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对校外的培训机构经济效益产生了严重影响.某大型校外培训机构为了规避风险,寻求发展制定科学方案,工作人员对2021年前200名报名学员的消费金额进行了统计整理,其中数据如表消费金额(千元)[3,5)[5,7)[7,9)[9,11)[11,13)[13,15]人数305060203010以频率估计概率,假设该大型校外培训机构2021年所有学员的消费金额可视为服从正态分布N(4,o2),4,σ2分别为报名前200名学员消费的平均数x以及方差s2(同一区间的花费用区间的中点值替代)·(1)求x和s2的值:(2)试估计该机构学员2021年消费金额为5.2,13.6的概率(保留一位小数);(3)若从该机构2021年所有学员中随机抽取4人,记消费金额为5.2,13.6)的人数为7,求7的期望和方差.参考数据:√2≈1.4;若随机变量5~N4,o2),则P(u-o<5<4+o)=0.6827,P(-2o<5<+2o)=0.9545,P(4-3o<5<4+3o)=0.9973.19.已知等比数列{an}的公比q>1,且a4+a3=20,42=8,等差数列{bn}的前n项和为Sn,且有6=57,b=11.(1)求数列{an},{b}的通项公式:(2)设Cn=,工是数列c的前n项和,对任意正整数,不等式7+孤>(←ya恒an成立,求实数a的取值范围.数学试卷第5页,共6页
第二部分阅读(共两节,满分50分)第一节(共15小题;每小题2.5分,满分37.5分)阅读下列短文,从每题所给的A、B、C、D四个选项中选出最佳选项
A1.Asafirst-timee-paperuser,Iamnotsureifallthemomentarypixelation(isnormal.Thesizeisidealformynew-teenager.Therearehardlyanyannoyancesandthekidseemsenjoyingtheexperience.Theparentalcontrolsare,mildlyput,inadequate.Iwouldanticipatebeingabletodefinelock-downtimingsandlimitusagedurationforadevicetargetedatkids.—Miki2.Thisissuchalifesaver!Mysonreadsbooksconstantly.Weweredoingourbesttobuybooksandusethelibrary,butitwashittingourwalletshard.WiththeKindleFreeTimeincludedwiththisKindlekidsedition,hehasaccesstothousandsofbooks.Igettosettheageappropriatelimitsonthebookaccess.Asweliveonatightbudget,it'sgreattohaveaone-yearfreesubscriptiontoFreeTime.—Billie3.JustreceivedthisdevicetodayandI'mreadytothrowitoutthewindow.Navigationishorribleandevencustomerserviceadmittedthattheydon'tknowhowtohelp.It'sanightmaretryingtogetyourfreesubscriptionsetupastheyjustkeepredirectingyoutosetupa30-daytrialandbechargedafter.I'llbecancellingeverythingandsendingthisbackassoonaspossible.Catherine4.Thisisareader'skindle.Wewantourchildrentoread-notplayvideogamesallday.Fromthemomentwereceivedthisdeviceasagift,ourkidshadimmediateaccessto55booksthatwehadpurchasedthroughourAmazonaccount.Nowtheycancarryaroundawholelibraryofbooks.Nottomentionallofthefreeoutofcopyrightmaterialthatisavailable.-Norah21.WhatdoesBilliesayaboutKindle?A.Itcansavehisson'slife.B.Ithasnoparentalcontrols.C.Itsaveshimalotofmoney.D.Itoffersfreebookspermanently.22.Whomaygivethedevicethelowestrating?A.Miki.B.Billie.C.Catherine.D.Norah.23.Whatarethefourtexts?A.Bookreports.B.Diaryentries.C.Tabletadvertisements.D.Customerreviews.BWhenIwinatmyfavouritegames,myopponentstendtosay:'Oh,you'resocompetitive!'ButwhenIlose,theysmilegood-naturedlyandsay:Badluck!Goodgame!'Thissuggeststhataccuratesportingexpressionsshouldgosomethinglikethis:Iamsporty.Youarecompetitive.Theycan'tbeartolose.Or:Igaveitago.Youdidyourbest.Hetrieddesperatelyhard.I'mnotsayingIdon'thaveacompetitivepersonality.Wealldo.Onwalks,Iliketobeoutinfront.Intrafficjams,Ifindmyselffocusingoncarsinotherlanes,andfretiftheyedgeaheadofme.Itenseupwhilewaitingfortrains,determinedtobefirstaboard.英语·第3页(共8页)