高考题汇编数列

高考 题 快递公司问题件快递公司问题件货款处理关于圆的周长面积重点题型关于解方程组的题及答案关于南海问题 汇编数列 2010年高考数学 试题 中考模拟试题doc幼小衔接 数学试题 下载云南高中历年会考数学试题下载N4真题下载党史题库下载 分类汇编——数列 S5(2010浙江理数)(3)设为等比数列的前项和，，则 a80aa，,S,n,,n25nS2 ,8(A)11 (B)5 (C) (D) ,11 3解析:解析:通过，设公比为，将该式转化为，解得=-2，带入qq80aa，,8a，aq,02522所求式可知 答案 八年级地理上册填图题岩土工程勘察试题省略号的作用及举例应急救援安全知识车间5s试题及答案 选D，本题主要考察了本题主要考察了等比数列的通项公式与前n项和公式，属中档题 (2010全国卷2理数)(4).如果等差数列中，，那么 aaaa，，,12aaa，，，,...,,n345127(A)14 (B)21 (C)28 (D)35 【答案】C 【命题意图】本试题主要考查等差数列的基本公式和性质. 7()aa，17【解析】 aaaaaaaaa，，,,,？，，，,,,312,4,728？3454412742 a(2010辽宁文数)(3)设为等比数列的前项和，已知，，32Sa,,32Sa,,Sn,,n3423n 则公比 q, (A)3 (B)4 (C)5 (D)6 a4aaq,？,,4,4解析:选B. 两式相减得， ，. 3aaa,,43343a3 (2010辽宁理数)(6)设{a}是有正数组成的等比数列，为其前n项和。已知aa=1, S,7,Sn243n S,则 5 15313317(A) (B) (C) (D) 2442 【答案】B 【命题立意】本题考查了等比数列的通项公式与前n项和公式，考查了同学们解决问题 的能力。 1242【解析】由aa=1可得，因此a,，又因为Saqq,，，,(1)7，联力aq,12411312q 14(1),,5131112S,,两式有(3)(2)0，,,，所以q=,所以，故选B。 5124qq1,2investigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary employees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between consumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, real estate, loan-sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Strict precautions against (2010全国卷2文数)(6)如果等差数列中，++=12，那么++•••…+= aaaaaaa,,n345127(A)14 (B) 21 (C) 28 (D) 35 【解析】C:本题考查了数列的基础知识。 1aaaaaa，，，,，，，,,？7()728127174aaa，，,12a,434542? ～? (2010江西理数)5.等比数列中，，=4，函数 aa,2a,,n18 '，则( ) fxxxaxaxa,,,,()()()？f0,，，，，128 691215A( B. C. D. 2222 【答案】C 【解析】考查多项式函数的导数公式，重点考查学生创新意识，综合与灵活地应用所学的数学知 '识、思想和方法。考虑到求导中，含有x项均取0，则只与函数的一次项有关;得:f0fx，，，， 412。 aaaaaa,,,,？()2123818 111,,，，，，,？lim1,,2nx,,333,,(2010江西理数)4. ( ) 53 32A. B. C. 2 D. 不存在 【答案】B 1,1n33【解析】考查等比数列求和与极限知识.解法一:先求和，然后对和取极限。 ,lim()n,，,12,13 2{}aa(2010安徽文数)(5)设数列的前n项和，则的值为 Sn,n8n (A) 15 (B) 16 (C) 49 (D)64 5.A aSS,,,,,644915【解析】. 887 aSSn,,,(2)【方法技巧】直接根据即可得出结论. nnn,1 aaa，,10a(2010重庆文数)(2)在等差数列中，，则的值为 ,,n195 (A)5 (B)6 (C)8 (D)10 2parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit 解析:由角标性质得，所以=5 aaa，,2a1955 S5(2010浙江文数)(5)设为等比数列的前n项和，则 s{}a80aa，,,25nnS2(A)-11 (B)-8 (C)5 (D)11 3解析:通过，设公比为，将该式转化为，解得=-2，带入所求式qq80aa，,8a，aq,02522可知答案选A，本题主要考察了本题主要考察了等比数列的通项公式与前n项和公式 (2010重庆理数)(1)在等比数列中， ，则公比q的值为 aaa,8,,n20102007 A. 2 B. 3 C. 4 D. 8 a32010解析: ,q,8？q,2a2007 (2010北京理数)(2)在等比数列a中，，公比q,1.若，则m= a,1aaaaaa,,,n1m12345(A)9 (B)10 (C)11 (D)12 答案:C a)已知数列(2010四川理数)(8的首项，其前项的和为，且，a,0SSa,，2Sn,,nnn，111n an则 lim,,,nSn 1(A)0 (B) (C) 1 (D)2 2 SSa,，2SSa,，2解析:由,且 nn，11nn，，211 作差得a,2a ，，n2n1 又S,2S，a，即a，a,2a，a , a,2a 211211121 故{a}是公比为2的等比数列 n2n,1nS,a，2a，2a，……，2a,(2,1)a n11111 n,1a2a1n1,,则 limlimnnn,,,,,Sa(21)2n1 答案:B aas9ss,(2010天津理数)(6)已知是首项为1的等比数列，是的前n项和，且，,,,,nnn36 3trict precautions