对一道高考试题解法的拓展

20 0 3年上海市高考试题第 8题 :劈尖干涉是一种薄膜干涉 ,其装置如图 1所示 .将一块平板玻璃放置在另一平板玻璃之上 ,在一端夹入两张纸片 ,从而在两玻璃表面之间形成一个劈形空气薄膜 ,当光垂直入射后 ,从上往下看到的干涉条纹如图 2所示 .干涉条纹有如下特点 :( 1 )任意一条明条纹或暗条纹所在位置下面的薄膜厚度相等 ;( 2 )任意相邻明条纹或暗条纹所对应的薄膜厚度差恒定 .现若在图 1中抽去一张纸片 ,则当光垂直入射到新的劈形空气膜后 ,从上往下观察到的干涉条纹(A)变疏 .　　 (B)变密 .　　 (C)不变 .　　 (D)消失 .图 1　　　　　…     

二进制在函数凸性中的一个应用

通过二进制思想给出定义在区间上的半连续函数的凸性的一个等价性结论的证明,揭示了函数在半连续条件下凸性的两种定义的等价性,显示了半连续与凸性的本质上的相关性。     

一个概率问题的求解与推广

本文分别给出了一个典型概率问题的常规法求解和递推法求解,由常规法得到了一个组合数和式：^[N/2]∑K=0C^kn-k（1/2）^n-k=2/3＋1/3（-1/2）^n．由递推法可见其是求解与有关的概率问题的一种很有效的途径和方法。     

视觉——空间表征类型与数学问题解决

本实验意在区分视觉表象、空间能力与数学问题解决的相关差异性。     

一道电磁感应难题的图像巧解

电磁感应是力电综合考查的重要载体,命题以感应电动势、感应电流、安培力的计算为基点,联系牛顿定律、动量定理、动能定理、动量守恒定律和能量转化与守恒定律等重要物理规律,综合性特别强.求解的基本方略是在建立起清晰的物理模型的基础上,选择物理规律,建立有关的方程,最后应用数学方法(如解方程组、不等式等)进行计算或讨论.但是,由于电磁感应     

《数学解题研究》纲目

对数学解题研究的相关成果进行了综合、归纳和梳理,揭示数学解题以及数学解题过程的本质;总结出影响数学解题的五大要素为：知识、思维方法、经验、元认知和非智力因素.并围绕影响数学解题的五要素展开进一步的探讨.文章列出数学解题研究的纲目,以探索数学解题及其过程的规律.     

Some aspects of convexity

Conclusion In conclusion, we find that the Krein-Milman theorem is a simply stated and geometrically pleasing fact, which has manifold applications. It is also a powerful theoretical result, and to see its full strength, it should be stated as a result about compact convex sets in a general (possibly infinite-dimensional)locally convex topological space. The interested reader is directed to such standard texts as [2] for further details.     

The responsibilisation of teachers: a neoliberal solution to the problem of inclusion

This paper critically examines competing demands placed on teachers, with reference to recent inclusion policy in England and Australia. The authors draw on Michael Foucault’s analysis of power, neoliberalism(s) and biopolitics to explore the ways in which teachers are ‘responsibilised’ into negotiating and fulfilling demands related to both state-imposed accountability practices and social justice agendas. The economic context and associated ‘politics of austerity’ are taken into account in a critical exploration of how the (biopolitical) management of inclusion in the neoliberal present coincides with diminishing funding for social and educational expertise, with ever-increasing responsibilities being placed on teachers to fill this void. The responsibilisation of teachers in recent legislation and statutory guidance discursively constructs the teacher as a professional who takes responsibility for student and school performance, pastoral care, inclusion and social change. Responsibilisation relies on ‘dividing practices’, obliging some teachers to assess the conformity of colleagues to inclusion policy.     

背包问题的循环及并行解

对于背包问题这样一个经典的递归问题,发现了它的下需栈支持的循环解法,并由此说明其存在并行解。     

Asymptotic solution for a class of weakly nonlinear singularly perturbed reaction diffusion problem

Under appropriate conditions, with the perturbation method and the theory of differential inequalities, a class of weakly nonlinear singularly perturbed reaction diffusion problem is considered. The existence of solution of the original problem is proved by constructing the auxiliary functions. The uniformly valid asymptotic expansions of the solution for arbitrary mth order approximation are obtained through constructing the formal solutions of the original problem, expanding the nonlinear terms to the power in small parameter e and comparing the coefficient for the same powers of ε. Finally, an example is provided, resulting in the error of O(ε2).     

对一道高考题解完整性的探讨

近日笔者在翻阅考试题的过程中觉得对97高考题第24题的解答有必要作进一步的分析与讨论,现提出笔者的管窥之见,如有不妥之处,请指正.     

Teaching problem solving: An ATI study of the effects of teaching algorithmic and heuristic solution methods

This paper begins by characterizing typical training programs on “learning to think,” in terms of: their breadth, generality and specificity; the types of tasks and solution methods; and the guidance to students (assigning them to alternative programs; registering and reacting to their mistakes, requests for help, etc.). The paper then outlines some strengths and weaknesses of past research and sets out criteria appropriate for an aptitude-treatment interaction (ATI) study of the relationship between tasks, training methods and student attributes. Finally, an account is given of exemplary ATI experiments, administered via a computer, on the immediate and delayed effects of teaching algorithmic and heuristic solution methods. The tasks involve inductive reasoning (the extrapolation of number series) and deductive reasoning (the evaluation of syllogisms).     

对一道典型例题的重新解读

有机物的合成,是指通过化学反应使有机物的碳链增长或者缩短、官能团之间的互相转化、引入或减少官能团,从而制取不同类型、不同性质的有机物.     

用两个平衡条件解多体平衡问题

物理竞赛中常常会遇到几个相互作用又处于平衡的物体系．处理这类平衡问题时，有时用共点力的平衡条件求解，有时用绕固定转动轴的平衡条件求解，有时则同时用两个平衡条件求解．     

一类四阶两点边值问题对称正解的单调迭代法

利用单调算子的迭代方法,给出了一类四阶两点边值问题x(4)(t)+f(t,x(t))=0(0≤t≤1),x(0)=x’(0)=x(1)=x’(1)=0的对称正解.     

中学教师职业倦怠问题及应对策略

教师职业倦怠问题已经引起国内外研究者的普遍关注。理论研究和实践经验视角表明，中学教师职业倦怠现象有多种原因和表现，并具有很大危害。应对教师职业倦怠的策略应从教师个人和学校管理两个方面进行，以促进中学教师的身心健康发展。     

浅谈大学英语翻译教学之问题与解决途径

大学英语翻译教学在学生、教师、教材、课程设置、教学大纲及评价体系等方面均存在诸多问题,以此为视角探讨大学英语翻译教学体系构建,必将有助于提升非英语专业本科生英汉互译能力。     

大学教授活动“集群化”:问题与对策

大学教授活动“集群化” ,是指大学教授彼此联系、密切合作 ,采用“集群”的方式广泛地开展学术活动的现象。这一现象的出现与科学发展的日益专门化和规模化密不可分 ,它反映了大学在推动科学技术发展与进步过程中呈现出的明显优势。目前 ,我国大学由于缺乏必要的组织平台、规范的制度平台、合理的知识和技术平台以及客观的评价平台 ,大学教授的活动很难真正走向“集群化”。解决这一问题的关键在于科研组织的创新