2023年高考數(shù)學(xué)一輪復(fù)習(xí)試題：單元檢測(cè)八

成套的課件成套的教案成套的試題成套的微專題盡在高中數(shù)學(xué)同步資源大全QQ群483122854聯(lián)系QQ805889734加入百度網(wǎng)盤群3500G一線老師必備資料一鍵轉(zhuǎn)存，自動(dòng)更新，一勞永逸單元檢測(cè)八一、選擇題1.已知等差數(shù)列{an}滿足a2+a4=2,a5=3,則數(shù)列{an}的前7項(xiàng)和為().A.6 B.9 C.12 D.142.已知等比數(shù)列{an}中,a1=1,a2a12=2a7+3,則a13=().A.36 B.9 C.12 D.183.設(shè)數(shù)列{an}滿足an+2=2an+1-an(n∈N*),且其前三項(xiàng)的和為33,最后三項(xiàng)的和為0,若前n項(xiàng)的和為396,則n=().A.23 B.72 C.25 D.264.已知數(shù)列{an}的前n項(xiàng)積為Tn,且滿足an+1=1+an1-an(n∈N*),若a1=14,則A.-4 B.-35 C.-53 D5.已知數(shù)列{an}是等比數(shù)列,且a3=1,a5a6a7=8,則a9=().A.2 B.4 C.6 D.86.已知數(shù)列{an}滿足a1=13,an=2n-32n+1an-1(n≥2,n∈N*),則數(shù)列{an}的通項(xiàng)公式A.14n2-C.1(2n-7.已知數(shù)列{an}為等差數(shù)列,其前n項(xiàng)和為Sn,2a7-a8=5,則S11=().A.110 B.55 C.50 D.458.已知數(shù)列an對(duì)任意的p,q∈N*滿足ap+q=ap+aq,且a2=-6,那么a10等于()A.-165 B.-33 C.-30 D.-219.在等比數(shù)列{an}中,a1=2,前n項(xiàng)和為Sn,若數(shù)列{an+1}也是等比數(shù)列,則Sn等于().A.2n+1-2 B.3nC.2n D.3n-110.已知數(shù)列{an}的通項(xiàng)公式an=log(n+1)(n+2)(n∈N+),我們把使a1a2a3…an為整數(shù)的n叫作優(yōu)數(shù),則在(0,2017]內(nèi)所有優(yōu)數(shù)的和為().A.1024 B.2012 C.2026 D.203611.已知數(shù)列{an}中,a1=1,anan+1=2n,n∈N+,則下列說法不正確的是().A.a4=4 B.{a2n}是等比數(shù)列C.a2n-a2n-1=2n-1D.a2n-1+a2n=2n+1二、填空題12.已知桶A0中盛有2升水,桶B0中盛有1升水.現(xiàn)將桶A0中的水的34和桶B0中的水的14倒入桶A1中,再將桶A0與桶B0中剩余的水倒入桶B1中,接著將桶A1中的水的34和桶B1中的水的14倒入桶A2中,再將桶A1與桶B1中剩余的水倒入桶B2中.若如此繼續(xù)操作下去,則桶An(n∈N*)中的水比桶Bn(n∈N*)13.在數(shù)列{an}中,若a1=1,an+1=2an+3(n≥1),則該數(shù)列的通項(xiàng)公式an=.

14.在等比數(shù)列{an}中,0<a1<a4=1,則能使不等式a1-1a1+a2-1a2+三、解答題15.已知數(shù)列{an}滿足a1=1,nan+1=2(n+1)·an,設(shè)bn=an(1)求b1,b2,b3;(2)判斷數(shù)列{bn}是否為等比數(shù)列,并說明理由;(3)求{an}的通項(xiàng)公式.

16.設(shè)數(shù)列{an}的前n項(xiàng)和為Sn,an+1=-SnSn+1(n∈N*),a1=1.(1)求證:數(shù)列1Sn(2)設(shè)bn=2nSn,求數(shù)列{bn}的前n項(xiàng)和

17.已知數(shù)列{an}前n項(xiàng)和Sn滿足Sn=2an-2(n∈N*),{bn}是等差數(shù)列,且a3=b4-2b1,b6=a4.(1)求{an}和{bn}的通項(xiàng)公式;(2)求數(shù)列{(-1)nbn2}的前2n項(xiàng)和T2

18.已知數(shù)列{an}滿足a1=1,an+1=1