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语言转换与方法同构——必修1模块“函数”教学的整体设计 被引量:1
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作者 仇炳生 《教育研究与评论(中学教育教学)》 2014年第7期68-71,共4页
高中阶段必修1模块"函数"的教学,应该有一个整体的设计:既要突出函数的科学性、系统性,又要从学生已有的知识出发,帮助学生理解数学概念,逐步领会数学的思想和学习数学的方法。对于函数概念的教学,应该着重于初高中的衔接和集合语言... 高中阶段必修1模块"函数"的教学,应该有一个整体的设计:既要突出函数的科学性、系统性,又要从学生已有的知识出发,帮助学生理解数学概念,逐步领会数学的思想和学习数学的方法。对于函数概念的教学,应该着重于初高中的衔接和集合语言的应用;对于函数性质的教学,应该着重于培养观察能力、正确解读图形语言的能力以及图形语言与符号语言相互转换的能力;对于基本初等函数的教学,应该重在帮助学生进行自主探索和学习;对于函数应用的教学,应该具有复习或终端考核的性质。 展开更多
关键词 函数 教学设计 语言转换 方法同构
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同构法在解题中的应用浅析
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作者 叶建友 林日官 《中学数学(高中版)》 2022年第7期60-62,共3页
函数与导数内容历来是高考考查的重点也是难点,因其涉及面广、技巧众多、设问多变,需进行灵活的转化与化归和一定量的运算,往往是学生学习的“荆棘”,而要了解、熟悉该内容,并想一步步地达到熟练掌握的程度,则需要在学习的过程中注重积... 函数与导数内容历来是高考考查的重点也是难点,因其涉及面广、技巧众多、设问多变,需进行灵活的转化与化归和一定量的运算,往往是学生学习的“荆棘”,而要了解、熟悉该内容,并想一步步地达到熟练掌握的程度,则需要在学习的过程中注重积累,总结方法,探索内在规律,才能“窥一斑而见全豹”,不断深化理解.本文中以破解高考试题中较为热点的同构方法为例,分析数学中的那些辩证与统一、形式的对称和删繁就简的道理. 展开更多
关键词 函数与导数 同构方法 化繁为简 优化方法
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行列式展开理论的教学思路 被引量:5
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作者 窦永平 《甘肃科技纵横》 2006年第4期161-161,共1页
讨论非数学专业线性代数行列式展开理论的教学思路,并且应用关系映射反演思想方法简要论述行列式展开理论。
关键词 线性代数 行列式展开理论 教学思路 同构方法 关系映射反演
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A General Study of the Number of Assembly Configurations for Multi-Circuit Planar Linkages
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作者 杭鲁滨 金琼 +1 位作者 吴俊 杨廷力 《Journal of Southeast University(English Edition)》 EI CAS 2000年第1期46-51,共6页
This paper presents a general approach for determining the configuration number for any linkage: A kinematic cham (KC) can be divided into some basic kinematic chains (BKCs) and driving joints; there are only 33 kinds... This paper presents a general approach for determining the configuration number for any linkage: A kinematic cham (KC) can be divided into some basic kinematic chains (BKCs) and driving joints; there are only 33 kinds of BKCs with υ =1-4 independent loop, containing only R (revolute) joints and their configuration numbers are given; the configuration number of a KC equals to the multiplication of the configuration numbers of BKCs contained in the KC. 展开更多
关键词 basic kinematic chain configuration number homotopy method
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Chaos Control and Modified Projective Synchronization of Chaotic Dissipative Gyroscope Systems
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作者 Faezeh Farivar Mahdi Aliyari Shoorehdeli +1 位作者 Mohammad Teshnehlabs Mohammad Ali Nekoui 《Journal of Energy and Power Engineering》 2012年第1期90-100,共11页
This paper proposes the chaos control and the modified projective synchronization methods for chaotic dissipative gyroscope systems. Because of the nonlinear terms of the gyroscope system, the system exhibits chaotic ... This paper proposes the chaos control and the modified projective synchronization methods for chaotic dissipative gyroscope systems. Because of the nonlinear terms of the gyroscope system, the system exhibits chaotic motions. Occasionally, the extreme sensitivity to initial states in a system operating in chaotic mode can be very destructive to the system because of unpredictable behavior. In order to improve the performance of a dynamic system or avoid the chaotic phenomena, it is necessary to control a chaotic system with a periodic motion beneficial for working with a particular condition. As chaotic signals are usually broadband and noise like, synchronized chaotic systems can be used as cipher generators for secure communication. This paper presents chaos synchronization of two identical chaotic motions of symmetric gyroscopes. Using the variable structure control technique, control laws are established which guarantees the chaos control and the modified projective synchronization. By Lyapunov stability theory, control lows are proposed to ensure the stability of the controlled and synchronized system. Numerical simulations are presented to verify the proposed control and the synchronization approach. This paper demonstrates that synchronization and anti-synchronization can coexist in dissipative gyroscope systems via variable structure control. 展开更多
关键词 Dissipative gyroscope chaos control modified projective synchronization variable structure control.
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Comparisons of nozzle orifice processing methods using synchrotron X-ray micro-tomography 被引量:4
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作者 Zhi-jun WU Zhi-long LI Wei-di HUANG Hui-feng GONG Ya GAO Jun DENG Zong-jie HU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2012年第3期182-188,共7页
Based on the high flux synchrotron X-ray of the Shanghai Synchrotron Radiation Facility (SSRF), high precision 3D digital models of diesel nozzle tips have been established by X-ray micro-tomography technology, which ... Based on the high flux synchrotron X-ray of the Shanghai Synchrotron Radiation Facility (SSRF), high precision 3D digital models of diesel nozzle tips have been established by X-ray micro-tomography technology, which reveal the internal surfaces and structures of orifices. To analyze the machining precision and characteristics of orifice processing methods, an ap- proach is presented based on the parameters of the internal structures of nozzle orifices, including the nozzle diameter, the orifice inner surface waviness, the eccentricity distance and the angle between orifices. Using this approach, two kinds of nozzle orifice processing methods, computerized numerical control drilling and electric discharge machining, have been studied and compared. The results show that this approach enables a simple, direct, and comprehensive contrastive analysis of nozzle orifice processing methods. When processing a single orifice, the electric discharge machining method has obvious advantages. However, when there are multiple orifices, the error levels of the two methods are similar in relation to the symmetry of distribution of the orifices. 展开更多
关键词 Diesel nozzle Internal structures Orifice processing methods Synchrotron X-ray micro-tomography
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