againstloans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Ssharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers -l estate, loanr loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, reaonsumeonsumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, cl policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between cationaof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and nes and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proshould strictly distinguish between regular employees, temporary employees, categoriinvestigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and ,,1则数列的前5项和为 ,,an,, 15313115(A)或5 (B)或5 (C) (D) 816168 【答案】C 【解析】本题主要考查等比数列前n项和公式及等比数列的性质，属于中等题。 3619(1q)1-,q13显然q1，所以，所以是首项为1，公比为的等{}=12,，,,qq,2a1-q1,qn 151(),312比数列， 前5项和. T,,51161,2 【温馨提示】在进行等比数列运算时要注意约分，降低幂的次数，同时也要注意基本量法的应用。 (2010广东理数)4. 已知为等比数列，S是它的前n项和。若， 且与2{}aaaa,,2aan231n47 5的等差中项为，则= S54 A(35 B.33 C.31 D.29 4(C(设{}的公比为q，则由等比数列的性质知，，即。由与aaaaa,,,,2a,2aa231414n4 5515151aa，,，22aa,，,,，,,(2)(22)2a的等差中项为知，，即( 477474424244 11a1337q,aaqa,,，,2a,16 ?，即(，即( q,,411128a84 ,2010广东文数, 4parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit (2010全国卷1文数)(4)已知各项均为正数的等比数列{}，=5，=10，则aaaaaaa789n123 = aaa456 5242(A) (B) 7 (C) 6 (D) 4.A【命题意图】本小题主要考查等比数列的性质、指数幂的运算、根式与指数式的互化等知识， 着重考查了转化与化归的数学思想. 33 【解析】由等比数列的性质知，10,aaaaaaa,,,()5 aaaaaaa,,,() 123 1 3所以, aa,5028 13336aaaaaaaaa,,,,,()()(50)52 所以 456465528 aaaaaa(2010全国卷1理数)(4)已知各项均为正数的等比数列{a}中，=5，=10，则789n123aaa= 456 5242 (A) (B) 7 (C) 6 (D) 1aa,2aa(2010湖北文数)7.已知等比数列{}中，各项都是正数，且，成等差数列，则32m12 5trict precautions againstloans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Ssharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers -l estate, loanr loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, reaonsumeonsumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, cl policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between cationaof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and nes and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proshould strictly distinguish between regular employees, temporary employees, categoriinvestigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and aa，910 ,aa，78 A. B. C. D 12，12,322，322, (2010山东理数) 2n3na(2010安徽理数)10、设是任意等比数列，它的前项和，前项和与前项和分别为n,,n ，则下列等式中恒成立的是 XYZ,, XZY，,2YYXZZX,,,A、 B、 ，，，， 2YYXXZX,,,YXZ,C、 D、 ，，，， 10.D n,1【 分析 定性数据统计分析pdf销售业绩分析模板建筑结构震害分析销售进度分析表京东商城竞争战略分析 】取等比数列1,2,4,令得XYZ,,,1,3,7代入验算，只有选项D满足。 【方法技巧】对于含有较多字母的客观题，可以取满足条件的数字代替字母，代入验证，若能排除3个选项，剩下唯一正确的就一定正确;若不能完全排除，可以取其他数字验证继续排除.