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1.
正一、利用公式C0n+C1n+C2n+C3n+…+Cn n=2n求和1.直接利用公式例1求和C1n+C3n+C5n+…解由于奇数项之和与偶数项之和相等,因此奇数项之和等于所有项之和的一半.所以C1n+C3n+C5n+…=1/2×2n=2n-1.2.由公式Cr n=Cn-r n进行转化例2求和1+2C1n+3C2n+…+(n+1)Cn n.解设S=1+2C1n+3C2n+…+(n+1)Cn n,其倒序和为S=(n+1)Cn n+nCn-1n+…+2C1n+1.考虑到Cr n=Cn-r n(0≤r≤n),将以上两式相加得2S=(n+2)C0n+(n+2)C1n+…+(n+2)Cn n=(n+2)·2n,所以S=(n+2)·2n-1  相似文献   

2.
滑冰     
兵bīnɡ兵binɡ隆lónɡ冬dōnɡ练liàn滑huá冰bīnɡ,脚jiǎo蹬dēnɡ冰bīnɡ鞋xié冰bīnɡ上shɑnɡ行xíng。冷lěnɡ风fēnɡ吹chuī冰bīnɡ冰bīnɡ更ɡènɡ硬yìnɡ,冰bīnɡ硬yìnɡ冰bīnɡ冷lěnɡ冰bīnɡ透tòu明mínɡ。冰bīnɡ刀dāo划huá冰bīnɡ冰bīn  相似文献   

3.
星xīn星xin睁zhēn着zhe眼yǎn睛jin,挂uà在zài黑hēi丝sī绒rón上sh n亮liàn晶jīn晶jīn,你nǐ们m en从cón上shàn往wǎn下xià望wàn,看kàn我wǒ可kě纯chún真zhēn?xīnxinzhēnzheyǎnjin星星睁着眼睛,嵌qiàn在zài宁nín谧mì的de天tiān空kōn闪shǎn闪shǎn亮  相似文献   

4.
一、赋值法例1证明下列等式:(1)C0n C1n C2n … Cnn=2n;(2)C0n C2n C4n …=C1n C3n C5n …=2n-1.证明:由二项展开式知(1 x)n=C0n C1n·x C2n·x2 … Cnn·xn.(1)令x=1,则(1 1)n=C0n C1n C2n … Cnn.即C0n Cn1 C2n … Cnn=2n.(2)令x=-1,则(1-1)n=C0n-C1n Cn2-Cn3 … (-1)n·Cnn.  相似文献   

5.
在某地的一份联考试卷上有这样一道压轴题:证明不等式:(1 1/n)n<(1 1/(n 1))n 1,n∈N*.所给参考答案为:从左边(1 1/n)n的通项入手可以得到:1Tr =C nr(1)n?r(1n)r=!!()!1!r!()!rnr n rnn r n r n?=?C nr(1n)r1(1)(1)()21!()21n n n r n rr n r n n n=???? ????=1(11)(12)(11)!rr  相似文献   

6.
缠线线     
有yǒu个ɡe女nǚ孩háir儿叫jiào钱qián钱qiɑn,帮bānɡ助zhù妈mā妈mɑ缠chán线xiàn线xiɑn。线xiàn线xiɑn长chánɡ长chánɡ绕rào钱qián钱qiɑn,钱qián钱qiɑn不bù停tínɡ缠chán线xiàn线xiɑn。长chánɡ长chánɡ线xiàn线xiɑn变biàn蛋dàn蛋dɑn,蛋dàn蛋dɑn掉diào地dì直zhí转zhuàn转zhuɑn。钱qián钱qiɑn满mǎn地dì抓zhuā蛋dàn蛋dɑn,摔shuāi了le钱qián钱qiɑn跑pǎo了le蛋dàn蛋dɑn。(正常的朗读速度为12秒,你能比这快多少?)缠线线@月月…  相似文献   

7.
朋朋端盆     
朋pénɡ朋penɡ端duān盆pén,盆pén里li有yǒu瓶pínɡ。一yì走zǒu一yí碰pènɡ,乒pīnɡ乒pīnɡ乓pānɡ乓pānɡ。盆pén怪ɡuài瓶pínɡ碰pènɡ盆pén,瓶pínɡ怪ɡuài盆pén碰pènɡ瓶pínɡ。朋pénɡ朋penɡ站zhàn稳wěn仔zǐ细xì看kàn咦yí,瓶pínɡ没méi  相似文献   

