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以直角三角形ABC的两直角边AC、BC为一边各向外侧作正方形ACDE、BCGH,连结BE、AH分别交AC、BC于P、Q.求证:CP=CQ.
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以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACB
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以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACBC
以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACB
以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACB
以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACB
以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACB
以直角三角形ABC的两直角边ACBC为一边各向外侧作正方形ACDEBCGH连结BEAH分别交ACB
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WhereisloveHowcanwefindloveThepastagesofmanhaveallbeencarefullylabeledbyanthropologists.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.YoumentiontheremotestmostevocativeplacenamesintheworldlikeE1DoradoKabulIrkutskandsomeoneisboundtosayI’vebeenthere—meaningIdrovethroughitat100milesanhouronthewaytosomewhereelse.Whenyoutravelathighspeedthepresentmeansnothing:youlivemainlyinthefuturebecauseyouspendmostofyourtimelookingforwardtoarrivingatsomeotherplace.Butactualarrivalwhenitisachievedismeaningless.Youwanttomoveonagain.Bytravelinglikethisyoususpendallexperience;thepresentceasestobeareality:youmightjustaswellbedead.Thetraveleronfootontheotherhandlivesconstantlyinthepresent.Forhimtravelingandarrivingareoneandthesamething:hearrivessomewherewitheverystephemakes.Heexperiencesthepresentmomentwithhiseyeshisearsandthewholeofhisbody.Attheendofhisjourneyhefeelsadeliciousphysicalweariness.Heknowsthatsound.Satisfyingsleepwillbehis:thejustrewardofalltruetravelers.Anthropologistslabelnowadays’menLeglessbecause______.
已知点A02和抛物线y2=x+4上两点BC使得AB⊥BC求点C的纵坐标的取值范围.
WhereisloveHowcanwefindloveThepastagesofmanhaveallbeencarefullylabeledbyanthropologists.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.YoumentiontheremotestmostevocativeplacenamesintheworldlikeE1DoradoKabulIrkutskandsomeoneisboundtosayI’vebeenthere—meaningIdrovethroughitat100milesanhouronthewaytosomewhereelse.Whenyoutravelathighspeedthepresentmeansnothing:youlivemainlyinthefuturebecauseyouspendmostofyourtimelookingforwardtoarrivingatsomeotherplace.Butactualarrivalwhenitisachievedismeaningless.Youwanttomoveonagain.Bytravelinglikethisyoususpendallexperience;thepresentceasestobeareality:youmightjustaswellbedead.Thetraveleronfootontheotherhandlivesconstantlyinthepresent.Forhimtravelingandarrivingareoneandthesamething:hearrivessomewherewitheverystephemakes.Heexperiencesthepresentmomentwithhiseyeshisearsandthewholeofhisbody.Attheendofhisjourneyhefeelsadeliciousphysicalweariness.Heknowsthatsound.Satisfyingsleepwillbehis:thejustrewardofalltruetravelers.Whatdoesabird’seyeviewmean
WhereisloveHowcanwefindloveThepastagesofmanhaveallbeencarefullylabeledbyanthropologists.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.YoumentiontheremotestmostevocativeplacenamesintheworldlikeE1DoradoKabulIrkutskandsomeoneisboundtosayI’vebeenthere—meaningIdrovethroughitat100milesanhouronthewaytosomewhereelse.Whenyoutravelathighspeedthepresentmeansnothing:youlivemainlyinthefuturebecauseyouspendmostofyourtimelookingforwardtoarrivingatsomeotherplace.Butactualarrivalwhenitisachievedismeaningless.Youwanttomoveonagain.Bytravelinglikethisyoususpendallexperience;thepresentceasestobeareality:youmightjustaswellbedead.Thetraveleronfootontheotherhandlivesconstantlyinthepresent.Forhimtravelingandarrivingareoneandthesamething:hearrivessomewherewitheverystephemakes.Heexperiencesthepresentmomentwithhiseyeshisearsandthewholeofhisbody.Attheendofhisjourneyhefeelsadeliciousphysicalweariness.Heknowsthatsound.Satisfyingsleepwillbehis:thejustrewardofalltruetravelers.Whydoestheauthorsaywearedeprivedoftheuseofoureyes
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WhenIlivedinSpainsomeSpanishfriendsofminedecidedtovisitEnglandbycar.Beforetheylefttheyaskedmeforadviceabouthowtofindaccommodation.IsuggestedthattheyshouldstayatbedandbreakfasthousesbecausethiskindofaccommodationgivesaforeignvisitoragoodchancetospeakEnglishwiththefamily.Myfriendslistenedtomyadvicebuttheycamebackwithsomefunnystories.Wedidn’tstayatbedandbreakfasthousestheysaidbecausewefoundthatmostfamilieswereawayonholiday.Ithoughtthiswasstrange.FinallyIunderstoodwhathadhappened.MyfriendsspokelittleEnglishandtheythoughtVACANCIESmeantholidaysbecausetheSpanishwordforholidayisvacation.SotheydidnotgotohousewherethesignoutsidesaidVACANCIESwhichinEnglishmeanstherearefreerooms.ThenmyfriendswenttohousewherethesignsaidNOVACANCIESbecausetheythoughtthismeantthepeoplewhoownedthehousewerenotawayonholiday.Buttheyfoundthatthesehouseswereallfull.Asaresulttheystayedathotels!Welaughedaboutthisandaboutmistakesmyfriendsmadeinreadingothersigns.InSpanishthewordDIVERSIONmeansfun.InEnglishitmeansthatworkmenarerepairingtheroadandthatyoumusttakeadifferentroad.WhenmyfriendssawthewordDIVERSIONonaroadsigntheythoughttheyweregoingtohavefun.Insteadtheroadisblockedbyacrowd.Englishpeoplehaveproblemstoowhentheylearnforeignlanguages.OnceinPariswhensomeoneofferedmesomemorecoffeeIsaidThankyouinFrench.ImeantthatIwouldlikesomemore.Howevertomysurprisethecoffeepotwastakenaway!LaterIfoundoutthatThankyouinFrenchmeansNothankyou.IwassurprisedwhenthecoffeepotwastakenawaybecauseI______.