本 6parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit 题也可以首项、公比即项数n表示代入验证得结论. (2010湖北理数)7、如图，在半径为r 的园内作内接正六边形，再作正六边形的内切圆，又在此内切圆内作内接正六边形，如此无限继续下去，设为前n个圆的面积之sn lim和，则= snn,, 82222A( 2 B. C.4 D.6 ,r,r,r,r3 a(2010福建理数)3(设等差数列的前n项和为,若,,则当取最a,,11aa，,,6SS,,n46n1n小值时,n等于 A(6 B(7 C(8 D(9 【答案】A dd,2【解析】设该数列的公差为，则aaadd，,，,，,，,,282(11)86，解得， 461 nn(1),22n,6Snnnn,,，，,,,,,11212(6)36所以，所以当时，S取最小值。 nn2 【命题意图】本题考查等差数列的通项公式以及前n项和公式的应用，考查二次函数最值的求法及计算能力。 2010年高考数学试题分类汇编——数列 11nnnnNxx,,，,，2,,(2)(3)(2010浙江理数)(14)设 23 2n,，，，,,,，aaxaxax， 012n akn(0),,T将的最小值记为，则 kn 7trict precautions againstloans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Ssharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers -l estate, loanr loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, reaonsumeonsumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, cl policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between cationaof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and nes and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proshould strictly distinguish between regular employees, temporary employees, categoriinvestigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and 1111 TTTTT,,,,,,,,,,,,0,,0,,,,2345n33552323 其中=__________________ . Tn 解析:本题主要考察了合情推理，利用归纳和类比进行简单的推理，属容易题 332333233(2010陕西文数)11.观察下列等式:1，2,(1，2)，1，2，3,(1，2，3)，1，2， 333，4, 2333332(1，2，3，4)，…，根据上述规律，第四个等式为1，2，3，4，5,(1，2，3，4，5)(((((2(或15). 解析:第i个等式左边为1到i+1的立方和，右边为1到i+1和的完全平方 3333322所以第四个等式为1，2，3，4，5,(1，2，3，4，5)(或15). ((((( (2010辽宁文数)(14)设为等差数列的前项和，若，则{}aSS,,324，Sn36nn 。 a,9 32，,Sad,，,3331,a,,1,,21解析:填15. ,解得， ？,，,aad815.,,9165，d,2,,Sad,，,62461,2, ana(2010辽宁理数)(16)已知数列满足则的最小值为__________. aaan,,,33,2,,,n11nn，n 21 【答案】 2 【命题立意】本题考查了递推数列的通项公式的求解以及构造函数利用导数判断函数单 调性，考查了同学们综合运用知识解决问题的能力。 2【解析】a=(a-a)+(a-a)+…+(a-a)+a=2[1+2+…(n-1)]+33=33+n-n nnn-1n-1n-2211 a33n,，,n1所以 nn 33,33，,n1，,10设，令，则在上是单调递增，在fn(),fn(),fn()(33,)，,2nn 上是递减的，因为n?N,所以当n=5或6时有最小值。 fn()(0,33)+ aaaa53632121566n,,,,又因为，，所以，的最小值为 n5566262(2010浙江文数)(14)在如下数表中，已知每行、每列中的树都成等差数列， 那么，位于下表中的第n行第n+1列的数是 。 8parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit 2答案: n，n (2010天津文数)(15)设{a}是等比数列，公比，S为{a}的前n项和。记q,2nnn 17SS,*nn2设为数列{}的最大项，则= 。 TTnTnN,,,.nn0n0a，n1 【答案】4 【解析】本题主要考查了等比数列的前n项和公式与通项及平均值不等式的应用，属于中等题。 nn217[1(2)][1(2)]aa,,11,2nn1(2)17(2)16,，1212,,T,,,nnna(2)12(2),1 11616nnn因为?8，当且仅当=4，即n=4时取等号，,,，,，[(2)17](2)(2)nn,(2)12(2) 所以当n=4时T有最大值。 