数列

1.本单元知识点数列作为一种特殊的函数,是反映自然规律的基本数学模型,是高中数学非常重要的基础内容.又由于数列与函数、方程、不等式有着紧密而广泛的联系,可以用来考查学生对数学思想方法的理解以及综合运用知识的能力,因此它也是高考的一个重点.本单元学习重点包括:数列的概念,an与Sn之间的关系,等差数列的概念、通项公式与前n项和公式,等比数列的概念、通项公式与前n项和公式.本单元学习难点包括:递推数列的求解,数列     

变“废”为“宝”,教师的“法宝”——谈学生“错题集”的再应用

近读《中学数学》2014年第5期中许爱珍老师撰写的《用好错误资源,提高教学成效》,[1]联想自己平时教学过程的一种常态做法,让学生整理错题,意在考试前复习,不再重蹈覆辙;意在形成学生学习过程的一种反思,提升学生学习的能力.而在平时的实践中,笔者越来越感觉到错题集的作用不仅仅限于帮助学生,其实对于老师的教学与专业成长也十分有益.结合自己的教学实践与文1对比,颇有异曲同工之妙,愿与同行一起共鸣.     

流动注射-氢化物发生-原子吸收光谱法测定木糖中痕量砷

食品中砷的测定除国家标准中采用的氢化物发生-原子荧光光谱法外,还有银盐法、砷斑法和还原比色法[1]等,但后3种方法的灵敏度较低,样品处理和操作也较为繁琐,对于痕量砷较难得到准确的结果。氢化物发生-原子荧光光谱法检出限低,需有专用设备;火焰原子吸收光谱法测定[1-2]间接或富集后     

Propane-1,2,3-triyl tris(hydrogen sulfate): A mild and effcient recyclable catalyst for the synthesis of biscoumarin derivatives in water and solvent-free conditions简

A simple, efficient, and ecofriendly procedure has been developed using propane-l,2,3-triyl tris（hydrogen sulfate） as a catalyst for the synthesis of biscoumarin derivatives in water and solvent-free conditions. The significant features of the present protocol are simplicity, environmentally benign, high yields, no chromatographic separation, and recyclability of the catalyst.     

Synthesis of cyclopentenyl and cyclohexenyl ketones via [3 + 2] and [4 + 2] annulations of 1,2-allenic ketones简

In this paper, an efficient synthesis of cyclopentenyl ketones and cyclohexenyl ketones through tertiary phosphine catalyzed [3 ＋ 2] and [4 ＋ 2] annulations of 1,2-allenic ketones with activated alkenes has been developed. Compared with published synthetic methods on cyclopentenyl ketones and cyclohexenyl ketones, the protocols developed in this paper have the advantages such as readily available starting materials, mild reaction conditions and high efficiency.     

One-pot synthesis of various xanthene derivatives using ionic liquid 1, 3-disulfonic acid imidazolium hydrogen sulfate as an efficient and reusable catalyst under solvent-free conditions

In this study, 1,3-disulfonic acid imidazolium hydrogen sulfate （DSIMHS） is used as an efficient and reusable ionic liquid for the green, mild, and efficient synthesis of xanthenes under solvent-free conditions. Simple and easy work-up, low cost, green process, short reaction times and excellent yields of the products are the advantages of this procedure. Further, the catalyst can be recycled and reused at least for four times without a noticeably decrease in its catalytic activity.     

Synthesis and Crystal Structure of a New Pr(Ⅲ)–K(Ⅰ) Heterometallic Oxalate Coordination Polymer

A new 3D heterometallic coordination polymer, namely [K2Pr2(C2O4)4·H2O]n(1), has been successfully synthesized under hydrothermal conditions. X-ray single-crystal diffraction determination reveals that 1 crystallizes in monoclinic system, space group P21/n with a = 12.060(4), b = 8.493(3), c = 15.776(5)(A), β = 93.235(3)°, V = 1613.4(9) 3, Z = 4, Mr = 730.12, Dc = 3.006 Mg/m3, μ = 6.581 mm-1, F(000) = 1368, the final R = 0.0283 and w R = 0.0866 for 2939 observed reflections with I 2σ(I). Complex 1 features an unusual 3D heterometallic coordination framework, in which oxalates exhibit three different coordination behaviours. Moreover, powder X-ray diffraction and thermal properties for 1 have also been investigated.     

(英)硫酸氢钾高效催化一锅法合成5-未取代的3,4-二氢嘧啶-2(1H)-酮

无溶剂条件下,硫酸氢钾可有效催化芳香醛、苯乙酮衍生物和脲的三组分"一锅法"Biginelli反应来合成5-未取代的3,4-二氢嘧啶-2(1H)-酮。确定了优化反应条件。产品结构经IR、1H NMR、MS和元素分析进行表征。     

氨基乙酸金属配合物稳定常数测定实验的改进

通过改用自动电位滴定仪在氮气保护和恒温条件下准确地对氨基乙酸-硝酸铜体系进行滴定和数据拟合,正确掌握有机酸碱离解常数和金属配合物稳定常数测定的科学方法。