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如果在数列{an}中，a1=1，对任何正整数n，等式nan+1=(n+2)an都成立，那么 的值等于（）。
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有一个著名的猜想任给一个正整数n如果n是偶数就将它减半即如果n是奇数则将它乘3加1即3n+1不断重
2
4
6
8
设向量a=x2b=x+n2x-1n∈N*．函数y=a·b在[01]上的最小值与最大值的和为an
设等差数列an的前n项和为Sn若a1=-5且它的前11项的平均值是51求等差数列的公差d2求使Sn＞
在数列{an}中an=n2-22n+10则满足am=anm≠n的等式有
8个
9个
10个
11个
已知一个由正数组成的序列a1a2an在这个序列中的元素既有正整数也有负整数我们定义SUMkl=ak+
已知一个由正数组成的序列a1a2an在这个序列中的元素既有正整数也有负整数我们定义SUMkl=ak+
设正整数数列{an}满足a2＝4且对于任何n∈N*有.1求a1a32求数列{an}的通项an.
已知数列{an}是公差d≠0的等差数列且a5=6.1求{an}的前9项的和S.92若a3=3问在数列
如果不等式2n>n2＋1对于n≥n0的正整数n都成立则n0的最小值为________.
设an为数列对于存在正数M对任意正整数n有|an|≤M的否定即数列an无界是______
存在正数M，存在正整数n，使得
a
n
＞M
对任意正数M，存在正整数n，使得
a
n
＞M
存在正数M，对任意正整数n，有
a
n
＞M
对任意正数M，以及任意正整数n，有
a
n
＞M
已知数列{an}满足a1=aa其前n项的和Sn=Ⅰ求证{an}为等比数列Ⅱ记n为正整数Tn为数列{b
11×10n中n值应为
正整数
实数
任何数
负整数
已知一个由正数组成的序列a1a2an在这个序列中的元素既有正整数也有负整数我们定义SUMkl=ak+
已知正项数列{an}{bn}满足对任意正整数n都有anbnan+1成等差数列bnan+1bn+1成等
在数列{an}中若存在非零整数T.使得am+T=am对于任意的正整数m均成立那么称数列{an}为周期
671
672
1342
1344
设数列an的前n项和为Sn对任意的正整数n都有an=5Sn+1成立记bn=1求数列bn的通项公式2记
记Sn是等差数列{an}前n项的和Tn是等比数列{bn}前n项的积设等差数列{an}公差d≠0若对小
b
11
＝1
b
12
＝1
b
13
＝1
b
14
＝1
记Sn是等差数列{an}前n项的和Tn是等比数列{bn}前n项的积设等差数列{an}公差d≠0若对小
b
11
＝1
b
12
＝1
b
13
＝1
b
14
＝1
已知各项均为正数的数列的等差中项.1求数列{an}的通项公式2若成立的正整数n的最小值.
观察下列顺序排列的等式 9×0+1=1 9×1+2=11 9×2+3=21 9×3+4=31
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A WhereisLoveHowcanwefindLove Thepastagesofmanhaveallbeencarefullylabeledbyanthropologists.DescriptionslikePaleolithicManNeolithicManetc.neatlysumupthewholeperiods.WhenthetimecomesforanthropologiststoturntheirattentiontothetwentiethcenturytheywillsurelychoosethelabelLeglessMan.Historiesofthetimewillgosomethinglikethis:inthetwentiethcenturypeopleforgothowtousetheirlegs.Menandwomenmovedaboutincarsbusesandtrainsfromaveryearlyage.Therewereliftsandescalatorsinalllargebuildingstopreventpeoplefromwalking.Thissituationwasforceduponearthdwellersofthattimebecauseofmileseachday.Butthesurprisingthingisthattheydidn’tusetheirlegsevenwhentheywentonholiday.Theybuiltcablerailwaysskiliftsandroadstothetopofeveryhugemountain.Allthebeautyspotsonearthweremarredbythepresenceoflargecarparks. Thefuturehistorybooksmightalsorecordthatweweredeprivedoftheuseofoureyes.Inourhurrytogetfromoneplacetoanotherwefailedtoseeanythingontheway.Airtravelgivesyouabird’seyeviewoftheworld—orevenlessifthewingoftheaircrafthappenstogetinyourway.Whenyoutravelbycarortrainablurredimageofthecountrysideconstantlysmearsthewindows.Cardriversinparticularareforeverobsessedwiththeurgetogoonandon:theyneverwanttostop.IsitthelureofthegreatmotorwaysorwhatAndasforseatravelithardlydeservesmention.Itisperfectlysummedupinthewordsoftheoldsong:IjoinedthenavytoseetheworldandwhatdidIseeIsawthesea.ThetypicaltwentiethcenturytraveleristhemanwhoalwayssaysI’vebeenthere.YoumentiontheremotestmostevocativeplacenamesintheworldlikeElDoradoKabulIrkutskandsomeoneisboundtosayI’vebeenthere—meaningIdrovethroughitat100milesanhouronthewaytosomewhereelse. Whenyoutravelathighspeedthepresentmeansnothing:youlivemainlyinthefuturebecauseyouspendmostofyourtimelookingforwardtoarrivingatsomeotherplace.Butactualarrivalwhenitisachievedismeaningless.Youwanttomoveonagain.Bytravelinglikethisyoususpendallexperience;thepresentceasestobeareality:youmightjustaswellbedead.Thetraveleronfootontheotherhandlivesconstantlyinthepresent.Forhimtravelingandarrivingareoneandthesamething:hearrivessomewherewitheverystephemakes.Heexperiencesthepresentmomentwithhiseyeshisearsandthewholeofhisbody.Attheendofhisjourneyhefeelsadeliciousphysicalweariness.Heknowsthatsound.Satisfyingsleepwillbehis:thejustrewardofalltruetravelers. Whatisthepurposeoftheauthorinwritingthispassage
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AAgoodmemoryisagreathelpinlearningalanguage.Everybodylearnshisownlanguagesbyrememberingwhathehearswhenheisasmallchildandsomechildrenlikeboysandgirlswholiveabroadwiththeirparentsseemstolearntwolanguagesalmostaseasilyasone.Intheschoolitisnoteasytolearnasecondlanguagebecausethepupilshavesolittletimeforitandtheyarebusywithothersubjectstoo.Ourmindisratherlikeacamerabutittakesphotosnotonlyofwhatweseebutofwhatwefeelhearsmellandtaste.Whenwetakearealphotowithacamerathereismuchtodobeforethephotoisfinishedandreadytoshowtoourfriends.Inthesamewaythereismuchworktobedonebeforewecankeepapictureforeverinourmind.Memoryisthediarythatweallcarryaboutwithus.根据短文内容选择正确答案5分 Ifyouhaveagoodyou’llhavelessdifficultyinlearningsomething.
B Whenyouthinkofthetremendoustechnologicalprogresswehavemadeit’samazinghowlittlewehavedevelopedinotherrespects.WemayspeakcontemptuouslyofthepooroldRomansbecausetheyrelishedtheorgiesofslaughterthatwentonintheirarenas.Wemaydespisethembecausetheymistookthesegoingsonforentertainment.Wemayforgivethemcondescendinglybecausetheylived2000yearsagoandobviouslyknewnobetter.ButareourfeelingsofsuperiorityreallyjustifiedAreweanylessbloodthirstyWhydoboxingmatchesforinstanceattractsuchuniversalinterestDon’tthespectatorswhoattendthemhopetheywillseesomeviolenceHumanbeingsremainasbloodthirstyasevertheywere.TheonlydifferencebetweenourselvesandtheRomansisthatwhiletheywerehonestenoughtoadmitthattheyenjoyedwatchinghungrylionstearingpeopleapartandeatingthemalivewefindallsortsofsophisticatedargumentstodefendsportswhichshouldhavebeenbannedlongago;sportswhicharequiteasbarbarousassaypublichangingsorbearbaiting. Itreallyisincrediblethatinthisdayandageweshouldstillallowhuntingorbullfightingthatwe[此资料转贴于ＧＺＵ５２１学习网]ｗww.Ｇzu５21.ｃomshouldbepreparedtositbackandwatchtwomenbattereachothertopulpinaboxingringthatweshouldberelativelyunmovedbythesightofoneoranumberofracingcarscrashingandburstingintoflames.Letusnotdeceiveourselves.Anytalkofthesportingspiritissheerhypocrisy.Peopletakepartinviolentsportsbecauseofthehighrewardstheybring.Spectatorsarewillingtopayvastsumsofmoneytoseeviolence.Aworldheavyweightchampionshipmatchforinstanceisfrontpagenews.Millionsofpeoplearedisappointedifabigfightisoverintworoundsinsteadoffifteen.Theyfeeldisappointmentbecausetheyhavebeendeprivedoftheexquisitepleasureofwitnessingprolongedtortureandviolence. WhyshouldwebanviolentsportsifpeopleenjoythemsomuchYoumaywellask.Theanswerissimple:theyareuncivilized.Forcenturiesmanhasbeentryingtoimprovehimselfspirituallyandemotionally—admittedlywithlittlesuccess.Butatleastwenolongertoleratethesightofmadmenbeingcoopedupincagesorpublicfloggingsofanyofthecountlessotherbarbaricpracticeswhichwerecommoninthepast.Prisonsarenolongerthegrimforbiddingplacestheyusedtobe.Socialwelfaresystemsareinoperationinmanypartsoftheworld.Bigeffortsarebeingmadetodistributewealthfairly.Thesechangeshavecomeaboutnotbecausehumanbeingshavesuddenlyandunaccountablyimprovedbutbecausepositivestepsweretakentochangethelaw.Thelawisthebiggestinstrumentofsocialchangethatwehaveanditmayexertgreatcivilizinginfluence.Ifwebanneddangerousandviolentsportswewouldbemovingonestepfurthertoimprovingmankind.Wewouldrecognizethatviolenceisdegradingandunworthyofhumanbeings. Thepurposeoftheauthorinwritingthispassageis.
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It’sthebestadvertisementforadvertisingthereis.
C WhenIwaslookingforaChristmaspresentformydaughterinatoystoreanicelydressedlittlegirlwithsomemoneyinherlittlehandwaslookingatsomebeautifuldolls.Whenshesawadollshelikedshewouldaskherfatherifshehadenoughmoney.Heusuallysaidyes. Atthesametimeaboywitholdandsmallclotheswaslookingatsomevideogames.Hetoohadmoneyinhishandbutitlookednomorethanfivedollars.Eachtimehepickeduponeofthevideogamesandlookedathisfatherheshookhishead. Thelittlegirlhadchosenherdollaverybeautifulone.Howevershenoticedtheboyandhisfather.Shesawtheboygiveupavideogamewithdisappointment失望andwalktoanothercornerofthestore. Thelittlegirlputherdollbacktotheshelfandranovertothevideogame.Aftershetalkedtoherfathershepaidforthevideogameandwhispered耳语totheshopassistant. Sotheboygotthevideogamethathewantedforfree—hewastolditwasaprizefromthestore.Hesmiledhappilyalthoughhefeltitwassoincredible. Thegirlsawallthishappen.Shesmiledtoo. WhenIwalkedoutofthestoretomycarIheardthefatheraskhisdaughterwhyshehaddonethat.Iwouldneverforgettheirshorttalk.Daddydidn’tGrandmawantmetobuysomethingthatwouldmakemehappy HesaidOfcourseshedid. WellIjustdid!Withthatthelittlegirlstartedskipping蹦跳towardstheircarhappily. WhichofthefollowingisTRUEaccordingtothestory
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D Ranch.ItwasnearLosAngelesinCalifornia.AfewyearslaterHollywoodwasoneofthefamousplacesintheworld.Atthebeginningofthe20thcenturytherewasabigfarmcalledHollywood.Fromthe1910’stothe1950’sHollywoodwasthefilmcenteroftheworld. Everyfamilyknewthenamesofitsfilmstars—CharlieChaplinGretaGarboBergmanandhundredsmore. ThereasonwhypeoplewenttoHollywoodtomakefilmswasthesun.AtfirstpeoplemadefilmsinNewYorkontheeastcoastoftheUnitedStates. ButthentheyheardaboutLosAngeleswherethereare350daysofthesuneveryyear.Astheymadeallthefilmsbysunlightthewestcoastwasamuchbetterplacetowork.AlsonearHollywoodyoucanfindmountainsandseaanddesert.Theydidnothavetotravelfartomakeanykindoffilm. WhenTVbecamepopularHollywoodstartedmakingfilmsfortelevision.Theninthe1970’stheydiscoveredpeoplestillwenttothecinematoseebigexpensivefilms.NowadaystheyarestillmakingfilmsinHollywoodandpeopleseethemallovertheworld. Whowasnotmentioned提到asafilmstarinthepassage.
