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已知非零向量，，且，用分析法证明：≤．
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高二下学期数学《》真题及答案
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Ⅰ设AB均为n阶非零矩阵且A2+A=0B2+B=0证明λ=-1必是矩阵A与B的特征值Ⅱ若AB=BA=
设A是二阶矩阵α为非零向量但不是A的特征向量且满足A2α+Aα-2α=0．证明A可对角化．
已知非零向量abc满足a+b+c=0向量ab的夹角为120°且|b|=2|a|求向量a与c的夹角
已知n维向量组α1α2αn-1线性无关非零向量β与αii=12n-1正交证明iβ线性无关．
已知非零向量abc满足a＋b＋c＝0向量ab的夹角为120°且|b|＝2|a|则向量a与c的夹角为_
当零部件间功能差别不太大且比较均匀时零部件的数量也不是很多此时宜选择确定价值工程研究对象
百分比分析法
ABC分析法
强制确定法
因素分析法
已知n维列向量α1α2αs非零且两两正交证明α1α2αs线性无关．
已知2维非零向量α不是2阶方阵A的特征向量．证明αAα线性无关
已知非零向量且用分析法证明≤．
已知二维非零向量X不是二阶方阵A的特征向量．证明XAX线性无关
设A是n阶矩阵证明ⅠrA=1的充分必要条件是存在行阶非零列向量αβ使得A=αβTⅡrA=1且trA≠
已知a＞b＞c且a＋b＋c＝0用分析法证明＜.
根据要求证明下列各题1用分析法证明已知非零向量ab且a⊥b求证≤2用反证法证明13不可能是一个等差数
已知ab为非零向量且ab不平行求证向量a＋b与a－b不平行.
设A是二阶矩阵α为非零向量但不是A的特征向量且满足A2α+Aα-2α=0．证明ⅠαAα线性无关ⅡA可
1设A曰均为n阶非零矩阵且A2+A=B2+B=0证明λ=-1必是矩阵A与B的特征值2若AB=BA=0
设A是n阶实矩阵有Aξ=λξATη=μη其中λμ是数且λ≠μξη是n维非零向量证明ηξ正交．
设A是n阶矩阵证明ⅠrA=1的充分必要条件是存在行阶非零列向量αβ使得A=αβTⅡrA=1且trA≠
已知3阶矩阵B为非零向量且B的每一个列向量都是方程组的解 证明|B|=0
设A是二阶矩阵α为非零向量但不是A的特征向量且满足A2α+Aα-6α=0．1.证明αAα线性无关
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假如你是李华.最近美国笔友Peter发来电子邮件说他在汉语学习中遇到了困难感到非常着急.请根据下面的写作提纲给他回复一封电子邮件.内容包括 1同情他的处境2给他提出几点建议3希望他情况好转. 注意1.可以适当增加细节以使行文连贯2.词数100左右. 3.开头和结尾已给出不计入总词数 DearPeter LearningthatyouarehavingahardtimelearningChineseI'mwriting… Sincerelyyours LiHua
WhenIwasthreeyearsoldmyparentsdiscoveredIwastotallydeaf.Afterdiscussingwithdoctorstheymadeadecisiontosendmetoa1school. Iexperiencedgreat2throughoutelementaryschoolbecauseI3withmostofmyschoolworkinorderthatIcouldkeepup.Becauseofmy4IhadtoconstantlyaskeveryoneWhatdidhe/shesay?Classmatesarewarmhearted.5Iworriedthateveryonewouldsoon6repeatingeverythingbacktome.OftenIwasafraidmyclassmateswouldmakefunofmesoI7answeredanyteacher'squestion. Mrs.Jordanmy5thgradeteacherchangedmy8withasimplethreewordphrase.Onemorningsheaskedtheclassaquestion.Ireadherlipsandimmediatelyraisedmyhand.YetIdaren't9it﹣thistimeIknewtheanswer.WhenshecalledonmeIwasnervous.Despitemy10IfeltconfidentbecauseIwas11thatIhadtherightanswer.Itookadeepbreathand12answeredMrs.Jordan'squestion. Iwillnever13whathappenednext.Her14surprisedallofus.Mrs.Jordanenthusiasticallyhitthefloorwithherrightfootandranherrightfingerinafullcircleuntilitpointeddirectlyatme.Withsparkling闪闪发光的eyesandawidesmileshe15THAT'SRIGHTSTEPHEN！ ForthefirsttimeinmyyounglifeIwasaninstantstar.Mypride16inmyheart.My17roselikeneverbefore.Asimplethreewordphrasedeliveredwith18enthusiasmhadtotallychangedmyyounglife. Fromthatdaymygrades19dramatically.My20amongmypeersincreasedandmyoutlookonlifedidacompleteturnabout. 1A.boarding B.normal C.special D.medical 2A.gratitude B.discrimination C.anxiety D.indifference 3A.struggled B.dealt C.trembled D.reacted 4A.curiosity B.bravery C.courage D.disability 5A.Therefore B.besides C.However D.Otherwise 6A.gettiredof B.getshyof C.getashamedof D.getskilfulat 7A.briefly B.eagerly C.narrowly D.rarely 8A.belief B.situation C.environment D.decision 9A.deny B.bear C.judge D.believe 10A.fears B.annoyance C.disadvantage D.embarrassment 11A.astonished B.pleased C.convinced D.excited 12A.nervously B.gladly C.simply D.respectfully 13A.meet B.forget C.expect D.doubt 14A.response B.answer C.abuse D.expression 15A.admitted B.nodded C.cried D.explained 16A.disappeared B.continued C.ended D.burst 17A.honesty B.satisfaction C.firmness D.confidence 18A.innocent B.little C.incredible D.natural 19A.improved B.dropped C.influenced D.slid 20A.strength B.popularity C.honor D.appreciation
