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如图所示,一个棱镜的顶角为θ=41.30°,一束白光以较大的入射角从棱镜的左侧面射入,在光屏上形成彩色光带,最上端是 色,各色光在棱镜中的折射率和发生全反射的临界角见下表.当入射角逐渐减小到0°...
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高二下学期物理《》真题及答案
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一束白光从顶角为θ的一边以较大的入射角i射入并通过三棱镜后在屏P.上可得到彩色光带如图所示在入射角i
红光最先消失,紫光最后消失
紫光最先消失,红光最后消失
紫光最先消失,黄光最后消失
红光最先消失,黄光最后消失
一束白光从顶角为的一边以较大的入射角i射入并通过三棱镜后在屏P.上可得到彩色光带如图所示在入射角i逐
红光最先消失,紫光最后消失
紫光最先消失,红光最后消失
紫光最先消失,黄光最后消失
红光最先消失,黄光最后消失
如图所示一束红光和一束紫光平行入射到三棱镜上经棱镜折射后交汇在屏上同一点下列判断正确的是
a为紫光,b为红光,a光在棱镜中的速率小
a为紫光,b为红光,b光在棱镜中的速率小
a为红光,b为紫光,a光在棱镜中的速率小
a为红光,b为紫光,b光在棱镜中的速率小
如图所示一直角三棱镜顶角为30°一束光垂直AB边入射从AC边又射入空气中请画出从AC边出射的光线
如图所示MN是暗室墙上的一把直尺一束宽度为a的平行白光垂直射向MN现将一横截面积是直角三角形顶角
为30°)的玻璃三棱镜放在图中虚线位置,且使其截面的直角边AB与MN平行,则放上三棱镜后,射到直尺上的光将:
A.被照亮部分下移
被照亮部分的宽度不变
上边缘呈紫色,下边缘呈红色
上边缘呈红色,下边缘呈紫色
如图所示MN是暗室墙上的一把直尺一束宽度为a的平行白光垂直射向MN现将一横截面积是直角三角形顶角
为30
0
)的玻璃三棱镜放在图中虚线位置,且使其截面的直角边AB与MN平行,则放上三棱镜后,射到直尺上的光将
A.被照亮部分下移
被照亮部分的宽度不变
上边缘呈紫色,下边缘呈红色
上边缘呈红色,下边缘呈紫色
一束白光如图所示射向三棱镜在另一侧光屏上得到彩色光谱两端颜色分别为A._______________
如图所示一束白光经三棱镜折射后在光屏上形成自上而下为红橙黄绿蓝靛紫的色带这就是光的_________
如图所示一束白光射到一个玻璃三棱镜上试在图上画出白光中的红光紫光成分通过三棱镜的大致光路图.
如图所示一束光垂直射向一顶角为30°的玻璃三棱镜请在图中画出光通过三棱镜的光路图
如图1-3-27所示一个由某种透明物质制成的三棱镜顶角θ=30°∠C.=90°一束绿光垂直射向AC面
如图所示一束白光经三棱镜折射后在光屏上形成自上而下为红橙黄绿蓝靛紫的色带这就是光的_________
如图所示一束光垂直射向一顶角为30°的玻璃三棱镜请在图中画出光通过三棱镜的光路图
一束白光经三棱镜折射后在光屏上形成自上而下为红橙黄绿蓝靛紫的色带如图甲所示.若分别用红光和紫光平行于
如图所示C.为蓝色玻璃D.为白屏一束太阳光从三棱镜的一边入射当太阳光经过三棱镜折射后出射光线再经过C
红光
白光
黄光
蓝光
如图所示有一个玻璃三棱镜ABC其顶角A.为一束光沿垂直于AB面的方向射入棱镜后又由AC面射出并进入空
如图8所示一束白光从顶角为θ的棱镜的一个侧面AB以较大的入射角θ1入射经过三棱镜后在屏P.上可得到彩
红光最先消失,紫光最后消失
紫光最先消失,红光最后消失
紫光最先消失,黄光最后消失
红光最先消失,黄光最后消失
如图所示放置的半圆玻璃砖半径为R.折射率为n直径AB与屏幕MN垂直并接触于
点.一束光以较小的入射角i射向半圆玻璃砖的圆心O.,下列说法正确的是:( ) A.若是一束白光入射,则在屏幕AM间呈现彩色的光带,其左边为紫色,右边为红色
若是一束白光入射,则在屏幕AN间呈现彩色的光带,其左边为红色,右边为紫色
若是一束白光入射,则在屏幕AM间呈现彩色的光带,随着入射角的增大最先在屏幕上消失是紫光
若是一束激光入射,则会在屏幕上A.点两侧各出现一个亮斑,且随着入射角的增大两亮斑的距离也增大
等腰三棱镜的顶角是30°一束光线从棱镜左侧垂直于棱镜射入折射光路如图所示求①三棱镜的折射率n②光在玻
如图所示一束太阳光白光入射到三棱镜上通过三棱镜后在另一侧的光屏上的形成彩色光带在光带上取ab两束单色
a光子的能量较大
在水中a光传播的速度较小
若用完全相同的装置做双缝干涉实验,a光产生的干涉条纹间距较大
若用a光照射某金属没有光电子逸出,则用b光照射该金属时也没有光电子逸出
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8分Ifonlythingswerethatsimple.Supportersoftheso﹣calledStoneAgedietarguethatfarmingpracticesintroducedabout10000yearsagoareharmfultohumanhealthandthatweshouldn'teatgrainsorfoodmadefrommilksuchasbutterandcheese.Insteadtheysayweshouldonlyeatplentyofleanmeat瘦肉andfishwithfruitandrawvegetablesontheside. Theideaalsocalledthecavemanorhunter﹣gathererdiethasbeenaroundfordecadesandwasdiscussedatameetingoftheBritishSocietyforAllergyEnvironmentalandNutritionalMedicine. AccordingtoLaurenCordainanutritionistatColoradoStateUniversitywhopresentedtheideatothemeetingthosefollowingthemeat﹣centeredmenuloseweightandgethealthybyeatingthefoodyouweredesignedtoeat.Hesaysthereisincreasingevidencethatacavemandietcanpreventandtreatmanycommonwesterndiseases.StudiesofislandersinPapuaNewGuineawhostillliveahunter﹣gathererlifestyleshowtheyrarelysufferfromheartdisease. Butothernutritionistsarguethatcuttingoutwholefoodgroupssuchasgrainsisjustnotagoodidea. IwouldrecommendanybodytoeatleanmeatandrawvegetablessaysToniSteeroftheMRChumannutritionresearchunitatCambridge.Butwhatyou'reaskingpeopletodoiscutoutafoodgroupwhichisgoodforyourhealth. Archaeologistssayit'snotevenclearexactlyhowmuchofthevariousfoodspeopleactuallyateduringtheStoneAge. TherewasnooneStoneAgedietdietsofthepastvariedgreatlysaysJohnGowlettanarchaeologistattheUniversityofLiverpoolwhoalsoattendedtheconference.PrehistoricpeopleinAfricaprobablyatelessmeatthanmanypeoplethinkhesayswhilethoseinthenorthernicyareaswereforcedtoeatonlywhateveranimalstheycouldcatch. I'mnotconvincedthatweknowwhatStoneAgemanateagreesAndreMillardwhoresearchesancienthealthanddietatDurhamUniversity.Theevidencewehaveonlysuggeststhemeatcomponentofthediet.Wegetbonesfromanimalstheyhaveeatenbutwedon'tgettheremainsofanyvegetablestheyhaveeatenbecausetheyrot腐烂away. 