0n n【温馨提示】本题的实质是求T取得最大值时的n值，求解时为便于运算可以对进行换(2)n 元，分子、分母都有变量的情况下通常可以采用分离变量的方法求解. ,anN,an,(2010湖南理数)15(若数列满足:对任意的，只有有限个正整数m使得成,,nm ,,a()am立，记这样的的个数为()a，则得到一个新数列(例如，若数列是,,,,nnn ,,2n,N()a1,2,3,…，n…，则数列是0,1,2,1,…，n,…(已知对任意的，an,，则,,nn ,()a, ， 5 9trict precautions againstloans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Ssharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers -l estate, loanr loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, reaonsumeonsumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, cl policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between cationaof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and nes and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proshould strictly distinguish between regular employees, temporary employees, categoriinvestigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and ,, ( (())a,n a(2010福建理数)11(在等比数列中,若公比,且前3项之和等于21,则该数列的通项q=4,,n 公式 ( a,n n-1【答案】4 n-14【解析】由题意知aaa，，,41621，解得a,1，所以通项a,。 1111n【命题意图】本题考查等比数列的通项公式与前n项和公式的应用，属基础题。 22(2010江苏卷)8、函数y=x(x>0)的图像在点(a,a)处的切线与x轴交点的横坐标为a,k为正kkk+1整数，a=16，则a+a+a=_________ 1135 [解析]考查函数的切线方程、数列的通项。 a22kx,在点(a,a)处的切线方程为:当时，解得， yaaxa,,,2(),y,0kkkkk2 ak,，，,，，,,164121aaaa所以。 ，1135k2 2010年高考数学试题分类汇编——数列 (2010上海文数)21.(本题满分14分)本题共有2个小题，第一个小题满分6分，第2个小题满分8分。 *anN,Sna,,,585Sn已知数列的前项和为，且， ,,nnnn 10parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit (1)证明:是等比数列; a,1,,n (2)求数列的通项公式，并求出使得成立的最小正整数. SSS,n,,nnn，1 5解析:(1) 当n,1时，a,,14;当n?2时，a,S,S,,5a，5a，1，所以， aa,,,1(1)1nnn,1nn,1nn,16 又a,1,,15?0，所以数列{a,1}是等比数列; 1n n,1n,1n,1555,,,,,,aa,,,115Sn,,,,115,,，,7590(2) 由(1)知:，得，从而(n,N*); nn,,,,n,,666,,,,,, n,1522,,,由S>S，得，，最小正整数n,15( n,，,log114.9n，1n,,56525,,6 (2010湖南文数)20.(本小题满分13分) 给出下面的数表序列: 其中表n(n=1,2,3 )有n行，第1行的n个数是1,3,5，2n-1，从第2行起，每行中的每？？个数都等于它肩上的两数之和。 (I)写出表4，验证表4各行中数的平均数按从上到下的顺序构成等比数列，并将结论推广到表 n(n?3)(不要求证明); (II)每个数列中最后一行都只有一个数，它们构成数列1,4,12，记此数列为 ？ bbb32n，4b 求和:，，？ ,,nbbbbbb12231nn， 11trict precautions againstloans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Ssharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers -l estate, loanr loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, reaonsumeonsumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, cl policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between cationaof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and nes and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proshould strictly distinguish between regular employees, temporary employees, categoriinvestigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and 12parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit (2010全国卷2理数)(18)(本小题满分12分) 2na已知数列的前项和( nSnn,，()3 ,,nn an(?)求; lim,,nSn aaann123，，，…,(?)证明:( 22212n sn(1),,1a,【命题意图】本试题主要考查数列基本公式的运用，数列极限和数列不等,nssn,,(2)1nn,,式的证明，考查考生运用所学知识解决问题的能力. 