StephenWiltshireisafamousartist.Hisdrawings﹣oftendrawnfrommemoryandatgreatspeed﹣aresketched素描onthespotatstreetlevel. StephenwhowasborninLondonin1974didn'tsayawordasasmallchildandfoundithardtorelatetootherpeople.AttheageoffiveStephenwassenttoQueensmillSchoolLondonwhereitsoonbecameapparentthathecommunicatedthroughthelanguageofdrawing.Histeachersencouragedhimtospeakbytakingawayhisartmaterialsforashorttimeeventuallyhesaidhisfirstwords﹣paperandpencil﹣butdidn'tlearntospeakfullyuntiltheageofnine. Stephenloveddrawingandhewasseldomtobefoundwithoutpenandpaper.Oncehetookpartinartcompetitionsnewsofhisgreattalentbegantospread.EarlyfansincludedthelatePrimeMinisterEdwardHeathwhoboughthisdrawingofSalisburyCathedralmadewhenStephenwasjusteight. ButStephencametowiderpublicattentionwhentheBBCfeaturedhimintheprogrammeTheFoolishWiseOnesin1987whenhewasintroducedbySirHughCassonapastpresidentoftheRoyalAcademyasthebestchildartistinBritain. AfterthatStephen'sreputationgrewworldwide.AsecondBBCdocumentaryin2001showedStephenflyingoverLondoninahelicopterandlatercompletingadetaileddrawingofLondonwithinthreehourswhichincluded12historiclandmarks地标性建筑and200otherstructures. In2006StephenwasrecognisedforhisservicestotheartworldwhenhewasmadeamemberoftheOrderoftheBritishEmpire.TodaywhereverStephengoespeopleareattractedbyhisoutstandingtalent. 1WhatproblemdidStephenhavewhenhewasasmallchild? A.Noschoolswantedhim. B.Noteacherslikedhim. C.Hecouldn'tspeak. D.Hecouldn'tspell. 2WhendidStephenbecomeworldfamous? A.AfterhissecondBBCdocumentary. B.AftertheprogrammeTheFoolishWiseOnes. C.AfterhemetwiththelatePrimeMinisterEdwardHeath. D.AfterSirHughCassonboughthisdrawingofSalisburyCathedral. 3WhatisspecialaboutStephen'sdrawingofLondon? A.Itwashisgreatestwork. B.Itwasdrawninahelicopter. C.Itfeaturedhistoriclandmarks. D.Itwasfinishedinashorttime. 4Thetextislikelytoappearin. A.anovel B.abiography C.anofficialreport D.ahistorypaper
VisitChicagoChildren'sMuseum Inbrief Thismuseumoffersplentyoffunhands﹣onactivitiesforkids.HoweverthisisoneofthefewChicagomuseumsnotfunforthewholefamilyasadultsandolderkidswillbeboredtotears. Address700EastGrandAve.NavyPierChicago Phone312﹣527﹣1000 Publictransportation CTAbuslines#29StateStreet#65GrandAvenueand#66ChicagoAvenueallserveNavyPier. Parkingfees •MondaythroughThursday﹩20 •FridaythroughSunday﹩24 •Holidays24 Openinghours •Weekdays10am﹣5pm •Weekends10am﹣8pm Entrancefees •Adults﹩12 •Children﹩12 •Seniors65+﹩11 •Childrenunder5free Activities LocatedatoneofChicago'stoptouristattractionsNavyPierthemuseumoffersthreefloorsofactivitiesforkidsincluding •PlayItSafe﹣﹣allabouthomesafety •InventingLab﹣﹣providespartsandinstructionsforcreatingthings •KidsTown﹣﹣aplayroomrecreatingaChicagoneighborhoodwherekidscanpretendtodothingslikeshoppingforgroceriesanddrivingaCTAbus •ClimbingSchooner﹣﹣athree﹣floorclimbingbuilding •MyMuseum﹣﹣kidsgettocreatevariouspiecesofartthatareallaboutme •Skyline﹣﹣kidslearnaboutskyscrapersanddesigntheirownbuildings •TreeHouseTrails﹣﹣aplayareadesignedlikeaforest •Waterways﹣﹣wateractivitiesshowinghowpumpsanddamswork 1HowmuchwillJohn10hisparents40andsister6payiftheydrivetothemuseumat2pmonMonday? A.﹩36. B.﹩48. C.﹩56. D.﹩68. 2Kidswhoarefondofcreatingworksofartshouldchoose. A.PlayItSafe B.InventingLab C.MyMuseum D.Skyline 3IfyougotoKidsTownyoucan. A.goonashorttriptoaforest B.buysomegiftsforyourfriends C.knowmoreaboutpumpsanddams D.experienceChicagoneighborhoodlife 4WhatcanweknowaboutChicagoChildren'sMuseum? A.Itisathree﹣floorbuilding. B.Itisnotfitforadultsorolderkids. C.ItisthemostpopularmuseuminChicago. D.ItisoneofChicago'stoptouristattractions.
