最值问题中的对称思想

最值问题是中学数学的一个基本问题,解决的方法很多,如分析法(单调性法)、判别式法、平均值不等式法、数形结合法、导数法等.对称性是数学的重要特征,几何、代数中充满着各种类型的对称美.充分挖掘问题中的对称性,常常能够启迪思维,启发人们探索解题思路,发现巧妙解法.下面通过例子说明用对称思想解决某些最值问题既快又准确.例1已知x,y,z∈R ,且x y z=1,求函数f(x,y,z)=4x 1 4y 1 4z 1的最大值.分析从表面上看,这是个三元函数的最值问题,在中学阶段,学生无法直接求解,深入分析f(x,y,z)的结构,不难发现函数f(x,y,z)的表达式对x,y,z具有对称…     

5kW横流CO2激光器输出偏振特性研究

对采用Π型折叠光腔的工业用５ＫＷ横流ＣＯ２激光器的输出偏振特性了实验研究和理论分析，结果表明：其输出为垂直于光腔平面的１００％的线偏振光。     

用飞秒激光脉冲研究聚合物膜中PbS超微粒的非线性光学性质

将ＰｂＳ超微粒掺进有机物中得到ＰｂＳ／Ｆｌｅｍｉｏｎ复合膜。室温下的线性吸收光谱表明其吸收带边与体相材料相比发生明显兰移，但没有观察到激子吸收峰。用飞秒激光脉冲做光源，用泵浦－探测方法记录了样品的时间分辨光克尔效应信号，据此得到其三阶非线性极化率、响应时间等一些重要数据，并对观察到的实验现象进行了分析讨论。     

INFLUENCE OF RELATIVE DENSITY AND PARTICLE SIZE ON THE SPECIFIC HEAT OF NANOCRYSTALLINE IRON

The specific heats of two nanocrystalline iron samples with different structures have been measured in the temperature range from 2 to 26 K. Experimental results show that the specific heat of nanocrystalline iron samples exhibits abnormal characteristic compared with that of standard bulk iron. The contributions of quantum size effect, surface mode and Einstein mode have been observed in the measurement. Through analyses, it is discovered that the relative density and particle size have a great influence on specific heat of nanocrystalline iron at low temperature.     

享受高品质流媒体音乐就这么简单玫瑰公爵贰号组合Cambridge Audio(剑桥) EVO 75 FOCAL Aria 906

说来也巧,在收到剑桥EVO 75一体机的前一天,有一位编辑部同事刚跟我"炫耀"了目前Apple Music无损音乐的效果.他用一台苹果笔记本电脑,再搭配一台中等价位的合并式Hi-Fi功放和一对书架音箱,简简单单就组成了一套可放于桌面的Hi-Fi系统."你看,现在想听高品质音乐就这么简单,哪里还用买什么CD啊."他忍不住感叹.我心想,这可不像发烧友会给出的评价,可见流媒体音乐确实势不可挡了.而剑桥EVO 75功放/流媒体播放一体机和FOCAL Aria 906书架音箱的到来,也让我能以足够简单便捷的方式来享受当前最高品质的流媒体音乐.     

气相色谱法测定饮用水及其源水中灭草松和2,4-滴

采用气相色谱ECD检测器同时分离检测水中灭草松和2,4-滴两种农药.水样中灭草松和2,4-滴在酸性条件下经乙酸乙酯萃取,然后用碘甲烷溶液酯化,生成较易挥发的甲基酯类衍生物,用毛细管气相色谱-电子捕获检测器分离测定.对衍生方式、温度和时间进行了优化,分别使用ECD和FPD检测器测定灭草松,而ECD检测灵敏度高.本法的最低检测质量浓度为灭草松0.15 μg/L,2,4-滴0.050 μg/L.方法灵敏度和精密度均满足分析要求.     

THE CRYSTAL STRUCTURE OF BAYLEYITE

The bayleyite crystallizes in monoclinic space group C_2~5h-P2_1/c with a=6.499(1), b=15.235(5), c=26.513(6), β= 92.92(2)°, Z=4. Intensities of 3430 independent reflections are collected with diffractometer using MoKα radiation. The crystal structure has been solved by the Patterson method and refined by block least square refinement for positional parameters and isotropic temperature factor of non-hydrogen atoms. The final R factor is 0.038.The result of crystal structure analysis shows that the structure consists of discrete [UO_2(CO_3)_3]~(4-) ions and Mg~(2 ) cations are between slab-like units, but they are not in a slablike unit. Its crystal struture is different from that of liebigite which was determined by Appleman. Complexes and cations between slab-like units and in a slab-like unit are connected by hydrogen bonds formed by water molecules.