圆锥与圆柱正交时求相贯线上的特殊点的讨论

用三种作图分析讨论圆锥与圆柱正交时相贯线上特殊点的正确求法,并用理论分析阐明特殊点的规律性。     

12V 180型内燃机滑油稀释原因分析

针对东方红35型机车12V180型发动机喷油器连接管接头漏油问题进行了分析,并提出了解决该问题的方案。     

“初等几何研究”课程改革与实践

随着数学教育的深入发展，高师数学教育课程的势在必行。“初等几何研究”课程的教学大纲需要重新制订，其课程体系和教学内容也需要大幅度调整，特别是将原来的“初等几何研究”课程和“高等几何”课程合并成为一门课程，并将该课程的教学目的从初等几何“研究”转到初等几何教学素质的培养上来。与此同时，编写中的教材《初等几何教学基础》也必须突出与数学教育改革思路相适应的特色。     

面向制造的板级电子电路产品多信息模型研究

Most electronics products use PCB to carry electronic circuits. This paper classifies information contained in PCB-based electronic circuits into several models: geometry model, physics model, performance model and function model. Based on this classification, a multi-information model of product is established. A composite model of product is also created based on object-orientation and characteristics of the product. The model includes a 3D geometry model, a physics model with integrated information that can be divided into microscopic and macroscopic information, a generalized performance model and a function model that are from top to bottom. Finally, a multi-unit analysis is briefly discussed.     

2003年全国高考中两道立体几何试题的评析

据改卷同志的介绍，今年高考中，理科的立几题得分率很低。为此。本文从解法分析着手．对此题作了深入地探讨，并提出了改进的意见。     

Assessing the effectiveness of learning solid geometry by using an augmented reality-assisted learning system

This study integrates augmented reality (AR) technology into teaching activities to design a learning system that assists junior high-school students in learning solid geometry. The following issues are addressed: (1) the relationship between achievements in mathematics and performance in spatial perception; (2) whether system-assisted learning can improve the spatial perceptions of students; (3) whether students with high, average and low academic achievement learn effectively after taught with system assistance; (4) system usability; (5) system task load; and (6) the relationship among various factors. Study participants were 76 students from Tainan City, Taiwan. Qualitative and quantitative data are obtained using pre- and post-system-assisted learning paper–pencil tests, a system usability scale, National Aeronautics & Space Administration Task Load indeX, and observations and focus group interviews. Analysis results indicate that students' math scores and spatial perception during the test closely correspond to each other. Additionally, system-assisted can improve the spatial perceptions of student. Regarding group differences related to the significance of impact, students with average and low academic achievements exhibit small and medium levels of effectiveness, but are insignificant in high academic achievement students. As for system usability, students with low academic achievements demonstrate a positive attitude toward the intensive programs provided by the system. However, the correlation between students’ learning effectiveness and system usability/task load is low.     

利用有限仿射几何的m-面构作结合方案和PBIB设计

取有限仿射几何AG(n,F_q)中的m-面(0相似文献   

试论向量在几何中的应用

向量在解决数学问题中有着广泛的用途。利用向量知识解决几何问题可以将“定性”研究转变为“定量”分析,使复杂问题简单化。从而,使学生掌握“数形”结合的方法,提高解决问题的能力。     

几何学中的升维类比与发现

数学的发现与数学的论证是数学的两大重要内容,如果没有数学的发现则论证就成了无源之水,无本之木;如果没有论证,命题的真假就不得而知,则发现就失去了意义。阐述了几何学中的升维类比与发现,一是命题的发现,二是论证的思想方法的发现。     

利用高等几何知识解决中学几何点共线和线共点问题探析

证明点共线和线共点问题是中学平面几何教学中的一个难点,对如何利用高等几何的理论解决这一问题进行了深入探析,给出了九种简便方法。