河南省2024年新乡市暑期九年级预科考试试题(数学)

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河南省2024年新乡市暑期九年级预科考试试题(数学)试卷答案

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DiMennaChildren'sHistoryMuseumKyle'steasingdidn'tcompletelyendbutitdefinitelysubsidedandthefnalmofhwentbyfarlyContact:nyhistory.org/childrens-museumsmohy.Kylewasgoingtoaprivateschoolthenetyear.IhadonlyseenKyleoneatovietheaterWedidn'Atheandiplyo35yfUhisryhdendspeak,andpretendedwedidn'tseeeachotherheivofdsgpmeoudpoliiclLateronenightasIthoughtaboutthemarkshe'dleftonthetopsofmyfeet,thewords,andthepain,IfelnfiguresOtherfamilyprogramincludecookingcgamesandstoryhours.hateforhim.Instead.Ifelpity.Thisboy.whohadruinedmuchofmyfifthgradeexperiencehadprobablybeenNewYorkHallofSciencegoingthroughhisownissuesthen.HewasobviouslymadattheworldandmaybehewassimplytakingthatangerContaet:nysei.orgoutonmyfriendandme.IfeltthatbeingangywithKyleforwhathehaddonewaslikedrinkingpoisonandHerehundredsofnrhndtiveringtehnoloyenneeringndaholifeexpectinghimtodie.ByholdingmyhateforKyleinside,Iwasonlyhurtingmyself.Thatnight,bylettinggoofthatBulforthe964WorldsFairtdisplaysaboutiht3-DprintingourspaceandobospstheDesignpain,Ifeltfree.Withforgiveness,wecanletgoofunnecessaryburdensandtrulyownourlivesLab.Checkout“ConnectedWorlds”.wherevisitormovementsmluenceadigital-animated(动it的】24.Whatdidtheauthordoabouthertrouble?environment.KidscanalsoclimbonaropewebandplaymimgolfSheturnedtotheteacherMuseumofMathematics(MoMath)B.Shereportedittothepolice.Conlacl:momuth.orgC.Shequietlyacceptedallthis.Ratherthanbeingaplacetoleammath.it'saplacetoealirealltheremarkablethingsmathcanbeusedtoD.SheshareditwithMegan.create.Inthedesignstudiosparticipantscate3-Ddesignonascreenforachancetohaveit"printed"intoan25HowdidtheauthorfeelafterKyleapologized?actualsculpturevia3-Dprinter:andatEnigmaCafe.familiescansitdownatlablestoworkondigitalpuzzlesA.Annoved.B.Happy.C.Quiet.Frightened.SugarHillChildren'sMuseumofArtandStorytelling26.Whatdoestheunderlinedword"subsided"meaninparagraph3?Contact:wsugarhillmnseum.orgA.Ancreased.B.Supported.C.Reduced.D.Replaced.Itcelebratesimaginatonthroughart,storytellingandeducation.Kidscanexploredifferenteshibitslikea27.Whatdidtheauthorlearnfromtheexperience?collectonofartfrmthe1930to1980sfromagroupofartistswhodescribedeverydaylifeinUs.ThemuseumA.Neverbeafraidtoexpressyourtruefeelings.hostsavarietyofeventsforkidsfromstoryhourstoartworkshops.B.Neverpitythosewithoutconcernforothers.21.WhichaddresscanonecontabouAmercanhistory?C.Don'tletotherpeopleholdhackyourdreams.A.nysct.org.B.momath.org.C.www.sugarhillmuseum.org..Don'!takethepunishmentorestkery.nyhistory.org/childrens-museumC22.Whatcanavisitordoat“ConneetedWorlds”gA.Joinanartworkshoptodo3-Dprinting.TheCOVID-19forced57thStreetBooksinChicagotoeloseitsdoors.DireetorJeffwasworried.CustomersWorkonadigitalpuzdlewithotherpeoplecouldn'tcometotheshop.Hismainadvantageoveronlinebookstoreshasdisappearedovemight.Seehismoveinadigitally-animatedworldJeffsayshewaslucky.Customerssteppedup,offeringgiftsandsupport.SimilarstorieshaveplayedoutoverInteractwithfamousdoctorsandathletes.thepasttwoyearsincitiesandtownsaroundthecountry.Thoughindependentbookstoreswereforcedtoclose23.Wherecanavisitorprinta3-Dsculpture?duringthepandemic,manyfoundwaystoconnectwithandhelptheircommunity.A.AtNewYorkHallofScience.Beforethepandemic,bookstoreswerealreadyhavingahardtimecompetingwithonlinebookstores.ThenmBAtMuseumofMathematies.COVID-19.Itbrokesupplychainsandcausedlaborshartages.ButmanystorestumedthingsaroundwithewC.AtSugarHillChildren'sMuseum.ideas.SomeputbooksoutsideforviewingandstaredeventsonlineOtherssetupbooksellinghotlines,soldbooksD.AtDiMennaChildren'sHistoryMuseum.outofears,andimprovedtheirtoolsforeeommee.SomebookstoresofferedCOVIDestingorcollectedfoodforBpeopleinneed."Havinganindependentbookstoreinyourcomunityisanimportantplaceobuildcomniy"Kylewasaboyinmyfifthgradeclass.Whenwesatacrusfromeachother,hewouldreachhislegsandstepsaysSamira.anauthorofbooksforyoungadults.onmyfoot.causingrapidpain.Eventually,myseatwasmoved.ButKyle'sabusedidn'tstop.HiswordswereOneyoungfanof57thStreetBooksisAdeleSorkin.11.Membersreceiveearlycopiesofbooksinexehangeforannoyingtoanelevenyear-oldgirl.KylealsobulliedmyfriendMegan.Atonpointsheranouoftheelassroomwritingreviews."Ithinkofthebookstoreasabiscuitjar,"Adelesays."It'ssomethingspecialandfiunthatisalwaysthereforyou."becausehecopiedhernonstop.Despitemeetingswithteachersandparents,nothingchanged.Thenoneday.Kyleforcedmeintoawallandinsulted()mybrother.Withmyteacherstandingbehind"Ifwereimaginebookstoresandmakeanefforttosupportthem,thenbookstorescanlongsurvive.Youcanm,ItoldKyleexactlyhowmuehhehadhurtMeganandmephysicallyandemotionally.Ihadtearsstreamingsupporyouroealhookstoreandbuybooksthere,orcheckifanauthorismakinganappearancethereRecommenddownmyface,butIdidn'tcare.Intheend.IcheeredinsideasKylequietlyapologized.thestoretoafriend.Youngpeopleareresponsibleforcreatingasocythatvaluesbookstoresandshredloveofliterature,"Jeffsays.英语第3页（共8页）英语第4页（共8贡）

