折一折，剪一剪

一变二,二变四,折一折就让魔法实现了。剪一剪,涂一涂,部分变成了整体的美图。     

基于“一题一课”视角的高三一轮复习课教学策略

本文以“直线与椭圆的位置关系”复习课教学为例,从“研究初置,思路铺垫”“一题多问,纵横联系”“一题多变,开拓思维”“逐层递进,探究本质”四个方面阐述了如何在高三一轮复习课中运用“一题一课”的教学方式提高课堂效率,以及如何在复习课教学中提升学生的数学核心素养.     

一题一世界 一法一风景——一道二元最值题的探究

本文对2020年天津高考数学第14题的解法、变式和推广进行了一些探究,拓展了思维,开阔了视野,得到了一些精彩的结论.真是"一题一世界,一法一风景".     

一篇刊文的一处错误

贵刊2007年11月上第8页文《辅助元素的作用及应用策略》有一处错误,现先将原文部分摘录如下：     

一分钟开口笑

一个谜语的十个答案 两只蚂蚁走在路上,突然看见一只很大的梨,打一国家名。答案一：蚂蚁甲：“咦,大梨？”（意大利） 答案二：“蚂蚁乙：“嘘,梨呀。”（叙利亚）答案三：蚂蚁甲：“噢,大梨呀。”（澳大利亚）     

一阶线性微分方程组的一种解法

利用矩阵知识给出了一阶线性微分方程组的一种用公式表达的解法,其优点在于一方面可以避免繁琐的复矩阵运算以及求复特征向量的运算,另一方面可以简化求解过程.     

一声反问改变了一节公开课的内容

常言道:教学有法,但无定法.教师的教学教案是有计划的,但是教学教案内容应顺从课堂的变化做相应改变.前不久有一位教师在上公开课时就遇到因一个学生一声提问终止了一节公开课内容,进而演变成了以学生的提问为内容的一堂探究课.在课后的评课中听课老师争议很大,有人戏称是"挂羊头卖狗肉"的公开课.下面就将当时的课堂情况整理成文,与诸位商榷     

巧用一例题解一名题

巧用一例题解一名题３０１６００天津市静海一中陈文明高级中学课本（甲种本）代数第二册Ｐ９１有一例７：已知ａ、ｂ、ｍ∈Ｒ＋，且ａ＜ｂ，求证：下面，我们利用此不等式证明波兰数学家斯坦国豪斯所编一道著名题目：其中所有字母都代表正数．证明注意到所有字母都是正数...     

一剪刀剪出一条正弦曲线

把一张纸卷到圆柱形的纸筒侧面上 ,卷上几圈 .用剪刀斜着将纸筒剪断 ,再把卷着的纸展开 .你就会看到 :纸的边缘线是一条波浪形的曲线 .你知道吗 ?这条曲线就是正弦曲线 !下面就来证明这一事实 .如图 1,设纸筒底面半径为 1单位长 ,截面 (椭圆面 )与底面所成的二面角为θ(定值 ) ,截口的中心为Ｏ′ .过Ｏ′作圆柱的直截面 ,交截口曲线于两点 .取其中一点为Ｏ ,在过点Ｏ且与圆柱侧面相切的平面内 ,以点Ｏ为坐标原点建立直角坐标系 ,使得ＯＹ轴是圆柱的一条母线 .设点Ｐ是截口曲线上任意一点 ,点Ｑ是点Ｐ在⊙Ｏ′所在平面内的射影 .过Ｑ作ＱＨ⊥…     

談談一元一次不等式的教学

一元一次不等式是初中代数教材的組成內容之一。在这篇文章里,想談一談我研究了这部分教材后的几点体会。首先要談一下在初中代数里为什么要学习一元一次不等式。这主要是为了滿足以后学习中的需要。例如,在初中代数中学习一元二次方程的根的判別式,学习函数的定义域和值域,以及在高中学习三角吋,都要用到不等式的知識。因此,不能把一元一次不等     

RECENT PROGRESS ON SPHERICAL HARMONIC APPROXIMATION MADE BY BNU RESEARCH GROUP ——In memory of Professor Sun Yongsheng

As early as in 1990, Professor Sun Yongsheng, suggested his students at Beijing Normal University to consider research problems on the unit sphere. Under his guidance and encouragement his students started the research on spherical harmonic analysis and approximation. In this paper, we incompletely introduce the main achievements in this area obtained by our group and relative researchers during recent 5 years （2001-2005）. The main topics are： convergence of Cesaro summability, a.e. and strong summability of Fourier-Laplace series; smoothness and K-functionals; Kolmogorov and linear widths.     

A unified approach to certain problems of best local approximation

In this paper we study best local quasi-rational approximation and best local approximation from finite dimensional subspaces of vectorial functions of several variables. Our approach extends and unifies several problems concerning best local multi-point approximation in different norms.     

Boundedness for commutators of multipliers on Hardy type spaces

In this paper, we study the commutators generalized by multipliers and a BMO function. Under some assumptions, we establish its boundedness properties from certain atomic Hardy space Hb^p（R^n） into the Lebesgue space L^p with p 〈 1.     

THE 8~(th) INTERNATIONAL CONGRESS ON INDUSTRIAL AND APPLIED MATHEMATICS

<正>August 10-14,2015Beijing,ChinaThe International Congress on Industrial and Applied Mathematics(ICIAM)is the premier international congress in the field of applied mathematics held every four years under the auspices of the International Council for Industrial and Applied Mathematics.From August 10 to 14,2015,mathematicians,scientists     

Towards Excellence in Science Chinese Academy of Sciences

<正>May 26,2014,Beijing Science is a human enterprise in the pursuit of knowledge.The scientific revolution that occurred in the 17th Century initiated the advances of modern science.The scientific knowledge system created by     

Bounds for the zeros of polynomials

Let P(z)=∑↓j=0↑n ajx^j be a polynomial of degree n. In this paper we prove a more general result which interalia improves upon the bounds of a class of polynomials. We also prove a result which includes some extensions and generalizations of Enestrǒm-Kakeya theorem.     

Boundedness of commutators related to Marcinkiewicz integrals on hardy type spaces

In this paper, the authors study the boundedness of the operator [μΩ, b], the commutator generated by a function b ∈ Lipβ(Rn)(0 ＜β≤ 1) and the Marcinkiewicz integrals μΩ, on the classical Hardy spaces and the Herz-type Hardy spaces in the case Ω∈ Lipα(Sn-1)(0 ＜α≤ 1).     

Jacobi polynomials used to invert the laplace transform

Given the Laplace transform F(s) of a function f(t), we develop a new algorithm to find an approximation to f(t) by the use of the classical Jacobi polynomials. The main contribution of our work is the development of a new and very effective method to determine the coefficients in the finite series expansion that approximation f(t) in terms of Jacobi polynomials. Some numerical examples are illustrated.     

Generalization of the interaction between Haar approximation and polynomial operators to higher order methods

In applications it is useful to compute the local average empirical statistics on u. A very simple relation exists when of a function f（u） of an input u from the local averages are given by a Haar approximation. The question is to know if it holds for higher order approximation methods. To do so, it is necessary to use approximate product operators defined over linear approximation spaces. These products are characterized by a Strang and Fix like condition. An explicit construction of these product operators is exhibited for piecewise polynomial functions, using Hermite interpolation. The averaging relation which holds for the Haar approximation is then recovered when the product is defined by a two point Hermite interpolation.