基于反思性课堂教学模式 再思“一元一次不等式”

<正>教师的核心利益是个人的专业发展,青年教师更是如此.我校特别重视青年教师的培养,为进一步促进青年教师的专业发展,相继开展了"一人一课"、"推门听课"和"磨课赛课"等一系列活动.笔者在去年年底学校组织的"一人一课"活动中,运用学校倡导的"反思性课堂教学模式"设计了一节课,得到了听课评委和同行的一致好评."一元一次不等式"是新人教版初中数学七年级下册第九章"不等式与不等式组"的教学内容,本节课主要涉及一元一次不等式的解法.     

磨课,磨出精彩——以“二次函数复习(基础知识)”为例

2016年1月8日,东营市孙庆民名师工作室举行教学研讨活动,笔者作为成员之一执教的"二次函数复习(基础知识)"受到了听课老师的一致好评,也收到了较好的课堂教学效果,为此将教学设计的简案、课堂精彩生成及磨课过程中的一些体会和感悟进行简单梳理,求教于大家,欢迎各位专家和老师批评指正.一、教学简案(一)学习目标     

基于Gregory理论的光脉动法颗粒在线测量中背景光强的估算

用光脉动法在线测量颗粒浓度和粒度时,必须预知原始光强,但在在线测量中原始光强不仅难以测得,而且极易受环境影响产生变化。假设在短时间间隔内原始光强不发生变化,基于Gregory的光脉动法理论,可以得到颗粒数目浓度比。结合不同时刻浓度比以及透射光信号的标准偏差和均值,可以推导出原始透射背景光强。实验结果证明,该方法得到的原始透射背景光强和预先测得的原始透射背景光强吻合得很好,最大偏差小于1.1%。     

消光起伏自相关频谱法颗粒测量技术

消光起伏相关频谱法(TFCS)是一种新的颗粒测量方法。采用一束窄光束照射两相流系统,照射区中颗粒浓度的起伏所导致的透射光起伏信号中包含了颗粒的粒径和浓度信息,对光束的透过率信号作相关处理得到消光起伏相关频谱,可用来同时测量两相流中颗粒的粒径分布和体积浓度。由于在测量原理和结构上非常简单,这种方法可用来实现在线、实时测量。本文介绍消光起伏自相关频谱的测量原理,并给出部分实测结果。     

基于二阶滤波器的消光起伏谱颗粒测量结果

消光起伏频谱法是一种新的测量两相流系统中颗粒粒径分布和浓度的方法,装置简单,操作方便,适合实时、在线测量。采用二阶低通滤波器对起伏的透射率信号分析,得到消光起伏频谱实验数据,并利用改进的Chahine循环方法计算得到颗粒的粒径分布和浓度信息。重点讨论高浓度情况,包括对特征函数频率响应的修正和对其阶高修正两个方面,得到修正参量并运用到反演算法中从而得到正确的测量结果。测量结果表明,通过高浓度修正,消光起伏频谱法可以在很大的颗粒浓度动态范围得到合理的测量结果,其可测颗粒最大体积分数视颗粒的大小而定。     

Self-assembly of lamella-forming diblock copolymers confined in nanochannels: Effect of confinement geometry

The self-assembly of symmetric diblock copolymers confined in the channels of variously shaped cross sections(regular triangles, squares, and ellipses) is investigated using a simulated annealing technique. In the bulk, the studied symmetric diblock copolymers form a lamellar structure with period LL. The geometry and surface property of the confining channels have a large effect on the self-assembled structures and the orientation of the lamellar structures. Stacked perpendicular lamellae with period LLare observed for neutral surfaces regardless of the channel shape and size, but each lamella is in the shape of the corresponding channel’s cross section. In the case of triangle-shaped cross sections, stacked parallel lamellae are the majority morphologies for weakly selective surfaces, while morphologies including a triangular-prism-shaped B-cylinder and multiple tridentate lamellae are obtained for strongly selective surfaces. In the cases of square-shaped and ellipse-shaped cross sections, concentric lamellae are the signature morphology for strongly selective surfaces, whereas for weakly selective surfaces, stacked parallel lamellae, and several types of folding lamellae are obtained in the case of square-shaped cross sections, and stacked parallel lamellae are the majority morphologies in the case of ellipse-shaped cross sections when the length of the minor axis is commensurate with the bulk lamellar period. The mean-square endto-end distance, the average contact number between different species and the surface concentration of the A-monomers are computed to elucidate the mechanisms of the formation of the different morphologies. It is found that the resulting morphology is a consequence of competition among the chain stretching, interfacial energy, and surface energy. Our results suggest that the self-assembled morphology and the orientation of lamellae can be manipulated by the shape, the size, and the surface property of the confining channels.     

无限细光束中透射起伏时间相关频谱法高浓度效应的模拟

时间或空间相关透射起伏频谱法是近年发展起来的一种新的颗粒测量方法,它可同时测量颗粒粒径分布和浓度,并可用来进行在线、实时测量。研究表明,随着浓度增大,逐渐增强的高浓度效应会导致测量值越来越严重地偏离理论值。本文采用模拟计算方法讨论无限细光束照射下的时间相关透射起伏频谱法高浓度效应并给出部分实验验证。分析表明,无限细光束照射时的透射起伏相关频谱主要受到层结构效应的影响,颗粒交叠效应不明显,表明为随着颗粒浓度增大,转换函数(特征函数)逐渐偏离低浓度理论值并向无因次相关时间小的方向移动,阶高始终保持不变。     

一类无穷级数的求和

应用微分方程的理论和线性代数中的克莱姆法则,范德蒙行列式,得到一类无穷级数∑x<'mn>/(mn)!的求和公式,其中m是任意给定的正整数.