Manylittlekidsdreamofchangingtheworldbuthowdoessomeoneso1makeadifferencetoaplacesobig?This5﹣year﹣oldboyfromtheUKmayhavefounda2. TobyLittleisreachingouttoeverycountrythroughletters.He's3tocontactatleastonepersonfromeachcountry﹣andgeta4.Toby'smission使命beganwitha5assignmentfromschool.HismotherSabineLittlesaid HewasaskedtoreadabookcalledALettertoNewZealandwhich6thejourneyalettertakes.7readingitheaskedMummycanIwritealettertoNewZealand?AndwhileIwasstilltryingto8howtoanswerthathesaidCanIwritealettertothe9world?Atfirstshethoughthis10fortheprojectwould11but239letterslaterTobyisstillgoingstrong.12he'swrittento187countriesandheardbackfrommanyofhiscontacts.ButToby'sprojectwon't13there.The5﹣year﹣oldalsowantstofindawaytohelpthepeoplehe's14with. Whenwestartedwritingletterswe15witheasilyaccessiblefirst﹣worldcountrieshismotheradded.Suddenlywegotan16forSomalia.WhenweresearchedthecountryTobywas17andaskedwhathecoulddotohelp.Togetherwe18acharitywhoseworkwasaccessibletochildren. TobychoseShelterBoxacharitythatprovidesforfamiliesandchildrenwhohave19everythingduetodisasters.JusttodayTobymethis20ofraising﹩950.IwanttheworldtobeabetterplaceTobysaid. 1A.noisy B.small C.lovely D.clever 2A.way B.skill C.friend D.partner 3A.careful B.proud C.satisfied D.determined 4A.result B.story C.permit D.response 5A.reading B.writing C.listening D.speaking 6A.begins B.explains C.describes D.completes 7A.Until B.After C.Before D.Despite 8A.show B.understand C.figureout D.preparefor 9A.free B.new C.other D.whole 10A.support B.concern C.enthusiasm D.sympathy 11A.fade B.spread C.return D.develop 12A.Afterall B.Sofar C.However D.Therefore 13A.end B.pass C.apply D.expand 14A.played B.stayed C.connected D.competed 15A.worked B.negotiated C.kickedoff D.caughtup 16A.idea B.deal C.question D.address 17A.sad B.excited C.happy D.scared 18A.setup B.lookedfor C.headedfor D.droppedinto 19A.requested B.provided C.recorded D.lost 20A.standard B.goal C.challenge D.match
Whatcanmakeyouhappy?Aniceholidayonbeach?Maybeabigmealwithfriendsatanexpensiverestaurant?Orpossiblyspendingmoneyonapairofthelatestdesignerjeans?Allthesepleasurescostmoney.Sodoesthatmeanweneedlotsofcashtofeelgoodordoestheoldsayingmoneycan'tbuyhappinessstillprovetrue? ThissayinghasbeenputtothetestbyresearchersinCanada.Theyfoundthatwhenusedintherightwaymoneycanbringushappiness.Theydiscoveredthatwhenyouusemoneytofreeuptimebypayingsomeonetodoyourworkyouarehappier.Inanexperimentpeoplereportedhigherlifesatisfactioniftheyusedmoneytosavetimeratherthanspenditonmaterialgoodssuchasanewpairofshoes.Butsurprisinglytheresearchersfoundthatonlylessthanathirdofpeopleusedtheirmoneytobuytimeeachmonth. Inourbusylivesweareshortoftime.Peoplegetstressedoverthedailydemandsontheirtime.Psychologistssaythatstressoverlackoftimecauseslowerhappinessandcontributestoanxietyandsleeplessness.Butasincomesarerisingthereisachoicetobuytime. Thiscanbethroughhiringacleanertocleanyourhouse﹣﹣﹣givingusvaluableextrahourstodothethingswewanttodo.Andinmanyforward﹣thinkingcompaniesemployeesaregiventhechancetobuymoretimeoffworkorworkflexibly. Ineverdoubtthatbuyingmoretimemakesmefeelhappierandmorerelaxed.Butputtingtimeinthefirstplaceoverputtingmoneydoescomeataprice.Sometimesthetruthisthatyouhavelesscashtospendonthethingsyounowhavetimetodo.Thenyoumaythinkabouthowtomakeadecision. 1Howdoestheauthormainlyintroducethetopicofthetext? A.Bytellingastory. B.Byusingimagination. C.Byofferingexamples. D.Byraisingquestions. 2WhatisashockinanexperimentcarriedoutbyresearchersinCanada? A.Mostpeoplehadmuchhigherlifesatisfaction. B.Moneycouldbringrealhappinesstopeople. C.Notsomanypeoplespentmoneybuyingtime. D.Moremoneywasspentonmaterialgoods. 3Whatdoestheauthorsuggestpeopledoaboutbuyingtimeatlast? A.Shareitsbenefitswithothers. B.Consideritbeforedeciding. C.Carryitouttogainhappiness. D.Giveitupwhenlackingmoney. 4What'sthebesttitleforthetext? A.CanMoneyMakeUsHappy? B.TimeValuesMoreThanMoney. C.HappinessComesFirstinOurLife. D.ShouldWeSpendMoneyonTime?
每年的10月31日是联合国确定的世界勤俭日.假设你是李华你最近给你在美国的朋友Mike的一封e﹣mail中专门讨论了勤俭的问题.你的e﹣mail内容应包括 1指出校园内中学生花钱如水没有节约的概念. 2分析产生这一现象的原因独生子女生活水平的提高追求时髦 3你对节俭的看法. 注意 1字数110左右. 2开头和结尾已写好不计入总字数. 3参考词汇世界勤俭日WorldThriftDay花销expenditure现象phenomenon奢侈extravagance这个提示不要为好范文中并未用到有了反而增加了难度 DearMike How'severythinggoing? AsyouknowWorldThriftDayfallsonOctober31.SothistimeI'dliketodiscussthriftwithyou.Inrecentyearsthemonthlyexpenditureofmiddleschoolstudentshasbeenonthesharprise.. Howaboutyourpointaboutthrift? Bestwishes! Yoursfaithfully LiHua
