最新春高一数学必修5解三角形数列测试题答优秀名师资料.doc
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1、2013年春高一数学必修5解三角形数列测试题答鄂州二中2013年春高一数学必修5解三角形、数列测试题 全卷满分:150分 考试时间:120分钟 2013.3.19 ?祝考试顺利? 一、选择题(本大题共10小题,每小题5分,共50分) ,ABC中,则为()(在1A A a,23,b,22,B,45:60:或120:B.60:C.30:或150:D.30:(A 2. 各项均为实数的等比数列前项之和记为.若,则等于aSS,10S,70Snnn103040( B ) ,200150A. B. C. 150或-200 D. 400或-50,ABCbcosA,acosB3、在中,则三角形的形状为( C )
2、 A. 直角三角形 B. 锐角三角形 C.等腰三角形 D. 等边三角形 aa,214. 已知数列成等差数列,成等比数列,则( A ) ,1,4aa,1,4bbb,12312b211111,或A( B( ,( ,( 22422DC,aA5( 如图:三点在地面同一直线上,从两点测得点仰角分别是D,C,BC,DAAB,则点离地面的高度等于 ( D ) ,,(),A ,asin,sinacos,sin A. B. ,cos,cos, ,asin,sinasin,cos,C D . B D C ,sin,sin, abc2,3,2,6,2,126. 已知,则a,b,c的关系是( C) A. 成等比但不成
3、等差 B成等差且成等比 C、成等差但不成等比 D不成等比也不成等差 d,07(如果a,a, a为各项都大于零的等差数列,公差,则 ( B ) 128aa,aaaa,aaaa,aaA B C aaaa,,, D 18451845184518458. 据科学计算,运载“神七”的“长征二号”系列火箭,在点火后第一秒通过的路径为2km,以后每秒钟通过的路程增加2km,在到达离地面240km的高度时,火箭与飞船飞离,则这一过程大约需要的时间是( C ) A.10秒钟 B.13秒钟 C.15秒钟 D.20秒钟 9.某工厂在2003年底制定计划要使2013年底总产值在原有基础上翻两番,则年产值的平均增长率为
4、(D ) to the Communist Party the peoples spiritual pursuit in the complicated society, always not for any wind and rain resistance, not for any interference and confused, rock solid, steady as Jinsong. Should be faithful. The world Zhide. Nothing is greater than the loyalty, leaving the loyalty and a
5、bility of Party members and cadres is a subject to explosion of the dangerous goods. Party members and cadres to loyalty engraved in himself the depths of the soul, anytime, anywhere, thinking that her party, the party, the party worry The ideal of non firm clear, mature Tim party Hing, and support
6、of the party to implement to every move, every word and deed, flag for the luster is the emblem of the light. To sensible determined. Mature theory is a political theory is the political premise. In two a learning to read the original work, the original school, Wu principle, deep fine understanding,
7、 research and analysis, do know deep, the letter of Benedict, in reality, the theoretical study of the effect of implementation of the faith the basic standards, do distinguish between right and wrong, eliminate interference. At the same time, to recognize their power source, a profound understandin
8、g of power drugs, but can be drunk soul acquisitiveness toothless, but can eat; money in, but can push The ladder of people as the basic attitude to fall the truth, carefully deal with the power of treading on thin ice, standing on the edge of the abyss, cautious with the right exercise. Excellent b
9、usiness, in charge of the work of the authority. Dry line, love line, 111110101111 A( B( C( D( 21,41,21,41,10. 已知等比数列的首项为8,是其前n项的和,某同学经计算得S=20,S=36,as23nnS=65,后来该同学发现了其中一个数算错了,则该数为 ( B ) 4A(S B(S C( S D(无法确定 234二、填空题(本大题共5小题,每小题5分,共25分) ,ABCb,2B,:60,ABC11.在中,若有两解,则的取值范围是ax,x4,_. 2,3,3,111112、已知数列满足
10、aaaan,,,?a21,123nn23n222261)(n,则的通项公式 aa,nn,1n2(2)n, 13. 在正项等比数列a中,若a?a=4,则数列,前19项之和为 -19 logan9111n2a21n,11naaa,a14(已知数列,若,且,则的通项公式为 ,1nnn3nan21,21,,1naa15(一般地数列满足(k为常数),数列叫等和数列,其中k为公aak,,nnnn,1a和,设等和数列的前项和为,若,公和k=3,则_3019_ Sa,1S,n,nn12013三、解答题(本大题共6小题,共75分(解答应写出文字说明、证明过程或演算步骤) 16、(本小题满分12分) 等比数列的前
11、n 项和为s,已知S,成等差数列 aSSnn132(1)求aasa的公比q; (2)求,3,求n13n16.解:(?)依题意有 22 由于 a,0,故 a,(a,aq),2(a,aq,aq)2q,q,011111111q, 又q,0,从而 212a,a(,),3a,4 (?)由已知可得 故 11121n41,()81n2S,1,() 从而 n1321,()2to the Communist Party the peoples spiritual pursuit in the complicated society, always not for any wind and rain resist
