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已知α∈(0,),2sin2α=cos2α+1,则sinα=( )
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高三下学期数学《》真题及答案
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已知tanα=3求下列各式的值122sin2α-3sinαcosα-1.
已知sinα+2cosα=0则sin2α+cos2α=.
下列公式是正确的
sin 2α+cos2α=1
sin 2α-cos2α=1
sin 2α+cos2α=-1
sin 2α-cos2α=-1
已知fx=x2+sinθ﹣cosθx+sinθθ∈R.的图象关于y轴对称则sin2θ+cos2θ的值
2
1
下列公式是正确的
sin 2α= 2sin α cos α
sin 2α= cos2α-sin 2α
sin 2α= 21(1+ cos2 α)
sin 2α= 21(1- cos2 α)
已知A.cosαsinαBcosβsinβ且|AB|=21求cosα-β的值;2设α∈0π/2β∈-
已知α为第四象限角且cosα﹣|sinα﹣cosα|=﹣求tanαsin2αcos2α的值.
若α∈0π且cos2α=sin+α则sin2α的值为.
已知α为第二象限角sinα+cosα=则cos2α=________.
已知sinα=+cosα且α∈0则sin2α=cos2α=.
要证明sin4θ-cos4θ=2sin2θ-1过程为sin4θ-cos4θ=sin2θ+cos2θs
分析法
反证法
综合法
间接证明法
下列公式是正确的
sin2 α= 2sin α? cos α
sin2 α= 21(1- cos2 α)
sin2 α= 21(1+ cos2 α)
sin2 α= 21sin αcosα
已知tanα=2求下列代数式的值.2sin2α+sinαcosα+cos2α.
设θ∈02π点P.sinθcos2θ在第三象限则角θ的范围是.
比较大小正确的是
sin(1.5)>sin3>cos2
sin(1.5)<sin3<cos2
sin3<sin(1.5)<cos2
sin3<cos2<sin(1.5)
已知sinα+2cosα=0则2sinαcosα-cos2α的值是________.
已知α∈02sin2α=cos2α+1则sinα=
已知tanα=2求下列各式的值.122sin2α+3sinαcosα-5cos2α.
对于任意的实数αβ下列式子不成立的是
2sin
2
α=1﹣cos2α
cos(α+β)=cosαcosβ+sinαsinβ
cos(α﹣β)=cos(β﹣α)
sin(α﹣β)=sinαcosβ﹣cosαsinβ
已知向量a=cosαsinα向量b=cosβsinβ|a-b|=2根号5/51.求cosα-β的值2
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A90﹣year﹣oldhasbeenawardedWomanOfTheYearfor1beingbeBritain'soldestfull﹣timeemployee﹣stillworking40hoursaweek.NowIreneAstburyworksfrom9amto5pmdailyatthepetshopinMacclesfield2whichsheopenedwithherlatehusbandLes.Heryearsofhardworkhave3finallyfinalbeenacknowledgedafteracustomernominated提名hertobeCheshire'sWomanOfTheYear. PickingupherLifetimeAchievementawardproudIrene4declareddeclareshehadnoplans5toretireretirefromher36﹣year﹣oldbusiness.IrenesaidIdon'tseeanyreasontogiveupwork.IlovecominghereandseeingmyfamilyandallthefriendsI6havemademakeovertheyears.IworknotbecauseIhaveto7butbecauseIwantto. GranddaughterGayleParks31﹣whoworksalongsideherinthefamilybusiness﹣saiditremainedunknownastowhonominatedIrenefortheaward.ShesaidWedon'thaveanyideawhoputgrandmaforward.Whenwegotacall8sayingsayshewasshort﹣listedwethoughtitwas9ajoke.Butthenwegotanofficialletterandwewereblownaway.Wearesoproudofher.It's10wonderfulwonder.