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...twomenbattereachothertopulpintheboxingring.
D Ranch.ItwasnearLosAngelesinCalifornia.AfewyearslaterHollywoodwasoneofthefamousplacesintheworld.Atthebeginningofthe20thcenturytherewasabigfarmcalledHollywood.Fromthe1910’stothe1950’sHollywoodwasthefilmcenteroftheworld. Everyfamilyknewthenamesofitsfilmstars—CharlieChaplinGretaGarboBergmanandhundredsmore. ThereasonwhypeoplewenttoHollywoodtomakefilmswasthesun.AtfirstpeoplemadefilmsinNewYorkontheeastcoastoftheUnitedStates. ButthentheyheardaboutLosAngeleswherethereare350daysofthesuneveryyear.Astheymadeallthefilmsbysunlightthewestcoastwasamuchbetterplacetowork.AlsonearHollywoodyoucanfindmountainsandseaanddesert.Theydidnothavetotravelfartomakeanykindoffilm. WhenTVbecamepopularHollywoodstartedmakingfilmsfortelevision.Theninthe1970’stheydiscoveredpeoplestillwenttothecinematoseebigexpensivefilms.NowadaystheyarestillmakingfilmsinHollywoodandpeopleseethemallovertheworld. Whichstatement说法istrue
Therearemanykindsoffriends.Somearealways16youbutdontunderstandyou.Somesayonlyafewwordstoyoubutunderstandyou.Manypeoplewillstepinyourlifebutonly17friendsleavefootprints脚印. Ishallalwaysrecall回忆theautumnandthegirlwiththe18.Shewillalwaysbringbackthefriendshipbetweenus.Iknowshewillalwaysbemybestfriend. Itwasthegoldenseason.Icouldseetheyellowleaves19withthecool20.InsuchaseasonIlikedwalkingaloneontheroadscoveredwithleaves21tothesoundofthem. Autumnisa22seasonandlifeisuninteresting.Thefreedaysalwaysgetme23.Butonedaythesoundofaviolin24intomyearslikeastream小溪flowinginthemountains.IwassosurprisedthatIjumpedtoseewhatitwas.Ayounggirlstandinginthewindwas25inplayingherviolin. Ihad26seenherbefore.ThemusicwassonicethatIlistenedquietly.LostinthemusicIdidntknowthatIhadbeen27thereforsolongbutmyexistence存在didnotseemtodisturbher. Leaveswerestillfalling.Everydaysheplayedtheviolinatthecornerofthebuilding28Iw资:料;来/源于ＧＺＵ５２１学:习;网http://Ｇzｕ５２1.COmentdownstairstowatchherperformance.Iwastheonlylistener.Theautumnseemednolongerlonelyandlifebecame29.30wedidntknoweachotherIthoughtwewerealreadygoodfriends.Ibelieveshealsolovedme. Autumnwasnearlyover.OnedaywhenIwaslisteningcarefullythesoundsuddenly31.Tomyastonishment惊讶thegirlcameovertome. Youmustlikewusicfromtheviolin.shesaid. Yes.Andyouplayverywell.WhydidyoustopIasked. Suddenlya32expressionappearedonherfaceandIcouldfeelsomethingunusual. IcameheretoseemygrandmotherbutnowImustleave.Ionceplayedverybadly.Itwasyourlisteningeverydaythat33me.shesaid. Infactitwasyourplaying34gavemeameaningfulautumnIansweredLetsbefriends. ThegirlsmiledandsodidI.Ineverheardherplayagaininmylife.Inolongerwentdownstairstolistentoher.Onlythickleaveswereleftbehind.ButIwillalwaysrememberthefinefigure身影ofthegirl.Sheislikea35—soshortsobrightlikeashootingstargivingoffsomuchlightthatmakestheautumnbeautiful.
