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吉林省"通化优质高中联盟”2023~2024学年度高二上学期期中考试(24-103B)数学.试卷答案

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W:Whataboutdessert?CanIstillhaveicecream?M:Yes,butnottoomuch.(Text8)M:HiNancy!Youlookworried.What'swrong?W:WellDaniel,haveyoueverfeltnervousonstage?M:Sure.DoyourememberthatplayIwasinafewyearsago?Iknewmylines,butIwasterrifiedtohavetorecitetheminfrontofanaudience.AssoonasIsawthecrowdofpeopledownthere.myheartbeatsofastthatIwasunabletosayasingleword.W:That'showIfeeljustthinkingaboutthespellingcompetitionnextweekM:Ididn'tknowyoumadeittothefinals.W:I'mworriedI'llgetnervousandfreezeonstage.Imightforgethowtospelleverything,evenmyownname.Idon'tknowwhattodo.M:Nancy,Iknowthatyou'renotgoingtoforgethowtospellyourname.I'llhelpyougetthroughthis.I'llgototheschoolhallwithyoutopractice.ThenI'llteachyouanexercisemybaseballcoachtaughtme.Belicveme.Itworks.W:Ifeelmuchbetternow.Thanks,Daniel(Text9)W:Ilello,ladiesandgentlemen!Today,wehaveinvitedProf.Stonetotalkabouttheroleofelderlypeopleinoursociety.Welcometoourshow,Prof.Stone.M:Tobeginwith,I'dliketotellastoryfrommyownlife.Severalyearsago,whenmygrandparentswerewellintotheir80s,theywerenolongerabletocareforthemselvesverywell.Mygrandfatherwasafraidofleavingtheonlyhometheyhadknownforthepast60years.Theideaofhavingtoselltheirhomeandmoveintoaretirementhomewasanextremelypainfulexperienceforthem.Indeed,oldageforthem,andmanyoldAmericanscanmeannotonlythepossiblefailureofone'shealth,butthelossofidentityandself-worth.W:Yes,it'strue.Whatdoyouhavetosayabouttheproblemofoldage?M:Manyexpertshavegiventalksherethathavefocusedonthemedicalcare,andthedevelopmentofpublicservicesforseniorcitizens.Today,I'dliketofocusmycommentsonthemeaningfulrolesthatelderlycanplayandshouldplayinoursociety.(Text10)W:Talkingaboutpersonalrelationships,well,I'dnaturallythinkofmyrelationshipwithmymother.WheneverIneedhelp,mymotherisalwaysthereforme.SheoftentellsmethatIcanbeanyoneIwant,aslongasI'mconfidentofmyself.SheseesmytalentandpushesmetodothebestIpossiblycan.AsIwasgrowingup,wewereoftenonthemove.Ihadtoadmitthatmovingsooftenmademefeellonely.Butmymotherdideverythingshecouldtohelpmefeelhappy.Infact,somuchtravelingwasrcallyagoodthingbccauscitmadeusclosc.Ircspcctmymothersomuchasshenevertreatsmeasachild,butasanequal.Shegivesmethefreedomtomakemistakesandtolearnfromthemall.Unlikefriendshipsthatcanfadeorbreak,IknowI'llalwaysbeconnectedtomymothernomatterwhatIface.Sheisnotjustarolemodel,butsomeoneIlove第二部分阅读理解（共两节，每小题2.5分，满分50分)A)21–23DCA本文体裁为说明文，文章主要介绍了theSydneyOperaHousel的参观事项2l.D.根据文章第一句)VisitorscanenjoytheSydneyOperaHouse'sfoyer(前0)forfree可知2

分析圆x²+y²+Dx+Ey+F=0中，D²+E²-4F＞0，圆心为（-$\frac{D}{2}$，-$\frac{E}{2}$），半径r=$\frac{1}{2}\sqrt{{D}^{2}+{E}^{2}-4F}$．

解答解：∵方程x²+y²-x+2y+m=0表示一个圆，
∴（-1）²+2²-4m＞0，
解得m＜$\frac{5}{4}$，
∴若方程x²+y²-x+2y+m=0表示一个圆，则m的取值范围为（-∞，$\frac{5}{4}$），
此时，它的圆心为（$\frac{1}{2}$，-1），
当m=1时，圆的半径r=$\frac{1}{2}\sqrt{1+4-4}$=$\frac{1}{2}$．
故答案为：（-∞，$\frac{5}{4}$），（$\frac{1}{2}$，-1），$\frac{1}{2}$．

点评本题考查圆心、半径的求法，考查圆中参数的取值范围的求法，是基础题，解题时要认真审题，注意圆的一般方程的性质的合理运用．

吉林省"通化优质高中联盟”2023~2024学年度高二上学期期中考试(24-103B)数学.