已知集合A={x|x>﹣1}B={x|x<2}则A∩B=
AfterretirementMichaelKennedycouldhavechosentotakewalksaroundhisseasidehome.Insteadtheformermechanicalengineerengagedhimselfinthetoughesttaskofhislife﹣keepingthethunderingwavesoftheNorfolkcoast. The73﹣year﹣oldhasspentthepast14yearsbuildinghisownseawallatHunstantonpilinguprockspickedfromthesandybeachtoslowtheerosion侵蚀ofthesoftlimestone石灰岩andchalkcliffs.It'sestimatedthatMichaelhasshifted200tonsofstoneinthelast14years. It'sareallabouroflovebecauseIcomedownherewhatevertheweatherinspringsummerautumnandwintersaidthedivorcedfatheroftwo.ItkeepsmefitandIloveit. MrKennedymovedtotheareaafterretiringfromtheLondonUnderground.NicknamedFredFlintstonebylocalshetriestomoveatleast40poundsofrocksintwo﹣hoursessionswhichhefinishesby2pm. Everythinghecollectsisplacedintopilesatthefootofthecliffs.Largerrocksgoatthebottomtoprovidethemainlineofdefenceandsmalleronesareplacedatthetop.Healsopicksuprubbishandprideshimselfonhavingcreatedaspotlessstone﹣freesandybeachforholidaymakerstoenjoy. Theworkgoesonsixdaysaweek.SaturdaysarehisdayoffsothattheChelseafanaticcanwatchfootballandothersports.Howevertherearesignsthatheisbecomingavictimofhisownsuccessasthenumberofstoneshasdwindledsignificantlyinrecentmonths. It'sconfusingMrKennedysaid.Usuallyeveryyearthestonesjustcomeinwiththeseabutthisyearwehaven'thadany.HeaddedIhopetostillbedoingitwhenI'm100butperhapsjustfourdaysaweekinsteadofsix. TownmayorPeterMallamsaidMrKennedyhadbecomequitealocallegend.It'sfascinating.Everyoneknowsoftheoldguywhocollectsthestones.He'sdoneasterlingeffort. 1WhatdoweknowabouttheseawallbuiltbyMichaelKennedy? A.Itwasconstructedwiththehelpofthelocals. B.Theconstructionworkbeganinhisseventies. C.Itwasmadeof40poundsofrocksaltogether. D.Itwasbuilttoprotectthelimestoneandchalkcliffs. 2TheauthorofthispassageusesthewordvictimParagraph6inanway. A.humorous B.admiring C.sympathetic D.ironic 3TheunderlinedworddwindledinParagraph6canbereplacedby. A.shortened B.decreased C.multiplied D.lengthened 4Whatistheauthor'spurposeinwritingthetext? A.Todescribeauniqueseawall. B.Tointroducealocallegend. C.Torecommendaretirementlifestyle. D.Tocallonthepublictobuildmoreseawalls.
如图长方体ABCD﹣A1B1C1D1的底面ABCD是正方形点E在棱AA1上BE⊥EC1. 1证明BE⊥平面EB1C1 2若AE=A1EAB=3求四棱锥E﹣BB1C1C的体积.
阅读下面短文根据所给情节进行续写使之构成一个完整的故事.WhenIarrivedat6a.m.inthelargehospitalkitchenRosewasalreadycheckingnametagsonthetrays托盘.HiI'mJanet.'ItriedtosoundcheerfulalthoughIalreadyknewRose'sreputationforbeingimpossibletoworkwith.'I'mscheduledtoworkwithyouthisweek.'Rosestoppedwhatshewasdoingandpeeredoverherreadingglasses.Icouldtellfromherexpressionshewasn'tpleasedtosecastudentworker.'Whatdoyouwantmetodo?Startthecoffee?'Iasked.Rosecoldlynoddedandwentbacktocheckingnametags.Ifilledthe40﹣cuppotwithwaterandbeganmakingthecoffeewhenRoseyelled'That'snotthewaytomakecoffee.'Shesteppedinandtookover.NothingIdidpleasedher.Allmorninghereagleeyesmissednothingandhersharpwordshurt.TotallyexhaustedItrudgedthesixblockshomelatethatJuneafternoon.AsathirdyearuniversitystudentworkingmywaythroughschoolIhadneverbeforemetanyonelikeRose.FightingbacktearsIwrestledwithmydilemmaaloneinmyroom.'WhatshallIdo?'Theanswercaughtmecompletelybysurprise.IneededtoloveRose.WorkingwithRosethenextmorningIignoredthehurtfulremarksthrowninmydirectionanddidthingsRose'swayasmuchaspossible.AsIworkedIsilentlybegantosurroundRosewithawarmblanketoflove.Overthenextfewdaysanamazingthingbegantohappen.MyfocusshiftedfromwhatshewasdoingtomeandIstartedseeingRoseasthehurtingpersonshewas.Thenhericytensionbegantomeltaway.Throughouttherestofthesummerwehadnumerousopportunitiestoworktogether.Eachtimesheseemedtrulyhappytoseeme.Herbitternessgavewayasshestartedopeningup.AsIworkedwiththislonelywomanIlistenedtohersomethingnooneelsehaddone.Ilearnedthatshewasburdenedbyelderlyparentswhoneededhercareandherownhealthproblems.ThedaysslippedbyquicklyasIfinishedthelastseveralweeksofmysummerjob.Isoonwouldbereturningasafull﹣timeuniversitystudentandsaygoodbyetoRose.注意1.所续写短文的词数应为150左右2.应使用5个以上短文中标有下划线的关键词语3.续写部分分为两段每段的开头语已为你写好4.续写完成后请用下划线标出你所使用的关键词语.Paragraph1OnedaywhileIwasworkingaloneinoneofthehospitalkitchensRoseenteredtheroom.Paragraph2AlthoughIneversawRoseagainIstillrememberhervividly.