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Iwaselevenyearsoldwhenthefirebrokeoutthatyear.IstoodoutsideinjustmyunderwearwhileIwatchedthe1thatIgrewupinrapidlyburntothe2.AfewminutesearlierIhadbeen3asleepinmynicewarmbedwhena4wokemeup.Mymum'sbedroomwasjustnexttomineandmybrother's.Afirehadbrokenoutthereand5her.WhileIstumbled跌跌撞撞地走aroundinthe6anddarknesssheranfromroomtoroomquicklywakingeveryoneinthehouse.Thehousehoweverwasover50yearsoldandmadeofwood.Beforewecoulddoanythingthefire7it.Weallbarely8outsidebeforethe9engulfed吞没everyroom. Istoodthere10whilethefiredestroyedmybooksclothesandtoys.Iwatched11whilemymumcriedandmyDadswore.I12whatwasgoingtohappentous13wehadlostallofourthings.AsIlookedaroundthoughIrealizedsomethingforthefirsttimeThethingsthat14aren'tthings.Irealizedatthatmomentthatwewereallalive.15thatwasessentialhad16thefire.Wewouldallbearoundtoloveeachotherformanyyearstocome.Andthatwasallthatmattered. Istillthinkofthatfireinthe17thathelpedmetobecomewhoIamtoday.Itshowedmefortheveryfirsttimewhatistruly18inthislife.Ithelpedmetolearnthatthelovewe19isfarmoreimportantthanthethingswe20. 1A.room B.house C.floor D.yard 2A.ground B.field C.ashes D.ruins 3A.loud B.quick C.good D.sound 4A.call B.scream C.voice D.noise 5A.caught B.frightened C.awakened D.denied 6A.smoke B.fire C.light D.noise 7A.spared B.possessed C.consumed D.found 8A.gotit B.madeit C.putit D.triedit 9A.flames B.dust C.silence D.fear 10A.nodding B.watching C.trembling D.staring 11A.curiously B.bravely C.peacefully D.helplessly 12A.wandered B.wondered C.fancied D.amazed 13A.nowthat B.enenif C.asif D.sothat 14A.rely B.mind C.matter D.value 15A.Something B.Everything C.Nothing D.Anything 16A.escaped B.saw C.survived D.passed 17A.afternoon B.day C.morning D.night 18A.basic B.reliable C.useless D.essential 19A.share B.protect C.feed D.remember 20A.apply B.aim C.support D.possess
AlthoughtheUnitedKingdomIrelandCanadaAustraliaandNewZealandhaveEnglishasanofficiallanguagetheUnitedStatesdoesnothaveanofficiallanguage.Thisishowit'spossibletobecomeaUScitizenwithoutspeakingEnglish.CanadaalsohasFrenchasanofficiallanguagethoughitismostlyspokenintheprovinceofQuebec.BecausemanyoftheEnglishspeakerswhooriginallyinhabited居住CanadacamefromtheUSthereislittledifferenceintheAmericanandCanadiandialectsofEnglish.SimilarlyAustralianandNewZealandEnglishhavefewdifferencesexceptAustraliawasoriginallysettledasapenalcolony流放地andNewZealandwasnot.BritishcolonialismhasspreadEnglishallovertheworldanditstillholdsprestige影响力inSouthAfricaIndiaandSingaporeamongothernations.InSouthAfricaEnglishbecameanofficiallanguagealongwithAfrikaansand9Africanlanguagesinthe1996constitution__.Howeveronly3%ofthecountry's30millionpeoplearenativeEnglishspeakers.Twentypercentaredescendants后代ofDutchfarmerswhospeakAfrikaansandtherestarenativeAfricans.IndiabecameindependentfromBritainin1947andtheEnglishlanguagewassupposedtobephasedout淘汰by1965.HowevertodayEnglishandHindiaretheofficiallanguages.IndianEnglishischaracterized具有的特征bytreatingmassnounsascountnounsfrequent频繁的useofthe'isn'tit?'taguseofmorecompoundsandadifferentuseofprepositions.InSingaporeChineseMalayandIndianlanguageshaveanimpact影响ontheformofEnglishspoken.EveryoneistaughtEnglishintheschoolsystembutthereareafewdifferencesfromBritishEnglishaswell.Massnounsaretreatedascountnouns'useto'meansusuallyandnoarticles冠词areusedbeforeoccupations职业.1WhycanpeoplebecomeaUScitizenwithoutspeakingEnglish?A.DifferentlanguagesarespokenintheUS.B.TheUSdoesn'thaveanofficiallanguage.C.Theycanspeaktheirownlanguagethere.D.TheycanlearnEnglishthere.2Compared比较withAustralianEnglishtheEnglishspokenbyNewZealanders.A.isclosertoAmericanEnglishB.isakindofoldEnglishC.isverysimilarinmanywaysD.isdifferentfromBritishEnglish3WhatdoweknowaboutSouthAfrica?A.Ithas11differentofficiallanguages.B.Englishisitsonlyofficiallanguage.C.20percentofitspeoplearenativeEnglishspeakers.D.Englishisbecominglessimportantthere.4Whatcanweinferfromthelastparagraph?A.TheIndiansarepoorwithEnglishgrammar.B.SingaporeanEnglishissimilartoIndianEnglish.C.PeopleinSingaporetendto倾向于misusecountnouns.D.EnglishisarequiredsubjectinSingaporeanschools.
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AngelGarciaCrespoisacomputerengineeratCarlosIIIUniversityofMadridinSpain.Hisgrouphasinventedanewwayfordeaf﹣blindpeopletowatchTV.Theideaforthetechnologygrewoutofpreviousworkbyhisgroup.Theteamhadalreadyworkedonmakingaudiovisual视听的materialsaccessibletopeoplewitheithervisionorhearingdisabilities.Butthegroupwantedtohelppeoplewithbothchallenges.Sotheyaskedsomedeaf﹣blindpeoplewhatwouldhelp. Inadditiontorelyingontheirsenseoftouchtocommunicatedeaf﹣blindpeoplecanalsogetandsendinformationwithaBrailleline.TheBraillesystemusespatternsofraiseddotstostandforlettersandnumbers.ABraillelineisanelectronicmachinewithachangeableBrailledisplay.Dotsriseupordropdownbasedontheinformationsenttothemachine. NowthenewsystemchangesTVsignalstodataaBraillelinecanuse.Thekeytothesystemisthepossibilityofusingsubtitles字幕tocollectTVinformationGarciaCrespoexplains.Subtitlestravelwiththeimage影像andtheaudioinelectromagneticwaveswedon'tsee.Butanelectronicsystemcankeepthosewaves. Firstacomputerprogramorapppullsoutthesubtitlesandvisualdescriptionsfromthebroadcastsignal.ThesystemthencombinestheinformationandchangesbothintodataforBraille. Nowanotherappgetstoworkwhichsendsthedataouttopeople'sBraillelinesondemand.ThisisdoneinrealtimeinlessthanasecondGarciaCresposays.Thisletsadeaf﹣blindpersonwatchTVasit'sbroadcast.ThesystemwillworkwithvariousBraillelinesaslongasthere'sabluetoothconnectionavailable.NowthesystemisonlyusedinEuropeanditshouldsoonbeavailableintheUS. 