圆的参数方程中参数的几何意义应用几例

圆的参数方程中参数2π)的几何意义为圆周上任意一点与圆心连线绕圆心相对于x轴的正方向的旋转角(如图1所示)。下面我们举例说明的几何意义在解题中的应用。例1已知直线y=-(3x)~(1/3x)十3(1/3)十1与圆相交于A、B两点。试求AB弦所对的圆心角及A、B两点间的距离。解把圆的方程代入直线方程得     

Measurement of the argon-gas-induced broadening and line shifting of the barium Rydberg level 6s24d ¹D₂ by two-photon resonant nondegenerate four-wave mixing

We apply two-photon resonant nondegenerate four-wave mixing with a resonant intermediate state to the observation of the broadening and shifting of the barium Rydberg level 6s24d 1D2 by collision with argon.The collision broadening and shifting cross sections are measured.This technique is purely optical,and can investigate the pressure dependence of the transverse relaxation rate Γ21 between the Rydberg state and an intermediate state,as well as the transverse relaxation rate Γ20 between the Rydberg state and the ground state.     

5-氨基间苯二酸和1,10-邻菲咯啉镱配合物的合成、晶体结构及表征

<正>0引言近年来,利用弱的非共价作用力例如氢键、π-π堆积以及静电作用来组装结构新颖的超分子配位聚合物已成为配位化学和超分子化学的研究热点之一[1]。其中芳香羧酸的稀土超分子配位聚合物由于其优良的发光性能和在催化、分离和气体储存等方面展示了广阔的应用前景以及新颖的结构而倍     

Measurement of the argon-gas-induced broadening and line shifting of the barium Rydberg level 6s24d 1D2 by two-photon resonant nondegenerate four-wave mixing

We apply two-photon resonant nondegenerate four-wave mixing with a resonant intermediate state to the obser-vation of the broadening and shifting of the barium Rydberg level 6s24d 1^D2 by collision with argon. The collision broadening and shifting cross sections are measured. This technique is purely optical, and can investigate the pressure dependence of the transverse relaxation rate-P21 between the Rydberg state and an intermediate state, as well as the transverse relaxation rate F20 between the Rydberg state and the ground state.     

PP-g-MAEu离聚物的合成与表征

以过氧化二异丙苯(DCPO)为引发剂,将马来酸铕(MAEu)熔融接枝到聚丙烯上,合成不同接枝率的PP-g-MAEu离聚物,考察了反应时间、引发剂浓度、单体用量对接枝率的影响,在离聚物的1540～1643 cm-1之间的宽峰说明MAEu与PP发生了接枝反应;利用WAXD, POM和DSC考察了PP及其接枝物的结晶行为, PP-g-MAEu能促进β-型结晶的形成,接枝物的起始结晶温度移向高温,结晶速率加快,接枝物形成的球晶尺寸变小,而且球晶不规整;荧光光谱的结果表明PP-g-MAEu离聚物是一种单色性好、亮度高的稀土高分子光致发光材料.     

Characterization and Infrared Stealthy Properties of Two Schiff-base Compounds Derived from 1-Amino-2-hydroxypropane and Their Complexes

Single crystals of two Schiff base compounds 1 and 2 derived from 1-amino-2-hydroxypropane were obtained via condensation reaction of an amine and a reactive carbonyl group. The compounds were characterized by elemental analysis, IR and single-crystal X-ray diffraction. Compound 1(C(10)H(13)NO2) crystallizes in the monoclinic system, space group P21 with a = 4.487(9), b = 10.913(2), c = 9.886(19) ?, β = 97.823(3)o, V = 479.59(16) ?~3, Z = 2, Mr = 179.21, Dc = 1.241 g/cm^3, F(000) = 192, GOOF = 1.005, μ = 0.087 mm^-1, the final R = 0.0328 and wR = 0.0738 for 1721 observed reflections with I > 2σ(I). Compound 2(C(14)H(20)N2O2) crystallizes in orthorhombic system, space group Pbca with a = 6.295(2), b = 7.290(3), c = 30.519(11) ?, V = 1400.5(9)?~3, Z = 8, Mr = 248.32, Dc = 1.178 g/cm^3, F(000) = 536, GOOF = 1.125, μ = 0.079 mm^-1, the final R = 0.0871 and w R = 0.1748 for 1307 observed reflections with I > 2σ(I). Compound 1 exhibits a 3D supramolecular structure and compound 2 show a 3D supramolecular structure under hydrogen bonding interactions. Furthermore, the infrared stealthy performance of two Schiff base compounds and their Fe(Ⅲ) complexes were studied. The results show that their Fe(Ⅲ) complexes show lower infrared emissivity than corresponding Schiff base compounds, and the lowest infrared emissivity reaches to 0.657.     

层流等离子体制备球形氧化铝粉末的实验研究

为研究非转移弧层流等离子体制备面向新材料领域的μm级球形氧化铝粉末的能力,使用自制的非转移弧分段式阳极层流等离子体球化设备,以载气送粉的方式,对η相的不规则μm级三氧化二铝粉末进行等离子体球化处理,并采用均匀设计法,研究等离子体发生器和送粉器不同的工作参数对氧化铝粉末球化率的影响规律。结果表明,实验所采用的直流非转移弧层流等离子体发生器能有效制备球化率接近100%的高球化率球形氧化铝粉末。实验发现,高球化率、高分散性和粒径大小均匀的球形氧化铝粉末可在不同工艺参数组合下制备,并证明了采用非转移弧分段式阳极层流等离子体发生器可实现较低功率下制备较高球化率球形氧化铝的可行性。实验还通过XRD与PDF卡片索引技术对球化前后的氧化铝粉末进行了物相定性分析,发现η相的氧化铝粉末经射流作用转化成了Corundum型的氧化铝粉末。     

关于一类数列的最大项问题

题1 在数列{A_n}={11~n(n 2)/12~n}中第几项的值最大?这个最大项是多少? 题2 求数列中的最大项。题3 求证,数列中的第一项最大,并求出这个最大项。细心的读者不难看出以上三个题中的数列都是由一个正项无穷递缩等比数列{a_n}和一个正项无穷等差数列{b_n}的对应项之乘积组成的一个新数列{a_n·b_n}。对于这一类数列的最大项问题,我们有下面一个很漂亮的结论。定理数列{c_n}={a_n·b_n}。如果数列{a_n}为正项无穷递缩等比数列,{b_n}为正项无穷递增等差数列,那么 (1)当1/1-q≥b_1/d,取n为区间[1 /1-q-b_1/d,1