8.
HáishiSānɡjiāyàoZhānɡjiāxiānbǔqiánɡ.Zhānɡjiāyǒuzhīyánɡ,Sānɡjiāyǒudǔqiánɡ,ZhānɡjiādeyánɡzhuànɡdǎoleSānɡjiādeqiánɡ,SānɡjiādeqiánɡyāshānɡleZhānɡjiādeyánɡ,BùzhīshìZhānɡjiāyàoSānɡjiāxiānpéiyánɡ,HáishiSānɡjiāyàoZhānɡjiāxiānbǔqiánɡ.Zhānɡjiāyǒuzhīyánɡ,Sānɡjiāyǒudǔqiánɡ,ZhānɡjiādeyánɡzhuànɡdǎoleSānɡjiādeqiánɡ,SānɡjiādeqiánɡyāshānɡleZhānɡjiādeyánɡ,BùzhīshìZhānɡjiāyàoSānɡ…  相似文献   

9.
不等式的证明是中学数学的一个难点,通常利用数学归纳法.现介绍一种较简捷方法,即构造数列,利用数列的单调性给予证明.请看以下几例.例1对于大于1的自然数n,求证:3521212422n nnn∈,则An+1=32?5422n n??12?2n2n+1?n1+1.∴12121nnA n nA n n+=+?+22441144n nn n=+++>,∴An+1>An,∴{An}是单调递增数列.∴An≥A2=23?12=89>1,∴35212422n nn???>.设35211(1,)n242221B nn n Nn n=?????>∈,则Bn+1=23?5422n n??12?2n2n+1?2n1+1.∴21221214112214nnB n n nB n nn+=+?+?=?<,∴Bn+1相似文献   

10.
《红领巾》2008,(2):22
一yí个è女nǚ人rén进jìn城chén去qù卖mài牛niú奶nǎi。一yí路lù上shàn真zhēn无wú聊liáo啊,她tā决jué定dìn想xiǎn想xi n让ràn人rén高āo兴xìn的de事shì。她tā边biān走zǒu边biān想xiǎn:今jīn天tiān的de牛niú奶nǎi肯kěn定dìn能nén卖mài个è好h  相似文献   

11.
The communication of people partially is the communication of cultures. Culture has a direct effect on international commercial activities in all aspects. Different conceptions about time, space, equality, law and the like, lead people to deal with things in different ways. So to know cultures of the counterpart is to facil-itate our enterprises so as to have a smooth and successful communication in commercial activity.  相似文献   

12.
风的曲线     
Rosco and I wait for the fishermen to return.I sit at a wooden bench near the store at Mt.Baker Resort and watch the clouds change shape. Rosco has my belt around his neck and an eight foot tow chain hooked to a tree. Dogs must be on a leash. Ducks and rabbits are loose.  相似文献   

13.
Given a graph G,a subgraph C is called a clique of G if C is a complete subgraph of G maximal under inclusion and |C|≥2. A clique-transversal set S of G is a set of vertices of G such that S meets all cliques of G. The clique-transversal number, denoted as TC (G), is the minimum cardinality of a clique-transversal set in G. The clique-graph of G, denoted as K (G), is the graph obtained by taking the cliques of G as vertices, and two vertices are adjacent if and only if the corresponding cliques in G have nonempty intersection. Let F be a class of graphs G such that F={G|K(G) is a tree}. In this paper the graphs in F having independent clique-transversal sets are shown and thus TC (G)/|G|≤1/2 for all G ∈ F.  相似文献   

14.
汉字倒说     
汉字的六书,《说文》对“转注”一类,语焉不详。后世学者提及转注,也仅限于许慎所举出的例字。《汉字例说》一文,作者从转注的角度综合考虑,对部分现代常用字作了分析,跟传统的解释有所不同。希望能抛砖引玉,互相切磋,以推进学术研究。  相似文献   

15.
《海外英语》2007,(5):44-45
It is worthy of noting that, whilst Crookston Castle witnessed the earlier and happier portion of Mary's variegated life,  相似文献   

16.
Different nations have different social cultures, and the social culture of every nation is developing with the development of the nation, language is greatly influenced by social culture, which enables language to possess national and historical characteristics. Word is the smallest, independent, meaningful linguistic unit of language. It can well reflect the national and historical characteristics. From synchronic aspect, the social and cultural influence on word meaning is mainly embodied in conceptual and associative meanings of word. The incorrespondence of word meaning is a phenomenon that exists in both conceptual and associative meanings of word among different languages. From diachronic aspect, the development of social culture causes some changes of word meaning to some extent. Therefore, social culture plays a key role in vocabulary learning and mastery of a language.  相似文献   

17.
钱生钱!     
我们绝大部分人都同意一件事情——我们喜欢金钱。但是你对金钱的喜欢之情足够到让你创立一份事业么?.财富通常被人忽视,主要在于人们不能真正了  相似文献   

18.
《海外英语》2007,(4):36
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.  相似文献   

19.
20.
王菲 《华章》2007,(12):273-273
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.  相似文献   

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