Neitherstyleofthinkingisbetterorworsethantheotherthey'rejustdifferentasProfessorAnkushChopraexplains.Tobeagreatartistmusicianorbig﹣picturethinkerholisticthinkingisimportant﹣it'saboutcontextandintuition直觉isimportant.Manycareerslikethoseinscienceorlawrewardanalyticthinkingwhichlooksatpartsandunitsandisspecificandlogical.Ofcoursethemostsuccessfulpeoplewillbeabletodobothkindsofthinkingthoughgenerallyholisticthinkinglinkedtocreativityismoredifficulttoteachthananalyticthinking. Sothosepeoplewhoareanalyticthinkerswillseeapriceof$1.99bylookingatthesinglenumbersandwillprioritizethefirstnumberwhenitcomestoprice.Holisticthinkerstendtoviewallpricenumbersasawholeandarelesslikelytobeaffectedbythenine﹣endingpriceeffectLingjiangLoraTuPh.D.professorofmarketingatBaylorandastudy'sleadauthortoldPhys.org. Howeverthatthetypeofthinkingallowsholisticthinkerstoseethewholeratherthanthepartsgoesoutthewindowwhenthey'restressedordistracted分心的. Ourfindingssuggestthatregardlessofconsumers'thinkingstylenine﹣endingpricesaremostlikelytobeeffectiveinsituationsthatoveruseconsumers'resourcessuchaswhenshoppersaretime﹣pressuredatthecheckoutcounterordistractedbybackgroundmusicoroccupiedwithaninteractiveproductdemonstrationTusaid. Thisstudywasdonewiththeideathatmarketersshouldknowaboutthesedifferencesinthinkingstyleandkeeptheminmindwhenthey'repricingthingsfordifferenttypesofpeople.Butanyonewhobuysthingscanbenefittoobyfiguringoutwhatkindofthinkeryouareandthenkeepingthatinmindwhenthesignsshowsalewithaloudnoise!﹣andremindingyourselfthatnobodymakesthebestdecisionswhenthey'redistracted. 1Whichofthefollowingcanbethebestexampleofholisticthinking? A.OnlyifthewholethingmakessensecanJackconcentrateondetails. B.InAmericanshopsyoucanfindmanythingswithnine﹣endingprices. C.Jackkeptonworkingononethingandfinallyachievedgreatsuccess. D.Understandingeachparagraphleadstounderstandingthewholepassage. 2TheunderlinedwordprioritizeinPara.2mostprobablymeans. A.takenonoticeof… B.treat…equally C.thinkof…thetrickiest D.consider…themostimportant 3Accordingtothepassageaconsumershouldrememberthat. A.thenine﹣endingpricescanequallyaffectanytypeofconsumer B.pricingthingsfordifferenttypesofpeoplebenefitscustomers C.backgroundmusicisn'talwaystocreateapleasantatmosphere D.it'simpossibletoaffecthimevenifhe'sdistractedorstressed 4Fromthepassageweknowthat. A.differentthinkingstylescreatedifferentpricingsystems B.preferenceofpricingsystemcanindicatethinkingstyle C.holisticthinkingsomewhatoutweighsanalyticthinking D.bothstylesofthinkingcannotbebeneficialtoonecareer
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若变量xy满足约束条件则z=3x﹣y的最大值是.