1WhatinspiredGarciaCrespo'sgrouptoworkonthenewtechnology? A.Deaf﹣blindpeople'spoorlife. B.Theirpityonthedisabledpeople. C.Thechallengestheyfaceinwork. D.Theirgroup'spreviousresearch. 2WhycantheelectronicsystemcollectTVinformation? A.Itcancombineallkindsofbroadcastsignals. B.Itcankeepthewaveswithsubtitlestraveling. C.ItcanworktogetherwithavarietyofBraillelines. D.Itcanpulloutthesubtitlesandvisualdescriptions. 3Whatdoestheauthorthinkofthefutureofthenewtechnology? A.Challenging. B.Bright. C.Rewarding. D.Hopeless. 4Whatshouldbeasuitabletitleforthetext? A.NewTechnologyIsImprovingDeaf﹣blindPeople'sLife B.ANewBrailleLineIsAppliedtoDisabledPeople'sLife C.ASpanishGroupMakesTVAccessibletoBlindPeople D.NewTechnologyHelpsDeaf﹣blindPeopleWatchTV
OnourwaybackhomefromChristmastoydriveIaskedTommyifhehadanythingtoshare. Idon't1anythingMomheanswered.We'resopoor. Butyou'reneversopoorthatyouhavenothingto2Isaid. ButhowcouldIhelphimunderstand3Imyselfstillcomplainedaboutthe4thingsIcouldn'tafford? Thenextdayoneofmy5handedmeaChristmasgift﹣﹣aboxofchocolates.Shehadbeen6formonths! ThankyouJoannaIsaidtryingtoholdbackthe7asIhuggedher. Ihadn'texpecteda8﹣﹣Iworkatanadulteducationcenterwherewedealwithpeoplewhostrugglefinancially. LookingatmyChristmasgiftIwonderedifithadbeenanofferingoutofa9foodbudgetandIwantedtorefuseit.10IsaidThankyou. WhenIbroughtthecandieshometo11withmyfamilyItoldthemhow12eachchocolatewasifyouthoughtofhowmuchtheunemployedwoman'sfamilymakesayear.Isaidit13understandingmuchbetterYou'reneversopoorthatyouhavenothingtogive. Perhapsthe14Icouldhelpmysonunderstandwasformetounderstandfirst.15Iwenttomybookshelfandchoseseveralofmyfavorite16tosharewiththecenter.WhenIhadthem17Ifoundmysondraggingabasketoftoyshehadplayedwithwhenyounger.Idon'twantthese18thingshesaid. HehadlearnedthewayIhad﹣﹣by19!HereIhadthoughtIwastheteacherbutastudentistheone20meYou'reneversopoorthatyouhavenothingtogive. 1A.need B.have C.hide D.purchase 2A.afford B.appreciate C.expect D.give 3A.but B.until C.when D.though 4A.expensive B.practical C.delicious D.natural 5A.colleagues B.friends C.students D.relatives 6A.outoftouch B.inpower C.incharge D.outofwork 7A.tears B.anger C.curiosity D.desires 8A.gift B.coincidence C.reward D.hug 9A.tight B.perfect C.actual D.wrong 10A.Otherwise B.Instead C.Besides D.Therefore 11A.study B.deal C.experience D.share 12A.nutritious B.precious C.tasty D.inviting 13A.later B.already C.again D.before 14A.opportunity B.time C.way D.importance 15A.Unwillingly B.Immediately C.Curiously D.Frequently 16A.Clothes B.chocolates C.colors D.novels 17A.weighed B.boxed C.stored D.repaired 18A.frightening B.cheap C.dirty D.old 19A.word B.example C.punishment D.praise 20A.remembering B.helping C.teaching D.loving
Wouldyoumindwritingasofthepassage?About200wordsareOK.
Duringthepast10yearsdomesticviolencehascaughtwiderpublicattentionthankstomoreexposureofcasesinthenewsmediaandonline.KimLeetheAmericanwifeofLiYangapopularEnglishteacherandfounderoftheCrazyEnglishpostedphotosofherswellingforeheadandbruisingkneesontheSinaWeibomicro﹣bloggingserviceinAugust.LeeaccusedherhusbandofbeatingherinfrontofoneoftheirchildrenandfiledaappealfordivorceinOctober. Itisestimatedthatabout25percentofChinesewomenhavebeenabusedbytheirhusbandsverballyandphysically.TheAll﹣ChinaWomen'sFederationandtheNationalBureauofStatisticsreleasedthefigureonOct21followinganationalsurveyof105573peopleaged18andover. WiththegrowthoflegalconsciousnessmoreandmorepeopleareawarethatChinahasaspeciallawtoprotectwomen'srightsandinterests.Howevermostofthevictimscouldnotprovetheabuseincourtduringdivorcehearingsbecauseevidenceisdifficulttoproduce.Expertssaidthatthelegalsystemdoesnotprotectthevictimseffectively.Previouslawsandregulationsconcerningdomesticviolencearedifficulttopractice. That'swhyourfederationiscallingforanationallawspeciallydevotedtocontaindomesticviolencetoclarifydefinitionsoftheoffensesidentifyresponsibilitiesofrelevantdepartmentsandensurethepowerofpunishmentofviolators违法人员.saidZhenYanvice﹣presidentoftheAll﹣ChinaWomen'sFederation. InspiteofthehardshipsKimLeemadeafirmstatementinalettershewrotetoLiYangandalsosenttotheAnti﹣DomesticViolenceNetworkofChinaLawSociety Imayfailtobringyoutojusticeandyourfamemayprotectyoufromconsequencesforyourbadactions. Iwillnotfail…inmymissiontohelpmillionsofChinesewomengainthelegalprotectionthattheydeserve.Evenifyoubeatheritisimpossibletodefeatthewomanwhonevergivesup. 