巧用三角代换解无理方程

巧用三角代换解无理方程６２９１１１四川蓬溪群力中学邓甫修形如人呼万个人死万一。（ｍ＞０）型的无理方程，常用的解法是两次平方法，化为有理方程来解，运算量很大，且将产生高次方程．现介绍巧用三角代换来妙解这类方程，其方法是：令人ｘ）。ｍ’幻ｎ‘５，ｇ（ｘ）...     

电子信息类工程技术人才培养研究与实践

针对目前电子信息类工程技术人才培养现状及社会需求,分析了目前我国工程教育存在的问题,提出了解决这些问题的方法和措施,并结合这些措施,介绍了具体的做法,即以项目为依托将工程设计与工程实践融入到教学中,基于校内实习平台强化实习环节,将"大学生创新、创业训练计划"常态化、多元化.经过实践,该措施初见成效,以待进一步推广.     

黄河矿超结构的测定

黄河矿是在我国发现的一种钡铈氟碳酸盐新矿物,其理想化学式为BaCe[Fl(CO₃)₂],本矿物属三方晶系,利用四圆衍射仪收集强度数据,测得α=b=5.070(±0.003)?,c=38.408(±0.005)?,空间群为R3m. z=6,本文在前人工作的基础上,对该矿物进行了较为精确的测定,最后的偏离因子R=0.041。本文还对黄河矿赝结构及超结构的关系作了探讨,与前人工作进行了对比,对类似矿物的修正方案提出看法,对个别实验数据作了讨论。 关键词：     

Simultaneous Generation of Multi-Wavelength Laser from Nd:YAG Crystals in a Cruciform Cavity

A cruciform cavity is presented for multi-wavelength laser generation. On the basis of considering the optimal power ratio and good spatial overlap of the two fundamental beams, the maximum output power of 589 nm laser reaches 3.5 W when the pumping power of Nd：YAG A and Nd：YAG B are 311.5 W and 261.8 W, respectively. At the same time, the other wavelength lasers are also obtained with the output power distribution of 2.5 W at 66Onto, 15 W at 532nm, lOOmW at 1319nm and 240mW at 1064nm. The corresponding beam quality factors are M^2 x = 4.93, M^2 y = 5.01 at 589nm, M^2z = 4.51, M^2 y = 4.85 at 660hm, and M^2 x = 4.12, M^2 y = 3.96 at 532nm, respectively. The instabilities of the three visible lights are measured, which are also less than 2% within three hours.     

Molecular dynamics study of temperature-dependent ripples in monolayer and bilayer graphene on 6H—SiC surfaces

Using classical molecular dynamics and a simulated annealing technique,we show that microscopic corrugations occur in monolayer and bilayer graphene on 6H-SiC substrates.From an analysis of the atomic configurations,two types of microscopic corrugations are identified,namely periodic ripples at room temperature and random ripples at high temperature.Two different kinds of ripple morphologies,each with a periodic structure,occur in the monolayer graphene due to the existence of a coincidence lattice between graphene and the SiC terminated surface(Si-or C-terminated surface).The effect of temperature on microscopic ripple morphology is shown through analysing the roughness of the graphene.A temperature-dependent multiple bonding conjugation is also shown by the broad distribution of the carbon-carbon bond length and the bond angle in the rippled graphene on the SiC surface.These results provide atomic-level information about the rippled graphene layers on the two polar faces of the 6H-SiC substrate,which is useful not only for a better understanding of the stability and structural properties of graphene,but also for the study of the electronic properties of graphene-based devices.     

Stop band characteristics of a TESLA cavity coaxial-type HOM coupler

A TTF-type coaxial higher order modes (HOM) coupler has been used in a TESLA 9 cell cavity. It is impossible to measure the stop band characteristics of the HOM coupler with the cavity. A measurement device for the coaxial transmission line type for the HOM coupler has been designed at Peking University. Experimentally it was shown that the average voltage standing wave ratio of the coaxial transmission line is smaller than 1.08. The experimental results of the stop band characteristics of the TTF-type HOM coupler have been fitted for the simulation. This paper describes the design of the measurement device and discusses the experimental and simulation results of stop band characteristics of the HOM coupler.     

利用三角代换法解竞赛题

在解决有关的竞赛问题时,常借助于题目显现的某些结构特征,引入三角代换,将所给问题转化为含有角的问题,然后运用三角函数的变换和性质进行求解．三角代换法是一种实用有效的解题方法,同时具有技巧性强的特征．     

新题征展(113)

A 题组新编 1.(袁保金)在数列{an}中,如果存在非零常数T,使得am+T＝am对于任意的非零自然数m均成立,那么就称数列{an}为周期数列,其中T为数列{an}的周期.     

新题征展(62)

A 题组新编 1.已知函数y=f(x),对于任意实数x1和x2(x1≠x2),均有f(x1 x2)=f(x1)·f(x2),且f(0)≠0.