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We'veallhadcaseswherewe'vewaitedjustabittoolongtopayanelectricbillorspeedingticket.ButonemanfromCaliforniabyreasonableassumptionwhogoesbyDaverecentlytookprocrastination拖延onestepfurtherbypayingaparkingticketalmostahalf﹣centuryafteritwasgiven. InDecember2018theMinersvillePoliceDepartmentinPennsylvaniareceivedaletterinthemail.WhoeverwrotetheletterdecideditwasbesttokeephisnamesomewhatunknownsoheputthereturnaddressasWaywardRoadAnytownCaliforniaunderthenameFeelingguilty. Whentheofficersopenedtheenvelopetheyfoundabriefletteralongwitha$5billandaparkingticketdatingallthewaybackto1974.ThenotereadDearPDI'vebeencarryingthisticketaroundfor40plusyearsalwaysintendingtopay.ForgivemeifIdon'tgiveyoumyinfo.WithrespectDave. Eventhoughtheinitialparkingticketwasonlyfor$2Davemusthavefeltawfullyguiltybecauseheleft150percentor$3ininterest. MichaelCombsthePoliceChiefoftheMinersvillePoliceDepartmentstatedinaninterviewthatthesameticketwouldcostabout$20ifitwasgiventoday.Combswentontosharethattheoriginalticketfrom1974wasgiventoavehiclethathadanOhiolicenseplate. Becausetherewasnosystemfortrackingticketsgiventoout﹣of﹣statecarsbackthenDavecouldhavegottenawaywithneverpayingthe$2fine.Butapparentlyguiltgotthebestofhimandhedecidedtofinallycoughupthemoneymorethan40yearspastitsduedate. 1HowmuchdoweknowaboutDave? A.HelivesinWaywardRoadAnytownCalifornia. B.Thepolicearetryingtofindoutmoreabouthim. C.HiscarprobablycamefromOhioatthattime. D.Daveisofcoursetheman'srealnameindeed. 2Whydidn'tDavepayfortheparkingticketuntilrecently? A.Hecompletelyforgotaboutitinthepast44years. B.Hedidn'tfindituntilalmosthalfacenturylater. C.Hefailedtofindoutwhoheshouldpaythemoneyto. D.Hedidn'tpayforitjustbecauseofprocrastination. 3WhatdroveDavetopayfortheparkingticketatlast? A.Astrongsenseofguilty. B.Fearofbeingtrackedbythepolice. C.Worryaboutbeingfinedmore. D.Suddenchangeofhisfinancialsituation. 4Whichofthefollowingcanbethebesttitle? A.PoliceChiefoftheMinersvillePoliceDepartmentSharesaStory B.MysteriousProcrastinatorFinallyPays44﹣Year﹣OldParkingTicket C.UnusualLetterComesfromWaywardRoadAnytownCalifornia D.ParkingTicketCarriedAroundforAlmostHalfaCenturyfromOhio
若抛物线y2=2pxp>0的焦点是椭圆+=1的一个焦点则p=
ChinaisknownastheKingdomofBamboo.Morethan400speciesofbambooonethirdofallknownspeciesintheworldgrowinChina.China1leadtheworldintheamountofareaplantedwithbamboothenumberofbambootreesandtheamountofbamboowood2produceeveryyear. Theoldestbamboo3articleinChinawereunearthedfromtheremainsofaprimitivesocietythatexistedsome7000yearsagoin4isnowHemuduYuyaoCountyZhejiangProvince.AsearlyastheShangDynastyChinesepeopleusedthebambooformakingweaponssuchasbowsandarrows.Beforepaper5inventstripsofbamboowerethemostimportantwritingmediummorewidelyusedthansilk6theywerecheaperresistanttocorrosion腐蚀andmoreabundant.BamboohasthusplayedanimportantpartinthespreadanddevelopmentoftraditionalChineseculture. Bamboowas7closeconnectedwiththedailylivesofpeopleinancientChina.SuDongpoaliterarygiantoftheSongDynastysaidthatpeoplecouldnotlive8bamboo andpeopleofthetimeusedbamboo9makepaperhatsshoesandsoon.Atthattimeastodaybambooshootswereeatenasapopulardishbecauseof10theycrispnessandfreshsweettaste.Bambooshootsalsocontainvitaminssugarfatandprotein.
Hereallydidlooklikeatouristwithacameraaroundhisneckandabottleofsunscreenstickingoutofhisbag. Thefatmansatontheterrace草坪drinkinglemonadealittlebiteachtimeand1tolookatasmoothandshinycruisebrochure.Hissunglasses2hiseyesbutIknewhewasn'tlookingatthebrochurehehadn'tturneda3forthelasttenminutes. AsIbroughthimwhathehadorderedhecoughedupathankyouandlookedatme4.Itriednottostareatthetinyscaracrosshislefteyebrow. Iwalkedbackinsidewithmy5tray托盘shakingmyhead.Helooked6butIcouldn'tquiteplacehim. Thenit7me.Thecaraccident.The8strangerwhohelpedmeoutofmysmashedcar9beforeitexploded.I10backtohistable. Hewasgone. Imovedhissaucerandfoundhistipalongwitha11 Iamdeeply12toyou.ThenightofyourcaraccidentIwasonmywayto13ajewelrystore.Savingyour14broughtthingsbackinperspective看法.Inowliveanhonestlifethankstoyou.Godblessyou!Mr.D. Itrembled.ThenightofmycaraccidentIwas15foraninterviewinashadydanceclub.Seeinghumankindnessthroughhis16gestureturnedmylifearoundandbrought17backintomylife. I18thetipheleft.Amongtheone﹣dollarnoteswasa100﹣dollarnotewithapenmark19InGodWeTrustwhichfirstappearedonpapermoneyin1957. Isaidasilent20forhimandgotbacktoworksmiling. 