32.ToimproveyourhealthCordainsuggests. A.losingweightfirst B.eatinglessmeatandfish C.goingontheStoneAgediet D.eatingmorefruitandvegetables 33.WhatisSteer'sattitudetowardseatinggrains? A.Doubtful. B.Cautious. C.Tolerant. D.Supportive. 34.InMillard'sopiniontheevidencefortheStoneAgediet. A.showsnothingaboutthediet'svegetablecomponent B.tellsusaboutancientpeople'scookingmethods C.hasproventobereliableandconvincing D.agreeswithhisresearchresults 35.Whatdoesthetextmainlydiscuss? A.HowtheStoneAgeevolved. B.WhentheStoneAgedietstarted. C.WhethertheStoneAgedietishealthy. D.WhytheStoneAgetopicisgettingpopular.
25分假如你是李华上周在外教Mr.Jackson的口语课上使用手机被老师发现手机被收走.请给外教写一封道歉信内容应包括以下要点 1.表示歉意 2.解释上课使用手机的原因 3.提出自己的请求并适当表态. 注意1.可适当添加细节使文章连贯字数100左右 2.信的开头和结尾已给出不计入总词数. DearMr.Jackson Yourssincerely LiHua.
8分ZuzanaRuziekovasufferedinthreeconcentrationcampsinWorldWarⅡbutnotonlydidshesurviveshealsobecameoneoftheworld'sleadingharpaichordislR大键琴家. BorninCzechoslovakiaon14January1927touJewishfamilyshehadahappychildhoodexceptsuferingfromtuberculosis.Onedayasarewanlforgettingbetterfromherillnesssheaskedherparentsforapianoandpianolessons.Doctorsorderedh«*rtorestbutsheinsistedandachievedherobjective.HerteacherwassoimpressedthatsheencouragedhertogotoFrancelostudywiththeworld'stopharpsichordist. In1939thoughtheNazisoccupiedCzechoslovakia.NotonlywassheunabletostudyinFrancebutthreeyearslatersheandherfamilyweredriventotheTerezinlabourcamp.Hergrandparentsandherfatherlalerdiedinthecamp.Shecanstillrememberhowterriblyfrightenedshewas.whenhercampnumberinAuschwitzhadfaded.In1945shebecameaforcedlabourerinHamburg. ThenshewassenttotheBergen﹣Belsencampwhereinyetanothermisfortuneshewasaffectedwithbubonicplague黑死病. WhenshefinallyreturnedtoCzecho﹣slovakiawithherseriouslysickmotherherhandswereinanawfulstatedumagedfromworkinginthefieldsandcarryingbricks.Shewasadvisedtoabandonanyambitionforamusicalcareer.Butsherefusedandpracticedthepianofor12hoursadaytomakeupforlostlime.Inspiteofgreatdifficultiesshewentontostruggleforadislinguishedcareenasaharp﹣sichondist. Herinternationalbreakthroughcamein1956whenshewontheAHDInternationalMusicCompe﹣titioninMunich.SincethattimeshehasperformedregularlythroughoutEuropeandhasmaderepeat﹣edvisitstoJapanandtheUnitedStairs.Between1965and1975shealsobecamethefirstpersontorecordBach'scompleteworksforkeyboard.Tomarkher90thbirthdaynextmonth.hercompleteBachrecordingshavebeenre﹣issued.Anewdocumentaryaboutherwillalsobereleased. 25.WhatdoestheunderlinedwordobjectiveinParagraph2referto? A.status B.award C.target D.equality 26.WheredidRuzickovagetherhandsdamaged? A.InHamburg. B.InAuschwitz. C.InTerezincamp. D.InBergen﹣Belsencamp. 27.WhichmarkedthebeginningofRuzickova'sintemationalcareer? A.HerrecordingsofmusicbyBach. B.HersuccessattheMunichcompetition. C.Shootingadocumentaryabouther. D.Celebratingher90thbirthdaynextweek. 28.WhatcanwelearnfromRuzickova'sachievingherambition? A.It'snevertoolatetomend. B.What'sdonecannotbeundone. C.Failureisthemotherofsuccess. D.Wherethere'sawillthere'saway.
