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设 a → b → c → 是任意的非零向量则下列结论正确的是
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若 { a → b → c → } 为空间的一组基底则下列各项中能构成基底
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如图在正五边形 A B C D E 中若 A B ⃗ = a → B C ⃗
给出下列结论①若 a → ≠ 0 → a → ⋅ b → = 0 则 b
设 a → = A B ⃗ + C D ⃗ + B C ⃗
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设 a → b → 是两个非零向量.1若 | a → + b → | = | a
若 a → ≠ 0 → b → ≠ 0 → | a → | = | b →
已知三个向量 a → b → c → 不共面并且 p → = a → +
对于向量 a → b → c → 和实数 λ 下列说法中正确的是.
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已知三个向量 a ⃗ b ⃗ c ⃗ 不共面并且 p ⃗ = a ⃗ +
下列各式正确的是
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下列等式中错误的是
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设 a → b → c → 是任意的非零平面向量且它们相互不共线下列命题① a
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设 a → = A B ⃗ + C D ⃗ + B C ⃗
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设 a → = A B ⃗ + C D ⃗ + B C ⃗
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下列命题①若 a → ⋅ b → = 0 → 则 a → = 0 → 或 b
对任意向量 a → b → 下列关系式中不恒成立的是
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判断下列向量 a → 与 b → 不共线的是
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如图已知 O A ⃗ = a → O B ⃗ = b → O C
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Manysuperstitiouspeopleareafraidofblackcats.Theybelievethatblackeatshaveastrangepower.Ifablackcatcrossestheirpaththeythinktheywillhavebadluck. Blackeatshaven’talwayshadsuchabadreputation.LongagotheEgyptiansthoughtthatblackeatswereholyanimals.Theyevenworshippedthem.PashtwasanEgyptiangoddesswhohadawoman’sbodyandacat’shead.BecausetheEgyptianshadsomuchrespectforblackeatstheyoftenburiedthesacredcreatureswithgreatceremony.Mummiesofcatshaveoftenbeenfoundinancientcemeteryruins.Tokeepthecatscompanyaftertheydiedmiceweresometimesburiedbesidethem. Feelingsaboutblackeatshavealwaysbeenstrong.Peoplehavethoughttheywereeitherverygoodorverybad.ThepeopleofEuropeintheMiddleAgesbelievedblackeatsweretheevilfriendsofwitchesandtheDevil.Witchesweresaidtohavethepowertochangethemselvesintoblackcats.Peoplebelievedthatyoucouldnottellwhetherablackcatwasjustacatorwhetheritwasawitchdisguisingherselfassheplottedsomeevilscheme.Thebrainofablackeatwasthoughttobeamainingredientinwitch’sbrew. UnliketheirancestorsoftheMiddleAgesEnglishmentodayconsiderblackeatstobegoodluckcharms.Fishermen’swivesoftenkeepablackcataroundsothattheirhusbandswillbeprotectedwhentheyareoutatsea. PeopleofancientEgyptandEuropeansoftheMiddleAges
Aftertalkingtotheoldwomanforawhileherfearandtimidity
HaveyoueverheardofaflowerwhoseseedsarecarriedandspreadbyelephantsTherafflesiaarareblossomisveryunusual.FoundintherainforestsofSumatratherafflesiaistheworld’slargestflowermeasuringthreefeetindiameter! Thisgiantflowerisaparasite—itneedsanotherplanttoliveon.Itlacksthestructuresneededtosurvivealone.Therafflesiahasnostemorleaves.Itisallflower.Itattachesitselftotherootsofotherplantsandsuckstheirjuices.Theflower’sfavoritehomeistherootofthevinewhichgrowsaboveground. Therafflesiaseemstoburstrightoutoftheforestfloor.Itsblossomweighsfifteenpounds!Ithasthickspottedpetalsthatgiveoffarottensmell.Thecenterisaboutthesizeofahouseholdbucket.Afterarainitmayholduptotwelvepintsofwater! Aftertherafflesiadiesitbecomesapoolofthickliquidinwhichitsseedsfloat.Elephantswanderingthroughtheforeststepintothemushypoolandtheseedsgluethemselvestotheirfeet.Astheanimalsstompthroughtheforesttheirstickyfeetpickuptwigsandleaves.Theelephantstrytoridthemselvesofthestickymessinthesamewaypeopletrytogetbubblegumofftheirshoes.Theelephantsrubtheirfeetagainsttherootsofthevine.Innotimeseedsleftonthevinegrowintomoremonstrousflowers! Togiveusanideaofhowlargetherafflesiaistheauthoruses
Onlyoneanimalcanwalk200mileswithoutstoppingoncetorest.Itwouldtakeapersontwodaysandtwonightstowalkthisfarandonlyonemanhaseverdoneitwithoutstopping.WhatamazinganimalhassuchenduranceThecamel!Thecameliswellknownforsomethingelsetoo.Itcancrossanentiredesertwithoutasingledrinkofwater.Itsbodyisbuiltinaspecialwaytohelpitstorewaterandfood. Apersonhasjustonestomachbutacamelhasquiteafew.Withineachstomacharelayersandlayersofcells.Thesecellsareliketinywaterballoonsstoringliquidsuntilthecamelneedsthem.Whenthecameldrinkstheceilsgrowlargerandlarger.Forawholeweektheycankeeptheanimal’sthirstawaybysendingwatertoallpartsofitsbody. AnddidyoueverwonderwhythecamelhasahumpThehumpisastorageplaceforfat.Becauseithasthisstorageareathecameldoesnotneedtoeatveryoften.Whentheanimalneedsenergythelayersoffatserveasfueltokeepitgoingonthelonghotdaysintheburningsun. Thecamelhasoneothergiftthatmakesitwellsuitedtoaridregions.Thisgiftisitsamazingnose.Acamelcansmellawaterholefrommilesaway! Whenacamelmovesitswaysfromsidetosidelikeashiponawavyocean.Becauseofthisswayingmotionthecamelhasbeencalledthe"ShipoftheDesert./ Theauthorcomparesceilswithwaterballoonsinorderto
