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关于动圆问题破题方法的举例探究
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作者 李平 《数理天地(初中版)》 2024年第1期14-15,共2页
动圆问题解析时需要结合方法策略来转化问题条件、构建策略.常用的方法有特殊位置法、分类讨论法、化归转化法,本文结合实例探究解法,分析破题思路,并总结构建策略,与读者交流.
关键词 动圆 分类讨论 为静
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GeoGebra软件环境中探究过定点的动圆与曲线相切问题 被引量:2
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作者 张志勇 《中国数学教育(高中版)》 2014年第9期61-64,共4页
从过定点的动圆与定圆相切问题出发,构造并探讨了过定点的动圆与直线、圆锥曲线、其他函数图象等的相切问题,在领略千姿百态的数学美的同时,经历了师生共同定义圆与圆锥曲线相切、圆与其他函数图象相切的过程.将数学美育真正落实在... 从过定点的动圆与定圆相切问题出发,构造并探讨了过定点的动圆与直线、圆锥曲线、其他函数图象等的相切问题,在领略千姿百态的数学美的同时,经历了师生共同定义圆与圆锥曲线相切、圆与其他函数图象相切的过程.将数学美育真正落实在数学课堂上,需要挖掘与开发数学课程内容,也要引教育技术进课堂,GeoGebra软件的强大功能和独有魅力有待进一步研究. 展开更多
关键词 过定点的动圆 相切 数学美 GeoGebra 软件
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用“动圆”巧解带电粒子在匀强磁场中的运动问题 被引量:2
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作者 陈丽峰 《物理教学探讨(中学教学教研版)》 2012年第4期24-25,共2页
带电粒子在匀强磁场中做匀速圆周运动的分析,往往是学生思维和方法上的难点,若能借助如题所说的"动圆",将圆进行旋转、缩放、平移,形成一种"动态"的轨迹呈现,就能化动为静,从而消除或减少学生在解题过程中的思维、方法障碍。
关键词 动圆 匀强磁场 旋转 缩放 平移
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动圆定圆内切 中点轨迹破题
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作者 黄昌毅 《数学通讯》 2021年第8期37-39,43,共4页
探究一道动圆定圆内切问题,利用中点轨迹.借助抛物线定义,求解定圆方程,探究试题的命制背景,推广一般结论,从而发展学生的数学思维,提升学生的数学核心素养.
关键词 动圆 中点轨迹 揭示背景 结论推广
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探究一类以动圆和定直线为背景的试题
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作者 朱逸文君 施晋轩 李隽易(指导) 《数学通讯》 2022年第17期60-62,共3页
在求解一道以动圆和定直线为背景的试题时,先利用求解类似问题的结论来解答,发现答案存在矛盾之处,重新对问题进行探究,得到了正确的解答,总结了这一类问题的各种情况,并编拟了几道新题.
关键词 动圆 定直线 解法探究 一般结论
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从一道模拟题谈抛物线与其根轴圆的位置关系
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作者 严志伟 《中学数学研究》 2023年第10期37-39,共3页
1.试题呈现如图1,抛物线y^(2)=8x与动圆M:(x-8)^(2)+y^(2)=r^(2)(r>0)交于A,B,C,D四个不同点.(1)求r的取值范围;(2)略.这是2021年广东省江门市一模试题题21,本题的答案是4√3<r<8.本题内涵丰富,涉及抛物线与其根轴圆的位置关... 1.试题呈现如图1,抛物线y^(2)=8x与动圆M:(x-8)^(2)+y^(2)=r^(2)(r>0)交于A,B,C,D四个不同点.(1)求r的取值范围;(2)略.这是2021年广东省江门市一模试题题21,本题的答案是4√3<r<8.本题内涵丰富,涉及抛物线与其根轴圆的位置关系问题,不应解完即止,可引导学生进行深入探究. 展开更多
关键词 抛物线 模拟题 广东省江门市 根轴 取值范围 动圆 不同点 试题
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中国现代舞圆动律探析
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作者 黄靖璇 《中国民族博览》 2022年第20期38-40,共3页
“圆”为中国审美范畴之一,有包容、完满之感,对运动观有程度上影响,源源不断,行云流水之势,往复循环、首尾相接之态,圆满周至、包揽天地之感,圆之动律也成就了东方运动规律、运动轨迹、运动指向。现代舞是西方产物,中国当代现代舞人将... “圆”为中国审美范畴之一,有包容、完满之感,对运动观有程度上影响,源源不断,行云流水之势,往复循环、首尾相接之态,圆满周至、包揽天地之感,圆之动律也成就了东方运动规律、运动轨迹、运动指向。现代舞是西方产物,中国当代现代舞人将其舶来文化与本土文化相结合,逐渐发展成中国现代舞,其代表团队就有陶身体剧场。本文以中国传统文化对圆的分析为依据,从“圆”舞动本体分析,到中国现代舞代表舞团陶身体剧场的部分作品的动作分析,将其与中国古典舞典型舞畴进行对比分析,从中探索中国现代舞圆动律形态显现与内在涵义,守正创新,探寻东方文明里生长出来的智慧,传统的力量才是文化自信的基础。 展开更多
关键词 中国现代舞 形态分析 东方审美 陶身体剧场
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问题与征解
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《大学数学》 2024年第4期I0001-I0001,共1页
问题问题39(供题者:南开大学李军)设a0,a1∈ℝ,an+1=1n an+an-1,n=1,2,….证明数列图1问题描述an n收敛并求lim n→+∞an n.问题40(供题者:江南大学沈莞蔷,陈海伟)在平面上,已知两圆C1,C2,圆心分别为A,B,半径分别为R,r,且A,B之间的距离为... 问题问题39(供题者:南开大学李军)设a0,a1∈ℝ,an+1=1n an+an-1,n=1,2,….证明数列图1问题描述an n收敛并求lim n→+∞an n.问题40(供题者:江南大学沈莞蔷,陈海伟)在平面上,已知两圆C1,C2,圆心分别为A,B,半径分别为R,r,且A,B之间的距离为d(d,R,r>0).P,Q分别为圆C1,C2内部(包括圆上)的动点,C为经过P和Q的动圆(见图1),求C的圆心S在该平面上可能出现的区域. 展开更多
关键词 南开大学 征解 动圆
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双摆线钢球的啮合与传动 被引量:2
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作者 李思益 李树明 尚久浩 《陕西科技大学学报(自然科学版)》 1994年第S1期69-72,共4页
本文详细分析讨论了摆线及双摆线的啮合原理,运用动点圆的概念揭示了双摆线啮合传动的实质,据此导出了双摆线啮合传动时必须满足的条件,为新型减速器的设计奠定了理论基础。
关键词 双摆线 等效 啮合原理
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Temperature-Induced Unfolding Pathway of Staphylococcal Enterotoxin B:Insights from Circular Dichroism and Molecular Dynamics Simulation
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作者 LIU Ji ZHANG Shiyu +1 位作者 ZENG Yu DENG Yi 《食品科学》 EI CAS CSCD 北大核心 2024年第18期55-76,共22页
