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引学生数学探究 教学生学会学习——以“空间几何体的表面积”教学为例
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作者 刘烨烨 王华民 《上海中学数学》 2021年第1期15-17,37,共4页
笔者以"空间几何体的表面积"一课为例,获得教学思考,基于数学知识体系及学生学情,遵循数学教学规律,创设合理的问题情境,引导学生了解多面体及旋转体侧面展开图形状,并借助类比推理的方法探求空间几何体的表面积,寻找公式的... 笔者以"空间几何体的表面积"一课为例,获得教学思考,基于数学知识体系及学生学情,遵循数学教学规律,创设合理的问题情境,引导学生了解多面体及旋转体侧面展开图形状,并借助类比推理的方法探求空间几何体的表面积,寻找公式的内在联系,挖掘数学知识的本质,促进学生学会学习. 展开更多
关键词 数学探究 学会学习 空间几何体表面
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“网罗”常见几何体表面最短路径问题
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作者 赖思螣 卢贤慧(指导) 《新智慧》 2018年第24期57-58,共2页
在高考中,对于立体几何的考察经常出现求几何体表面的最短路径问题,常与三视图,实际应用等方面结合。主要考察解决此类问题的一般方法,本文通过对高中的六种常见几何体的最短路径问题进行分析,探讨解决此类问题的一般方法。
关键词 几何体表面 棱柱 棱锥
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关注课堂教学环节发展直观想象素养--以“空间几何体的表面积”教学为例
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作者 董荣森 谢建金 《数学通讯》 2021年第12期10-13,共4页
本文以“空间几何体的表面积”教学为例,就“关注课堂教学环节,发展直观想象素养”这一话题,围绕情境创设、新知探究(多面体侧面积公式的探究、旋转体侧面积公式的探究、公式之间的关系等)、数学应用、课堂小结等教学环节,结合部分教学... 本文以“空间几何体的表面积”教学为例,就“关注课堂教学环节,发展直观想象素养”这一话题,围绕情境创设、新知探究(多面体侧面积公式的探究、旋转体侧面积公式的探究、公式之间的关系等)、数学应用、课堂小结等教学环节,结合部分教学片断进行比较、分析、研究与探讨。 展开更多
关键词 空间几何体表面 课堂教学 情境设计 新知探究 数学应用 直观想象素养
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Fluid Flow Optimization on Semiautomatic Code Marker Base
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作者 Dmitri Aleksandrov Igor Penkov 《Journal of Energy and Power Engineering》 2012年第6期916-920,共5页
This paper describes optimization process of nozzle cup based on a device for contactless code marking to rough and contaminated surfaces--semiautomatic code marker. During tests using the CFD (computational fluid dy... This paper describes optimization process of nozzle cup based on a device for contactless code marking to rough and contaminated surfaces--semiautomatic code marker. During tests using the CFD (computational fluid dynamics) software different geometry of nozzle cups were compared by such parameters as pressure, velocity and direction of flow. Goal of digital experiments was to find sprayer nozzle geometry that can keep stream of paint in diameter of 10 mm on 10-20 mm distance. Main problem is to avoid low-pressure regions around the stream. The optimal geometry of nozzle cup is designed to get adjusted code dimensions on given distance 展开更多
关键词 CODE marking OPTIMIZATION NOZZLE CUP fluid flow velocity.
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An approach to calculate surface effects of polyhedron nanocrystals and its application in silicon nanowires
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作者 Fanwei Liu Haijian Chu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2022年第10期28-37,共10页
A stretch-release strategy is proposed to analyze the problem of surface energy-induced stress fields in nanocrystals,which is resolved into a stretch sub-problem and a release sub-problem using the superposition prin... A stretch-release strategy is proposed to analyze the problem of surface energy-induced stress fields in nanocrystals,which is resolved into a stretch sub-problem and a release sub-problem using the superposition principle.The surface effect of silicon nanowires with hexagonal cross-sections is analyzed by the proposed method.The severe stress concentration near the triple junctions of the wire surfaces and the large shear stress on the plane{111}is quantified,which provides a solid mechanical explanation for the kink phenomena in growth transition from direction〈111〉to〈112〉observed in experiments.Different from the conventional view of negligible surface effect for bulk material,we found that there exists a size-independent part of the surface effect on the stress in the order of tens or hundreds of mega Pascal,which corresponds to the stretch-induced biaxial stress in the surface layer and the shape influence of the geometry of nanocrystals.This size-independent part could well explain the size-independent kinking phenomenon during the growth of silicon nanowires. 展开更多
关键词 Surface energy Stretch-release strategy Surface effect Size-independent effect Nanowire growth
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