1A.asking B.pretending C.refusing D.burning 2A.masked B.protected C.beautified D.comforted 3A.picture B.bottle C.page D.dish 4A.shyly B.worriedly C.fixedly D.briefly 5A.empty B.clean C.heavy D.new 6A.kind B.familiar C.sad D.puzzled 7A.attracted B.failed C.moved D.hit 8A.funny B.wealthy C.mysterious D.hungry 9A.even B.perhaps C.just D.long 10A.rushed B.inched C.struggled D.danced 11A.book B.card C.notice D.Poster 12A.committed B.attached C.guilty D.grateful 13A.rob B.visit C.help D.manage 14A.money B.face C.life D.Time 15A.waiting B.longing C.heading D.Preparing 16A.friendly B.heroic C.traditional D.Exciting 17A.happiness B.glory C.honesty D.faith 18A.dropped B.doubted C.weighed D.unfolded 19A.colouring B.underlining C.enlarging D.deleting 20A.prayer B.hello C.congratulation D.apology
Rockmusicconsistsofmanydifferentstyles.Eventhoughthereisacommonspiritamongallmusicgroupstheymakeverydifferentmusic.1AtthattimetheBeatlesenteredtheworldofmusicfromLiverpool. AftertheyweregivenaninvitationtoappearliveonBBCtheBeatlesquicklybecamefamousinBritainwithnationwidetours.Bymid﹣1963theBeatleshadbeenextremelypopularinEngland.2Theyheldlargeconcertsandperformedatclubs.TheybecamethehottestthingonthepopmusicsceneinEngland.Theybeganasamodestlysuccessfulmusiciangroupandendedtheyearasshowbusinesslegends传说.JohnLennonandPaulMcCartneywerenamedcomposersoftheyear. 3TheywerenotsurehowtheAmericanswouldreacttothenewtypeofmusic.BeatlemaniahitNewYorkonFebruary71964.Hundredsoffansjammedtheairporttogreetthem.4Theconcertwasbroadcastliveandattractedthelargestonenightaudienceinthehistoryoftelevisionuptothattime.TheBeatlesweredescribedasaBritishinvasion入侵bylocalandnationwidenewspapersatthattime.TheirvictoryinAmericawasstillrememberedasamajorturningpointinthehistoryofrockandroll.ThankstotheBeatlesalotofopportunitieswereopeneduptonewfacesonthemarket.5 A.TheydecidedonatourtotheUnitedStatesin1964. B.Eventheirhairstylesbecamemajortrendsatthattime. C.Rockmusicdevelopedinthe1950sandtheearly1960s. D.Howevertheirsongschangedthelivesofgenerationstocome. E.ManyrockbandswereabletofollowinthefootstepsoftheBeatles. F.TheyappearedinthefilmsAHardDay'sNight1964andHelp!1965. G.TheyperformedtheirfirstconcertinAmericaatCBStelevision's53rdstreetstudio.
假定你是校排球队队长李华.请写封邮件告知你的队友Chris球队近期将参加比赛内容包括 1.比赛信息 2.赛前准备 3.表达期待. 注意 1.词数100左右 2.可以适当增加细节以使行文连贯.
LearntoManageYourTimeinCollege Acommonviewbothamongandofcollegestudentsisthattheyarealwaysshortonmoney.Whilethismaybetruemanycollegestudentsarealsoalwaysrunningshortonsomethingelsetime.1Hereareafewthingstoconsider Manageyouracademictime.2Consequentlyyouracademicworkshouldalwayscomefirstwhenitcomestoarrangingyourtimeinorderofimportance.Whenlookingatyourschedulefortheweekfigureoutwhatyouracademiccommitmentslooklike.Whattimedoyouhaveclasses?Howmuchhomeworkdoyouhavetodo?Whatassignmentsaredue?Whendoyouhavemajorexamsorquizzes? Manageyourpersonaltime.Itsanunrealisticexpectationtothinkthatyoucanstudygotoclassandworkalldayeveryday.3Makesuretoallowyourselftimetogotosomethingfunintheyardattendameetingforyourfavoriteclubandjusthangoutforanhourorsoatnightwithfriendsoverdinner.Doingthingsthatmakeyourpersonaltimemoreenjoyableandnottotallyfocusedonschool?canactuallyimproveyourproductivitywhenworkingonprojectslater. Keepyourhealthinmind.Whenpeople'sschedulesaretightoneofthefirstthingstogoissleep.Whileitmaybecommonamongcollegestudentsalackofsleepismorehurtfulthanyoumightthink.Itcanthroweverythingintodisorderyourmentalhealthyourphysicalhealthyourstresslevelandofcourseyourschedule.4 Useyourtechnology.Nothinghelpsacollegestudentstayorganizedmorethanagoodcalendar!SomestudentsusethecalendarsontheirphonesothersusethingslikeGoogleCalendarothersstillusetheclassicpaper﹣calendarmodel.5Justchangeandtryagain. A.Tryyourbesttokeeparoutineonaregularbasis. B.Rememberthatyourbrainneedstohaveabreaktoo. C.Ifwhatyou'reusingisn'tworkingforyoudon'tgiveup. D.Howcanyoubalanceyourtimewhenthereneverseemstobeenoughofit? E.It'simportanttorememberwhyyou'reincollegeinthefirstplacetograduate. F.Makingalistandthencrossingitemsoffastheyarecompletedcanbesatisfying. G.Takemomentstoplanoutthetimeforaweekyourhomeworksocialtimeandsleep.
