向量法解立体几何中点线面的位置关系问题

为适应高中数学教材改革的新情况 ,需要研究用向量方法求解立体几何的各种问题 .本文举例说明如何用向量方法解决立几中点、线、面的位置关系问题 .以此强化“向量”的应用价值 ,激发学生学习向量的兴趣 ,从而达到提高探索和创新能力之目的 .现举例说明如下 .1　根据共线向量定理证点共线欲证点共线 ,通常先构造共始点的向量 ,再根据共线向量定理证明 .图 1　例 1图例 1　已知 ,如图 1,长方体ＡＣ1中 ,Ｍ为ＤＤ1的中点 ,Ｎ在ＡＣ上 ,且ＡＮ :ＮＣ =2 :1,Ｅ为ＢＭ的中点 .求证 :Ａ1,Ｅ ,Ｎ三点共线 .证　ＡＢ =ａ ,ＡＤ =ｂ ,ＡＡ1=ｃ,则Ａ1…     

Zn_(1-x)Mn_xTe/ZnTe超晶格的多声子拉曼谱

Ｚｎ１－ｘＭｎｘＴｅ／ＺｎＴｅ超晶格的多声子拉曼谱陈辰嘉李海涛王学忠李晓莅孙允希王晶晶周赫田（北京大学物理系北京１００８７１）Ｍｕｌｔｉ┐ｐｈｏｎｏｎＲａｍａｎＳｐｅｃｔｒａｏｆＺｎ１－ｘＭｎｘＴｅ／ＺｎＴｅＳｕｐｅｒｌａｔｉｃｅＣｈｅｎＣｈｅｎｊ...     

用卡尔曼滤波-分光光度法分析α-羰基烯酮环二硫代缩酮化合物

本文将卡尔曼滤波－分光光度法用于α－羰基烯酮环二硫代缩酮化合物的分析。通过对卡尔曼滤波新息序列和滤波过程中浓度变化趋势的考察，表明该方法用于该类化合物的分析是可行的和可靠的     

p耗散算子的扩张

该文研究Ｂａｎａｃｈ空间中ｐ耗散算子的极大耗散扩张．通过建立自然边界空间，将ｐ耗散算子的极大耗散扩张与自然边界空间中极大负子空间—一对应，并给出表达式．利用这一工作本文给出一类Ｓｃｈｒｏｄｉｎｇｅｒ算子的扩张应用．     

MORPHOLOGY-STRUCTURE OF ORIENTED NONCRYSTALLINE POLYESTER STUDIED BY TWO-DIMENSIONAL WIDE ANGLE X-RAY SCATTERING

Morphology-structure of oriented noncrystalline polyesters has been studied using the parameters changes of the broad peaks in wide angle X-ray scattering (WAXS) with azimuth angles. Twe-dimensional WAXS show that the oriented noncrystalline polyester is made up of long plane-like chains arranged in opposition to each other; and these chains are composed of oriented atomic distances with the chain axes parallel to the drawing direction and are closely arranged into lateral ordering. It is concluded that the arrangements of both interchain and intrachain distances are in good order in the oriented direction, while in other directions, they are arranged nearly at random. This shows that the oriented noncrystalline polymers are materials with their ordered structure varying with directions.     

三角形内心的两个性质

文[1]和文[2]对三角形重心进行了探究,阅读之后受到启发,笔者发现三角形内心也有类似的性质,现行之成文与读者共同探讨.性质1如图1,设△ABC的三个顶点A,B,C所对的三边长分别为a,b,c.已知点I是△ABC的内心,过I作直线与AB,AC两边分别交于M,N两点,且AM=m AB,AN=n AC,则bm cn=a b图1 c.证因为点I是△ABC的内心,∴a IA b IB c IC=0[3],∴-a AI b(AB-AI) c(AC-AI)=0,∴(a b c)AI=b AB c AC,即AI=ba b c·AB ca b c·AC.又因为M,I,N三点共线(A不在直线MN上),∴AI=λAM μAN(且λ μ=1),∴AI=λm AB μn AC=ba b c·…     

1．55μmInGaAsP及其相应量子阱结构的LP－MOCVD生长

本文研究了用低压金属有机化合物汽相外延（ＬＰ－ＭＯＣＶＤ）技术在（１００）ＩｎＰ衬底上生长ＩｎＧａＡｓｐ体材料及ＩｎＧａＡＰ／ＩｎＰ量子阱结构材料的生长条件。三甲基镓（ＴＭ６３）、三甲基铟（ＴＭｈ）和纯的砷烷（Ａ８Ｈ３）、磷烷（ＰＨ３）分别用作Ⅲ族和Ⅴ族源，在非故意掺杂情况下，ＩｎＧａＡｓＰ材料的载流子浓度为３．６×１０１５ｃｍ－３；在液氦温度和室温下，与ＩｎＰ晶格匹配的ＩｎＧａＡｓＰ光致发光半峰宽分别为１９．２ｍｅＶ和６３ｍｅＶ；对外延层的组分及厚度均匀性分别进行了转靶Ｘ光衍射仪，低温光致发光和扫描电子显微镜分析，对不同阱宽的量子阱结构材料测出了由于量子尺寸效应导致光致发光波长随阱宽增加而红移现象。     

Tl－1223／Ag复合带长样的制备

本文研究了Ｔｌ－１２２３／Ａｇ复合带长样的制各，０．５９米的长样统制在中３１ｍｍ的氧化铝管上，其Ｊｃ值最高可达ｌ．１０×１０４Ａ／ｃｍ２（７７Ｋ，ＯＴ）．在ф９－３１ｍｍ的管径范围内绕制线圈，曲率半径对Ｊｃ的影响不大     

随机共振研究进展

全面介绍了随机共振的概念、机理、理论和实验研究的主要进展及研究现状，对随机共振研究的可能应用也做了富有建设意义的展望性介绍。     

THE BEAM TEMPERATURE AND ENERGY BROADENING OF A CHARGED-PARTICLE BEAM IN AN AXIALLY SYMMETRIC MAGNETIC FIELD

The beam temperature and energy broadening of a charged-particle beam in an axially symmetric mag-netic field are investigated in consideration of the space charge effect. The result shows that this kind of energy broadening consists of three parts: the thermal motion broadening, the space charge broadening, and the magnetic-field broadening. For the nonscalloping beam (including the space charge equilibrium flow and Brillouin flow) held by the equilibrium between the magnetic-field convergence and the space charge diver-gence, the energy broadening ΔE is directly proportional to the square of the equilibrium magnetic induction intensity B_e and the beam radius R, and inversely proportional to the mass of beam particles. For the im-mersed flow (magnetic shield coefficient M = 1), the magnetic field does not result in an energy broadening, and the energy broadening caused by space charge is dominant. The beam temperature is defined by the mean square deviation of the velocity of beam particles. The beam temperature in the θ direction is much higher, whereas the beam temperature in the meridian direction is much lower than the temperature of the thermal cathode.