三角形形状判断的三大策略

正确理解三角形的六要素间的关系和熟练运用三角形的正、余定理,才能迅速判断三角形的形状．一般有两种思路：其一是化边为角,求出三个角之间的关系式;其二是化角为边,求出三条边之间的关系式．实施转化的主要策略是运用三角函数的关系式、向量和正（余）弦定理等．     

探究用六根铁条焊接成三棱锥的条件问题

2010年高考数学辽宁卷理科第12题:有四根长都为2的直铁条,若再选两根长都为a的直铁条,使这六根铁条在端点处相连能够焊接成一个三棱锥形的铁架,则a的范围是     

基于函数值的线性有理插值样条的区域控制

将插值曲线约束于给定的区域之内是插值与逼近的一个重要内容.本文讨论了一种带形状参数的线性有理插值样条的区域控制问题.给出将插值曲线约束于给定的折线及抛物线之上、之下或之间的条件.数值实例表明本文给出的条件在曲线设计中是有效的.     

平面P波在充满流体的任意形状孔洞上的散射

采用复变函数的保角映射方法和波函数展开法,根据孔洞与内部流体在界面上的应力和位移连续的边界条件,得到了充满流体的任意形状的孔洞对入射平面P波的散射问题的理论解,以椭圆形孔洞为例,着重分析了椭圆的长短轴之比、流体的存在与否以及入射频率对散射幅值的影响,结果表明:(1)圆形孔洞的分波波谱的峰值分布均匀,而椭圆形孔洞则不均匀;(2)散射P波的波谱主要集中于前进方向和背向一侧,而散射S波的波谱主要集中于与传播方向垂直的一侧;(3)入射波与孔洞的作用面积越大,散射P波的波谱也越大,而散射S波的波谱也越小;(4)当孔洞为圆形时,流体对散射P波和S波的波谱影响最小,即此时流体与孔壁的动力相互作用最小.     

关于B~0→π~-~+■_衰变过程分支比的计算

通过构造适当的关联函数,计算B→π跃迁形状因子fB+π(q2),fBπ(q2)和标量形状因子f0(q2),从而就能研究轻子质量对B0→π-+ν(l=e,μ,τ)衰变过程的影响.首次分别计算B0→π-e+νe,B0→π-μ+νμ,B0→π-τ+ντ衰变过程的分支比,并发现轻子质量me,mμ可以忽略,但重轻子质量mτ不能忽略,它对分支比计算有一定的贡献.把计算结果与最近的实验数据进行比较,发现理论结果与实验数据基本符合.     

A method to quantitatively estimate rainfall rate above water surface based on different spectra shapes generated by rainfall

A method combined with the nonlinear least-square regression to quantitatively estimate rainfall rate over water surface from the different spectrum shapes generated by rainfall in some frequency bands was presented.About 2000 min spectrum data generated by rainfall have been collected in an open-lake in Xiamen city.As a result,the spectrum shape in 15-30 kHz is fitted to log-linear law which allows classification of rain into three categories from the spectrum slope:no rain,drizzle(rainfall rate>10 mm/h)and heavy rain(rainfall rate>10 mm/h).Then,rainfall detection is made and rainfall rate is quantified in drizzle time with Logistic model in the frequency bands of 2-15 kHz,and the rainfall rate in heavy rainfall also quantified with log-linear regression.Finally,all measured spectrum data are used to calculate rainfall rate with the algorithm.The results show that the estimated rainfall rates are comparably coincident with the synchronously measured ones.The average error of accumulative rainfall per min is only l%-4%.     

表面活性剂胶束形状随浓度转变的核磁共振研究

运用核磁共振一维氢谱和自扩散实验方法研究了聚乙烯乙二醇异辛酚醚(TX-100)、十二烷基苯磺酸钠(SDBS)和十四烷基三甲基溴化铵(TTAB)三种不同类型的表面活性剂在重水溶液中的胶束形状转变, 发现它们在临界胶束浓度以上的各自相应浓度都有胶束形状的变化(由球状转变为椭球状或棒状). 在常温常压和没有其他添加剂的情况下, 表面活性剂溶液浓度高于其临界胶束浓度时, 球状胶束开始形成. 核磁共振一维氢谱和自扩散实验的结果显示, 当溶液浓度继续增加到一定程度时, 溶液中表面活性剂分子的化学位移和自扩散系数的变化速率都有明显的转折, 这说明溶液中球状胶束开始发生转变. 进一步通过仔细分析对比核磁共振一维氢谱中各基团谱峰, 发现表面活性剂胶束亲水表面上的质子的化学位移变化速率要远高于其疏水内核中的质子, 据此推测胶束形状很可能由球状转变为椭球状或棒状.     

Precipitate Contribution to the Acoustic Nonlinearity in Nickel-Based Superalloy

The influence of γ′ precipitate on the acoustic nonlinearity is investigated for a nickel-based superalloy, which is subjected to creep deformation. During creep deformation, the cuboidal γ′ precipitate is preferentially coarsened in a direction perpendicular to the applied stress axis. The length and shape factor of the γ′ precipitate increase with creep time. The increase of relative acoustic nonlinearity with increasing fraction of creep life is discussed in relation to the rafting of γ′ precipitate, which is closely related to the scattering and distortion of the acoustic wave     

A three-step system calibration procedure with error compensation for 3D shape measurement

System calibration, which usually involves complicated and time-consuming procedures, is crucial for any three-dimensional （3D） shape measurement system based on vision. A novel improved method is proposed for accurate calibration of such a measurement system. The system accuracy is improved with considering the nonlinear measurement error created by the difference between the system model and real measurement environment. We use Levenberg-Marquardt optimization algorithm to compensate the error and get a good result. The improved method has a 50% improvement of re-projection accuracy compared with our previous method. The measurement accuracy is maintained well within 1.5% of the overall measurement depth range.     

反射面形状对光纤位移传感器光强调制特性的影响

为了分析反射面形状对单模光纤照射的光纤位移传感器光强调制特性的影响,建立了反射面不为平面时的光强调制特性函数模型.该模型基于单模光纤出射光场为修正近似高斯分布假设,通过引入反射面形状因子,分析了反射面形状因子对光强调制特性的影响规律.仿真结果表明,随着凹形反射面曲率半径值的增大,传感器特性曲线的前坡无显著变化,而后坡灵敏度增大,线性范围减小;随着凸形反射面曲率半径值的增大,传感器特性曲线的前坡仍无显著变化,而后坡灵敏度减小,线性范围增大;当曲率半径增大的一定值时,反射面的非平面性影响较小,其作用趋近于平面.