DearCassy Thanksforremindingmebye-mailthatyouwanttobaby-sitourchildren.Inspiteofthe21thatyouareonly12yearsoldmywifeandIwouldbe22toconsideryourapplicationifyoucanmeetafewmodest23: 1.Submitthreelettersfrom24whowillcertifythatyouhaveneverfailedtofollowdirectionsperfectlyinclassandneverfailedtohandinahomeworkassignment25. 2.Submitanotefromtwo26whowillcertifythatyouareinperfecthealthhaveneverbeensickandneverwillbesick. 3.Submitadocumentfromyourphysicaleducationteacherorteam27thatprovesthatyoucandoeachofthefollowing:Runtwomilesin28thannineminutesclimbagreasedropetoa29oftwentyfeetinthirtysecondswhilebalancingaglassofwateronyournoseandwalkinbarefeetoverhotcoalsandbrokenglasswithoutcomplaintor30. 4.Submitnotarizedlettersfromatleasttwomentalhealthprofessionals31thatyouhavenever32ajealousenviousorhostilethoughttowardsanylivingbeingorinanimateobject. 5.Playand33fiveexpertchessplayerswhileblindfoldedaftergoingwithoutsleepfor48hours. 6.Wait34fortwoyearswhilewehaveprivateinvestigators35thatallyourdocumentsareauthentic. Yourlovingandtrustingfriends TheSmiths 23
Manyteakettleswhistlewhenthestartstoboil.
RonaldMusokeisacollegestudentfromUganda.HeattendstheCollegeofMarininCalifornia.Recentlyhegotveryexcitedaboutthingshefoundinwastebaskets.WhatdidhefindHefoundoutdatedtextbooksthathadbeenthrownaway.Someofthebookshadsoldnewforonehundreddollars.Theoldtextbookshadbeeneitherdiscontinuedorreplacedbynewereditions. UgandaisaverypoorcountryinAfrica.WhenMusokewenttoschoolinUgandatherewereneverenoughbooks.Sometimesfivebooksweresharedwithonehundredfiftystudents.MusokelivedthroughtheUgandancivilwarandthelossoftwelvefamilymembersfromAIDS. WhyisMusokeexcitedaboutthediscardedtextbooksHewantstosendthemtoUgandasowomenhavethechancetogetaneducation.Thebookswillbeusedtopayforthewomen’seducation.MusokehopesthateducationwillhelplowerthenumberofdeathsfromAIDS.AlsothebookswillhelplowerilliteracyinUganda. OtherstudentsarehelpingMusokegathertextbooks.Studentsaregivinghimbooksandoverfourthousandbookshavebeencollected.Abusinesssponsorishelpingtopaythepostageforthebooks.Musokeandhisclassmatessortandpackthebooks. Ugandanswillbeeducatedwiththehelpofdonatedbooks.TheCollegeofMarinstudentshavebecomeconnectedwithanAfricannationfaraway.TheseclassmatesfromawealthycountyforexampleTanyaSchwedlerandherclassmateshavegainedgreaterunderstandingofpeoplewhostruggletoliveinaverypoorcountry. BookswerepreciousinUgandabecausetheschools
A.MaybeIshouldcallataxiB.canyouhelpmeC.it’sthesecondleftD.notreallyE.atthetrafficlightsF.NotatallG.MuseumDriveH.ThanksagainTourist:Excuseme56I’mlost!Person:CertainlywherewouldyouliketogoTourist:I’dliketogotothemuseumbutIcan’tfindit.IsitfarPerson:No57.It’sabouta5minutewalk.Nowgoalongthisstreettothetrafficlights.DoyouseethemTourist:YesIcanseethem.Person:Right58turnleftintoQueenMaryAvenue.Tourist:QueenMaryAvenue.Person:Right.Gostraighton.TakethesecondleftandenterMuseumDrive.Tourist:OK.QueenMaryAvenuestraightonandthenthesecondleft59.Person:Right.JustfollowMuseumDriveandthemuseumisattheendoftheroad.Tourist:Great.Thanksforyourhelp.Person:60.
A.would B.folk C.walk D.mile
Earthistheonly21weknowofintheuniversethatcansupporthumanlife.22humanactivitiesaremakingtheplanetlessfittoliveon.Asthewesternworld23onconsumingtwo-thirdsoftheworld’sresourceswhilehalfoftheworld’spopulationdoso24tostayalivewearerapidlydestroyingthe25resourcewehavebywhichallpeoplecansurviveandprosper.Everywherefertilesoilis26builtonorwashedintothesea.Renewableresourcesareexploitedsomuchthattheywillneverbeabletorecover27.Wedischargepollutants28theatmospherewithoutanythoughtoftheconsequences.Asa29theplanet’sabilitytosupportpeopleisbeing30attheverytimewhenrisinghumannumbersandconsumptionare31increasinglyheavydemandsonit.TheEarth’s32resourcesarethereforustouse.Weneedfoodwaterairenergymedicineswarmthshelterandmineralsto33usfedcomfortablehealthyandactive.Ifwearesensibleinhowweusetheresourcestheywill34indefinitely.Butifweusethemwastefullyandexcessivelytheywillsoonrun35andeveryonewillsuffer. 32
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