假定英语课上老师要求同桌之间交换修改作文请你修改你同桌写的以下作文.文中共有10处语言错误每句中最多有两处.错误仅涉及一个单词的增加删除或修改.增加在缺词处加一个漏字符号∧并在其下面写出该加的词.删除把多余的词用\划掉.修改在错的词下画一横线并在该词下面写出修改后的词. 注意1.每处错误及其修改均仅限一词 2.只允许修改10处多者从第11处起不计分. Iusedtothinkcooperatingwasteoftimebutonethingchangesmymind.Onedaythescientificteacheraskedustodosomeresearchesandhandedintheconclusion.ThattookmelotsoftimetodotheresearchbutIstillcouldn'tfinishedit.SoItriedtocooperatewithothers.Wesharedourresearchesandthenmadethecompletelyconclusionsoon. SoIthinkcooperatingnotonlysavesourtimesbutalsohelpsustopromotethecommunicationwithothers.Althoughintheworldtodayveryfewthingscanbesuccessfullydonebyjustonepersoncooperatingcanbenefitfrombothorallsides.
TheAmericanHeartAssociationAHAsaysthattoomanypeoplearespendingfartoomuchtimeonchairsandcouches.BasedonexistingevidencewefoundthatU.S.adultsaresedentaryforaboutsixtoeighthoursadaysaidDeborahRohmYoungchairofAHApanelthatwrotethenewadvisory. AccordingtotheAHAgrowingevidenceshowsthatonitsownexerciseisn'tenoughtocancelouttheunhealthyeffectsofsittingforalongtime.RegardlessofhowmuchphysicalactivitysomeonegetslongsedentarytimecouldnegativelyinfluencethehealthofyourheartandbloodvesselsYoungexplained. Theexactmechanismsbehindtheeffectaren'tyetclear.Therearemanyimportantfactorswedon'tunderstandaboutsedentarytimeyetYoungsaid.Shestressedthatthetypesofstudiesavailableidentifytrendsbutdon'tprovecauseandeffect. Wedon'thaveinformationabouthowmuchsedentarybehaviorisbadforhealth﹣thebestadviceatthistimeisto‘sitlessandmovemoresheadded. Howmuchmore?AccordingtotheAHApeopleshouldtrytogetatleast30minutesofmoderatetovigorous剧烈的exerciseadaytoreachtherecommended150minutesofmoderateexerciseor75minutesofvigorousexerciseaweekThat'shealthierthantryingtocramtheirweeklyexerciseintooneortwodaysaccordingtothestatement. TherealrisksimplycomesdowntotheamountwesitwithouttherebeingatruemedicineormethodtocontroltheharmfuleffectssaidSteinbaumapreventivespecialistinheartdisease. Stillsocietyhasevolvedtoencouragesittingsheadded. Ourliveshavebecomefocusedaroundactivitiesrequiringustobestill﹣whetheritbetransportationourcomputersorthetelevisionorcomputerinourleisuretimeSteinbaumsaid.Sociologicallyinsteadofbeingactivetobeproductiveortohaveenjoymentourproductivityandfunoftenrequiresminimalphysicalactivities. 1WhatisthemainpurposeofthenewadvisorydeliveredbyAHA? A.Toadvisepeopletositlessandexercisemore. B.Toexplorethecauseandeffectofinactivebehavior. C.Toanalyzethelinkbetweenhearthealthandexercise. D.Toshowthegeneralsocialtrendofencouragingsilting. 2WhichofthefollowingwouldDeborahRohmYoungmostprobablyagreewith? A.Doingexerciseisofnobenefittothosecouchpotatoes. B.Sittingtoomuchisacontributingfactortoheartdiseases. C.Theexactcausebehindtheeffectoflong﹣timesittingisapparent. D.Thevitalthingforhealthisthetotalamountofweeklyexerciseyoudo. 3AccordingtoSteinbaumtheincreaseofsittingtimeis. A.abasicaspectofpromotingthequalityoflife B.arealriskthatcanberemovedbyvigorousexercise C.anunavoidableconsequenceofsocialdevelopment D.abigchangeinmodempeople'sconceptofhealth
