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若cos2θ＝，且θ为钝角，则tan（θ﹣）＝ ．
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高三上学期数学《》真题及答案
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化简=
cosα
﹣cosα
cos2α
﹣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
化简=
cosα
﹣cosα
cos2α
﹣cos2α
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)
5.00分已知α∈0π且tanα=2则cos2α+cosα=
点P.tan2015°cos2015°位于
第一象限
第二象限
第三象限
第四象限
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.
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
已知αβ∈0π且tanα＝2cosβ＝－.1求cos2α的值2求2α－β的值
若α∈0π且cosα+sinα=-则cos2α=．
若tanθ=则cos2θ=
若α∈0且sin2α+cos2α=则tanα的值等于
双扭线r=2acos2θ所围成图形的面积是
4a
cos2θdθ
4a
cos2θdθ
2a
cos2θdθ
用tanα表示sin2αcos2α和tan2α．
若2sinα+＝3cosα则tanα＝cos2α＝
已知cos的值则cos2的值为
1 2cos2
1 2cos
1 cos2
2 cos2
若则cos2θ=_____________
若cosа〈0且tanα〈0则α角是第象限
若α为钝角且sinα=则tanα=.
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10分 Flavoring Mostdrinksstatingthattheyarefruit﹣flavored水果味道的containnofruitatallwhilemostoftherestcontainonlyasmallquantityoffruitaccordingtoastudycarriedbytheBritishFoodCommission. Shoppersneedtocheckthelabels标签beforebuyingdrinksthoughsometimestheactualcontentcanbenon﹣existentsaidFoodCommissionspokespersonIanTokelove.Foodproductionishighlycompetitive.1Itwillincreaseprofitsandconsumerswon'talwaysrealizetheyarebeingtricked. Flavoringsarefocusedontheflavorsofnaturalfoodproductssuchasfruitsmeatsandvegetablesorcreatingflavorforfoodproductsthatdonothavethedesiredflavors.Researchersanalyzedthecontentsof28strawberry﹣flavoredproductssoldinstores.2Ofthe11productsthatdidcontainstrawberriesfiveofthemcontainedlessthanonepercentrealfruit.Inadditioneachjuiceboxcontainednearlyeightteaspoonsofsugar. 3Let'stakejamasanexample.Somestrawberry﹣flavoredjamwaslabeledascontainingnoartificialcolorsflavorsorsweetenersbutitcontainedabsolutelynostrawberriesatall. 4Consumershavetherightstoknowclearlyaboutwhattheyhavebought.UndercurrentUKlawfoodpackagesdonothavetodistinguishbetweennaturalandartificialflavoring.Describingaproductasstrawberryflavorandcoveringthesurfaceofthepacketwithpicturesofstrawberriesismisleading.5UnfortunatelyitisalsolegalandwidespreadTokelovesaid.It'stimetotakemeasurestoprotecttheconsumers'rights. A.Theproductswhichcontainrealfruitarepopularwithpeople. B.Evenproductsadvertisedasmorenaturaloftencontainednofruit. C.Theyfoundthatabout60vpercentofthemdidn'tcontainanyfruitatall. D.Ifcompaniescancuttheircostsbyusingflavoringtheyarelikelytodoso. E.Itisimportantandneessarytodemandasmallamountofflavoringintheproducts. F.Actuallytheproductcontainsjustatinypercentageofstrawberryorevennofruitatall. G.TheFoodCommissionsuggestedallflavorsusedinaproductshouldbelistedonthepackaging. 1. 2. 3. 4. 5.