8分OnacoldMarcheveningin2014inLucedaleMississippiAnnBoschethen53stoodonherfrontstepswhileherminidachshundGracieLookabathroombreak.Graciesniffedanunwelcomevisitorunderthecamelliabush山茶花树andbarked.Annbentandsawapairofgreeneyes. HellothereAnnsaidandheardameowinreply.AnnwhohadtworesidentcatsBoscoandJuniorwentinside.Shereturnedwithabowlofcatfoodandsliditbeneaththebush. Thenextnightthecatreturned.Annfedhimagainmovingthebowlclosertothehouse.Afteraweekthemysterycatshowedhimself.Hewaslong﹣hairedwickaplume羽毛状oftailendedbyawhitetip.AnncalledhimMr.FancyorFancyforshort. SoonMr.Fancywaswalkinginandoutofthecatdoor.HoweverAnn'shusbandGenearguedthatFancyshouldfindanewhome.Wedon'tneedanothermouthtofeedandvetbillsareexpensivehesaid.Reluctantly勉强的Annagreed. Thedrivetotheanimalshelterwasheartbreaking.Anncried.HersonJimmycried.ShecomfortedJimmybysayingHe'ssobeautifulandlovable.Somebodywillwanthim. AmonthlaterAnnwoketothesoundofGene'svoice.Shewenttoseewhichanimalhewastalkingto﹣andsawawhite﹣tippedtail.AthinnerFancyranacrosstheroomtoher. WhensheaskedtheshelterwhathadhappenedshelearnedthatFancyhadescaped20minutesaftershehadleftwhenaworkeropenedthecagetofeedhim.Somehowoverthenextmonthhe'snavigatedthethreemiles﹣travellingalongrailroadtracksbusystreetsandneighborhoods﹣backtotheBosches. HeismeanttohehereAnnsaid.EvenGeneagreedWhatevertimeIhavewithhimAnnsaidthey'regoingtobethebestyearsofhislife. 5.WhoisGracie? A.Ann'sdog. B.Ann'schild. C.Ann'shousekeeper. D.Ann'scat. 6.WhydidGenethinkFancyshouldfindanewhome? A.OthertwocatsmayfightagainstFancy. B.Fancyissolovablethatsomeonewillwanthim. C.Fancyiswalkinginandoutregardlessofotherpets. D.ToraiseFancywillburdenthemwithmarebills. 7.TheunderlinedwordHeinthelastparagraphrefersto. A.Gene B.Jimmy C.Fancy D.Bosco 8.WhichwordcanbestdescribeAnnBosche? A.Generous. B.Compassionate. C.Merciless. D.Selfish.
10分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.毎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﹣个漏字符号∧并在其下面写出该加的词. 删除把多余的闷用斜线\划掉. 修改在错的词下划一横线并在该词下面写出修改后的词. 注意1每句话只有一处错误每处错误修改仅限一词. 2只允许修改10处多者从第11处起不计分. IwilltellyouaboutaboyImet.TheotherdayafterschoolIwaswalkingdownthestreetwhileIsawaboyridinganiceunicycle.Whichislikeabicyclewithonlyonewheels.Dressinginpinkfromheadtotoehewassingingasongwhichwassoundedlikeakid'ssong.Ithoughthemustbetotalcrazy.Justthenaladydropped20﹣dollarbillonthegroundbuthedidn'trealizeitandstar﹣tedtomilkaway.Theboyinpinkpickedoutthemoneyandgaveitbacktoher.Afterthatherodeonbutsoondisappearpdbeforetheladycouldthankhim.Howastrangeandgoodguy!
8分AtleastonceeachwinterImanagetogetagoodflightinthemiddleofasnowstorm.LastSundaywasthatflight.Mygliding滑翔的partnershadlookedattheweatherreportsofshowersanddecidedtostayathome.Peoplesaythatyoushouldn'tflybyyourselfbutonthatdayIfelttheurgetogoflyingandsoheadedformyfavoriteglidingsite. Ihadthemountainridgetomyself.Afterasmoothlift﹣offIfloatedstablyinthebreezefeelingatpeacewithmyselfandtheworld.IlookedacrossthevalleytoBedfordandamomentlatersawthetowndisappearinabandofsnowthatwasmovingtowardsme. ThebreezeremainedstrongenoughforflyingandIknewthataslongasthevisibilitywasgooditwasOKformetostayintheair.Thesnowmovedinandswirledaroundme.Itwasalightdrysnow.Thedaywasalreadyveryquietbutsomehowthelightsnowmadeitevenmoresilent.Ifeltlikeasnowflake. Twobaldeaglesjoinedme.Theydidn'tpaymeanyattentionandspentafewminutesflyingaroundtheridgebeforedisappearing.Iflewthroughanotherbandofsnow.Ihadbeenflyingforabout45minuteswhenInextlookedacrossthevalley.Icouldseethereweremorebandsofsnowtocomeandthebreezewasdyingtoo. Itwastimetogohomegetinahotbathandwarmup.Icouldn'twaittotellmyglidingpartnersthattheyhadmissedoutonaperfectflight. 28.Whydidtheauthor'sglidingpartnersrefusetoflyonthatday? A.Theypreferredtoflyalone B.Theweatherdidnotpermit C.Theydidnotlikewinterflights D.Theequipmentwasnotadequate 29.WhichisclosestinmeaningtotheunderlinedwordvisibilityinParagraph3? A.Weather B.Skill C.Possibility D.View 30.Whatcanbeinferredfromthepassage? A.Thebaldeaglecancausedamagetotheauthor'sflight. B.Theauthorwilllandandgohomeafterthesnowstops. C.Brandofsnowwillbeagreatthreattotheauthor'sflight. D.Theauthorwillhesitatetosharehisexperiencewithhispartners. 31.Whatcouldbethebesttitleforthearticle? A.TheFirstFlightAlone B.ANarrow﹣EscapeFlight C.OneNever﹣AgainFlight D.AnImpressiveWinterFlight.
10分 Isconversationalostart? Thenexttimeyoueatatarestauranttakesometimetolookaroundyou.Whatdoyounotice36Howmanyofthemareengaged忙于inface﹣to﹣faceconversations?Ontheotherhandhowmanyofthemhavetheirheadsdownusingasmartphone? ThankstosmartphonesandtheInternetwe'reabletotextemailormakephonecallsalldaylong.37Expertsarguehoweverthatthetypesofcommunicationmadepossiblebymoderntechnologyhavecomeattheexpenseofrealface﹣to﹣faceconversations.Eventhoughwe'reconnectingmorethanevertheexchangesaren'tasdeepasin﹣personconversations. Dowereallyspendthatmuchtimeonelectronicdevices设备though?38Accordingtoarecentstudytoday'syoungAmericansages8﹣18spendmorethanseven﹣and﹣a﹣halfhourseverydayonelectronicdevicessuchassmartphonestelevisionscomputersandvideogames. Sowhat'sthebigdeal?Manyexpertshavenotedthatareliance依赖uponelectroniccommunicationscanhaveanegativeeffectonsocialskillsandwritingskills.39Whiledigitalcommunicationsteachcertainskillsandhabitsface﹣to﹣faceconversationsteachotherskillsthatareimportantforouroverallwell﹣being. 40Expertsurgepeopletounplugmoreoften.Setasidetimewithoutelectronicstoshareface﹣to﹣faceconversationswithfriendsandfamily.Keepingahealthybalancebetweenon﹣screenandoff﹣screendiscussionswillmakeyouabettercommunicatorinallareasofyourlife. A.Researchershavefoundtheanswerisyes. B.Payparticularattentiontotheotherpeoplearoundyou. C.Howcanwebesurewedon'tlosetheartofconversation? D.Whenyou'resadorlonelyasmilemaymakeahugedifference. E.Thiscanmakeithardertokeephealthyrelationshipsasanadult. F.Inmanywayswe'recommunicatingmorethanweeverhadinthepast. G.There'sanaverageof11hoursofmediacontentinthoseseven﹣and﹣a﹣halfhours.
