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Unit1Workbook,RobertBriggsisveryinterestedinbiologyandespeciallyinthestudyofplants.TodayheistellinghisfriendZhangWeisomeexcitingnews.Readthequestionsbeforeyoulistentothetape.Thiswillhelpyoutounderstandtheinformation.,1Beforeyoulistentothetapediscusswithyourpartnerhowyouwouldfindoutthenameofaflower.,Newwordsinthelisteningpassage:species(种类),parrot(鹦鹉),blackbird(画眉类)黑鸟,Thisisaboutamanwhowantstonameaflower.Thisisaboutamanwhofindsaflowerandwantstoownit.Thisisaboutamanwhofindsaflowerandwantstoknowifitisanewspeciesofflower.,Listentothetapeonceandtellwhatthislisteningpassageisabout.,Tofindthenameofanunknownflower,firstyoushouldaskyour_teachertohelpyou.He/Shewilllookinaspecial_writtenbyCarlLinnaeus.,biology,book,Listentothetapeagainandtrytocompletethefollowingpassage.,Helivedin_from_to_.Hewasveryimportantbecausehesolveda_problemforbiology.,Sweden,1707,1778,serious,Listentothetapeagainandanswerthesequestions.,1IfRobertBriggsfindtheflowerinthebook,whatdoesthatmean?2Howwouldheknowifhislilyisanewspecies?3Whydoplantsallhavetwonames?4WhatwastheseriousproblemforbiologythatLinnaeussolved?,1IfRobertBriggsfindstheflowerinthebook,whatdoesthatmean?,Itmeansthathisflowerhasalreadybeenidentifiedandhasaname.,2Howwouldheknowsifhislilyisanewspecies?,Hewouldknowbycheckinghislilyagainstotherliliesinthespecialistbook.Ifhislilyisdifferentitwillbeanewspecies.,3Whydoplantsallhavetwonames?,Allplantshavetwonamesjustlikepeople.Thefirstisthegroupofflowerstheybelongtoandislikethefamilyname.Thesecondisthekindofflowerwithinthatgroupandislikeagiven/personalname.,4WhatwastheseriousproblemforbiologythatLinnaeussolved?,BeforeLinnaeustherewasnowayoffindingoutwhetheraplantwasnewornot.Thiscausesproblemsbecausedifferentscientistsclaimedthattheyhadfoundandnamedflowersfirst.Afterheorganizedhissystemitwaseasytodiscoverwhetheraplantwasnewornotandsowhohadtherighttonameit.,NAMINGAFLOWERRobertBriggs(RB)istalkingtoZhangWei(ZW)aboutanewkindoflilyhehasfound.,Listeningtext,ZW:HelloRobert.Whatsthatbookyourecarrying?RB:Abookthathelpsyouidentifyaflower.ZW:Isee.Whydoyouwantthat?RB:Ivefoundthislily.Itlooksdifferenttome.SoIwanttofindoutifitsnewornot.Ourbiologyteachertoldmethatifitsalreadyknown,Idfinditinthisbook.,ZW:Wow!Soyouthinkyoumayhavefoundanewlily?RB:Ihopeso,butIhavetodosomeresearchfirsttofindoutforsure.ZW:Whathappensifitsinthebook?RB:Itmeansthatsomebodyelsehasfounditandnamedit.ThenIllknowitsbiologicalname.ZW:Whatdoyoumeanbythebiologicalname?,RB:Actuallylikeusaflowerhastwonames.Thefirstisthegroupofflowersitbelongstolikeafamilyname.Aroseisonesuchgroup.Thesecondisthekindofflowerlikeagivenname.Itmaydescribewhattheroselookslike;forexample,thecolourofanautumnsunset.Togetheryougettheflowersname,whichRoseAutumnSunset.,ZW:Gosh!Whomadethatsystem?RB:AgreatscientistcalledCarlLinnaeus.HelivedinSwedenfrom1707to1778.ZW:Solongago!RB:Yes,andhesolvedaveryseriousproblemforbiology.ZW:Whatwasthat?,RB:Beforehimnobodycouldtellifaplantwasnew,astherewasnowayofchecking.Thereresomanyplants,yousee!ZW:Yes,Iappreciatethat!Sohissystemisstillused?RB:Indeeditis.Ifmyflowerisntinthisbook,IllknowthatIvefoundanewkindoflily.,ZW:Thatsgreat!CanIcomeandhelpyou?Thisresearchsoundsfun.RB:Yes,andifImlucky(fadingout),1ThisisareportonlivingconditionsinEnglandinthenineteenthcentury.Choosetheproperwordsinitscorrectformtoputintothetext.,instructneighborhoodpollutedefeathandlesuspectblameseverecluelink.todrawtheconclusioncure,Educatedpeopleinthetwenty-firstcenturymayfindithardtobelievethattwohundredyearsagopeopledidnot_illness_problemsintheenvironment.WeallknowthatinLondondrinking_watercaused,link,to,polluted,manydeathsfromcholera.Therewasa_toitscausebecauseitalwaysstartedinthepoor_.Thenitspreadtothericherareasastheservantspassediton.Manydoctors_thatpollutedwaterwasto_andcleanwaterwasthe_.,clue,neighbourhood,suspected,blame,cure,JohnSnowsinvestigationprovedthatthedirtierthewater,themore_theillness.Sothegovernmentandthedoctors_thatwatermustbepurified.They_peopletoremovethe_fromthepumpsifthewaterwasinfected.Thuscholerawas_intheend.,instructed,drewtheconclusion,severe,handles,defeated,AnswerkeyforExercise2onpage42,1256341,3TranslatethesesentencesintoEnglish,usingthewordsandphrasesinbrackets.,1.除了去公园以外,这个夏天我就没有出过公寓。(apartfrom),Apartfromgoingtothepark,Ilimitmymovementstomyneighbourhood.,2.没有足够的证据很难作出结论。(makeaconclusion),Itisdifficulttodrawaconclusionwithoutenoughevidence.,3.这些科学实验的结果对于我们非常有价值,它们将有助于我们的研究取得成功。(scientificenquiry;contributeto),Thesescientificenquireswillcontributetothesuccessofourproject.,4.居斯特夫埃菲尔对他修建铁塔的计划满怀热情,而这座塔使他闻名于世。(GustaveEiffel;enthusiastic;construct),GustaveEiffelwasveryenthusiasticabouthisplantoconstructtheirontower,whichmadehimworld-famous.,5.他常提出些不同寻常的计划。你在加入之前要慎重对待。(putforward;becautiousto;joinin),Heoftenputsforwardunusualplans.Sobecautiousaboutthembeforeyoudecidetojoinin.,6.谁是第一个反对“地心说”的人?(reject;universe),Whowasthefirstpersontorejecttheideathattheearthwasthecentreoftheuniverse?,7.虽然他的写作没什么意思,但弗雷德还是确信自己的作文会得高分。(makesense;positive),Althoughhiswritingdoesntmakesense,Fredispositivethathiscompositionwillscoreahighmark.,1Chooseappropriateverbstocompletethefollowingsentences,usingthepastparticiple.Explaintheuseofthepastparticipleineachsentence.,1.Theywere_toacceptmyidea.2.Illbe_tohearwhathehastosay.3.Themayorsaidthathewas_aboutthe_riseofthewaterlevelintheriverbed.,prepared,interested,worried,continued,4.Recently_soldiersarehelpingtotakethevictimstosafeareasfromtheflood.5.Mostofthenewspaperseemstobe_withpopstars.6.Hewas_ofgoingaloneintotheemptyhouse.,arrived,concerned,frightened,2Rewritethesesentencesasonesentenceusingthepastparticipleastheattributeorpredicative.,1.Ifoundthisplateonthefloor.Theplatewasbrokeninpieces.Ifoundthisbrokenplateonthefloor.,2.Isawatall,darkandhandsomeman.HisnameisXiaoMing.Isawatall,darkandhandsomemancalledXiaoMing.,3.Ilookedatthatmodernabstract(抽象)painting.Itwascoloredinyellowsandgreens.Ilookedatthatmodernabstractpaintingcoloredinyellowsandgreens.,4.YesterdayIgottheanswertomyquestion.ItwastheoneIexpected.YesterdayIgottheexpectedanswertomyquestion.,5.Sheisoneofmydevotedfriends.Sheisdevotedtomyinterests.Sheismyfrienddevotedtomyinterests.,6.OnthedoorstepIfoundalotofbottles.Theyweremarkedingreenink.OnthedoorstepIfoundalotofbottlesmarkedingreenink.,7.Wesawmanywindowsinthatroom.Theywereallcracked.Wesawmanycrackedwindowsinthatroom.,analyse(分析),pure(纯的),foundations(基础),symbol(符号),(圆周率);sin(正弦),cosin(余弦),geometry(几何),calculus(微积分),mechanics(力学),practical(实用的),topology(拓扑学),1Beforelistening,makealistofallthegreatmathematiciansthatyouknowoforhavelearnedabout.Whatdoyouknowoftheirachievements?,2JohnSmithisdiscussingwithZhaoYanghisresearchintothelifeandworkofamathematiciancalledLeonhardEuler(17071783).BeforeyoulistentoParts1and2onthetapereadthewordsbelowandlearntopronouncethemcorrectly.,puresymbolsinecosinetopologyanglediagram,3ListentoPart1againandtickthewordsbelowthatEulerintroducedintomathematics.,puresymbolsinecosinetopologyanglediagram,4ListentoPart2againandfillinthechartbelow.,topology,1introducedmanynewsymbolsintomaths2wrotemorebooksthananyonebeforeorsince3discoveredanewbranchofmathematics,sin,cosin,revisedandanalysedallmathsofhisday,topology,introducedalotofsymbolsintomaths;wrotemorebooksthananyonebefore,AMATHEMATICIANSPROBLEMJohnSmith(JS)istalkingtoZhaoYang(ZY)aboutamathematicianwhointerestshim.,Listeningtext,JS:DoyouknowthatwevebeenstudyingEulerinmaths?ZY:Whoishe?Iveneverheardofhim.JS:Well,hewasafamousmathematicianintheeighteenthcentury.Herevisedallthepuremathematicsthatwasknowninhisday.,ZY:Thatprobablywasntverymuch.JS:Yourewrongthere.Hewrotemorethananyothermathematicianbeforeorsince.ZY:Really!Well,whatdidhedo?JS:Heintroducedalotofsymbolsintomathematicssuchaspiandthetermssinandcosin.,ZY:Wow!JS:Andhedidhalfofthisworkwhenhewasblind.ZY:Howdidhedothat?JS:Hetoldhisideastosomeoneelsewhowrotethemdown.,Part2ZY:Whatwerehisachievements?JS:Heintroduceanewbranchofmathematicscalledtopology.Ithelpsyouunderstandthingsbyusingdiagrams.Thesubwaymapisagoodexample.,Itdoesnottellyoudistancesbutitshowshowstationsconnecttogether.ZY:Howdidhestarttopology?JS:Well,in1735hewasinspiredbyaprobleminthecityofKonigsbergwherehelived.,Lookatthemapinyourbook.Konigsberghadariverrunningthroughit.Thecentreisanisland.Astheriverpassestheisland,itbreaksintotwoparts.Sevenbridgeswerebuiltovertheriver.Eulerwonderedifyoucouldwalkaroundthecitysothatyoucrosseachbridgeonlyonce.,ZY:Letmetrythat.Itsoundsquitesimpletome.JS:Try,butitsnotaseasyasitlooks.,Readingtask,FINDINGTHESOLUTION,Topology-Eulerpath,Tryyourbesttogooverthewholepointsofeachpicturewithoutliftingyourpencilfromthepaperorgoingoveranylinetwice.,A,A,D,D,B,B,C,C,WhatsEulerspuzzle?Konigsbergisanislandandthereisariverbreakinghereintotwoparts.,“SevenBridgesofKonigsberg”andthefamous“Eulerpath”.,Peoplewonderediftheycouldwalkaroundthecitybycrossingthesevenbridgeswithoutgoingoveranyofthemtwiceorgoingbackonhimself,butEulerfoundhecouldntcrossallthesevenones.ThisisEulerspuzzle.,Thefirststageinhisresearchistofindtheproblemthathecouldcrosssixofthebridgeswithoutgoingoveranyofthemtwiceorgoingbackonhimself,buthecouldntcrossallseven.,HowdidEulerprepareforhisresearch?,Thesecondstageistothinkofamethod:Hedrewamapanduseddotsandlinestosimplifyhisanalysis.Tryingandobservingoverandoveragain,hefoundageneralrule.,Itistopology.Eulerstheoryiscalled“TheEulerpath”,whichisexpressedlikethis:Ifafigurehasmorethantwooddpoints,youcantgooveritwithoutliftingyourpencilfromthepageorgoingoveralinetwice.SothegeneralrulethatEulerfoundistheevenpointsandtheoddpoints.,Whatarethetheories?,ConclusionEulerstheory(一笔画)可以一笔画只有两种情况:1.没有奇数顶点。2.只有两个奇数顶点。同学们如果对此类问题感兴趣,可登录:http:/www.e-,Readthetextandfindouttheanswerstothefollowingquestions.HowdidEulerfindaproblem?Whatsthegeneralruletothepuzzle?WhatbranchofmathematicsdidEulerstart?,WhenhewalkedaroundthetownandoverthebridgesofKonigsberg,hewassurprisedtofindthathecouldcrosssixofthebridgeswithoutgoingoveranyofthemtwiceorgoingbackonhimself,buthecouldntcrossallseven.,HowdidEulerfindaproblem?,Whatsthegeneralruletothepuzzle?,WhatbranchofmathematicsdidEulerstart?,Ifafigurehasmorethantwooddpoints,youcantgooveritwithoutliftingyourpencilfromthepageorgoingoveralinetwice.,Hestartedawholenewbranchofmathematicscalled“topology”.,Fillinthechartafterreadingthetext.,Byturningthemapintoadiagram.,Onewhichhasanoddnumberoflinesgoingtoit.,Four,Two,Ifafigurehasmorethantwooddpoints,youcannotgooveritwithoutliftingyourpencilfromthepageorwithoutgoingoveralinetwice.,Yes,Lookatthefollowingpictures.Checktoseeifyouarerightbyusingapenciltogoo
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