【参考答案】 13trict precautions againstloans capital private public or misappropriated ... Understand borrowers ' credit business credit situation of the parties. Ssharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers -l estate, loanr loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stock market, reaonsumeonsumer and business uses, management personal loans should refer to working capital loans required to verify authenticity, cl policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distinction between cationaof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulations and nes and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowers to provide proshould strictly distinguish between regular employees, temporary employees, categoriinvestigators carefully to verify that such credit party authenticity, when necessary, to the borrower unit verification and 【点评】2010年高考数学全国I、?这两套试卷都将数列题前置,一改往年的将数列结合不等式放缩法问题作为押轴题的命题模式，具有让考生和一线教师重视 教材 民兵爆破地雷教材pdf初中剪纸校本课程教材衍纸校本课程教材排球校本教材中国舞蹈家协会第四版四级教材 和基础知识、基本方法基本技能,重视两纲的导向作用，也可看出命题人在有意识降低难度和求变的良苦用心. 估计以后的高考，对数列的考查主要涉及数列的基本公式、基本性质、递推数列、数列求和、数列极限、简单的数列不等式证明等，这种考查方式还要持续. (2010陕西文数)16.(本小题满分12分) 已知{a}是公差不为零的等差数列，a,1，且a，a，a成等比数列. n1139an (?)求数列{a}的通项; (?)求数列{2}的前n项和S. nn 解 (?)由题设知公差d?0， 12，d18，d 由a,1，a，a，a成等比数列得,， 1139112，d 14parties. Strict precautions againstital private public or misappropriated ... Understand borrowers ' credit business credit situation of the sharking, private fund raising and other high risk areas or used for illegal business strictly preventing borrowers loans cap-arket, real estate, loanock mticity, consumer loans should ensure a clear, true and reasonable. Strictly guard against borrowers will loan money to the stbetween consumer and business uses, management personal loans should refer to working capital loans required to verify authen nctionions and national policies. Bank ban on issuing personal loans without specified uses. Personal loans should be a sharp distirovide proof of use data and verified to ensure that lending purposes should be consistent with the relevant laws and regulats to ployees, categories and on the job, retirement, early retirement, etc. Purpose to verify investigators should require borrowery, when necessary, to the borrower unit verification and should strictly distinguish between regular employees, temporary empinvestigators carefully to verify that such credit party authenticit 解得,1，,0(舍去)， 故{}的通项,1+(,1)×1,. ddaannnn mna (?)由(?)知=2，由等比数列前n项和公式得 2 n2(12),23nn+1 S=2+2+2+…+2==2-2. m12, (2010全国卷2文数)(18)(本小题满分12分) 已知是各项均为正数的等比数列，且 {}an 11111， aa，,，2()aaa，，,，，64()12345aaaaa12345 (?)求的通项公式; {}an 12(?)设，求数列的前项和。 {}bTba,，n()nnnnan n【解析】本题考查了数列通项、前项和及方程与方程组的基础知识。 aadd11,1,设出公比根据条件列出关于与的方程求得与～可求得数列的通项公式。 ,2,由,1,中求得数列通项公式～可求出BN的通项公式～由其通项公式化可知其和可分成两 个等比数列分别求和即可求得。 (2010江西理数)22. (本小题满分14分) 证明以下命题: 222abc，，(1) 对任一正整a,都存在整数b,c(b