In this study,circular dichroism(CD)and molecular dynamics(MD)simulation were used to investigate the thermal unfolding pathway of staphylococcal enterotoxin B(SEB)at temperatures of 298–371 and 298–500 K,and the re... In this study,circular dichroism(CD)and molecular dynamics(MD)simulation were used to investigate the thermal unfolding pathway of staphylococcal enterotoxin B(SEB)at temperatures of 298–371 and 298–500 K,and the relationship between the experimental and simulation results were explored.Our computational findings on the secondary structure of SEB showed that at room temperature,the CD spectroscopic results were highly consistent with the MD results.Moreover,under heating conditions,the changing trends of helix,sheet and random coil obtained by CD spectral fitting were highly consistent with those obtained by MD.In order to gain a deeper understanding of the thermal stability mechanism of SEB,the MD trajectories were analyzed in terms of root mean square deviation(RMSD),secondary structure assignment(SSA),radius of gyration(R_(g)),free energy surfaces(FES),solvent-accessible surface area(SASA),hydrogen bonds and salt bridges.The results showed that at low heating temperature,domain Ⅰ without loops(omitting the mobile loop region)mainly relied on hydrophobic interaction to maintain its thermal stability,whereas the thermal stability of domain Ⅱ was mainly controlled by salt bridges and hydrogen bonds.Under high heating temperature conditions,the hydrophobic interactions in domain Ⅰ without loops were destroyed and the secondary structure was almost completely lost,while domain Ⅱ could still rely on salt bridges as molecular staples to barely maintain the stability of the secondary structure.These results help us to understand the thermodynamic and kinetic mechanisms that maintain the thermal stability of SEB at the molecular level,and provide a direction for establishing safer and more effective food sterilization processes. 展开更多
关键词 staphylococcal enterotoxin B circular dichroism molecular dynamics simulations temperature-induced unfolding
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EXPERIMENTAL INVESTIGATION ON FLOW AND HEAT TRANSFER CHARACTERISTICS IN TENON JOINT GAP BETWEEN TURBINE BLADE AND DISK 被引量:2
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作者 常海萍 黄太平 陈万兵 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1995年第1期52-56,共5页
The now and heat transfer characteristics in tenon joint gap between turbine blade and disk have been investigated experimentally with a scale up model. The characteristics of flow and heat transfer in this speCial ga... The now and heat transfer characteristics in tenon joint gap between turbine blade and disk have been investigated experimentally with a scale up model. The characteristics of flow and heat transfer in this speCial gap passage have been analyzed. The results are useful for beat transfer analysis in turbine design. 展开更多
关键词 flow heat transfer non-circular tube TRANSITION multistate flow
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A Class of the Singularly Perturbed Boundary Value Problems for Elliptic Equation with a Super Surface of Turning Point in n-dimensional Space 被引量:6
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作者 王庚 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期41-46,共6页
In this paper, we study a class singular perturbed elliptic equation boundary value problem with a super surface of turning point in n-dimensional space by using the method of multiple scales and the comparison theore... In this paper, we study a class singular perturbed elliptic equation boundary value problem with a super surface of turning point in n-dimensional space by using the method of multiple scales and the comparison theorem. The uniformly valid asymptotic approxmations of solutions for the boundary value problem is constructed. 展开更多