PreparetoSucceed Peoplearealwaysthinkingaboutsuccess.1Thisthoughtisn'tonethatbringsyoucloserhoweverbecausethinkingdreamingorwishingjustdoesn'tgetitdone. 2YoumayaskWhyispreparationnecessary?Theeasieranswertothisquestionistosaythatifyouarenotreadytomoveforwardthenyoumayjustaswellkeepdoingwhatyouhavealwaysdone. Successdoesn'tcomeeasy.3Successrequiresyoutobepreparedtosacrificeleisuretimeortimespentwatchingtelevisionorgoingoutwithfriendsateveryopportunity.Successmeansyouarepreparedtodowhateverittakestoconstantlymovetheyardsticksforwarddayafterday. HereisjustonequotefromCalvinCoolidgethe30thpresidentoftheUnitedStatesthatexpresseswhatpreparationisabout4Itisratherthevitalnecessityofactiontodaytoensureourstrengthtomorrow.Thisquotecanbeinterpretedtomeanthatyoumayhavestrengthorconfidencetostartonyourwayrightnowtomovetowardyourfinalgoal.Howeveritisalsocriticalthatcommittedactioneachdaybuildstohelpyoukeepgoingwhenobstaclesariseorwhenyoujustdon'tfeellikeyouhavetheinterestorenergytostayfocused. 5Thatshowsyouwhatstepsoractionstotakewhentotakethemorwhattodoifissuesobstaclesorotherlifeissuesgetintheway. ThebottomlineisactuallyquiteclearYouareeitherwillingableanddeterminedtoachievewhatyouwantoryouaresimplydreamingorwishingthatsuccessfindsyou. A.Therearenoshortcuts. B.Successisgettingwhatyouwant. C.Ourrealproblemisnotourstrengthtoday. D.Preparationalsomeansthatyouhaveaplanoragoal. E.Thebestpreparationfortomorrowisdoingyourbesttoday. F.Oneofthemostimportantpartsofpersonalorprofessionalsuccessispreparation. G.Itisusuallyintheirbrainsastheygoaboutdailyroutineslookingforsomethingbetter.
Thereareseveralreasonswhyschooluniformsaregoodidea.Firstofalluniformshelptheschoollooksmart.Thestudentsfeelthattheybelongtoaparticulargroup.Wheneverypupilintheschoolwearstheuniformnobody1havetoworryaboutfashion时尚.Everybodywears2samestyleofclothes.Uniformscanbeusefulinunexpectedways.AschoolinIrelandhasintroducedaninterestingnewuniform.Ontheedgeofthejacketthereisapieceofcloth3givesofflightinthedark.Whenthechildrenarewalkingor4cycletoschoolondarkmorningscardriverscan5easyseethem. Butcanuniformshelpimproveschoolstandards?Theanswer6thisquestionisnotclear.OnestudyinAmericafoundthatstudents'grades7improvealittleaftertheschoolintroduceduniforms.Butsomestudentsdidn'twant8weartheuniform.OtherAmericanstudiesshowedno9connectbetweenuniformsandschoolperformance. Schooluniformsare10traditioninBritainbutsomeschoolsarestartingtogetridofthem.Someverygoodschoolsdon'thaveauniformpolicy.Howeveruniformsarestillpopular.Pupilsatabout90percentofBritishsecondaryschoolswearuniforms.
RecentlyresearcherswentthroughsomesurveyinformationaboutthehealthandhabitsofmenandwomeninScotland1hopetodeterminehowmuchexerciseisneededtokeeptheScots2feelingdepressed.Theansweramere20minutesaweekofanyphysicalexercisewhethersportswalkinggardening3evenhousecleaning.Theresearchersfoundthatmoreexercisebroughtmoremental﹣healthbenefits.Buttheiroverallconclusionwasthatbeingactivefor20minutesaweek4beenoughifyourgoalismentalhealth. Howmuchexerciseisenough?Thisisaquestiondifficulttoanswer5partbecausetheamountofexerciseneededdependsonthebenefitsyouhopetogain.Twentyminutesaweekofhousecleaningorother6activitymayaccordingtotheScottishstudyincreaseyoursatisfactionbutitcertainlywon'tdomuchforyourphysicalfitnessandisunlikely7reduceyourrisksfordiseases.Italsowon'thelpmuchwithweightloss. Interestinglytheydidnotfindthatexercisebeyondacertainpointwouldbringadditionalhealthbenefits.AccordingtothereportIt8estimatethatpeoplewhoarephysicallyactiveforaboutsevenhoursaweekhavea40percent9lowriskofdyingearlythanthose10areactiveforlessthan30minutesaweek.