分析由题意可得f（x）+f′（x）＞1，令g（x）=e^x[f（x）-1]，可得g′（x）=[f（x）+f′（x）-1]＞0，故函数g（x）=e^x•[f（x）-1]为增函数．不等式即$\frac{g（x）}{{e}^{x}（7-x）}$＞1①．检验当x＞7、x=0时，①不成立，从而得到答案．

解答解：由函数f（x）的定义域为R，2^f（x）•2^f′（x）=2^{[f（x）+f′（x）]}＞2，∴f（x）+f′（x）＞1．
令g（x）=e^x[f（x）-1]，可得g′（x）=e^x[f（x）+f′（x）-1]＞0，
故函数g（x）=e^x•[f（x）-1]为增函数．
g（0）=f（0）-1=7，
f（0）=27${\;}^{\frac{2}{3}}$-2${\;}^{lo{{g}_{2}}{3}}$×log₂$\frac{1}{8}$+2lg（$\sqrt{3+\sqrt{5}}$+$\sqrt{3-\sqrt{5}}$）-11
=9-3×（-3）+lg（3+$\sqrt{5}$+3-$\sqrt{5}$+2$\sqrt{9-5}$）-11=9+9+lg10-11=8，
不等式$\frac{f（x）-1}{{e}^{ln7-x}}$＞1，即$\frac{{e}^{x}[f（x）-1]}{7}$＞1，即e^x•[f（x）-1]=g（x）＞7=g（0），
∴x＞0
故选：B．

点评本题主要考查利用导数研究函数的单调性，对数的运算性质，分式不等式的解法，属于中档题．