设a=(a1,a2,…,an)T,a1≠0,其长度为║a║,又A=aaT,(1)证明A2=║a║2A;(2)证明a是A的一个特征向量,而0是A的n-1重特征值;(3)A能相似于对角阵Λ吗?若能,写出对角阵Λ.

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Passage1

Questions1to5arebasedonthefollowingpassage:

DoyouwanttosaywhatyouthinkinalettertothePresidentoftheUnitedStates?You’llgetareplyfromhim—writteninink,nottyped—afteronlyafewdays.

ThePresidentgetsabout4,000letterseveryweek.HeanswerseveryonewhowritestohimonspecialWhitesHousepaper.Buthedoesn’tneedalotoftimeforit.Infact,heonlygives20minutesaweektolookathispersonalcorrespondence.Hehasthemostmodernsecretaryintheworldtohelphim.

It’scomputer,worth£800,000,whichhasitsownroomsonthefirstflooroftheWhiteHouse.IthasabankofelectronicpenswhichwritelikethePresidentwrites,inhisfavoritelightblueink.EachletterthePresidentreceivesgetsanumber,accordingtothetypeofansweritneeds.Thepensthenwritethecorrectreplyforit,accordingtothenumber.Eachlettertakeslessthanasecondtowrite.AWhiteHouseofficialsaid,“It’snotimportantthatletterscomefromacomputer.EachlettersayswhatthePresidentwantstosay.”

1.forareplyfromthePresident.

A.YouhavetowaitalongtimeB.Youonlyhavetowaitseveraldays

C.YouhavetowaitatleastonemonthD.Youonlyhavetowaitafewweeks

2.ThereplyfromthePresident.

A.isalwaysprintedB.isalwaystyped

C.isalwayswrittenininkD.isalwayswrittenbyhimself

3.Ittakesthecomputertowritetenletters.

A.nomorethantensecondsB.alittlemorethantenseconds

C.lessthantensecondsD.atleastonesecond

4.Thecomputercanbedescribedas.

A.expensivebutefficientB.possessingabeautifulhandwriting

C.heavyandinefficientD.thePresident’smostreliablesecretary

5.Itcanbeinferredfromthepassagethat.

A.thePresidentneverreadsanyletterswrittentohimbyordinarypeople

B.thePresidenthiresaveryefficientsecretarytodealwithhiscorrespondence

C.thePresidentdoesnotreallycareaboutthelettershereceiveseveryweek

D.thePresidentisassuredthatthecomputerexpresshisviewsintheletters

关于枕前位分娩机转,下列哪些不正确?

A、胎儿进入骨盆入口时呈半俯屈状态
B、下降过程贯穿在整个分娩过程之中
C、下降动作呈连续性
D、俯屈动作完成后,胎头以枕额径通过产道

一初产妇,宫缩15小时自娩一3000g女婴,现胎儿娩出已8分钟,胎盘尚未娩出,阴道无流血,此时的处理下列何项不当

A、查看子宫形态
B、经肌肉注射催产素
C、察看外露脐带有否向外伸长
D、牵拉脐带或压迫宫底以了解胎盘是否剥离
E、等待观察有胎盘剥离征象时协助胎盘娩出

Thismountainrangehasmanyhigh_____andfertilevalleys.

A、peaks
B、hills
C、phase
D、pink

PartIVTranslation

Asthesourceofaluminumisalmostinexhaustible,wecanexpectthatmoreandmoreuseswillbefoundforthisversatilemetal.(PassageTwo)

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