关于3-γ-临界图的Hamilton性

设ap→b是无终点的3－γ－临界图G的一条Hamiltonian路,文［3］证明了当d（a,b）＝3时,G是Hamiltonian图．本文进一步研究3－γ－临界图的Hamilton性,得到如下结果：如果d（a,b）＝2且｜T｜＝1或T＝N（a）∩N＋（b）,则G是Hamiltonian图．这里,T＝V（G）－［N（a）∪N（b）∪｛a,b｝］．     

四类平均数图解的进一步探究

问题 已知a，b都是正数，求证： 2/（1/a）＋1（1/b）≤√ab≤a＋b/2≤√（a^2＋b^2）/2,记为H≤G≤A≤Q，即：调和平均（H）≤几何平均（G）≤算术平均（A）≤平方根平均（Q）．这是高中数学第二册（上）中的一道习题，也是高中数学实验教材第五册第111页探究的一部分．本将给出两种非常直观的几何证法，并作进一步的引申．[第一段]     

关于纯指数Diophantine方程ax+dby=cz

设a、b,c,d、r是适合a^2＋db^2=c^r，gcd（a，db）=1，a恒等于-3（mod4），b恒等于2（mod4），d恒等于1（mod2），r恒等于1（mod2）。r〉1．（b／a）=-1，（d／a）=1的正整数，其中（＊／＊）是Jacobi符号，本文证明了：当c是奇素数时，方程a^x＋db^y=c^z仅有正整数解（x，y，z）=（2，2，r）     

化合物[HO-4，6-di—C（CH3）3-C6H2—2-CH2{（NCHCHN）CH2}]的合成与晶体结构

根据文献合成4,6-^tBu2-1-（HO）C6H2CH2Cl;利用亲核取代反应合成了一种芳氧功能化的咪唑[HO-4,6-di—C（CH3）3-C6H2-2-CH2{（NCHCHN）CH2}]。芳氧功能化的咪唑通过元素分析,核磁和单晶衍射表征。晶体结构表明其晶体属单斜晶系,空间群为P2 1／e,化学式为C18H26N2O,晶胞参数为a=18．694（3）A,b=10．2501（15）A,c=9．1536（15）A,α（deg）=90deg,β（deg）=103．006（4）deg,γ（deg）=90deg,V（A^3）=1708．9（5）A^3,Z=4,最终R1=0．1160,wR2=0．2263．     

化合物[HO-4,6-di-C(CH3)3-C6H2-2-CH2{(NCHCHN)CH2}]的合成与晶体结构

根据文献合成4,6-^tBu2-1-（HO）C6H2CH2Cl;利用亲核取代反应合成了一种芳氧功能化的咪唑[HO-4,6-di—C（CH3）3-C6H2-2-CH2{（NCHCHN）CH2}]。芳氧功能化的咪唑通过元素分析,核磁和单晶衍射表征。晶体结构表明其晶体属单斜晶系,空间群为P2 1／e,化学式为C18H26N2O,晶胞参数为a=18．694（3）A,b=10．2501（15）A,c=9．1536（15）A,α（deg）=90deg,β（deg）=103．006（4）deg,γ（deg）=90deg,V（A^3）=1708．9（5）A^3,Z=4,最终R1=0．1160,wR2=0．2263．     

两道竞赛题的统一推广

1．2005年中国数学奥林匹克国家集训队测验（一）第6题：设a，b，f，d〉0，且abcd=1，求证：1/（1＋a）^2＋1/（1＋b）^2＋1/（1＋c）^2＋1/（1＋d）^2≥1.[编者按]     

椭圆上的点与短轴端点距离最大值的探究

1问题的提出 已知椭圆x^2＋y^2/a^2=1（0〈d〈1）上与“短轴端点A（0，a）距离最大的点恰好是另一个端点A’（0，-a），则a的取值范围是（ ）．     

3．方程或方程组

1．如图1是一个数表，现用一个矩形在数表中任意框出4个数abcd，则：（1）a、c的关系是：＿＿；（2）当a＋b＋c＋d=32时，a=＿＿．     

你会解答吗?