1WhatcanwelearnaboutKimLeefromParagraph1? A.ShewasattackedbyherhusbandontheSinaWeibomicro﹣bloggingservice. B.ShepostedherphotosontheInternetinordertopromoteTheCrazyEnglish. C.ShewasbeatenbyherhusbandwhensheproposedadivorceappealonOctober. D.Shecouldn'tacceptthatherhusbandbeatherinoneoftheirchildren'spresence. 2Accordingtothepassagewhydoesthelegalsystemnotprotectthevictimseffectively? A.Becauseitishardtogettheviolatorsofdomesticviolencepunishedincourt. B.Becauseitiscommonandnormalforahusbandtobeathiswifewhennecessary. C.BecauseChinadoesn'thaveaspeciallawtoprotectwomen'srightsandinterests. D.Becausemostwiveslovetheirhusbandtoomuchandcanputupwitheverything. 3AccordingtoZhenYanwecaninferthat. A.ZhenYanbelievesthatwomeninChinawillhaveabrightfuture B.theAll﹣ChinaWomen'sFederationisthelargestwomen'sorganization C.there'snospeciallawdealingwithdomesticviolenceinthepresentlegalsystem D.theirorganizationisexperiencedwiththecasesconcerningdomesticviolence 4AccordingtoKimLee'slettermentionedinthepassagewecanconcludethat. A.KimLeeistryingtoensurethatherhusbandwillbepunishedbylaw. B.LiYangwillnottakehisresponsibilitybecauseheissofamous C.Awomancan'tbedefeatedbydomesticviolencebutbylove D.KimLeeisdeterminedtomakesurewomenarelegallyprotected
InthefourmonthssinceIlastpostedarticlesonmyblogI'vebeenspendingalotoftimestudyingChinese.IwantedtopasstheHSK.FromthebeginningofmyprogramtheHSKwastheendgoalofmyChineselearningthisyear.LuckilyIpasseditandnowIhaveoneandahalfmonthstogohomeandstaywithmyfamily. It'sreallyexcitingtolearnChineseinanenvironmentwhereIcanstudyveryfast.What'smoreIcanseemyownprogressindifferentways.WhenIgothereeightandahalfmonthsagoIonlyknewafewofthe150wordstestedintheHSK1.HoweveruntilnowI'vetakenandpassedthe2500wordHSK5. IrememberatimearoundJanuary.IthoughtmyChinesehadreachedthepointwhereIwascomfortableinmydaytodayconversations.Somyprogresswouldslowdowngreatly.HoweveritturnedoutthatIwastotallywrong.TheconversationsIcanhavenowfarsurpass超过theonesIwashavinginJanuary. TodayIhitalanguagelearninglandmark里程碑thatwasparticularlyexcitingformeIfinishedreadingHarryPotterandtheSorcerer'sStoneinChinese.Itmightnotseemthatexcitingbutitwasformebecauseit'sthefirstfullbookI'vereadinChinese.Andit'sthethirdlanguageI'vereadHarryPotterin.I'mespeciallyproudbecauseIspentaboutsevenmonthsreadingthefirst35pagesbutinthelastmonthandahalfImanagedtoreadabout150pages.MynextchallengeistoreadanovelwrittenbyaChineseauthorratherthanonethatI'vealreadyreadmanytimesinEnglish! HopefullyI'llbeabletokeepupmylanguagelearningprogressoverthenextmonthandahalfbecauseIknowI'llprobablyneverhaveanotheropportunitytolearnalanguagelikethis. Doyouwanttolearnanewlanguage?Ifyoudogotothecountrywherepeoplespeakitandlearnitfromthelocals. 1WhatdoweknowabouttheauthorwhenshefirstcametoChina? A.Shedidn'twanttolearnChinese. B.ShetooktheHSK1immediately. C.ShewasextremelypooratChinese. D.Shejustknew150wordstestedintheHSK1. 2WhydoestheauthorsayshewastotallywronginParagraph3? A.Becauseshedidn'treallyknowhowtolearnChinese. B.BecauseshecouldlearnbetterinaChineseenvironment. C.Becauseshewasuncomfortableinherdaytodayconversations. D.Becauseshemaderapidprogressinherdaytodayconversations. 3WhatdoestheauthorwanttoshowbymentioningreadingHarryPotter? A.Shecouldreadbooksreallyfast. B.It'sgoodtolearnthroughreading. C.ShelearnedtheChineselanguagequickly. D.TheHarryPotterbooksareworthreading. 4Whatdoestheauthor'sChineselearningexperiencemainlytellus? A.Weshouldlearnalanguagethroughtravelling. B.Learningasecondlanguageisreallyimportant. C.TheChineselanguageisnotsodifficulttolearn. D.Thelanguagelearningenvironmentisimportant.
YuanLongpingisoneofthemostfamousscientistsintheworld.He1struggleforthepastfivedecadesfortheChinesefarmers.Hegrows2iscalledsuperhybridrice.Thisspecialstrainofricemakes3possibletoproduceonethirdmoreofthecropinthesamefields.4usehishybridricefarmersareproducingharveststwiceaslargeasbefore. Findingwaystogrowmorericehasbeenhislifegoalsincehegraduatedfromcollegein1953.Atthattimehungerwas5disturbingprobleminmanypartsofthecountryside.Thereforehewantedtohelphismotherlandridofhunger6increasingthericeoutputwithout7expandtheareaofthefieldsandhefinallymadeit. 8agreatscientistheleadsaverysimplelife.Hebelievesthatapersonwithtoomuchmoneyhasmoreratherthan9fewtroubles.Hehasanotherdream10hisricecanbegrownaroundtheglobeandnohungerisintheworld.
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.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. Sharkshadbeenaroundforaverylongtime.Sharksarefishandthereareover400typesofsharksofthatthebiggestisthegreatwhiteshark.Whentheyhavebabiesthebabiesarecallingpups.Sharkslosetheirteethlikehumansandtheydon'tjustlosetheirbabytooth.Theyloseteeththroughouttheirlives.Whenasharklosingatoothatoothfromanotherrowofteethwillmoveintoitsplace.Newteetharealwaysgrowing.Becausemostsharkseatmeatsotheyfeedotheranimals.Sharksmightlookscarybuttheyarenotusuallydangeroustopeople.Peoplearemoredangeroustosharkssincepeoplehuntsharks.Tobesafelythoughitisagoodideatoleavesharksaloneifyouseeit!