6分MarcoPoloTheBoywhoTraveledTheMedievalWorld AuthorNickMcCarty Pages64 ISBN0﹣92258932 DividedintofourchaptersABoyinVeniceSettingOutTheLongJourneyandWorkingforKublaiKhanMarcoPoloexaminesthefascinatinglifeofthemerchantandtraveler.Marcowasateenagerbythetimehisfatherandunclereturnedhome.BothmenwerefulloftalesfromtheirtravelsthroughChinaincludingastoryaboutmeetingthegreatKublaiKahntheruleroftheMongols. Rabbit'sGift AuthorGeorgeShannon IllustratorLauraDronzek Pages32 ISBN0152060731 Rabbit'sGiftisamodernretellingofthegivingfable.Throughtheeyesoftheadorableforestcreaturesthereaderseesthatwhileheisnotresponsibleforthehappinessofothershisactionscandeeplyimpactthosehecomesincontactwith. ALittlePeace AuthorBarbaraKerley Pages32 ISBN1426300867 ALittlePeaceisabookwithanimportantmessage.Thesparerefreshingtextwindsitswayaroundandthroughfull﹣colorphotographs.EachvividlycapturestheuniversalemotionsandpeacefulpursuitsofeverydaypeoplearoundtheworldayounggirlinKenyasmilingintoamirroragroupofwavingschoolchildreninBali.Neartheendofthebookadouble﹣pagespreadofferspicturesalongwithanexplanationofwhereitwastaken. HowOneSmallLoanMadeaBigDifference AuthorKatieSmithMilway IllustratorEugenieFernandes Pages32 ISBN9781554530281 ThefamiliesinKojo'svillagecomeupwithanidea.Eachfamilycontributesasmallamountofsavingssothatonefamilyatatimecanborrowthemoneytobuysomethingimportant.Kojo'smotherusestheloantobuyacartwithwhichtocarryfirewoodtothemarketplaceaswellasrentouttothosewhoneedtotransportitems. 21.WhatisthefeatureofNickMcCarty'sbook? A.Itismadeupoffourchapters. B.ItintroducesthesceneryinChina. C.Itwasintendedforchildren. D.ItinvitesMacroPolotoreadit. 22.WhenMarcoPolowasyoung. A.heoftentravelledwithhisfather B.heheardalotaboutChina C.hedevelopedaninterestintravelling D.helivedafascinatinglife 23.WhatisthebookALittlePeaceabout? A.Itisaboutdescriptionofforestcreatures. B.Itisabouthowtosendimportantmessages. C.Itisaboutpeople'slifearoundtheworld. D.Itisaboutchildren'slifeinKenyaandBali.
30分DuringtheAprilsuperstormmyfaithinpeoplewasrestored.OnApril20Idecidedto21intotowntobuygroceriesduringabreakintherain.22asIdrovehacktomyhomethe23tookaturnfortheworse.Itwasrainingvery24.ApproachingmysuburbIhadnowheretogoasthewaterlevelontheroad25infrontofme. Amaninhisfrontyardwavedtometo26inhisdriveway汽车道whichwasawayfromthefloodwaters.Themanwho27himselfasTrentthenurgedmetowaitinsidehishouse.ItoldhimIwas28aboutthedamagetomycarastherainstartedto29hail冰雹.Trentthengrabbedacoverandcoveredmy30.Hewastotally31butdidn'tmindbeingoutintherain32.Fortunatelymycarwassavedthankstohis33. By11amtheelectricityandphoneserviceshadgoneandIcouldn'treachmyparentsdespiteknowingtheywouldhe34.Trentmademecupofteaandgavemea35todrymyselfoff.By1230pmtherainhadabated减弱soIaskedTrent36hethoughtitwouldbe37enoughtoleave﹣heassuredmeltwas.AsIleftIinsistedontakingtwoofhisbusinesscardstorewardhiminthefuture. Trentwasso38asIthankedhimforhishelp.IwasveryheartenedbyTrent's39anditrenewedmy40inpeople. 21.A.move B.leave C.drive D.return 22.A.Therefore B.However C.Otherwise D.Moreover 23.A.weather B.car C.mad D.comer 24.A.thick B.hard C.heavily D.severely 25.A.rushed B.flooded C.trapped D.rose 26.A.shelter B.travel C.park D.occupy 27.A.introduced B.regarded C.pretended D.saw 28.A.concerned B.certain C.encouraged D.disappointed 29.A.looklike B.comefrom C.turninto D.bringabout 30.A.truck B.tractor C.bus D.car 31.A.weak B.exhausted C.willing D.wet 32.A.onmybehalf B.infavorofme C.inthenameofme D.onmyside 33.Apromise B.patience C.efforts D.skills 34.Adisappointed B.worried C.satisfied D.excited 35.Araincoat B.umbrella C.towel D.shirt 36.A.if B.when C.why D.how 37.A.able B.fortunate C.easy D.safe 38.A.modest B.confident C.lucky D.generous 39.A.encouragement B.determination C.kindness D.wisdom 40.A.passion B.trust C.impression D.respect
15分Thegreyhoundisadogwithalongneckandheadlandsmallears.Theycomeinan61variousofcolorsincludingblackredandwhite.Theyhavelongandpowerfullegsandsmallfeet62helpthemmovefast.Infacttheyarethefastestdogsaround.Younghealthygreyhoundscanrunupto72kmperhour.Theyusuallyliveforabout15years63sometimesmore. Inthepastgreyhounds64traintohuntandwereverygoodhuntingdogs.Theyhaven'tgiven65huntingbutnowadaystheyalsohaveanotherpurpose.Greyhoundshavebeentrainedbyprofessionalsformanyyears66raceandmanypeoplegototheracetrackstowatchthemrun. Likemostathletesgreyhoundshaverelativelyshortcareers.Whenthey67runtheirlastracethey'restillquiteyoungandhavethepotentialtolivelong.Butthese68retireracersneedgoodhomes. 69fortunategreyhoundsarefriendlyandgentlewithchildren.Familieswhohaveadoptedgreyhoundsagreethatan70goodpetcannotbefound!