Themanhereforthreedays.
Thereisgoingtoaclassmeetingthisafternoon.
C WhenIwaslookingforaChristmaspresentformydaughterinatoystoreanicelydressedlittlegirlwithsomemoneyinherlittlehandwaslookingatsomebeautifuldolls.Whenshesawadollshelikedshewouldaskherfatherifshehadenoughmoney.Heusuallysaidyes. Atthesametimeaboywitholdandsmallclotheswaslookingatsomevideogames.Hetoohadmoneyinhishandbutitlookednomorethanfivedollars.Eachtimehepickeduponeofthevideogamesandlookedathisfatherheshookhishead. Thelittlegirlhadchosenherdollaverybeautifulone.Howevershenoticedtheboyandhisfather.Shesawtheboygiveupavideogamewithdisappointment失望andwalktoanothercornerofthestore. Thelittlegirlputherdollbacktotheshelfandranovertothevideogame.Aftershetalkedtoherfathershepaidforthevideogameandwhispered耳语totheshopassistant. Sotheboygotthevideogamethathewantedforfree—hewastolditwasaprizefromthestore.Hesmiledhappilyalthoughhefeltitwassoincredible. Thegirlsawallthishappen.Shesmiledtoo. WhenIwalkedoutofthestoretomycarIheardthefatheraskhisdaughterwhyshehaddonethat.Iwouldneverforgettheirshorttalk.Daddydidn’tGrandmawantmetobuysomethingthatwouldmakemehappy HesaidOfcourseshedid. WellIjustdid!Withthatthelittlegirlstartedskipping蹦跳towardstheircarhappily. Theboy.
D Ranch.ItwasnearLosAngelesinCalifornia.AfewyearslaterHollywoodwasoneofthefamousplacesintheworld.Atthebeginningofthe20thcenturytherewasabigfarmcalledHollywood.Fromthe1910’stothe1950’sHollywoodwasthefilmcenteroftheworld. Everyfamilyknewthenamesofitsfilmstars—CharlieChaplinGretaGarboBergmanandhundredsmore. ThereasonwhypeoplewenttoHollywoodtomakefilmswasthesun.AtfirstpeoplemadefilmsinNewYorkontheeastcoastoftheUnitedStates. ButthentheyheardaboutLosAngeleswherethereare350daysofthesuneveryyear.Astheymadeallthefilmsbysunlightthewestcoastwasamuchbetterplacetowork.AlsonearHollywoodyoucanfindmountainsandseaanddesert.Theydidnothavetotravelfartomakeanykindoffilm. WhenTVbecamepopularHollywoodstartedmakingfilmsfortelevision.Theninthe1970’stheydiscoveredpeoplestillwenttothecinematoseebigexpensivefilms.NowadaystheyarestillmakingfilmsinHollywoodandpeopleseethemallovertheworld. Hollywoodusedtobea.
HehasmorebooksthanI.