DonnaStricklandisaprofessorintheDepartmentofPhysicsandAstronomy.ProfessorStricklandisoneoftherecipients受领者oftheNobelPrizeinPhysics2018withGérardMourouherPhDsupervisoratthetime.TheypublishedthisNobel﹣winningresearchin1985whenStricklandwasaPhDstudentattheUniversityofRochesterinNewYorkstate.Togethertheypavedthewaytowardthemostintenselaserpulsesevercreated. ProfessorDonnaStricklandisonlythethirdwomanevertohavewonaNobelPrizeinphysics.SheandherfellowwinnerswerehonoredforwhattheNobelCommitteecalledground﹣breakinginventionsinlaserphysics.ProfessorStricklanddevisedawaytouselasersasveryprecisedrillingorcuttingtools.Millionsofeyeoperationsareperformedeveryyearwiththesesharpestoflaserbeams. ﹣﹣﹣Howsurprisingdoyouthinkitisthatyou'rethethirdwomantowinthisprize? ﹣﹣﹣Wellthatissurprisingisn'tit?Ithinkthat'sthestoryofMariathatpeoplewanttotalkabout﹣﹣﹣thatwhyshouldittake60years?Therearesomanywomenouttheredoingfantasticresearchsowhydoesittakesolongtogetrecognized? Physicsstillhasoneofthelargestgendergapsinscience.Onerecentstudyconcludedthatatthecurrentratesitwouldbemorethantwocenturiesuntiltherewereequalnumbersofseniormaleandfemaleresearchersinthefield. ThelastwomantowinaphysicsNobelwasGerman﹣bornMariaGoeppert﹣Mayerforherdiscoveriesaboutthenucleiofatoms.BeforethatitwasMarieCuriewhosharedthe1903prizewithherhusbandPierre.Thisyear'swinnershopethatbreakingthishalfcenturyhiatuswillmeanthefocusinfuturewillbeontheresearchratherthanthegenderoftheresearcher. 1Whichofthefollowingbestexplainsground﹣breakingunderlinedinParagraph2? A.active B.talented C.creative D.awesome 2WhatdoweknowaboutProfessorStrickland'sachievement? A.Shecreatedthemostintenselaserpulsesbyherself. B.Sheadvocatedequalitybetweenmanandwomen. C.Shediscoveredthenucleiofatomswithherhusband. D.Sheinventedawayofusinglasersasaccuratecuttingtools. 3WhenwasthesecondNobelPrizeinphysicsawardedtowoman? A.in1963 B.in1985 C.in1903 D.in1958 4Whatcanbeinferredfromthestatementsinparagraph4? A.Woman'sachievementsinphysicsareasgreatasman's. B.Woman'sachievementsinphysicsaremoreandmorefantastic. C.Maria'sdiscoveriesresultedfromherlongtimeresearch. D.Genderdiscriminationstillexistsinthefieldofscienceresearch.
HowCanIFightLaziness? Lazypeoplewillnevergainanythinginlife.Howeverlazinesscanbedefeatedonceafewchangeshavebeenmadeinyourmind. 1Manypeoplelacksleepconstantlysincetheystayuptoolateandgetuptooearlytoprepareforwork.Thesepeoplehavelittlemotivationoncetheyarrivehome.Lazinessworkshandinhandwithalackofmotivationandatendencytoputoffthings.Byadjustingyoursleepscheduletoprovideafewmorehoursofmeaningfulrestyoucanfightlazinessthroughouttheday. Anotherwaytofightlazinessistochangeyourmindfrompassivetoactive.Somepeopletreattheirlivesasiftheywerepushedfromtasktotask.Otherstakeamorepositiveapproachviewingeachtaskasachallengetheymustovercomealone.2 Somepeoplefightlazinessbyremovingthetemptations__thatsurroundthem.AtelevisioninthelivingroommayprovideentertainmentbutwatchingtoomuchTVoftencontributestolaziness.3Completeafewtasksandrewardyourselfwithwhatyouenjoysuchasagooddinnerorafilm. Lazinesscanalsobealastingproblemathome.Couplesandchildrenmayallhavedifferentenergylevelsbutlazinesscanbespreadifnotdealtwithimmediately.4Bethefirsttocollectandwashdishesafterameal.Othersinthehomemayeventuallyfollowyourexampleandperformtheirowntask.Itisdifficulttopracticelazinesswhenyouaresurroundedbymotivatedpeople. 5Enoughexerciseandabalanceddietcanhelpyoutodevelopahealthylifestylethusenablingyoutohavemoreenergyandhelpliftyourspirits. A.Tofightfamilylazinesssetanexample. B.Knowinghowtofightlazinessisimportant. C.Onewaytofightlazinessistogetenoughsleep. D.Finallytakingexerciseregularlycanhelpyoufightlaziness. E.Withstrongdeterminationyouwillbeabletoachieveyourgoal. F.Lazinessappearswhenyounolongerfeelinchargeofyourownmind. G.Createarewardsystemforyourselfjustasparentsdoforachild.
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.作文中共有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. Ialwayswantedtobegreatscientist.Ihadthesedreamsofdiscoveringanewdrugthatwouldsavethelifeofhundredsofpeople.UnfortunateIwasneververygoodatchemistryatschoolandtheteacherusedtogettingveryangrywithme.AfterawhileIdecidedIwouldbecomeaninventoranddesignedanonlyproductwhichwouldbecomeahouseholdname.Myparentswerequiteencouragedbuttoldmetobealittlemorerealistic.AfewweekslateIhadacleverideaforapenthatwouldwritewithupsidedown.Tomydisappointmentafriendofmepointedoutitwasnotanewdiscovery.
Anoutbreakoffireoranaccidentisan突发事件.
Chineseproverbsarerichandtheyarestillwidelyused1Chinesepeople'sdailylife.Behindtheseproverbsthereareofteninteresting2story.Forexampletheproverbpluckingupacroptohelpitgrowis3baseonthefollowingstory. Itissaid4ashort﹣temperedmaninthestateofSongwasveryanxious5helphisricecropsgrowupquickly.Hewasthinkingaboutitdayandnight.Butthecropsweregrowingmuchslowerthanheexpected. Onedayhecameupwithanideathathewouldpluckupallof6hecropsafewinches.Hedidsothenextday. Hewasverytiredafterfinishingdoingthisforawholeday7hefeltveryhappysincethecropsdidgrow8high. Hissonheardaboutthisandwenttoseethecrops.9unfortunatetheleavesofthecropsbegantowither枯萎. Thisproverbtellsusthatweshouldletthingsgointheirnaturalcourse.Beinganxioustohelpaneventdevelopoften10resultinthecontrarytoourintention.