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下列运算正确的是
15分Agroupoffrogsweretravelingthroughthewoodsandtwoofthem1fallintoahole.Alltheotherfrogslookeddown.Whentheysawhowdeep2holewastheytoldthetwofrogsthattheywoulddiesoon. Atfirstbothofthetwofrogsdidn'tcaretheirwordsandtried3besttojumpoutofthehole.Theotherfrogskepttellingthemtostopbecausetheythoughttherewasnochance4jumpoutofsuchadeephole.Finallyoneofthetwofrogsbelievedthesewordsandgaveup.Hefelldownanddied. Theotherfrogcontinuedtojumpashardashecould.Onceagainthecrowdoffrogsshoutedathimtostopthepainandjustdie.Hejumpedeven5hardandfinallysucceeded.WhenhegotouttheotherfrogsaskedDidn'tyouhearus?6theirgreatsurprisethefrogturnedouttobedeaf.Hethoughttheywerehelpinghimallthetimenot7stophim. Thisstoryteachestwolessons:Thereispoweroflifeanddeathinthetongue.Well﹣meantwordscanhelppeopleintrouble.Butevilwordssometimescankillthem.Becarefulof8yousay. Rememberthepowerofwords.Anyonecanspeakwords9arelikelytomakepeoplegiveupindifficult10time. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
IwastenwhenIfirstsatwithmygrandmotherbehindthecashier收银台inhergeneralstore.1Iquicklylearnedtheimportanceoftreatingcustomerspolitelyandsayingthnakyou. AtfirstIwaspaidincandy.2Iworkedeverydayafterschoolandduringthesummerandonweekendsandholidaysfrom8a.m.to7p.m.Myfatherhelpedmesetupabannkaccount.3 BythetimeIwas12MygrandmotherthoughtIhaddonesuchagoodjobthatthepromotedmetosellingcosmetics化妆品.Idevelopedtheabilitytolookcustomersdirectlyintheeye.EventhoughIwasjustakidwomenwouldaskmesuchthingsasWhatcolordoyouthinkIshouldwear?Itookarealinterestintheirquestionsandwasabletotranslatewhattheywantedintomakeup化妆ideas.4 Thejobtaughtmeavaluablelessontobeasuccessfulsalespersonyoudidn'tneedtobeaRocketscientist﹣youneededtobeagreatlistener.5expecttheyareNOlongerwomenpurchasingcosmeticsfrommeinsteadtheyarekidswhotellmewhichtoystheywouldliketoseedesignedanddeveloped. A.LaterIreceived50centsanhour. B.Beforelongsheletmesirtherebymyself. C.Iendedmysellingarecordamountofcosmetics. D.TodayIstillcarrythatlessonwithmeIlistentocustomers. E.Mygrandma'strusttaughtmehowtohandleresponsibility. F.SoonIfoundmyselflookingmorebeautifulthaneverbefore. G.WatchingmymoneygrowwasmorerewardingthananythingIcouldhavebought. 1. 2. 3. 4. 5.
6分Noonewouldmuchliketheideaofeating61poundsoftomatoesaday.Butiftheirgoodnesswasputintoaneasy﹣to﹣swallowpillthatyouweretoldmightpreventstrokes中风andheartattacksyouwouldprobablybeputtinginanordertomorrow. Researchersbelievetheymayhavecomeupwithjustthataftertrials.Thedailypillcontainsachemicalcalledlycopenewhichmakestomatoesredandisknowntobreakdownfatinthevessels血管.ACambridgeUniversitystudyfoundtakingthepillsimprovedbloodflowandtheliningofvesselsinpatientswithpre﹣existingheartconditions.Italsoincreasedtheflexibilityoftheirvesselsby50percent.Thescientistsbelieveitcouldlimitthedamagecausedbyheartdisease﹣responsiblefor180000deathsayear﹣andhelpcutthe49000deathsayearfromstrokes.Theyalsohopeitcouldbenefitthosewitharthritis关节炎diabetes糖尿病andevenslowtheprogressofcancer. Eachpillisequaltoeatingaround61poundsofripetomatoes.StudieshaveshowneatingaMediterranean﹣styledietrichintomatoesfishvegetablesnutsandoliveoilcansignificantlyreducecholesterol胆固醇andhelppreventcardiovasculardisease. Preliminaryresultsfromatwo﹣monthtrialinwhichthepillwasgivento36heartdiseasepatientsand36healthyvolunteerswithanaverageageof67werepresentedatameetingoftheAmericanHeartAssociation.Itwasshowntoimprovethefunctionoftheendothelium﹣thelayerofcellsliningbloodvessels.Italsoimprovedtheirsensitivitytonitricoxidethegaswhichcausestheenlargementofthevesselsinresponsetoexercise. IanWilkinsonheadofCambridgeUniversity'sclinicaltrialsunitsaidTheseresultsarepotentiallyverysignificantanditmeetsthegoalbutweneedmoretrialstoseeiftheytranslateintofewerheartattacksandstrokes. Furtherstudiesareplannedwithresearchershopingitcouldofferachoiceforheartdiseasesuffererswhocannottakethecholesterol﹣lowingdrugs. MikeKnaptonheadoftheBritishHeartFoundationsaidAlthoughthisshowedlycopeneimprovedbloodflowinpeoplewithheartdiseasethat'salongwayfromdemonstratingthattakingitcouldimproveoutcomesforpeoplewithheartdisease.Thebestwaytogetthebenefitsofagooddietistoeatplentyoffreshfruitandvegetables. 1.WhatcanweinferfromParagraph1? A.Wecaneattoomuchtomatofood. B.Tomatoesarehelpfultostrokesandheartattacks. C.Tomatoeswilllosehealthyelementswereputintopills. D.Wehadbetternoteattomatoes. 2.Wecanlearnfromthepassagethatthepills. A.areattheexperimentstage B.cancureallthedisease C.arewidelyusedamongpatients D.costpatientssolittlemoney 3.WhatWasIanWilkinson'sopiniononthetrial? A.Disappointing. B.Surprising. C.Satisfactory. D.Terrible.