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Behindourhouseisthestartofafascinatingtrail小径.Thistrailisoneoftheoldroadsthatwindthroughuntoldmilesofforest.My36BeansandIwalkthetrailfrequently.NormallyBeanssniffsalongsidethetrailtofollowthesmellofadeertrackorexploresomecauseknownonlytohim. Beansisawhitedogquitehandsomeandverysmart.Henotonlyunderstandswhatwetellhimbutalsooftenmakessoundsasifheweretryingto37back. Onemorningwetookadifferentroutewhichledustoanunfamiliartrail.Iwassurethistrailwouldeventuallyleadustoourfamiliar38.Butno.Weseemedtobefaroffcourse.AftertwohoursIsuddenlyrealizedthatBeansprobably39thewayhome.SoIurged"Beanstakemehome."Herandownanewtrail.Butitmerelyledtoanintersection岔道口oftrails. Soonitbecame40thatweweregettingnowhere.Ibegantopicturetherestofthedayinthe41withoutfoodordrink.Wehadwalkedabouttenmiles.ButBeansseemedtotally42Thesniffingandexploringwasgoingwellforhim. Finallywe43acrossroadnearahighway.LadyLucksuggestedIshouldturnleft.Wedidand44reachedacottagebesideafield.Iknockedonthedoorandexplainedmysituationtoanoldman.Helaughedandthendroveushome. SinceouradventureI45thatBeansprobablyknewallalonghowtogethome. Hewasjusthavingtoomuchfanexploringnewtrails. 44
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如图是一个水平摆放的小正方体木块图23是由这样的小正方体木块叠放而成按照这样的规律继续叠放下去至第七个叠放的图形中小正方体木块总数应是.
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已知向量且 1求tanA的值 2求函数fx=cos2x+tanAsinxx∈R的值域.
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WhenIlivedinSpainsomeSpanishfriendsofminedecidedtovisitEnglandbycar.Beforetheylefttheyaskedmeforadviceabouthowtofindaccommodation.IsuggestedthattheyshouldstayatbedandbreakfasthousesbecausethiskindofaccommodationgivesaforeignvisitoragoodchancetospeakEnglishwiththefamily.Myfriendslistenedtomyadvicebuttheycamebackwithsomefunnystories.Wedidn’tstayatbedandbreakfasthousestheysaidbecausewefoundthatmostfamilieswereawayonholiday.Ithoughtthiswasstrange.FinallyIunderstoodwhathadhappened.MyfriendsspokelittleEnglishandtheythoughtVACANCIESmeantholidaysbecausetheSpanishwordforholidayisvacation.SotheydidnotgotohousewherethesignoutsidesaidVACANCIESwhichinEnglishmeanstherearefreerooms.ThenmyfriendswenttohousewherethesignsaidNOVACANCIESbecausetheythoughtthismeantthepeoplewhoownedthehousewerenotawayonholiday.Buttheyfoundthatthesehouseswereallfull.Asaresulttheystayedathotels!Welaughedaboutthisandaboutmistakesmyfriendsmadeinreadingothersigns.InSpanishthewordDIVERSIONmeansfun.InEnglishitmeansthatworkmenarerepairingtheroadandthatyoumusttakeadifferentroad.WhenmyfriendssawthewordDIVERSIONonaroadsigntheythoughttheyweregoingtohavefun.Insteadtheroadisblockedbyacrowd.Englishpeoplehaveproblemstoowhentheylearnforeignlanguages.OnceinPariswhensomeoneofferedmesomemorecoffeeIsaidThankyouinFrench.ImeantthatIwouldlikesomemore.Howevertomysurprisethecoffeepotwastakenaway!LaterIfoundoutthatThankyouinFrenchmeansNothankyou.MySpanishfriendswantedadviceabout______.
