函数的图象与性质

本讲主要讨论函数图象的三种变换：平移、对称、翻折，并介绍如何利用函数的图象解题。     

物理学中图象的隐含与挖掘

图象不仅能清晰地将抽象的物理过程形象地表述出来，而且还可展示物理情境及反映各物理量的变化情况，既可使该变化的整体特征一目了然，又可将变化过程中的暂态“定格”，从而对变化过程中的某一瞬态进行深入研究。下面笔者从“点”“线”“面”“角”等角度人手，分析解决物理问题的方法，供同学们参考．     

振动图象与波动图象的区别和转化

在讨论波动图象与振动图象的区别与转化前，先来看一下波动与振动的区别与联系。     

高动态范围微通道板

导出微通道板动态范围的表达式,给出提高动态范围的几种可行途径,简要介绍一种高动态范围微通道板的主要特性。     

也谈慎用图象解法

文 [1 ]告诫人们 :代数问题应慎用图象解法 .下面再举三个例子说明为什么要“慎用图象解法” .例 1　求函数ｙ =2ｓｉｎｘ-13ｃｏｓｘ +2 的最大值和最小值 (文 [2 ]例 2 ) .关于例 1 ,文 [2 ]的解答是解法 1　引进参数ｕ =3ｃｏｓｘ,ｖ =2·ｓｉｎｘ,则点 (ｕ ,Ｖ)在椭圆ｕ23 +ｖ22 =1上 ,易知 (-2 ,1 )到椭圆的切线斜率是ｙ的最大值与最小值 ,设切线方程ｖ =ｋ(ｕ+2 ) +1 ,将其代入椭圆方程并化简为(3ｋ2 +2 )ｕ2 +(1 2ｋ2 +6ｋ)ｕ +(1 2ｋ2 +1 2ｋ -3 ) =0 ,由Δ =0得 ,ｋ2 +4ｋ -1 =0 ,所以ｋ =-2 ± 5 ,所以ｙｍａｘ =-2 +5 ,ｙｍｉｎ …     

电子自旋共振准三维图象的重建方法

根据投影切片原理, 设计了一个简单而有效的ESR图象重建算法和程序, 可利用样品的一集ESR谱, 方便地绘制出样品在某截面的自旋密度立体轮廓图、等值图和散点密度分布图等, 为分析和研究自旋密度的分布及其性质, 提供了直观依据。作为应用, 文中给出了石英杜瓦受紫外光辐照后产生的局部晶格缺陷——F心的空间分布图, 图中清楚表明, F心的浓度与辐照方向和辐照强度的密切关系, 与试验结果完全相符。     

α-酮戊二酸异烟腙稀土配合物的合成、表征和Gd-配合物的弛豫效率

为了进一步研究多羧基希夫碱配合物的磁共振成象造影活性 ,合成了α 酮戊二酸异烟腙 (H2 L)和它的 5个稀土配合物 ,通过元素分析 ,红外、紫外光谱、核磁共振氢谱和热分析对配合物进行了表征。配合物的分子通式为 :[Ln(HL) (H2 O) 2 ]Cl2 ·H2 O (其中Ln(Ⅲ ) =La ,Pr ,Nd ,Eu ,Gd)。此外 ,通过INVREC .Au程序用反转恢复法测定了Gd 配合物的弛豫效率 (R1) ,R1=10 2 2mmol·L- 1·s- 1,用Gd(DTPA)·nH2 O作对照 ,(R1) 0 =8 91mmol·L- 1·s- 1。     

SHAPE MEMORY EFFECT OF PU IONOMERS WITH IONIC GROUPS ON HARD-SEGMENTS

SMPU （shape memory polyurethane） non-ionomers and ionomers, synthesized with poly（c-caprolactone） （PCL）, 4, 4＇-diphenylmethane diisocyanate （MDI）, 1,4-butanediol （BDO）, dimethylolpropionic acid （DMPA） were measured with cyclic tensile test and strain recovery test. The relations between the structure and shape memory effect of these two series were studied with respect to the ionic group content and the effect of neutralization. The resulting data indicate that, with the introduction of asymmetrical extender, the stress at 100% elongation is decreased for PU non-ionomer and ionomer series, especially lowered sharply for non-ionomer series; the fixation ratio of ionomer series is not affected obviously by the ionic group content; the total recovery ratio of ionomer series is decreased greatly. After sufficient relaxation time for samples stretched beforehand, the switching temperature is raised slightly, whereas the recovery ratio measured with strain recovery test method is lowered with increased DMPA content. The characterization with FT-IR, DSC, DMA elucidated that, the ordered hard domain of the two series is disrupted with the introduction of DMPA which causes more hard segments to dissolve in soft phase; ionic groups on hard segment enhance the cohesion between hard segments especially at high ionic group content and significantly facilitate the phase separation compared with the corresponding non-ionomer at moderate ionic group content.