关键词 singular perturbation turning point elliptic equation
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借助几何画板,巧妙破解“与圆有关的位置关系”动点型策略 被引量:1
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作者 徐菊萍 《苏州教育信息化》 2016年第4期17-20,共4页
近年来,中考题型中'动点问题'非常炙热,该类问题融几何与代数知识于一体,数形结合,有较强的综合性,动静结合,能够在运动变化中有力地发展学生逻辑思维能力、空间想象能力、综合分析能力、创新能力及辩证唯物主义观点。而'... 近年来,中考题型中'动点问题'非常炙热,该类问题融几何与代数知识于一体,数形结合,有较强的综合性,动静结合,能够在运动变化中有力地发展学生逻辑思维能力、空间想象能力、综合分析能力、创新能力及辩证唯物主义观点。而'几何画板'可以帮助学生在动态中去观察、探索和发现对象之间的数量变化关系与结构关系,因而能充当数学实验中的有效工具,使学生通过计算机从'听数学'转变为'做数学'。本人纵观近年全国各地中考试题,通过研究动点型问题的特点,对动点问题、动线问题、动圆问题三大类型进行研究,解析蕴含在该类题型中的重要的数学思想和相关的解题策略,以期抛砖引玉,为所有几何问题中动点问题的教学提供些许帮助。 展开更多
关键词 线 动圆 化“”为“静”哲学思想 几何画板 解题策略
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ELLIPTIC MOTIONS ON MODAL CONVERSION ULTRASONIC MOTORS 被引量:1
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作者 金家楣 张建辉 赵淳生 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2008年第4期262-265,共4页
The forming of elliptic motions on the modal conversion ultrasonic motors (MCUMs) is discussed. The principles of the modal conversion are investigated based on the coupling with the stator and the rotor, and using ... The forming of elliptic motions on the modal conversion ultrasonic motors (MCUMs) is discussed. The principles of the modal conversion are investigated based on the coupling with the stator and the rotor, and using an independent coupler. The elliptical locus observed on the longitudinal-torslonal vibration converter with oblique slits is analyzed by using vibration theory. A method for the modal conversion is proposed by using the local mode of a substructure On a main structure. The method can be used to design the modal conversion type ultrasonic motors. 展开更多
关键词 motors ultrasonic motor modal conversion elliptic motion
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对一道高考模拟试题的推广探究 被引量:1
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作者 董强 《河北理科教学研究》 2020年第2期49-50,共2页
笔者在高三数学一轮复习过程中遇到了一道圆锥曲线中关于探究动圆是否过定点的问题,试题本身难度不大,但圆锥曲线试题涉及定点(定值)的探索往往具有一般规律,对这些试题的研究经常能发现一些有用的结论,具有引导学生高效复习、变式研究... 笔者在高三数学一轮复习过程中遇到了一道圆锥曲线中关于探究动圆是否过定点的问题,试题本身难度不大,但圆锥曲线试题涉及定点(定值)的探索往往具有一般规律,对这些试题的研究经常能发现一些有用的结论,具有引导学生高效复习、变式研究的价值,在此将试题解析与推广探究过程做一整理,以引起更多师生的关注. 展开更多
关键词 一轮复习 高效复习 锥曲线 高三数学 试题解析 推广探究 动圆 过定点
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Three-dimensional numerical simulation of the flow past a circular cylinder based on LES method 被引量:1
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作者 陈海龙 戴绍士 +1 位作者 李佳 姚熊亮 《Journal of Marine Science and Application》 2009年第2期110-116,共7页
The hydrodynamic characteristics of a rigid, single, circular cylinder in a three dimensional, incompressible, uniform cross flow were calculated using the large-eddy simulation method of CFX5. Solutions to the three ... The hydrodynamic characteristics of a rigid, single, circular cylinder in a three dimensional, incompressible, uniform cross flow were calculated using the large-eddy simulation method of CFX5. Solutions to the three dimensional N-S equations were obtained by the finite volume method. The focus of this numerical simulation was to research the characteristics of pressure distribution (drag and litt forces) and vortex tubes at high Reynolds numbers. The results of the calculations showed that the forces at every section in the spanwise direction of the cylinder were symmetrical about the middle section and smaller than the forces calculated in two dimensional cases. Moreover, the flow around the cylinder obviously presents three dimensional characteristics. 展开更多
关键词 LES method three-dimensional flow past circular cylinder hydrodynamic characteristics
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An approach to improving maneuver performance of coning algorithm
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作者 汤传业 陈熙源 宋锐 《Journal of Southeast University(English Edition)》 EI CAS 2014年第4期439-444,共6页