15分Mysix﹣year﹣oldgranddaughterstaresatmeasifsheisseeingme61thefirsttime.Grandmayouareanantiquebecauseyouareoldshesays.IexplainAnantiqueisnotonlyjustoldit'sanobject62belongtoearliertimes.Antiquesarevaluable. Welookaroundthehouseforantiques.Thereisalargedeskthat63handdownfromanaunttoourfamily.It'sveryoldItellJenny.Itrytokeepit64polishandIshowitoffwheneverIcan.WhenJenny65getolderImightalsotellherthatwheneverIlookatthedeskortouchitIamremindedoftheauntwhowasdeartome.Iremembermyselfasalittlegirlstandingagainstthisantique68listentooneofherstories. Ourtourofantiquescontinues.Thereisapictureonthewall67datesfrom1867anditisnotinverygoodcondition.Thereisavaseonthefloor.I'mnotcertainwhereitcamefrom68Ididn'tbuyitnew.TheonethingaboutantiquesIexplaintoJennyisthattheyusuallyhaveastory. ForamomentJennylooks69thought.Idon'thaveanyantiquesbutyoushesays.Then70shefacebrightens.CouldItakeyoutoschoolforourantiquesshow?
25分假定你是校学生会__澳大利亚某中学访问团即将来你校进行交流访问.请根据以下提示用英语写一篇欢迎词.1.表示欢迎2.活动安排参观校园观看表演参加座谈会3.表达祝愿. 注意1.词数100左右2.可适当增加细节以使行文连贯. .
要完成下列两项调查①从某社区125户高收入家庭280户中等收入家庭95户低收入家庭中选出100户调查社会购买力的某项指标②从某中学的15名艺术特长生中选出3人调查学习负担情况宜采用的抽样方法依次为
6分WhychooseCambridgeEnglish? Giveyourstudentsthebestsupport AspartoftheUniversityofCambridgewearecommittedtoexcellenceineverythingwedo.Weareknownallovertheworldforqualitymaterialsthatreallywork﹣fromtheever﹣popularEnglishGrammarinUsetobest﹣sellingcourseslikeTouchstoneandEnglishinMind. It'snowonderthattensofmillionsofteachersandlearnersaroundtheworldhavechosenCambridgetohelpthemachievetheirgoals. Focusonthelanguagetheyreallyneed WithCambridgeEnglishyoucanbesurethatthelanguageyou'reteachingisnaturaluptodateandusefulforyourstudents.WeusethelatestresearchtounderstandhowEnglishworksandtohelpstudentslearnmoreeffectively. Prepareforexamsuccess WearetheonlypublisherofofficialpreparationmaterialsforCambridgeEnglishexams.OurwideselectionofcoursespracticetestsandmaterialsaredevelopedinclosecooperationwithCambridgeEnglishLanguageAssessmentthepeoplewhosettheexams.Soyoucanfullyprepareyourstudentsforexamsuccess. Developasateacher Yourprofessionaldevelopmentisimportanttoustoo.WeprovideoutstandingteachersupportincludingteachertrainingseminarsandtheuniqueonlineprofessionaldevelopmentsiteCambridgeEnglishTeacher. WearealsoincreasinglyworkingwithtopschoolsaroundtheworldofferingourexperienceexpertknowledgeandskilltohelpdevelopCambridgeEnglishschools. 21.WhatisoneadvantageofCambridgeEnglish? A.Usefulmaterials. B.Experiencedteachers. C.Anauthenticlearningenvironment. D.Detailedresearchonlanguage. 22.WhycanCambridgeEnglishhelpstudentsbecomeconfidentaboutCambridgeEnglishexams? A.Becausetheexamsarewrittenbyitsteachers. B.Becauseitworkstogetherwiththeexamauthority. C.Becauseitisguidedbylanguageassessmentexperts. D.Becauseitsmaterialsareprovidedbyofficialexaminers. 23.Whattypeofwritingisthistext? A.Aguide. B.Areport. C.Anannouncement. D.Anadvertisement.
