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高中数学解题中数形关系的应用
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作者 吴毓敏 《名师在线》 2022年第5期79-81,共3页
众所周知,数与形有着紧密的联系。解答高中数学习题时应用数形关系,可达到简化解题步骤、提高学习效率的目的。教师在授课过程中应注重为学生讲解相关的理论知识,并结合学生所学为其展示相关例题的解题过程,使其能够更好地把握应用数形... 众所周知,数与形有着紧密的联系。解答高中数学习题时应用数形关系,可达到简化解题步骤、提高学习效率的目的。教师在授课过程中应注重为学生讲解相关的理论知识,并结合学生所学为其展示相关例题的解题过程,使其能够更好地把握应用数形关系解题时的相关细节,促进其解题能力的进一步提升。文章结合高中数学教学经验,对高中数学中涉及的数形关系做了简单介绍,同时从平面和空间两个维度,优选相关例题,展示了数形关系在解题过程中的具体应用,以供参考。 展开更多
关键词 高中数学 解题 数形关系 应用策略
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信息技术环境下的高职数学教学实践与思考--以抛物线教学设计为例 被引量:3
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作者 莫平 《电脑知识与技术》 2014年第5期3057-3059,共3页
该文借助信息技术在抛物线教学设计中的案例,阐述了虚拟仿真、动态摸拟,图形计算、网络信息等现代信息技术在数学教学中的作用,揭示了信息技术环境下的数学教学实践探索与价值追求。
关键词 虚拟仿真 动态摸拟 数形关系 信息开放 抛物线教学
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2016年高考“直线和圆”专题命题分析 被引量:8
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作者 范美卿 张晓斌 《中国数学教育(高中版)》 2016年第9期2-8,共7页
2016年高考数学试题中,“直线和圆”的试题体现出解析几何数与形的基本关系,并在用数解形、用形解形、用形解数的多个试题和解决问题的方法使用上,体现了数形结合思想的力量.通过分析“直线和圆”的高考试题对学生的基础知识、基本... 2016年高考数学试题中,“直线和圆”的试题体现出解析几何数与形的基本关系,并在用数解形、用形解形、用形解数的多个试题和解决问题的方法使用上,体现了数形结合思想的力量.通过分析“直线和圆”的高考试题对学生的基础知识、基本技能、基本思想与方法考查的基本特点,对教师在培养学生的数学素养方面的尝试提出了几点建议. 展开更多
关键词 2016年高考 直线和圆 命题分析 数形关系 模拟题
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核心素养视域下的数学眼光及其教学策略研究 被引量:8
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作者 陈静安 《广东第二师范学院学报》 2020年第6期23-28,共6页
运用文献研究法和案例分析法,从数学的内涵界定、数学核心素养和数学新授课教学内容三个维度,探析数学核心素养视域下数学眼光的可操作性含义。研究显示,数学眼光是用运动、联系和变化的观点研究客观世界的空间形式与数量关系,进行数学... 运用文献研究法和案例分析法,从数学的内涵界定、数学核心素养和数学新授课教学内容三个维度,探析数学核心素养视域下数学眼光的可操作性含义。研究显示,数学眼光是用运动、联系和变化的观点研究客观世界的空间形式与数量关系,进行数学抽象获得数学概念或原理,进而学以致用分析与解决问题的眼光,其本质是“建立联系”的眼光。课堂教学中概念建构、原理发现及其证明和问题解决活动是建立联系的结果,其本质是对于研究对象蕴含的数与数、形与形、数与形之间关系的揭示与抽象。数学新授课中发展学生数学眼光需要基于建立联系的结构化教学策略;通过发展教师的数学眼光来提升课堂教学设计与组织的质量和效益,是发展学生数学眼光、培养数学素养的必由之路。 展开更多
关键词 核心素养 数学眼光 数量关系 图形关系 数形关系
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从数学教学浅谈如何培养创造性思维
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作者 朱忠军 《科技信息》 2010年第24期I0240-I0240,共1页
数学教学应注重揭示数学问题实质和数形关系,充分利用简单直观的几何构造法解决复杂抽象的代数问题,继而培养学生的创造性思维。
关键词 数形关系 几何构造法 创造性思维
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《平行四边形》教学反思
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作者 曾庆春 《新课程(教研版)》 2014年第5期54-55,共2页
通过学习平行四边形,培养学生逻辑推理能力和逻辑思维表达能力。
关键词 平行四边形 定义 定理 数形关系 思维
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Comparison of Growth and Development Patterns of Fenneropenaeus chinensis (Osbeck) Huanghai No.1 and the First Generation of Wild Population
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作者 Yuying HE Ping LIU +2 位作者 Qingyin WANG Jian LI Zhaoxia LI 《Agricultural Science & Technology》 CAS 2013年第2期348-353,共6页
[Objective] The aim was to estimate the developmental characteristics of Huanghai No.1 and the first generation of wild population in Fenneropenaeus chinensis for providing a reference for the development, feeding man... [Objective] The aim was to estimate the developmental characteristics of Huanghai No.1 and the first generation of wild population in Fenneropenaeus chinensis for providing a reference for the development, feeding management and breeding. [Method] Four growth models were used to fit the growth patterns of 15 morphological traits. The squared multiple correlation coefficient (R2 ) of the Cubic growth model was higher than the other three models, so it was selected to investigate the growth pattern and age in month at inflexion. [Result] Ages in month at inflexion of body weight in Huanghai No.1 and the G1 population were 2.87 (body weight at inflexion was 