Aiming to improve the maneuver performance of the strapdown inertial navigation attitude coning algorithm a new coning correction structure is constructed by adding a sample to the traditional compressed coning correc... Aiming to improve the maneuver performance of the strapdown inertial navigation attitude coning algorithm a new coning correction structure is constructed by adding a sample to the traditional compressed coning correction structure. According to the given definition of classical coning motion the residual coning correction error based on the new coning correction structure is derived. On the basis of the new structure the frequency Taylor series method is used for designing a coning correction structure coefficient and then a new coning algorithm is obtained.Two types of error models are defined for the coning algorithm performance evaluation under coning environments and maneuver environments respectively.Simulation results indicate that the maneuver accuracy of the new 4-sample coning algorithm is almost double that of the traditional compressed 4-sample coning algorithm. The new coning algorithm has an improved maneuver performance while maintaining coning performance compared to the traditional compressed coning algorithm. 展开更多
关键词 coning algorithm coning correction structure maneuver performance coning performance frequency Taylor series method coning algorithm coning correction structure maneuver performance coning performance frequency Taylor series method
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The Singularly Perturbed Boundary Value Problems for Elliptic Equation with Turning Point 被引量:1
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作者 陈松林 莫嘉琪 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第3期12-16,共5页
The singularly perturbed elliptic equation boundary value problem with turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the boundary ... The singularly perturbed elliptic equation boundary value problem with turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for the boundary value problem is studied. 展开更多
关键词 singular perturbation boundary value problem elliptic equation
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Representation Theory of Three-Dimensional Elliptical Crack Under Dynamic Loading
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作者 范天佑 《Journal of Beijing Institute of Technology》 EI CAS 2000年第2期138-141,共4页
The relation between the normal displacement on the surface of a dynamical elliptical crack and the normal stress over the crack surface was studied. The three dimensional elastodynamic equations and Fourier Laplace... The relation between the normal displacement on the surface of a dynamical elliptical crack and the normal stress over the crack surface was studied. The three dimensional elastodynamic equations and Fourier Laplace transforms are used. Based on the influence function and the inversion of integral transforms, one can find that if the distribution of normal displacement on the surface of a dynamic elliptical crack is a polynomial of degree n in x 1 and x 2 , then the normal pressure acting over the ellipse is also a polynomial P n(x 1,x 2) of the same degree in x 1 and x 2 . 展开更多
关键词 dynamic elliptical crack ELASTODYNAMICS integral transforms representation theory
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有奖解题擂台(126)
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作者 谢永侠 齐行超 《中学数学教学》 2019年第6期F0004-F0004,共1页
问题大家知道,轴承中有两定圆同心,一系列圆(钢珠)分别与大小定圆内切外切,若这些相邻的圆(钢珠)外切,则切点共圆.若两定圆内含但不同心,一系列圆分别与大小定圆内切外切,若这些相邻的圆外切,则切点亦共圆.若两定圆外离,一系列圆(称其动... 问题大家知道,轴承中有两定圆同心,一系列圆(钢珠)分别与大小定圆内切外切,若这些相邻的圆(钢珠)外切,则切点共圆.若两定圆内含但不同心,一系列圆分别与大小定圆内切外切,若这些相邻的圆外切,则切点亦共圆.若两定圆外离,一系列圆(称其动圆)分别与两定圆均外切,且这一系列圆中两相邻的圆外切. 展开更多
关键词 切点 钢珠 外切 动圆
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