如图a∥b点B在直线b上且AB⊥BC∠1＝35°那么∠2＝
There'sagoodchancesomethingyou'veboughtonlinehasbeeninthehandsofapickerfirst.Thesearetheworkersinwarehouses仓库whopickpackandshipallthosethingswe'reordering. AtAmazonandothercompaniesthey'reworkingsidebysidewithrobots.Expertssaywhiletherobotsarereplacingsomehumanworkersthemachinesaren'tquitereadytotakeovercompletely. Whenarobotfindsitsstorageunititslidesunderneathliftsitupandthendeliversittoaworker一they'recalledpickers.Onarecentdaythecomputertoldapickertograbwhatlookedlikeafantasyboard棋盘game.Thepickerfounditcanneditandplaceditontheconveyorbelt. Inatraditionalfulfillmentcenterwheretheassociatewouldwalktothedifferentitemsitcantakehourstofulfillacustomerorder.Robinsonsays. Nowwiththehelpofrobotsthattasktakesminutes一andfewerhumans. Soisthisasignwe'reenteringanewindustrialrevolution? It'sdefinitelygoingtotakeoveralotofjobs.saysKarenMyersascientistatSRIoneofSiliconValley'soldestresearchcenters. Atthesametimeshesayswe'rerunningagainstthelimitsoftechnology.TakethepickerattheAmazonfulfillmentcenter.Myerssaysthoseskillsareprovingtobeuniquelyhuman. Ourfingersareincrediblyflexibleandthecurrentgenerationofroboticoperatorsthey'regettingmuchmuchbettershesays.Butthey'rejustnotquitethereyet. There'salsotherobot'sbrain. RememberthatboardgametheAmazonworkerwaslookingfor?Shecouldbarelyseetheboxfilledintothestoragebin﹣butshecouldtellitwasaboardgame.Robotscan'tdothat. Technologistssaythatincreasinglyhumanswillworksidebysidewithrobots﹣insteadofrobotsworkingalone. AmazonsaysrobotsandhumansenabledtheTracywarehousetofulfillcustomerordersfaster.Thatmeansmorecustomersandmorehumanworkers. 1Apickerdoessometasksexcept. A.pickinggoods B.producinggoods C.spottinggoods D.packinggoods 2Withthehelpofrobotssometasksare. A.moreefficient B.lessstraight C.moredifficult D.lessprofitable 3Comparedwithrobotshumansaremore. A.powerful B.artificial C.flexible D.energetic 4Whatisthebesttitleforthetext? A.Robotsreplacinghumanscompletely. B.Theadvantagesofshoppingonline. C.Thefutureofrobots. D.Robotsandhumansworkingsidebyside.
假定英语课上老师要求同桌之间交换修改作文请你修改同桌写的以下作文.文中共有10处语言错误每句中最多有两处.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∧并在其下面写出该加的词. 删减把多余的词用斜线\划掉. 修改在错词下面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. WhenIwasveryyoungmyparentsteachmethevalueofwritingthank﹣younotes.WhenevertheyaskedmetoIwouldrollmyeyesandwriteitafterbirthdaysandsomefestivalsunwilling.OnlyaftermygrandmotherpassedawayIrealizetheirimpact.MymomandIhadthetaskofcleanmygrandmother'shouse.IopenedadrawerinherbedsidetablewhichIfoundabeautifulwoodenbox.IopeneditbutwasshockedtoseeeverycardIhadeverwrittentoher.Theimpactofamomentstayedwithmeallmylife.WhenIhadchildrentheylearnedfromthevalueofwritingthank﹣younotesandstilldosoevenasgrownadult.
Howoftendoyouexercise?Anewstudyfoundthatmostkidsaged12to15weren'tgettingenoughphysicalactivity.Theresultswerebasedonabout800kids.Aspartofthestudythekidstrackedandreportedontheirownactivitylevelsandtookphysicalexams. U.S.fitnessguidelinessuggestanhourormoreofphysicalactivityeveryday.Accordingtothestudyonly1in4U.S.kidsgetenoughphysicalactivity. It'scertainlyworryingtoseethatourkidshavesuchalimitedamountofphysicalactivityeachdaysaidDr.StephenPont.Heisanexpertonchildren'shealth. Fewkidsinthestudymettheguidelinesonphysicalactivitythatraisestheheartrateandmakespeoplebreatheharder.Overallabout25%saidtheygotanhourofthatkindofexerciseeveryday.Kidsalsoreportedonwhichactivitiestheydidmostoftenoutsideofschoolgymclass﹣﹣basketballforboysandrunningforgirls. Thestudyfoundthatfatteenagerswerelessactivethannormal﹣weightgirlsandboys.Fatgirlswereslightlylessactivethannormal﹣weightgirlsbutlevelsweresimilaramongoverweightandnormal﹣weightboys.Thestudyalsosaidthatthepercentoffatchildrenaged2to19was17%orabout12.5millionkids. There'salwaysroomforimprovementsaidTalaFakhouriwhowastheleaderofthestudy.ShealsosaidtheresultsprovideusefulinformationtohelpwithfitnesscampaignssuchasLet'sMovewhichwasinitiatedbyMichelleObamain2010.ToinspirekidstoeatrightandgetinshapeMichellevisitsschoolsandholdsexerciseevents.Shealsocallsonschoolstoofferregulargymclasses. Thestudyalsofoundkidswhogetphysicaleducationatschoolmaygetbettergrades. 1Whatistheresultofthenewstudy? A.800kidsdon'tgetenoughphysicalactivity. B.MostU.S.kidsdon'tgetenoughexercise. C.Kidsshouldgetphysicalactivityeveryday. D.It'simportanttotakephysicalexams. 2Whichofthefollowingsportsdogirlslikebest? A.Swimming. B.Basketball. C.Running. D.Gym. 3What'sthepurposeofthecampaignLet'sMove? A.Tohelpkidstokeepfit. B.Toprovideusefulinformation. C.Toofferregulargymclasses. D.Toholdexerciseevents. 4Accordingtothestudychildrenwithenoughexercisemay. A.belessactivethanfatchildren B.bemorewillingtohelpothers C.dobetterintheirstudies D.trytheirbesttogetinshape
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. DisappointingattheresultoftheexaminationIsatonthesofainsilentafterschool.MyfatherhefoundIwassounhappycometoaskmewhy.Afterlearningthereasonmyfathergavemeasmile.HesaidDon'tallowtheterriblythingsinyourlifetodiscountthepositiveones.Don'tletabaddayormonthoryeartomakeyoufeellikeyouhaveabadlifeinsteadfocusingoneverythingthat'sgoingwrongstartholdingontoallofthethingsthatisgoingright.You'llfeelbettersoon.HeardwhatmyfathersaidIfeltittheshametoactlikethatanddecidedtocheermyselfup.
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