对两道平面向量最值题的探究

本文以2020年高考中的两道平面向量最值题为例,分析试题的解法,并对背后隐藏的本质进行思考、探究,总结出一般性规律.     

三种版本教材中“平面向量基本定理”的比较及教学启示

平面向量基本定理是平面向量的核心内容,是深入学习向量知识的基础,本文研究不同版本教材中的这一内容,通过定理形成过程的比较,领悟编者的编写意图,体悟情境设置在定理形成过程中的作用,通过定理表述方法以及位置次序的区别,理解教材编排的逻辑关系,以进一步指导教学.     

巧思维切入,妙视角拓展——一道向量题的探究

破解平面向量问题的两个主要基本思路是:函数法与基底法,借助自身同时兼备“形”与“数”的双重身份,可以进行多层面、多角度的问题创设,融入其他相关的数学知识,吻合高考在知识交汇点处命题的指导精神.结合一道模拟题,从两个基本思路视角切入,多思维解决,多方向拓展,多规律总结,引领并指导数学教学与解题研究.     

一维梯状配合物{[Cu2(4,4''-bpy)3(p-Ab)2(H2O)2]·(NO3)2·4H2O}n的晶体结构

合成了一维分子梯状配合物{[Cu2(4,4'-bpy)3(p-Ab)2(H2O)2]·(NO3) 2·4H2O}n(4,4'-bpy=4,4'-联吡啶,p-Ab-=对氨基苯甲酸根离子),该配合物晶体属单斜晶系,P2(1)/c空间群,晶胞参数:a=1.110 7(5) nm,b=1.550 4(3) nm,c=1.450 9(3) nm,β=104.81(3)°,V=2.415 5(12) nm3,Z=2.铜离子周围有3个氧原子和3个氮原子与之配位,其中2个氧原子由对氨基苯甲酸的螯合氧原子提供,另一个氧原子由配位水提供,3个氮原子分别由三个4,4'-联吡啶提供.这六个原子在铜离子周围形成一个畸变的八面体配位环境.配体对氨基苯甲酸只有一种配位形式--双齿螯合,第二配体4,4'-联吡啶的两个氮原子均参与配位,将配合物组装成一维分子梯结构.     

Studies on the Binding Mode of Pinacyanol Chloride to Nucleic Acids

The interaction of pinacyanol chloride(PC) with nucleic acids has been investigated by a series of experiments.Extensive hypochromism,appreciable peak shifts,isosbestic points and new peaks of the product of binding to nucleic acids in the spectra were observed.They showed that the interaction between PC and nucleic acids occurred.The results from absorption spectra of DNA,DNA melting,electrophoresis and fluorescence polarization studies have indicated that PC binds to DNA in nonintercalative way.Consistent with the nonintercalation,the studies of fluorescence titration and absorption titration specified that the binding of PC to nucleic acids occurred by an outside stacking binding,in which nucleic acids served for acting templates,The fact that the new absorption peaks of bound PC at ca,485nm are just close to the absorption bands of Haggregate of PC at high concentrations without DNA further supports the outside stacking binding mode,In addition,other evidence indicated that the interaction between PC and nucleic acids is not purely electrostatic.     

高氯酸二水邻菲咯啉合铜配合物的合成和晶体结构

Crystal structure of the title compound， Cu(phen)(H₂O)₂·ClO₄(phen=1，10-phenanthroline)， was deter-mined by X-ray crystallography. It crystallizes in the monoclinic system， space group C2/c with lattice parameters a=1.49071(4)nm， b=1.38594(4)nm， c=0.70292(1)nm， β=108.509(1)° and Z=4; The Cu(Ⅰ) ion is chelated by a phen ligand and two aqua ligands in cis arrangement and assumes a C2 symmetric square-planar geometry with the CuN₂O₂ core. Eight Cu(phen)(H₂O)₂·ClO₄ molecules are interconnected by strong hydrogen bonds between coordinated water molecules and uncoordinated perchlorate anions to form a molecular scale cavities along c axis. The bond distances of Cu-N and Cu-O are 0.2003(4)nm and 0.1973(3)nm， respectively. CCDC： 197600.     

乙二胺双缩5-氯水杨醛Sclliff碱铜配合物的合成及晶体结构

合成了N,N′-二(5-氯水杨醛)缩乙二胺合铜配合物([Cu(5-ClSalen)]),用单晶X射线衍射法测定了晶体结构.其晶体属三斜晶系,空间群P-1,晶胞参数a=0.83285(1)nm,b=0.95170(4)nm,c=1.09304(4)nm,α=115.130(2)°,β=94.694(2)°,γ=101.127(2)°,V=0.75642(4)nm3,分子式C16H12Cl2CuN2O2,Mr=398.72,Z=2,Dc=1.751g/cm3.在配合物中,Cu处于两个氮原子和两个酚氧原子形成的平面四方场中.     

氟钽酸钾中碳存在形式的探讨

本文从氟钽酸钾（Ｋ２ＴａＦ６）的生产工艺论述了有机物存在于Ｄ２ＴａＦ６的可能性。通过Ｋ２ＴａＦ６低温通氧燃烧前后测定碳的结果比较，以及Ｘ射线能谱仪表面分析结果，证实了碳的来源是残留的有机萃取剂。