30分If1ranmybusinessthewayyoupeopleoperateyourschoolsIwouldn'tbeinbusinessverylong!Isaidbeforeagroupofangry41Irepresentedagroupofbusinesspeoplewhowantedto42publicschools.Iwasamanageratanicecreamcompanythatbecame43whenPeoplemagazinechoseourblueberry蓝莓astheBestIceCreaminAmerica. AssoonasI44awomanraisedherhand.Tomysurprisesheappeared45andpleasant.Wearetoldsirthatyou46acompanythatmakesgoodicecream. Ireplied47BesticecreaminAmericaMa'amSirshesaid48youarestandingonyourreceivingdock码头andyouseeaninferior质量差的shipmentofblueberries49whatdoyoudo? ImmediatelyIknewthequestionwasatrapbutIwasn'tgoingto50. Isendthemback. That'sright!sheraisedhervoiceandwecan51sendbackourblueberries.Wetakethembigsmallrichpoorgiftedconfidenthomelessrudeandbrilliant.Wetakethemall!Andthatsiriswhyit'snotan52.It'sschool! Inanexplosionall290teachersjumpedtotheirfeetand53Yeah!Blueberries!Blueberries! Andsobeganmylong54. SincethenIhavevisitedhundredsof55Ihavelearnedthataschoolisnotabusiness.Foronethingareunableto56thequalityoftheirrawmaterial. Yetitdoesn'tdenythe57forchange.Wemustchangehowweteachtogiveallchildrentheopportunitytobecome58.Buteducatorscannotdothis59thesechangescanoccuronlywiththeunderstandingtrustpermissionandactivesupportofthewholesociety.60toimprovepubliceducationmeansmorethanchangingourschoolsitmeanschangingthewholecountry. 41.A.workers B.teachers C.parents D.leaders 42.A.replace B.challenge C.influence D.improve 43.A.rich B.Special C.famous D.busy 44.A.continued B.asked C.finished D.criticized 45.A.polite B.shy C.confident D.honest 46.A.manage B.establish C.buy D.help 47.A.happily B.carefully C.eagerly D.proudly 48.A.when B.because C.although D.until 49.A.leave B.arrive C.disappear D.move 50.A.lie B.stop C.admit D.follow 51.A.ever B.never C.also D.just 52.A.blueberry B.icecream C.business D.receivingdock 53.A.reported B.warned C.doubted D.yelled 54.A.transformation B.research C.explanation D.study 55.A.schools B.companies C.countries D.groups 56.A.change B.notice C.examine D.control 57.A.method B.need C.possibility D.reason 58.A.peaceful B.successful C.thankful D.powerful 59.A﹣silently B.secretly C.alone D.again 60.A.Moreover B.Besides C.However D.Therefore
如图所示样本A和B分别取自两个不同的总体它们的样本平均数分别为样本标准差分别为SASB则
下列函数中最小正周期为π的是
8分Therehasbeenatechnologicalrevolutionwherekindlese﹣booksandvariousonlinereadingappshavetakenovertheworld.Isreadingaprinthookoutofdate?Wellnotexactly. Therearesomanywonderfulfactorsinvolvedwithreadingaprintcopyofthebook.IremembertheexcitementofgoingtothebookstorewithmymomwhenIwasinelementaryschool.ThefeelofsittingdowninthehookstoreandselectingthebooksIwantedtoreadwasjustsomuchfun!Ithinkthatreadingpaperbackbookshasitsowncharmandexcitementthatcannotbereplacedbyanelectronicbook.Holdingthephysicalcopyofthebookinmyhandsandturningovereachpagemakesthereadingexperiencesomuchmorerealandmemorable. Admittedlye﹣booksseemtobemoreconvenientthanprintbooks.Purchasingane﹣bookcantakeplaceinsecondsandthesebooksareoftenpricedlessexpensivelythanprintcopybooks.Withe﹣bookstheremostlikelyisn'tgoingtobeastorageproblemunlessthedevicehasalimitonhowmanybookscanbepurchased.Thenagaininordertoreade﹣booksonemusthaveaparticulardevice﹣tabletiPadKindleorlaptoptoreaditon.Thusanadditionalpaymenthastohemadeinordertoreade﹣bookswhereasreadingprintcopiesdoesnotinvolveanyextradevice. Printbooksneveractuallystoppedleadingthechargeconsideringthate﹣booksaleshavenevermadeupmorethanathirdofallbooksales.Andalthoughtheyrosetothatnumberextremelyquickly﹣AmazononlyintroducedtheKindlein2007﹣themajorityofallhookssoldhasalwaysbeenprint.Therealityisthatthereisabsolutelynoreasonprintande﹣bookscan'tcoexistinthebookmarketbutprinthooksmaycarrytheday. 12.Whatpleasuredoestheauthorhavewhenhereadsprintcopybooks? A.Hedoesn'thavetobuyatabletoriPad. B.Hecangethomeandstayonthecouchtoenjoyreading. C.Hecanenjoyfillinghisshelfwithbooks. D.Hecansitdowninthebookshopandreadwhathelikes. 13.Whatadvantagedoe﹣bookshaveaccordingtothepassage? A.Thereadingexperienceismorereal. B.Thereisnostorageproblematall. C.Purchasingthemtakeslesstime. D.Theyareverypriceless. 14.Whatcanweinferaboutthebookmarket? A.E﹣booksalesmakeupmorethan1/3ofit. B.E﹣booksaleshaveneversurpassedprintbooksales. C.Amazonoccupiesmostofthemarket. D.Printbooksande﹣bookscan'tcoexist. 15.Whatcanbeasuitabletitleforthetext? A.PrintBooksMayOutlastE﹣Books B.BooksChangewiththeTechnology C.E﹣booksAreMoreConvenientthanPrintBooks D.TechnologicalRevolutionisCreatingaReadingRevolution.
10分假定英语课上老师要求同桌之间交换修改短文请你修改你同桌写的以下作文文中共存10处语言错误每句中最多有两处每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^并在其下而写出该加的词. 删除把多余的词用斜线\划掉. 修改在错的词下面画一横线并在其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. Mymathteacherisusedtotakeoffhisovercoatassoonashecomesintotheclassroom.Afterthathewillasksomeoneansweraquestion.Insteadofgivingtheanswerheletussolvetheproblemonhisown.Healwaysexplainsthemethodclearandintroducesmanyapproachtoworkingouttheproblem.Atfirstourclassmathperformancewasbadthanthatoftheotherclass. Howeverwithhishelpwehadovertakenthem.Inadditionhealwayskeepshisword.Heusedtopromiseusasifwecouldperformwellhewouldbuyusadrink.Asaresultweachievedourgoalsandhedidwhichhesaid.
甲乙丙三人随机排成一排乙站在中间的概率是
10分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短文.短文中共有10处错误每句中最多有两处.错误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∧并在此符号下面写出该加的词. 删除把多余的词用斜线\划掉. 修改在错的词下划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. Everyyearmyschoolholdsthesummercamp.I'dlovetakepartinthisactivitysomuchbecauseIcanhavealotoffunswithmyfriends.Lastyearwegotocountryfarmthatweexperiencedadifferentlife.IwassoimpressedbytheclearriveandHueskythere.Theywokeupearlyinthemorningandthenwalkedinthecountryroadtogether.Thecountrysideweresoquietandtheairwassofresh.Ifeltrealpeacefulinmymind.BecauselifetherewassimplesoIlikeditverymuch.Iwassoclosetothenatureandcouldappreciateitsbeauty.
