数学在素质教育中的作用

本文通过在教学中的实践,对数学为何能够成为素质教育的内容之一及数学如何起到素质教育的作用进行了分析论述.

一类五次Hamilton系统平面相图的拓扑分类

该文研究一类五次的哈密顿系统 .通过对其系数的分析、计算给出它所有可能的平面相图的拓扑类型 .从而为对它们的扰动系统的研究提供条件 .

用二阶导数的方法证明不等式

读了《中学数学教学》1982年第一期《应用导数和微分知识证明不等式》一文,很受启发。对文中所讨论的第二个问题“应用函数增减性的判别法证明不等式”作点补充。如果在给定区间(a、b)上不能判定一阶导数的符号,则可进一步求出二阶导数,从判别二阶导数的符号来判定一阶导数的符号,进而判定函数的增减性,得证所要证明的不等式。下面举例说明。例一若x〉0,则e^x〉1+x+1/2x^2。分析要证e^x〉1+x+1/2x^2,只要证e^x-1-x-1/2x^2〉0。令f(x)=e^x-1-x-1/2x^2,则f′(x)=e^x-1-x,在x〉0时,f′(x)

田间作业电机安全问题不可忽视

小型电机在农村被广泛用作田间脱粒,抗旱排涝等流动作业,深受农民的欢迎。但是,由于有些使用者对用电知识掌握不多,用电安全意识不足,每年均有不少的伤亡事故发生。为此,务请农民朋友在田间使用电机作业时切实注意以下几点。 1.合理选用导线,绝缘安全可靠。小型电机在田间流动作业的特点是:流动性大。

COMPLEMENT AND COMMENTARY OF"ALGEBRAIC CLASSIFICATION OF POLYNOMIAL SYSTEM IN THE PLANE

Abstract:Given a new classification of a bounded quadratic system and a commentary of our lassification of quadratic system and others,to correct some mistake occured in it.

CLASSIFICATION OF CUBIC KOLMOGOROV TYPE SYSTEM AND ITS APPLICATION

In this paper we use the theory of symmetric covariant tensor space and simultaneous classification method to successively classify the so-called cubic Kolmogorov type system. As an application of the result obtained, we characterize the local phase portrait of the isolated critical points at infinity for a class of that system, and give some necessary and sufficient conditions for all its trajectories to be bounded.

也谈函数零点

读了贵刊2010年第七期上的文章《从函数零点谈起》，颇受启发．该文从数和形两个方面揭示函数零点概念的本质，并且从三个方面将看似容易而应用中常发生误解的情况逐一剖析，进一步加深了对概念的理解，从而帮助学生完成函数零点概念从具体到抽象再到应用的完整认识过程．

KUKLES SYSTEM WITH TWO FINE FOCI

A Kukles system with two fine foci is considered. We prove if the two finefoci have the same order, then the highest order of each fine focus is two; if thetwo fine fool have different order, and if the highest order of one of these two finefoci is one, then the highest order of the other is five. Based on these results wecan further prove that a Kukles system with two fine foci can generate at leastsix limit cycles.