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［拉萨二模］拉萨市2024届高三第二次模拟考试数学.考卷答案试卷答案
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(Text2)survivedbuttheother17peoplediedW:PacificTravelCompany,Janespeaking.HowcanIhelpyou?W:Lucky.M:Hello,it'sStuartGouldhere.I'vebookedatwo-daygrouptourwithyourcompanyandIneedtomakesomeM:Franedidbreakhisarm,though.Anyway,thenextyearhewasflyingonasmallplane,whichalsocrashed.changestotheoriginalbooking.Justasitwasabouttocrash,oneofthedoorsopened-thearticlesaysithadafault-andhewassucked(Text3)out.Heescapedunhurtbutnobodyontheplanesurvived.W:Youdon'tlookverywell.IsthereanythingIcando?W:That'sunbelievable!M:Nothanks,maybeI'llgohomeearlytoday.M:Iknow.Thenafewyearslater,Franewasinabusaccident.TherewasheavyrainandthebuslostcontrolonW:Yes,Ithinkyoushould.Butdon'tforgettotellourmanagerfirst.thewetroadandcrashedintoariver.Hesurvived,although20peopledrowned.ThenFranewasinacarthat(Text4)caughtfirewhilehewasdrivingitonthemotorway.HemanagedtogetoutwithsecondstosparebeforetheW:We'rehavingthemeetingonMonday.That'sthedayaftertomorrow.Canyougivemethereportbyfueltankexploded.Sunday？W:Idon'tknowwhetherhe'sunluckyorextremelylucky,butIdon'tthinkIeverwanttotravelwiththisguy.M:OK.I'lltrytofinishitassoonaspossible.(Text10)(Text5)W:AbouttwoyearsagoIwentwithmyclassonourfirstschooltrip-fivedaysinParis!TherewereaboutM:I'mworriedabouttheexaminchemistry.thirtyofusandfourteachers.WeallwentinonebigcoachfromourschoolinLondon.TheteacherstoldusW:Me,too.Mrs.Smithalwayssetsahardpaper,doesn'tshe?tobeatschoolatfourthirtyinthemorning.Everyonewasthereontime,butthecoachdidn'tarriveuntilfiveM:You'reright,andIfailedlasttimeo'clockandwedidn'tleaveuntilfivethirty!Wewereverycoldandtired.(Text6)Anyway,thecoachwasverycomfortableandwewatchedaDVDandlistenedtosomemusicontheW:Howabouteatingouttonightforachange?journey.Wehadsomesandwichesanddrinkswithus,sowewentstraighttoPariswithoutstopping.TheM:It'sanidea,Isuppose.Whereshallwego?hotelwasveryold,butourroomwasniceandthebedwasgreat!Isharedtheroomwiththreeothergirls.W:There'sanewItalianplacewhichhasjustopened.WhenwewentshoppingItriedtopracticemyFrenchafewtimesbutsometimesIdidn'tknowtherightM:Thatmightbeworthatryandwecantakethebus.wordsandspokeinEnglishinstead!Theshopsweregreat-Iboughtlotsofpresents,suchasadressformyW:Let'swalkthere.It'snotfar.mother,abagformydadandaT-shirtformylittlesister!M:OK.IthinkwhatIenjoyedmostwastheboattrip.ItooklotsofphotosofmyfriendsandthewonderfulartW:AndwecouldinviteAmeliaandRob,too.galleries.IwassadtoleaveParis.Ihadalovelytimethere.M:Butit'stoofarforthem.They'dneedtodrivethere.Besides,RobhasaflighttoLondontonight.(Text7)M:Linda!Iwaslookingforyou.Iwantedtoaskyouwhatyouareplanningtodothisweekend.W:What'sup,Doug?Iwassupposedtowatchaconcertwithmysister,butshecanceledourappointmentatthelastminute.NowIhavenoplansM:WeareplanningtogoclimbingintheAzusaMountainsonSaturday.Youreallymustjoinus.W:Thatsoundsgreat,butIhaven'tclimbedforawhile.I'llgettiredeasily.M:Allyouhavetodoiswalkandenjoythesceneryofthemountainsalongtheway.Themountainisnotthattall.There'snowayyoucan'tdoit.Plus,wearegoingtohaveadeliciouspicnicatthetopofthemountain.W:OK.Icertainlylovepicnics.I'mstartingtogetexcitedaboutclimbingnow!I'dbettergetagoodpairofshoes.(Text8)M:Hey,whatabouttheseties?Whichdoyouprefer,thegreenoneortheblackone?W:IprefertheblackonebutIthinkyou'lltaketheredtieIsawinCamdenMarket.Thecolorsuitsyourjacketperfectly.M:Yeah.W:Whatdoyouthinkofthisdress?M:Itwouldlookreallygoodwithhighheels.W:Highheels?Idon'tlikehighheelsmuch.Ifindthemreallyuncomfortable.M:Iguessitwouldlookgoodwiththeshoesyou'rewearing.Areyougettingthedress?W:I'mnotsure...I'dliketolookinthemarketfirstbeforeIdecidewhethertobuyitornot.M:I'drathergoforacoffeethanlookatmoreclothesnow.(Text9)W:Whatareyoureading?M:Anarticleaboutthisguy..Frane...Selak.They'vecalledhimtheunluckiestmanintheworld.Itlookslikehe'shadanunbelievablelife.W:Unbelievable?How?M:Well...Itstartedinthe1960s.Hesayshewasonatrainthatcameoffthetracksandcrashedintoariver-he第3页共4页
分析由等差数列通项公式求出公差，由此能求出an，Sn，由an=2n-10≥0，得n≥5，从而n≤4时，Tn=-Sn，n≥5时，Tn=Sn-2S4同，由此能求出结果．
解答解：∵等差数列{an}中，a1=-8，a10=10，
∴$d=\frac{{a}_{10}-{a}_{1}}{10-1}$=$\frac{10+8}{10-1}$=2，
∴an=-8+（n-1）×2=2n-10，
Sn=-8n+$\frac{n（n-1）}{2}×2$=n2-9n．
由an=2n-10≥0，得n≥5，a5=2×5-10=0，
∵Tn=|a1|+|a2|+…+|an|，
∴n≤4时，Tn=-Sn=9n-n2．
n≥5时，Tn=Sn-2S4=n2-9n-2（16-36）=n2-9n+40．
∴${T}_{n}=\left\{\begin{array}{l}{9n-{n}^{2}，n≤4}\\{{n}^{2}-9n+40，n≥5}\end{array}\right.$．
点评本题考查数列的前n项和的求法，是中档题，解题时要认真审题，注意等差数列的性质的合理运用．