Therearemanykindsoffriends.Somearealways16youbutdontunderstandyou.Somesayonlyafewwordstoyoubutunderstandyou.Manypeoplewillstepinyourlifebutonly17friendsleavefootprints脚印. Ishallalwaysrecall回忆theautumnandthegirlwiththe18.Shewillalwaysbringbackthefriendshipbetweenus.Iknowshewillalwaysbemybestfriend. Itwasthegoldenseason.Icouldseetheyellowleaves19withthecool20.InsuchaseasonIlikedwalkingaloneontheroadscoveredwithleaves21tothesoundofthem. Autumnisa22seasonandlifeisuninteresting.Thefreedaysalwaysgetme23.Butonedaythesoundofaviolin24intomyearslikeastream小溪flowinginthemountains.IwassosurprisedthatIjumpedtoseewhatitwas.Ayounggirlstandinginthewindwas25inplayingherviolin. Ihad26seenherbefore.ThemusicwassonicethatIlistenedquietly.LostinthemusicIdidntknowthatIhadbeen27thereforsolongbutmyexistence存在didnotseemtodisturbher. Leaveswerestillfalling.Everydaysheplayedtheviolinatthecornerofthebuilding28Iw资:料;来/源于ＧＺＵ５２１学:习;网http://Ｇzｕ５２1.COmentdownstairstowatchherperformance.Iwastheonlylistener.Theautumnseemednolongerlonelyandlifebecame29.30wedidntknoweachotherIthoughtwewerealreadygoodfriends.Ibelieveshealsolovedme. Autumnwasnearlyover.OnedaywhenIwaslisteningcarefullythesoundsuddenly31.Tomyastonishment惊讶thegirlcameovertome. Youmustlikewusicfromtheviolin.shesaid. Yes.Andyouplayverywell.WhydidyoustopIasked. Suddenlya32expressionappearedonherfaceandIcouldfeelsomethingunusual. IcameheretoseemygrandmotherbutnowImustleave.Ionceplayedverybadly.Itwasyourlisteningeverydaythat33me.shesaid. Infactitwasyourplaying34gavemeameaningfulautumnIansweredLetsbefriends. ThegirlsmiledandsodidI.Ineverheardherplayagaininmylife.Inolongerwentdownstairstolistentoher.Onlythickleaveswereleftbehind.ButIwillalwaysrememberthefinefigure身影ofthegirl.Sheislikea35—soshortsobrightlikeashootingstargivingoffsomuchlightthatmakestheautumnbeautiful.
A WhereisLoveHowcanwefindLove Thepastagesofmanhaveallbeencarefullylabeledbyanthropologists.DescriptionslikePaleolithicManNeolithicManetc.neatlysumupthewholeperiods.WhenthetimecomesforanthropologiststoturntheirattentiontothetwentiethcenturytheywillsurelychoosethelabelLeglessMan.Historiesofthetimewillgosomethinglikethis:inthetwentiethcenturypeopleforgothowtousetheirlegs.Menandwomenmovedaboutincarsbusesandtrainsfromaveryearlyage.Therewereliftsandescalatorsinalllargebuildingstopreventpeoplefromwalking.Thissituationwasforceduponearthdwellersofthattimebecauseofmileseachday.Butthesurprisingthingisthattheydidn’tusetheirlegsevenwhentheywentonholiday.Theybuiltcablerailwaysskiliftsandroadstothetopofeveryhugemountain.Allthebeautyspotsonearthweremarredbythepresenceoflargecarparks. Thefuturehistorybooksmightalsorecordthatweweredeprivedoftheuseofoureyes.Inourhurrytogetfromoneplacetoanotherwefailedtoseeanythingontheway.Airtravelgivesyouabird’seyeviewoftheworld—orevenlessifthewingoftheaircrafthappenstogetinyourway.Whenyoutravelbycarortrainablurredimageofthecountrysideconstantlysmearsthewindows.Cardriversinparticularareforeverobsessedwiththeurgetogoonandon:theyneverwanttostop.IsitthelureofthegreatmotorwaysorwhatAndasforseatravelithardlydeservesmention.Itisperfectlysummedupinthewordsoftheoldsong:IjoinedthenavytoseetheworldandwhatdidIseeIsawthesea.ThetypicaltwentiethcenturytraveleristhemanwhoalwayssaysI’vebeenthere.YoumentiontheremotestmostevocativeplacenamesintheworldlikeElDoradoKabulIrkutskandsomeoneisboundtosayI’vebeenthere—meaningIdrovethroughitat100milesanhouronthewaytosomewhereelse. Whenyoutravelathighspeedthepresentmeansnothing:youlivemainlyinthefuturebecauseyouspendmostofyourtimelookingforwardtoarrivingatsomeotherplace.Butactualarrivalwhenitisachievedismeaningless.Youwanttomoveonagain.Bytravelinglikethisyoususpendallexperience;thepresentceasestobeareality:youmightjustaswellbedead.Thetraveleronfootontheotherhandlivesconstantlyinthepresent.Forhimtravelingandarrivingareoneandthesamething:hearrivessomewherewitheverystephemakes.Heexperiencesthepresentmomentwithhiseyeshisearsandthewholeofhisbody.Attheendofhisjourneyhefeelsadeliciousphysicalweariness.Heknowsthatsound.Satisfyingsleepwillbehis:thejustrewardofalltruetravelers. Travellingathighspeedmeans.