14.98 g) and 4.05 (body weight at inflexion was 26.26 g), respectively. In addition, Ages in month at inflexion of morphological characters in Huanghai No.1 were from 0.51 to 3.07. CL had the most rapid growth rate, followed by AW, CH, AH, CW, BL, FL, AL5, AL3, AL4, TL, AL2, AL1, and AL6. Ages in month at inflexion in the G 1 population were from 2.38 to 3.08, except that of AL2, and the order of achieving the most rapid growth rate was AL2, AL1, AL3, AL4, CH, AL5, CW, FL, AH, AW, TL, CL, BL, and AL6, that delayed one month than that of Huanghai No.1 except AL2 and AL1. [Conclusion] The development of Huanghai No.1 cultivar was advanced for about one month compared to that of the G1 population. 展开更多
关键词 Fenneropenaeus chinensis Growth traits Huanghai No.1 Morphological traits
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An experimental investigation into electromyography, constitutive relationship and morphology of crucian carp for biomechanical “digital fish” 被引量:2
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作者 ZHOU Meng YIN XieZhen TONG BingGang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第5期966-977,共12页
Currently, the integrated biomechanical studies on fish locomotion come into focus, so it is urgent to provide reliable and sys- tematic experimental results, and to establish a biomechanical "digital fish" database... Currently, the integrated biomechanical studies on fish locomotion come into focus, so it is urgent to provide reliable and sys- tematic experimental results, and to establish a biomechanical "digital fish" database for some typical fish species. Accord- ingly, based on the control framework of "Neural Control - Active Contraction of Muscle - Passive Deformation", the elec- tromyography (EMG) signals, the mechanical properties and the constitutive relationship of skin, muscle, and body trunk, as well as morphological parameters of crucian carp, are investigated with experiments, from which a simplified database of bio- mechanical "digital fish" is established. First, the EMG signals from three lateral superficial red muscles of crucian carp, which was evolving in the C-start movement, were acquired with a self-designing amplifier. The modes of muscle activity were also investigated. Secondly, the Young's modulus and the reduced relaxation function of crucian carp's skin and muscle were de- termined by failure tests and relaxation tests in uniaxial tensile ways, respectively. Viscoelastic models were adopted to deduce the constitutive relationship. The mechanical properties and the angular stiffness of different sites on the crucian carp's body trunk were obtained with dynamic bending experiments, where a self-designing dynamic bending test machine was employed. The conclusion was drawn regarding the body trunk of crucian carp under dynamic bending deformation as an approximate elastomer. According to the above experimental results, a possible benefit of body effective stiffness increasing with a little energy dissipation was discussed. Thirdly, the distribution of geometric parameters and weight parameters for a single experi- mental individual and multiple individuals of crucian carp was studied with experiments. Finally, considering all the above re- suits, generic experimental data were obtained by normalization, and a preliminary biomechanical "digital fish" database for crucian carp was established. 展开更多
关键词 crucian carp (Carassius auratus) "digital fish" experimental investigation electromyography (EMG) signal material mechanical property MORPHOLOGY
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