车轮镟修中仅考虑车轮径跳作为限值是不够的。研究方法：1．基于线路试验,初步分析高速列车车轮多边形状态对车内噪声的影响,进而对车轮多边形特征进行剖析;2．基于带通滤波和快速傅里叶变换,使用MATLAB程序生成不同阶次、幅值和相位的车轮多边形粗糙度数据;3．基于TWINS轮轨噪声原理,使用HWTNS预测含有不同车轮多边形特性的轮轨噪声;4．基于混合有限元-统计能量分析（FE—SEA）方法,建立高速列车客室端部车内噪声预测模型,预测车内噪声;5．通过分析车轮多边形参数、车轮径跳和车内噪声之间的相互关系,研究目前的高速列车车轮镟修指标是否合适。重要结论：1．高速列车车轮径跳值相同,但车轮多边形状态不同时,轮轨噪声与车内噪声有明显差异;2．当车轮多边形幅值相同时,高阶多边形可以引起更高的轮轨噪声和车内噪声;3．改变车轮多边形的相位,可以获得不同的车轮径跳值,但是对轮轨噪声和车内噪声几乎没有影响。 相似文献
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This paper proposes a modified shape coding algorthm called modified vertex-based shape coding(MVBSC) to encode the boundary of a visual object compactly by using a modified polygonal approximation approach which uses modified curvature scale space (CSS) theory to extract feature0points. 相似文献