6分Agroupofcollegestudentsishopingtoplaceasatellitepoweredonlybywaterintoanorbitaroudthemoon. ThestudentsarefromCornellUniversityinthestateofNewYork.TheyaretakkingpartinacompeteteamiscalledtheCisLunarExplorers.ThewordcislunarmeansbetweenEatrthandthe﹣moon. Thechallengeissimpletodesignbuildanddeliver flight﹣qualifiedsmallsatellites.NASAofficialsaythesatellitesmustbeabletoperformadvancedoperationsnearandbeyondthemoon. Tenteamsaretakingpartinthecompetition.ButtheCisLunarKxplorersatellitesaretheonlyonesusingwatertopowertheirspaceceraft.Theideaforawater﹣poweredvehiclecamefromMasonPeckwhoworksatCornellUniversity.Hehasalwayswantedtousesomethingotherthanrocketstopushbeyondearth. ThecraftistwoconnectedsatellitesbothshapedliketheEnglishlatterI.Waterisstorelinthelowerpartofthesatellite.Thesunwillseparatethewaterintotwoelementsbydrogenandoxy﹣gen.Whenonecombineshydrogenandoxygenwithaspark火花anexplosionresults.Thispro﹣videsaforwardmovementknownasthrust. AnothercoolthingabouttheCixLunarExplorerishowtheteamisteachingittonavigateitswaythroughspare.Theideaintoropyhowold﹣limesailorsusedthemoonsunandstarstofixtheirposi﹣tionontheoceans.Thesatelliteisequippedwithcameras.ThecameraswilltakepicturesoftheirsunEarthandthemoonandcomparetheirpositionsandtheirsize.BasedonwherethesunmoonandEarthareatanygiventimetheCislunarExplorerswilldothematheroaticstofindtheirposition. 33.WhatdotheCornellstudentsplantodo? A.Placeanearthsatelliteintoorbit. B.MeetthechallengeofjoiningNASA. C.Explorespacebymeansofsatellites. D.Sendupawater﹣poweredmoonsalellite. 34.WhatcanwelearnabouttheCisLunarExplorersatellites? A.Theyareunusual. B.Theyareordinary. C.Theyaresimple. D.Theyareexpensive. 35.HowdotheCisLunarExplorerfindinspirationforguidingtheirspacecraft? A.ByInkingspacepictures. B.Bydoingcomputingtasks. C.Fromtheancientsailors. D.Fromthepositionofthemoceans.
10分ThereisanoldSpanishProverbwhichstatesTomorrowisoftenthebusiestdayoftheweek.1I'dsaytoomany.Ourdreamsshouldnotandcannotwait.Wehavetogoforthemnow!Here'swhy. 1.2 Nobodylikestotalkaboutdeathbuttherealityis﹣everybodyisgoingtodieatonepoint.Noneofusknowthedayorthehour.Thereforetodayisallwehave.Don'tgotoyourgravewithunfulfilleddreams.Makethedecisiontogoaftereverydreambigorsmallrightnow. 2.Theworldiswaitingonyourgift IknowthismaybehardtobelievebuttheworldiswaitingonYOU!YesYOU!3Sureotherpeoplemaybeabletosing.Butthey'llneverbeabletosingexactlylikeyou.Sureotherpeoplecanwritebutthey'llneverbeabletowritefromthesameperspectiveinwhichyouwrite.Don'tdeprivetheworldofyourgift. It'stheoxygenthatweneedtosurvive.Thusitisyourresponsibilitytofigureoutexactlywhatyourgiftisandusetobetteryourlifeandthelivesofthosearoundyou. 3.4 YoucandreamaboutwritingthegreatAmericanplaythatyouwantbutit'snevergoingtohappenunlessyouactuallyputpentopaper.Youcandreamaboutfindingacureforcancerbutitwillneverhappenunlessyouactuallygotoschooltobecomeequippedwiththenecessarytoolstofindthatcure.5Theyrequireyoutogetyourheadoutofthecloudsandactuallydotheworktomakethemhappen.Gettoit! A.Youcan'tletfearwin. B.Tomorrowisnotpromised. C.Inotherwordsdreamsdon'tworkunlessyoudo. D.Possibilitiesyouneverknewexistedarewaitingonyou E.Howmanytimeshaveweputoffourdreamsuntiltomorrow? F.Unlessyoutakethefirststepyourdreamswillnevercometrue. G.Youwerebornintotheworldwithauniquegiftwhichnobodyonthisearthcancopy.
30分MyhusbandBill'sGrandlmawasinanursinghomewhenwemovedhacktoMichiganGrandmahadbeenunabletowalkforquitesometimeandnowhereyesightwasalmost41. 42OvertheyearsGrandmaandIhadmanycardsletters.Iknewhowshe43keepingintouchwithpeople.SinceIhadsome44timebeforeChristmasIdecidedtobeherpersonalsecretary.Asisexpectedshe45agreedwhenIaskedherifshewouldliketosendoutsomeChristmascards. I46severaldifferentkindsofcards.Iknewshehadfriendsandfamilywhoallhaddifferent47.Iwoulddeseribee48thefrontofeachcardbefore49thepoeminside.AfterthinkingitoverGrandmawould50mewhoshethoughtwouldlikeearthcard. AfterawhileI51andInoticedthatwehadseveralnursinghome52inthedoorway.IstartedtonoticeasIreadeachcardtheexpressionontheirfactsandGrandma'sface53.Earthonehadasmallsmileafaraway54intheireyesastheywereseeingthe55inthereminds'eye. IthoughtwhenIwentoverto56theChristmascardsIwouldbedoingGrandmaafavor57itturnedoutthatshedidmeabigfavor.I'llalways58thisspecialmemoryofbringingsomeChrismasjoyand59memoriestoGrandmaandherfellowseniors.ThankstoGrandmaIhadagood60thatI'mpassingontoyou. 41.A.dood B.gone C.nonnal D.watery 42.A.exchanged B.returned C.claimed D.expressed 43.A.escaped B.missed C.regretted D.enjoyed 44.A.light B.limited C.extra D.appointed 45.A.readily B.nearly C.mostly D.narrowly 46.A.madeup B.gaveout C.roundedup D.letout 47.A.concerns B.skills C.istructions D.interests 48.A.inorder B.indetail C.insilence D.inreality 49.A.reading B.confirming C.equipping D.translating 50.A.advise B.tell C.promise D.direct 51.A.brokein B.calledup C.watchedout D.lookedup 52.A.secretaries B.seniors C.workers D.nursers 53.A.too B.though C.anyhow D.yet 54.A.jump B.wave C.look D.Awing 55.A.posters B.flashes C.scenes D.stages 56.A.draw B.do C.presont D.accept 57.A.but B.and C.so D.or 58.A.abandon B.challenge C.mail D.treasure 59.A.painful B.nervous C.pleasant D.merciful 60.A.choice B.comparison C.design D.memory