初一年级1.已知：求A＋B2　求1＋2－3－4＋5＋6—7－8＋9＋…＋1990－199171992＋1993＋1994的值．3.已知：3a·5b·7c·19d＝1995，a、b、c、d是自然数，求（a＋b－c－d）1995的值．初二年级4．已知a2＋b2＝1，c2＋d2＝1995，试求（ac＋bd）2＋（ad－bc）2的值．一次不等式（组）你会解答吗?@杨燕$浙江绍兴钱清中学     

混配双核铜配合物[Cu（C12H8N2）（C7H5O2）（NO3）]2的合成及晶体结构表征

采用传统溶液法合成了二聚体配合物[Cu（C12H8N2）（C7H5O2）（NO3）]2,其晶体属三斜晶系,P1空间群;晶胞参数为：a=0．87921（10）nm,b=0．91004（10）nm,c=1．16484（13）nm,α=95．7980（10）°,β=111．0080（10）°,γ=95．7870（10）°,V=0．85613（17）nm^2,Z=2,Dc=1．656g／cm^3．铜离子周围有2个氮原子和4个氧原子与之配位形成畸变的八面体配位构型,其中,2个氮原子由邻菲罗啉提供,4个氧原子中3个由配体水扬醛提供,1个由硝酸根提供．两个配位单元通过水杨醛的酚羟基氧原子相连．     

卡思卡特城堡

It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,     

不同的吃喝玩乐

一、吃和喝吃苹果 eat an apple, 吃药 take medicine,吃糖 have some sweets,吃饭 have one's meals,吃馆子 dine out,吃惊 be surprised/     

漏洞百出的教育

Many college freshmen arrive woefully unprepared to do college work, and as disadvantaged populations continue to grow, the share of the American work force that has made it through college is expected to plummet. Many experts blame that educational failure not just on high schools but also on colleges. School & College, a special report by The Chronicle, looks at efforts to fix the system. What reforms would better prepare students for college? What should schools and colleges be doing differently? How should state and federal officials help?     

只要努力,不要后悔

There are numbers of crossroads on our long and unpredictable life journey where we totally have no idea about which direction to choose. No matter what our decision is, we should not turn back, but face the music and go ahead instead. I am this kind of girl who always does try without regretting, one example is how I dealt with my love.     

浅谈移民问题

Migration occurs behind a variety of reasons and has a great effect on the whole world. People may migrate in order to improve their economic situation, or in order to escape civil strife, persecution, and environmental disasters. The impact of migration is complex, bringing both benefits anddisadvantages. This paper briefly talks about the causes of migration, the allocation of benefits, and the ways in which individual countries and the international community deal with this important subject.     

Sister Carrie, an Adherent of Desires

Sister Carrie is one of the most controversial characters in American literature.Thought as a "fallen woman" firstly,she was defined as a "new woman" by some critics later. However, by digging into the motivaton behind the whole process of Carrie's "success", the relationship between Carrie and her creator (the author), the social conditions of then American, it can be found that Carrie has never been free-standing on her thought and she has never found her real-sdf even after becoming a famous actress. In a society dominated by mass consumerism Carrie is only an adherent of her own desires. She also is a representative of all those country girls flooded into cities, a symbol and a sacrifice of the urbanization of America in a time countryside was overcome by cities.     

Improvement of one-cycle controller by use of proportional integral differential controller

1.IntroductionOne-cyclecontrolmethod,whichwasproposedaboutonedecadeago[1],hasbecomeanattractivemethodinspecialfieldssuchaspowerfactorcorrection[2-6],switchingamplifiers[7,8],etc.Themainideaofthiscontrollerisbasedonintegrationofdiodevoltageinone-cycleandforcesittobeexactlyequaltothereferencevalue.Themainadvantageofthiscontrollerisitsrealtimeabilitytorejectthevariationofinputvoltage[1].Despitethisgreatability,ithasnogoodperformancesinrejectingofloaddisturbanceandfollowingreferencecommands.Espec…     

库克斯顿城堡

城堡, 是欧洲典型的建筑之一, 每个城堡都有一个美丽的传说或是一段历史。从本期开始, 我们将推出“城堡之旅”, 带各位读者去浏览、观赏欧洲各地的城堡, 开始一段文化与历史的旅途!     

The Reader Response Approach to Teaching of English Literature

During interview with English majors, it was found that a majority of students expressed disappointment with their experience of English literature classes. Students' dislike of learning English literature appears to be the major problem of teaching English literature in China. Reader response approach is a good way to solve this problem. In this paper, I explain the rationale behind the reader response approach, such as its origin, definition, features, assumptions, and strategies. Then I illustrate how reader response approach works as a teaching strategy by presenting several teaching models. At last I evaluate its usefuiness for teachers and present the advantages of reader response approach in Chinese context.