B Whenyouthinkofthetremendoustechnologicalprogresswehavemadeit’samazinghowlittlewehavedevelopedinotherrespects.WemayspeakcontemptuouslyofthepooroldRomansbecausetheyrelishedtheorgiesofslaughterthatwentonintheirarenas.Wemaydespisethembecausetheymistookthesegoingsonforentertainment.Wemayforgivethemcondescendinglybecausetheylived2000yearsagoandobviouslyknewnobetter.ButareourfeelingsofsuperiorityreallyjustifiedAreweanylessbloodthirstyWhydoboxingmatchesforinstanceattractsuchuniversalinterestDon’tthespectatorswhoattendthemhopetheywillseesomeviolenceHumanbeingsremainasbloodthirstyasevertheywere.TheonlydifferencebetweenourselvesandtheRomansisthatwhiletheywerehonestenoughtoadmitthattheyenjoyedwatchinghungrylionstearingpeopleapartandeatingthemalivewefindallsortsofsophisticatedargumentstodefendsportswhichshouldhavebeenbannedlongago;sportswhicharequiteasbarbarousassaypublichangingsorbearbaiting. Itreallyisincrediblethatinthisdayandageweshouldstillallowhuntingorbullfightingthatwe[此资料转贴于ＧＺＵ５２１学习网]ｗww.Ｇzu５21.ｃomshouldbepreparedtositbackandwatchtwomenbattereachothertopulpinaboxingringthatweshouldberelativelyunmovedbythesightofoneoranumberofracingcarscrashingandburstingintoflames.Letusnotdeceiveourselves.Anytalkofthesportingspiritissheerhypocrisy.Peopletakepartinviolentsportsbecauseofthehighrewardstheybring.Spectatorsarewillingtopayvastsumsofmoneytoseeviolence.Aworldheavyweightchampionshipmatchforinstanceisfrontpagenews.Millionsofpeoplearedisappointedifabigfightisoverintworoundsinsteadoffifteen.Theyfeeldisappointmentbecausetheyhavebeendeprivedoftheexquisitepleasureofwitnessingprolongedtortureandviolence. WhyshouldwebanviolentsportsifpeopleenjoythemsomuchYoumaywellask.Theanswerissimple:theyareuncivilized.Forcenturiesmanhasbeentryingtoimprovehimselfspirituallyandemotionally—admittedlywithlittlesuccess.Butatleastwenolongertoleratethesightofmadmenbeingcoopedupincagesorpublicfloggingsofanyofthecountlessotherbarbaricpracticeswhichwerecommoninthepast.Prisonsarenolongerthegrimforbiddingplacestheyusedtobe.Socialwelfaresystemsareinoperationinmanypartsoftheworld.Bigeffortsarebeingmadetodistributewealthfairly.Thesechangeshavecomeaboutnotbecausehumanbeingshavesuddenlyandunaccountablyimprovedbutbecausepositivestepsweretakentochangethelaw.Thelawisthebiggestinstrumentofsocialchangethatwehaveanditmayexertgreatcivilizinginfluence.Ifwebanneddangerousandviolentsportswewouldbemovingonestepfurthertoimprovingmankind.Wewouldrecognizethatviolenceisdegradingandunworthyofhumanbeings. Itcanbeinferredfromthepassagethattheauthor’sopinionofnowadays’humanbeingsis.
Weliveinthe“computerage”.Peoplelikescientiststeacherswritersandevenstudentsusecomputerstodo11work.Butmorethan50yearsago12couldn’tdomuch.Theywereverybigandexpensive.Very13peoplewereinterested14themandknewhowtousethem.Todaycomputersaresmallerand15.AndtheycandoalotofworkManypeopleliketousethem.Moreandmorepeopleevenhavethemathome.Computersbecomeveryimportantbecausetheycanwork16thanmenandmakefewermistakes.Computerscanhelppeople17alotofwork.Writersnowusecomputerstowrite.Teachersusethemtohelpteachingandstudentsusethemtostudy.Computerscanalsorememberwhatyouput18them.Computersarevery19andhelpful.Theyareourgoodfriends.Doyouwantto20acomputer 16
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