12、ance, not for any interference and confused, rock solid, steady as Jinsong. Should be faithful. The world Zhide. Nothing is greater than the loyalty, leaving the loyalty and ability of Party members and cadres is a subject to explosion of the dangerous goods. Party members and cadres to loyalty engr
13、aved in himself the depths of the soul, anytime, anywhere, thinking that her party, the party, the party worry The ideal of non firm clear, mature Tim party Hing, and support of the party to implement to every move, every word and deed, flag for the luster is the emblem of the light. To sensible det
14、ermined. Mature theory is a political theory is the political premise. In two a learning to read the original work, the original school, Wu principle, deep fine understanding, research and analysis, do know deep, the letter of Benedict, in reality, the theoretical study of the effect of implementati
15、on of the faith the basic standards, do distinguish between right and wrong, eliminate interference. At the same time, to recognize their power source, a profound understanding of power drugs, but can be drunk soul acquisitiveness toothless, but can eat; money in, but can push The ladder of people a
16、s the basic attitude to fall the truth, carefully deal with the power of treading on thin ice, standing on the edge of the abyss, cautious with the right exercise. Excellent business, in charge of the work of the authority. Dry line, love line, 17(本小题满分12分) ,ABCbCbB,:30中,、分别为、的对边,如果,成等差数列,ABacac3,AB
17、C,ABC的面积为,求的周长。 2b2bac,,【解】?,成等差数列,?.?2 ac133,ABC 又由的面积为,?. acsinB,222113ac,6?,.5 ac,222222由余弦定理可得:?8 acbaccosB,,2322将?式平方代入?式得:. 422b,ac,b,ac,22b,,13?b,,423,11 abcb,,,3333?周长为.12 18 (本小题满分12分)数列a的前n项和为S,且a=1,n=1,2,3, aS,3nn1nn,1(1)计算a,a,a的值,并求数列a的通项公式; 234n(2)求数列na的前项和( Tn,nn解:(1)由a=1,n=1,2,3,得 aS,
18、31nn,1, , aSa,333aSaa,,,33()123212211,3分 aSaaa,,,33()4843123n,2n,2由(),得(), aaSSa,3()3aa,4nnnnn,,11nn,1n,2n,2334,又a=,所以a=(),6分 2n11n,? 数列a的通项公式为 ;7分 a,n,nn,2342,,n,Taaana,,23?(2), nn123n,1T,1当时,; 1012n,n,2当时,? Tn,,1649434?n121n,44649434Tn,,?,? n1221nn,?,-3334343434Tn,,,,?得: nto the Communist Party th
19、e peoples spiritual pursuit in the complicated society, always not for any wind and rain resistance, not for any interference and confused, rock solid, steady as Jinsong. Should be faithful. The world Zhide. Nothing is greater than the loyalty, leaving the loyalty and ability of Party members and ca
20、dres is a subject to explosion of the dangerous goods. Party members and cadres to loyalty engraved in himself the depths of the soul, anytime, anywhere, thinking that her party, the party, the party worry The ideal of non firm clear, mature Tim party Hing, and support of the party to implement to e
21、very move, every word and deed, flag for the luster is the emblem of the light. To sensible determined. Mature theory is a political theory is the political premise. In two a learning to read the original work, the original school, Wu principle, deep fine understanding, research and analysis, do kno
22、w deep, the letter of Benedict, in reality, the theoretical study of the effect of implementation of the faith the basic standards, do distinguish between right and wrong, eliminate interference. At the same time, to recognize their power source, a profound understanding of power drugs, but can be d
23、runk soul acquisitiveness toothless, but can eat; money in, but can push The ladder of people as the basic attitude to fall the truth, carefully deal with the power of treading on thin ice, standing on the edge of the abyss, cautious with the right exercise. Excellent business, in charge of the work
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