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Onepossibleversion:HowtoexpressyourthanksYoumayfeelgratefultopeoplewhohavehelpedyouselflessly.However,itmaynotalwaysbeeasytoexpressthat.Herearetwosimpleways.First,foryourlovedones,givethemmeaningfulgifts.Forexample,ifyourfriendhasherfavoritewriter,invitehertoareadingclubtoseetheauthororgetherthesignededition.Then,forstrangers,youcansmileatapersonwho
and^dtmatiorcanisclclrnmeaetevtimes.M:WhatWhydidn’tyousayanything?ww:Whatdidyouwantmetodo?Whistle?ItwasimpoliteM:Youcouldhavesentmeamessuge.on^3twV:Butyouwouldn’thavelookedatyourmobileduringthepresentationtIwaswavinglikemad.Butyoudidntseemene.(Text7)w:WhydidyoucometoLondonatfirst?Tofindwork?M::NoIcameherebecauseIwasadmittedintoacollegehere.Afterfinishingmyeducationhere,IdecidedtofindworkhereinsteadofgoingbacktoBrasilia,whereIgrewup.Sowhataboutyou?W:IcametoLondonwhenIwasjustcightyearsoldMyparentsmovedherefromBeijingtenyearsago.M:Soareyoustudyinginhighschoolnow?wYesIllgotocollegenextyearandIwanttobeadoctorinthefuture.(Text8)W:Henry.didyouwatchourcollegetenniscompetitionlastweek?ItwasrestartedaftersomerepairstothegrsscourtM:NoItbeganlastSunday,right?W:Right.Butthematchwasstovasstoppedafterabouttwohoursbecauseofrain.M:SotheplayerscontinuedtoplayonMonday?W:Yes.WhenitcontinuedonMonday,thematchdidn’tfinishuntilthetwoplayershadbeenplayiingforatotalof6hoursand5minutes.M:Whydidittakethemsolongtofinishthematch?w.Well,towinaset,aplayermustwinsixgames.DavidandJasonkeptplayinguntiloneplayerfinallywontwomoregamesthantheother.Jasonfinallywonthegame.(Text9)W:Adam,doyouoftencometothisgym?M:Yes.Ireallylikecomingheretorun.Theenvironmentiscleanandrelativelyquiet.31-35BADBAw::Oh.Ilikerunning,tooIgotintorunninginjuniormiddleschool.Whataboutyou?M:Igotintorunningevenearlierthanyou.Igrewupinthecountrysideandformerunningwasawayofconnectingwithmybeautifulhome.W:Yeah.Bythewayareyougoingtotheconcerttomorrowevening?M:Yes.Areyou?w:YeahCatherinewassupposedtogowithme,butshemayhavetoworkextrahourstomorrow.Doyouknownyonewhomightliketogo?M:No.Butifyoulike,IcanaskaroundErJoanmightwanttogoOnepossibleversion:w:Oh,yes,sheisgreatfanofclassicalmusic.Igiveheraringafterlunch.(Tea10)IhavejustreturnedtoBritainaftercyclingover3.500kmforcharity.MyjourneytookmefromLondontoAthensthroughParis.Munich,ViennaandBelgrade.Ijustwantedtodosomethingforothers.AtfirstIwasgoingtoraisemoneyforananimalcharityButhalfwaythroughmyjourney,therewasaterribleearthquakeinMalaysiaandIimmediatelydecidedthemoneywouidallgothere.Someofmyfriendsdonatedaboutf2,000inall.WhileIwastravelling,generouspeoplegavemeanotherf3,000.ButhalfofthemoneyIrisedcamefrommyuniversity.Afterfourweekscycling,1gavethecycletoachildrenscharityandcamebackbytrainMydadofferedtobuymeaplaneticket,butTbelieveingreentransportEraboutmynextjourney,someonesuggestedthatIgetabetterbikeordoitinacoolerseasonspring,forexample:Well,mynewbikeisfantasticandImonlyfreeinthesummer,butIthinkI’drathernotgoonmyownnexttime.参考答案
22.【解析】(1)将代入方程p=4cos,得x2n0+y2-4x=0,……………………1分设A(x1,y),B(x2,y2),中点M(x,y),直线l2普通方程为y=kx,k=tan,所以(1+k2)x2-4x=0,1+k2…∴1+k1+k,“……………………………………3分消去k,得C2的方程为(x-1)2+y2=1(x≠0).…………………5分(2)根据题意直线过定点(11),且在C的内部,………6分(+ cosa-1)2+(+ sina)2=1,整理可得r2+t(sing-cosa)–=08分所以IEF|=141-12|=√(1+12)2-4142√3-sin2a≥2,当a=元时等号成立.故弦长EF的最小值为√2……10分
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