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Opinionpollsarenowbeginningtoshowthatwhoeveristoblameandwhateverhappensfromnowonhighunemploymentisprobablyheretostay.Thismeansweshallhavetofindwaysofsharingtheavailableemploymentmorewidely.Butweneedtogofurther.Wemustasksomefundamentalquestionsaboutthefuturework.ShouldwecontinuetotreatemploymentasthenormShouldwenotratherencouragemanywaysforself-respectingpeopletoworkShouldwenotcreateconditionsinwhichmanyofuscanworkforourselvesratherthanforanemployerShouldwenotaimtorevivethehouseholdandtheneighborhoodaswellasthefactoryandtheofficeascentersofproductionandworkTheindustrialagehasbeentheonlyperiodofhumanhistoryinwhichmostpeople’sworkhastakentheformofjobs.Theindustrialagemaynowbecomingtoanendandsomeofthechangesinworkpatternswhichitbroughtmayhavetobereversed.Thisseemsadauntingthought.Butinfactitcouldoffertheprospectofabetterfutureforwork.Universalemploymentasitshistoryshowshasnotmeanteconomicfreedom.Employmentbecamewidespreadwhentheenclosuresofthe17thand18thcenturiesmademanypeopledependentonpaidworkbydeprivingthemoftheuseofthelandandthusofthemeanstoprovidealivingforthemselves.Thenthefactorysystemdestroyedthecottageindustriesandremovedworkfrompeople’shomes.Laterastransportimprovedfirstbyrailandthenbyroadpeoplecommutedlongerdistancestotheirplacesofemploymentuntileventuallymanypeople’sworklostallconnectionwiththeirhomelivesandtheplacesinwhichtheylive.Meanwhileemploymentputwomenatadisadvantage.Inpreindustrialtimesmenandwomenhadsharedtheproductiveworkofthehouseholdandvillagecommunity.Nowitbecamecustomaryforthehusbandtogoouttopaidemploymentleavingtheunpaidworkofthehomeandfamiliestohiswife.Taxandbenefitregulationsstillassumethisnormtodayandrestrictmoreflexiblesharingofworkrolesbetweenthesexes.Itwasnotonlywomenwhoseworkstatussuffered.Asemploymentbecamethedominantformofworkyoungpeopleandoldpeoplewereexcluded—aproblemnowasmoreteenagersbecomefrustratedatschoolandmoreretiredpeoplewanttoliveactivelives.Allthismaynowhavetochange.Thetimehascertainlycometoswitchsomeeffortandresourcesawayfromtheidealistgoalcrea-tingjobsforalltotheurgentpracticaltaskofhelpingmanypeopletomanagewithoutfull-timejobs.Whatdoestheworddauntinginthethirdparagraphmean
Opinionpollsarenowbeginningtoshowthatwhoeveristoblameandwhateverhappensfromnowonhighunemploymentisprobablyheretostay.Thismeansweshallhavetofindwaysofsharingtheavailableemploymentmorewidely.Butweneedtogofurther.Wemustasksomefundamentalquestionsaboutthefuturework.ShouldwecontinuetotreatemploymentasthenormShouldwenotratherencouragemanywaysforself-respectingpeopletoworkShouldwenotcreateconditionsinwhichmanyofuscanworkforourselvesratherthanforanemployerShouldwenotaimtorevivethehouseholdandtheneighborhoodaswellasthefactoryandtheofficeascentersofproductionandworkTheindustrialagehasbeentheonlyperiodofhumanhistoryinwhichmostpeople’sworkhastakentheformofjobs.Theindustrialagemaynowbecomingtoanendandsomeofthechangesinworkpatternswhichitbroughtmayhavetobereversed.Thisseemsadauntingthought.Butinfactitcouldoffertheprospectofabetterfutureforwork.Universalemploymentasitshistoryshowshasnotmeanteconomicfreedom.Employmentbecamewidespreadwhentheenclosuresofthe17thand18thcenturiesmademanypeopledependentonpaidworkbydeprivingthemoftheuseofthelandandthusofthemeanstoprovidealivingforthemselves.Thenthefactorysystemdestroyedthecottageindustriesandremovedworkfrompeople’shomes.Laterastransportimprovedfirstbyrailandthenbyroadpeoplecommutedlongerdistancestotheirplacesofemploymentuntileventuallymanypeople’sworklostallconnectionwiththeirhomelivesandtheplacesinwhichtheylive.Meanwhileemploymentputwomenatadisadvantage.Inpreindustrialtimesmenandwomenhadsharedtheproductiveworkofthehouseholdandvillagecommunity.Nowitbecamecustomaryforthehusbandtogoouttopaidemploymentleavingtheunpaidworkofthehomeandfamiliestohiswife.Taxandbenefitregulationsstillassumethisnormtodayandrestrictmoreflexiblesharingofworkrolesbetweenthesexes.Itwasnotonlywomenwhoseworkstatussuffered.Asemploymentbecamethedominantformofworkyoungpeopleandoldpeoplewereexcluded—aproblemnowasmoreteenagersbecomefrustratedatschoolandmoreretiredpeoplewanttoliveactivelives.Allthismaynowhavetochange.Thetimehascertainlycometoswitchsomeeffortandresourcesawayfromtheidealistgoalcrea-tingjobsforalltotheurgentpracticaltaskofhelpingmanypeopletomanagewithoutfull-timejobs.WhichofthefollowingwasNOTmentionedasafactorcontributingtothespreadofemployment
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