6分NingZetaohasbecomeChina'snewswimmingstarduetohisamazingperformanceatthe2014AsianGamesinIncheon仁川SouthKorea.Withalreadytwogoldmedalsinhandthe21﹣year﹣oldclocked47.70secondsinthe100mfreestylesettinganewAsianrecord.ThisresulthasbeenrecognizedbyFINAastheworld'sthirdbesttimethisyearfastenoughtohavewonagoldmedalinlastyear'sBarcelonaWorldChampionships.ItismyfirstinternationaleventsaidNingwholaterwonafourthgoldmedalinIncheon.Iamhappythatmyresultsareprettyclosetomypersonalbest. BorninthecentralChinesecityofZhengzhouNingenteredthelocalteamattheageof11andjoinedthenavyteamin2007.Hefirstcaughtpeople'sattentionin2009whenhefinishedeighthinthe200mindividualmedley混合泳attheNationalGames. NeverthelessNingsufferedfromboneinfectioninbothkneesforalongtimewhichmadehimunabletotrainhardonhiskicks.Healsohadanindigestionproblemandhadtoeatsoftfoodwhichiseasytodigest.Hispoorstomachevenmadeitimpossibleforhimtocompleteweek﹣longfulltimetraining.Buttheyoungswimmernevergivesup.HisidolisthegreatRussianswimmerAlexanderPopovwhocontinuedtowinOlympicgoldmedalsafterhewasstabbed刺伤onastreet.NingsaidHewasarealfighterandIneedtolearnfromhim. TakenbettercareofbycoachesanddoctorsNingcannowtrainasnormallyasothers.Andthatiswhyhecangettoday'sachievements.ThegoldmedalsattheAsianGamesalsoboostedtheconfidenceofthenewswimmingstarwhohopestoenterthenationalteamandcompeteforChinainmoreinternationalevents.Chinesemaleswimmershaveneverbeenplacedamongtopeightintheshort﹣distancefreestylehesaid.IhopeIcandoitjustlikewhatSunYangdidinthemid﹣longdistancefreestyle. 1.Thebesttitlecouldbe. A.NingZetaoaworldfamousswimmer B.NingZetaoapromisingrisingstar C.NingZetaoastrong﹣willedsoldier D.NingZetaoaworldgoldmedalist 2.Wecanlearnfromthepassagethat. A.theresultsNinggotinIncheonarehisbest B.Ningisgoodatboth100mand200mfreestyle C.NingbrokeanAsianrecordatthe2014AsianGames D.Ninghasalreadygot5goldmedalsintheinternationalevent 3.Itcanbeinferredfromthepassagethat. A.somehealthproblemshavelittleeffectonNing'straining B.beingwellcaredofisthemainreasonforNing'sachievements C.theChineseswimmershavenevergotintothetopeighthintheworldevent D.goldmedalistasNingisheisnotyetamemberofNationalSwimmingTeam
ChooseYourOne﹣DayTours TourA﹣Bath&StonchengeincludingentrancefeestotheancientRomanbathroomsandStonehenge﹣￡until26Marchand￡39thereafter. Visitthecitywithover2000yearsofhistoryandBathAbbeytheRoyalCrescentandtheCostumeMuseum.Stonehengeisoneoftheworld'smostfamousprehistoricmonumentsdatingbackover5000years. TourB﹣Oxford&StratfordincludingentrancefeestotheUniversityStMary'sChurchTowerandAnneHathaway'shouse一32until12Marchand36thereafter. OxfordIncludesaguidedofEngland'soldestuniversitycityandcolleges.Lookoverthecityofdreamingspires尖顶formStMary'sChurchTower.StratfordIncludesaguidedtourexploringmuchoftheShakespearewonder. TourC﹣WindsorCastle&HamptonCourtincludingentrancefeestoHamptonCourtPalace﹣﹣£34untilMarchand£37thereafter. IncludesaguidedtourofWindsorandHamptonCourtHenryMill'sfavouritepalace.FreetimetovisitWindsorCastleentrancefeesnotincluded.With500yearsofhistoryHamptonCourtwasoncethehomeoffourKingsandoneQueen.Nowthisformerroyalpalaceisopentothepublicasamajortouristattraction.Visitthepalaceanditsvarioushistoricgardenswhichincludethefamousmaze迷宫whereitiseasytogetlost! TourD﹣CambridgeincludingentrancefeestotheTowerofSaintMarytheGreat﹣£33.until18Marchand£37thereafter. IncludesaguidedtourofCambridgethefamousuniversitytownandthegardensofthe18thcentury. 33.WhichtourwillyouchooseifyouwanttoseeEngland'soldestuniversitycity? A.TourAB.TourBC.TourCD.TourD 34.Whichofthefollowingtourschargesthelowestfeeon17March? A.WindsorCastle&HamptonCourt. B.Oxford&Stratford C.Bath&Stonehenge. D.Cambridge. 35.WhyisHamptonCourtamajortouristattraction? A.Itusedtobethehomeofroyalfamilies. B.Itusedtobeawell﹣knownmaze C.ItistheoldestpalaceinBritain D.Itisaworld﹣famouscastle.
函数y＝中自变量x的取值范围是
JeanDriscollcangofasterinherwheelchairthantheworld'sbestmarathoners马拉松运动员canrun! InAprilJeanfinishedtheBostonMarathonin1hour34minutes22seconds.That'sabout33minutesfasterthanthewinningmalerunner!Shecompetedonthetracktoo.Shewassecondinthe800meterwheelchairraceatthe1992Olympics. Jeandoesn'tliketobetoldshe'sbrave.I'minsportsbecauseI'macompetitiveperson!Jeanwasbornwithspinabefida脊柱裂abirthillnessthatdamagesthespine脊椎.Shebegantouseawheelchairtogetaroundinhighschool.Thenshetriedwheelchairraceandwasamazed.PlayerscrashedintoeachotherandfelloutoftheirchairsshesaysItwasfun. Jeantriedotherwheelchairsports.AttheUniversityofIllinoisherwheelchairbasketballteamwontwonationaltitles. NowJeancoachesandteaches.Shetriestogetpeopletosetgoals.WhenIsignmyautograph亲笔签名saysJeanIwritedreambigandworkhard. 1.WhatmadeJeantakepartinsports? A.Shewasbrave. B.Shewascompetitive. C.Shewasstrong. D.Shewasdisabled. 2.Whatkindofeducationdidshereceive? A.Highschool. B.Juniormiddleschool. C.Higheducation. D.Primaryschool. 3.WhatisJean'sadviceonhowtosucceed? A.Workhard. B.Hopeforthebest. C.Dreamalot. D.Havegreatwishesandworkhard.
25分假定你是希望中学学生李华得知2017年香港大学要在大陆进行自主招生的消息后有意向香港大学申请参加自主招生考试请用英语写一封自荐信主要包括:1.个人信息2.性格爱好与特长3.学习情况注意:1.词数100左右;2.信的开头已为你写好不计入总词数;3.可根据内容要点适当增加细节以使行文连贯.4.参考词汇:自主招生independentrecruitmentDearSirMynameisLiHuafromHopeHighSchool.YoursLiHua.
某班七个兴趣小组人数如下566x789已知这组数据的平均数是7则这组数据的中位数是
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