8分TheCardboardBoxOfficeisaprojectcreatedbyLillyandLeonMackiewhorecentlymovedfromNewZealandtoSydneyAustralia.ThetransferleftthemwithamountainofcardboardboxesandthearrivaloftheirbabysonOrson10monthsagomeanttheirsocialliveswerecompletelyaltered改变.Sothecoupledecidedtotrytomakesomefunofthesituation. Westartedaftercreatingaone﹣offphotowherewewantedtoportraythegeneralmessandsleep﹣deprivation睡眠thatcomeswithbeingnewparentsLillyMackiesaidinanemail.Peopleseemedtoreallyloveitandaskedformore.Wehadalotofweekendsathomeandastockpileofcardboardsowethought‘Whynot?'Itwentfromthere. TheMackiestookthefirstphotosinSeptemberandhaveportrayed14moviessofarincludingtheirversionsofCastAwayorCastababyandJurassicParkorGoo﹣gooGaa﹣gaa﹣rassicPark.EvenStarWarsgetstheMackietreatmentwithOrsonholdingacardboardtubeinplaceofasaber军刀andmomsportingimpressivePrincessLeia﹣likehairbunsHImadeoutofbrownpaperinthephototitledWahWars. Thefamilyusuallycreatesthesetson'SaturdaysandpoststhewhimsicalpicturesontheirblogandFacebookpagewhichhavealmost3000fans.Besidescardboardboxesthephotosfeaturecostumesprops道具andsetscreatedoutofeverydayhouseholditemstoysandthreeindividualsslowlylosingtheirsensetheyjokedontheirblog. Leonachildren'sbookdesigneratalargepublishingcompanyandLillyastay﹣at﹣homemomarebothfilmbuffsandphotographyfans.Thebabyisalsobecomingaconnoisseur鉴赏家ofmoviesandcardboardboxes. Orsonseemstofindthephotoshootsquitefascinatingandenjoysexploringthesets﹣andtearingthingsapart.There'sneveradullmomentforhimonSaturdaynightsLillysaid.Whenhegetsalittleolderwe'11bringinalotmoreofhisinputaskingforhisideasonfilmsandsets.Makeitarealfamilything.Ithinkhemaycomeupwithsomequitefunnythings. 28.TheoriginalreasonwhytheMackiescreatefamilymoviesisthat. A.theywanttoearnagreatdealofmoney B.bothofthemarechildren'sbookdesigners C.theyhavenofriendsintheirnewcommunity D.theywanttomaketheirfamilylifeinteresting 29.WhatdoweknowabouttheMackies'familymovies? A.TheyareusuallymadeonSundays. B.TheyarenotpopularontheInternet. C.Someofthemaremadebasedonfamousfilms. D.Theyaremainlyaboutearlychildhoodeducation. 30.WhichwordisclosestinmeaningtotheunderlinedwordwhimsicalinParagraph4? A.Unusual. B.Valuable. C.Famous. D.Disgusting. 31.What'sthefinalpurposeoftheMackies'makingfamilymovies? A.Toteachaudienceshowtomakefilms. B.Toprovetheirbabyisverybright. C.TodevelopOrson'sskillsinart. D.Tomakethemselves.famous.
设D为△ABC所在平面内一点则
8分WhenviewedfromtheSchuylkillExpresswayinPhiladelphiaSt.John'sChurchpresentsapictureofdignityandgrace.Thisgray﹣stonedbeautysurroundedbyaparkmadeawonderfulsettingfortheweddingmywifeandIattendedinManayunk. AtthechurchIranintoanoldfriend?CasperBarratawhohappenedtobeassignedtotheMass弥撒.Now73Casperwasabrilliantandtalentedsoftballpitcher投手backintheMen'sLeaguesofPhiladelphiainthemid﹣60s.Ididn'trecognizethenowsilver﹣hairedfellowuntilmybrother﹣in﹣lawJohnKaymentionedhisnametome!AfteraverypleasantgreetingandpraisingeachotheronhowgoodtheotherwasatplayingthegamebackthenCasperaskedifIrememberedaletterofencouragementIhadwrittentohimbackin1964.ItappearedthatCasperfellonhardtimespitchingaspitcherssometimesdoandhewasn'1pitchingtoowellforaperiodoftime.Ididn'trecalltheletterbuthesaidYesIstillhaveitandIcontinuetoreaditanytimethingsaren'tgoingtoowell.Hewentontosaythathehadreadthelettermanytimesoverthepast40yearsandthesituationalwaysseemedtoimprove.Iwasspeechless! HecontinuedYoudon'tremember?IsaidSadlynoIdon't.ButIdidaskifIcouldhaveacopyoftheletter.Hesaidhewouldemailittome.AfterCasperfinishedworkatMurphy'sweddingwemetonthestepsofthechurch.Caspercameuptomeandpresentedtheletter.HelivedablockawayfromthechurchandranhometogetitaftertheMass.Theenvelopehadfadedandturnedyellowandsowastheletterinside.Thatletterhadtobenearly50yearsold.Insimpletermstheletterread ThesehardtimesaretemporaryMaintainyourpassionforthegame.Neverquitandyou911bebackontopagainshortly.Hanginthere! CasperBarrataonceagainbecamethebestpitcherintheLeagueandremainedtobeathorninourteam'ssideeverytimehepitchedagainstus. 25.Whydidtheauthorgotothechurch? A.Togetmarried. B.Toholdawedding. C.Toattendawedding. D.TomeethisfriendCasperBarrata. 26.Whatcanbeinferredfromthetext? A.Theauthoroncefellonhardtimespitching. B.TheauthoronceoftenworkedfortheMass. C.Theauthoroncewasgoodatplayingsoftball. D.TheauthoroncetaughtCaspertoplaysoftball. 27.WhatdoestheunderlinedsentenceshowinParagraph2? A.TheauthorwasmovedbyCasper. B.Theauthorwasn'tgoodatspeaking. C.TheauthoradmiredCaspertoomuch. D.Theauthordidn'trecalltheletteratall. 28.WhydidCasperkeeptheletterfordecades? A.Theletterwassentbyhisbestfriend. B.Theletterinspiredhiminhissportcareer. C.Theletterwaswrittenbyasoftballpitcher. D.Theletterhelpedhimrecallsomethinginthepast.
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