阅读下面短文根据所给情节进行续写使之构成一个完整的故事.Bobbywasgettingcoldsittingoutinhisbackyardinthesnow.Bobbydidn'twearbootsorratherhedidn'townany.Thethinsneakersheworehadafewholesinthemandtheydidapoorjobofkeepingoutthecold.Bobbyhadbeeninhisbackyardforaboutanhouralready.Tryashemighthecouldnotcomeupwithanideaforhismother'sChristmasgift.Heshookhisheadashethought'Thisisuseless.EvenifIdocomeupwithanideaIdon'thaveanymoneyforagift.'WipingtearsfromhiseyesBobbystartedwalkingdowntothestreetwheretheshopswere.Itwasn'teasybeingsixwithoutafatherparticularlywhenheneededamantotalkto.Bobbywalkedfromshoptoshoplookingintoeachdecoratedwindow.Everythingseemedsobeautifulbutsooutofreach.ItwasstartingtogetdarkandBobbyreluctantlyturnedtowalkhomewhensuddenlyhiseyescaughttheglimmer激光ofthesettingsun'sraysreflectingonsomethingontheroadside.Hereacheddownanddiscoveredashinydime一角硬币.NeverbeforehasanyonefeltaswealthyasBobbydidatthatmoment.Aslieheldhisnewly﹣foundtreasurewarmthspreadthroughouthisentirebodyandhewalkedintothefirststore.Hisexcitementquicklyturnedcoldwhensalespersonaftersalespersontoldhimthathecouldnotbuyanythingwithonlyadime.Hesawaflowershopandwentinsidetowaitinline.WhentheshopowneraskedifhecouldhelphimBobbypresentedthedimeandaskedifhecouldbuyoneflowerforhismother'sChristmasgift.TheshopownerlookedatBobbyandhisonedimeoffering.ThenheputhishandonBobby'sshouldersaying'YoujustwaithereandI'llseewhatIcandoforyou.'AsBobbywaitedhelookedatthebeautifulflowersandeventhoughhewasaboyhecouldseewhymothersandgirlslovedflowers.注意1.所续写短文的词数应为150左右2.应使用5个以上短文中标有下划线的关键词语3.续写部分分为两段每段的开头语己为你写好4.续写完成后请用下划线标出你所使用的关键词语.Paragraph1Afewminuteslatertheshopownercameout.Paragraph2WiththebunchofrosesinhishandsBobbywalkedoutofthedoorandthenbrokeintoarun.
已知α∈02sin2α=cos2α+1则sinα=
Moneywithnostringsattached.It'snotsomethingyouseeeveryday.ButatUnionStationinLosAngeleslastmonthaboardwentupwithdollarbillsattachedtoitwithpinsandasignthatreadGiveWhatYouCanTakeWhatYouNeed. Peoplequicklycaughton.Andwhilemanytookdollarsmanyotherspinnedtheirowncashtotheboard.Peopleofallagesracesandsocio﹣economic社会经济的backgroundsgaveandtooksaidTylerBridgesofTheToolboxwhichcreatedtheproject.Weevenhadabrideinherweddingdresscomeuptotheboardandtakeafewdollars.Mostofthebillsontheboardweresinglesbutafewpeopleleftfivestensandeventwenties.Thevideoclip片段showsonemanwhohadfounda$20billpinningittotheboard. WhatIcansayforthefolksthatgavethemostisthattheywerefullofsmilesBridgessaid.There'sacertainfeelingthatgivingcandoforyouandthatwasapparentinthosethatgavethemost.MostpeoplewhotookdollarstookonlyafewbutBridgessaidaverysmallnumbertookasmuchastheycould. WhiletheclipmightlooklikepartofanewadcampaignBridgessaidtheonlygoalwastoshowgenerosityandsympathy.HeaddedthathehopespeopleinothercitiesmighttrysimilarprojectsandposttheirownvideosontheInternet. Afteralleveryonehasbaddaysandgooddayshesaid.Somedaysyouneedahelpinghandandsomedaysyoucanbetheonegivingthehelpinghand. 1Whatdoestheexpressionmoneywithnostringsattachedinparagraph1mean? A.Moneyspentwithouthesitation. B.Moneynotlegallymade. C.Moneyofferedwithoutconditions. D.Moneynottiedtogether. 2WhatdidBridgeswanttoshowbymentioningthebride? A.Womentendedtobemoresociable. B.Theactivityattractedvariouspeople. C.Economicproblemsweregettingworse. D.Youngcouplesneededfinancialassistance. 3WhydidBridgescarryouttheproject? A.Todoatestonpeople'smorals. B.Toraisemoneyforhiscompany. C.Toearnhimselfagoodreputation. D.Topromotekindnessandsympathy.
已知向量=23=32则|﹣|=
在“一带一路”知识测验后甲乙丙三人对成绩进行预测. 甲我的成绩比乙高. 乙丙的成绩比我和甲的都高. 丙我的成绩比乙高. 成绩公布后三人成绩互不相同且只有一个人预测正确那么三人按成绩由高到低的次序为
△ABC的内角ABC的对边分别为abc.已知bsinA+acosB=0则B=.
已知函数fx=x﹣1lnx﹣x﹣1.证明 1fx存在唯一的极值点 2fx=0有且仅有两个实根且两个实根互为倒数.
设αβ为两个平面则α∥β的充要条件是
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