2021年青海工程硕士(GCT)考试考前冲刺卷(8).docx
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1、2021年青海工程硕士(GCT)考试考前冲刺卷(8)本卷共分为1大题50小题,作答时间为180分钟,总分100分,60分及格。一、单项选择题(共50题,每题2分。每题的备选项中,只有一个最符合题意) 1.设1,2,s,是线性相关的n维向量组,则_A可由1,2,s线性表示B不可由1,2,s线性表示C若秩r(1,2,s,)=s,则可由1,2,s线性表示D若1,2,s线性无关,则可由1,2,s线性表示 2.若(2x-1)6(2-3x)9=a0x15+a1x14+a15,则a0+a1+a2+a14=_A-1-29B-29C1-29D215 3.A是4阶矩阵,设A=(1,2,3,4),其中向量组2,3,
2、4线性无关,且1=32-23,则齐次线性方程组AX=0_A有非零解,且通解为X=k(1,-3,2,0)T(k为任意实数)B有非零解,且通解为X=k(1,-3,-2)T(k为任意实数)C有非零解,且通解为X=k(1,-2,3,1)T(k为任意实数)D只有零解 4.4名男生2名女生站成一排,要求两名女生不站在两端,则不同排法的种数为_A48B96C144D288 5.设A1,A2,A3为三个独立事件,且P(Ak)=p(k=1,2,3,其中0p1),则这三个事件不全发生的概率是_A(1-p)3B3(1-p)C(1-p)3+3p(1-p)D3p(1-p)2+3p2(1-p) 6.甲花费50000元购买
3、了股票,随后他将这些股票转卖给乙,获利10%,不久乙又将这些股票返卖给甲,但乙损失了10%,最后甲按乙卖给他的价格的9折把这些股票卖掉了,不计交易费,甲在上述股票交易中_A不亏不盈B盈利50元C盈利100元D亏损50元 7.作y=x3的切线,则切线与曲线y=x3及x轴在第一象限围成的面积是_A6.25B8C7.25D6.75 8.甲盒内有红球4只,黑球2只,白球2只;乙盒内有红球5只,黑球3只;丙盒内有黑球2只,白球2只从这三只盒子的任意一只中任取出一只球,它是红球的概率是_A0.5625B0.5C0.45D0.375 9.A是45的矩阵,且A的行向量组线性无关,则正确的有_ (1)ATX=0
4、只有0解; (2)ATAX=0必有非0解; (3)ATAX=b必无解; (4)对于任意四维向量b,AX=b总有无穷多解;A(1)(2)(3)B(1)(2)C(1)(2)(4)D(2)(3)(4) 10.设43矩阵A的秩rA=2,B=,则r(AB)=_(A) 0B1C2D3 11.The car _ halfway for no reason.Abroke offBbroke downCbroke upDbroke out 12.Operations which left patients _ and in need of long periods of recovery time now le
5、ave them feeling relaxed and comfortable.AexhaustedBabandonedCinjuredDdeserted 13.A _ to this problem is expected to be found before long.AresultBresponseCsettlementDsolution 14.The newcomers found it impossible to _ themselves to the climate sufficiently to make permanent homes in the new country.A
6、suitBadaptCregulateDcoordinate 15.If she doesnt tell him the truth now, hell simply keep on asking her until she _.AdoesBhas doneCwill doDwould do 16.The patients health failed to such an extent that he was put into _ care.AtenseBrigidCintensiveDtight 17.He hoped the firm would _ him to the Paris br
7、anch.AexchangeBtransmitCtransferDremove 18.He _ with Smith at least four times in the past three years.Ahas been seen to meetBwas seen to meetChad been seen meetingDis seen meeting 19.No one had told Smith about _ a lecture the following day.Athere beingBthere beCthere would beDthere was 20.Floods c
8、ause billions of dollars worth of property damage _.ArelativelyBactuallyCannuallyDcomparatively 21.Customer: Can I try this dress on, pleaseSaleswoman: _AOf course, try it on in the fitting room, please.BThis dress is on sale for half its regular price.CTry it on, then. You dont need to ask.DSure, t
9、he fitting rooms are next to the stairs. 22.A: Is there any chance of borrowing your typewriterB: _A: Until the end of the week.B: Yes, I think that would be all right.AHow long forBI bet I like it.CI dont think I agree with you.DIm sorry, but Ive got nothing to let. 23.A: Havent we met somewhereB:
10、No, I dont think so.A: Arent you Kevin GrantB: No, my names Greg. Greg Brown.A: _AIve had enough, thank you.BIm sorry, but Ive got nothing to let.COh, Im sorry. I was positive wed met before.DI think otherwis 24.Michael: Hello, may I speak to TerryBob: Im sorry but Terry is not in now. _AGive him a
11、call later.BThis is his colleague.CMay I take a messageDHave you got a word for him 25.A: I wonder whether you could put my friend up for a few daysB: Tell me when.A: Next weekend actually.B: _AIve found it very easy.BWhat are you doing hereCLet me think it over, and Ill tell you later.DIve got an a
12、ppointment at 11. 26.A: This is one of a pair, isnt itB: Yes, madam.A: Well, can I see the other one, pleaseB: _ACertainly, madam, here it is.BFancy meeting you here.CThats right, but you are late.DHow can I help you 27.James: How is your sun burn todayJane: Its much better. The cream you gave me is
13、 of great help.James: _AYou should thank me for that.BI know it will work.CIm glad to hear that.DI got the recipe from my grandm 28.Tom: Hey, it.it must be Susie. How are you, Susie This is Tom. Tom Cook.Susie: Oh, hi, Tom. _AFancy meeting you here.BNice to meet you.CWelcome back.DWhat are you doing
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