山西省2010年专升本招生考试试题.docx

山西省2010年专升本招生考试试题

第一篇：山西省2010年专升本招生考试试题2010年专升本高代试题一、选择题（4小题）1.向量在基下的坐标2.两向量正交的条件3.实系数多项式因式分解定理4.AB=0，则R（A）+R（B）不超过n二、填空题（4小题）1.g(x)x21,f(x)x32x22x3,求g(x)除f(x)的余式（）2.1(1,0),2(0,1),则由(1,2)到(2,1)的过渡矩阵（）3.A是正交矩阵，则A（）三、证明题（四小题）1.若(f(x),g(x))1,则(f(x),f(x)g(x))(g(x),f(x)g(x))12.①(P1AP)2P1A2P②(P1AP)mP1AmP③P1APA3.证明向量空间的两个子空间的交是子空间。4.是欧几里得空间的一个单位向量，Rn,()k(,),kR，证明：①是线性变换。②求k,使为正交变换。三、计算题（4小题）1.求f(x)x4x3x2x6的有理根.1a11a22.求行列式1a31an2a12a22a32an3a13a23a33anna1na2na3nanx12x2x3x413x17x2x32x423.解方程组4x9x3x31242x5x2xx1234154.在实数域上，矩阵A0003202是否可对角化？若可对角化，求可逆矩阵3C，使CAC为对角形第二篇：山西省二○○五年专升本招生考试试题山西省二○○五年专升本招生考试试题实用英语（003）PartⅠ.Structure(1point×20=20points)Directions:Thispartistotestyourabilitytoconstructgrammaticallycorrectsentences.Itconsistsof2sections.SectionADirections:Inthissection,thereare10incompletesentences.Youarerequiredtocompleteeachonebydecidingonthemostappropriatewordorwordsfromthe4choicesmarkedA,B,CandD.WriteyouranswersontheANSWERSHEET.1.Thisyearthefactoryturned____twiceasmanybicyclesasitdidlastyear.A.downB.offC.toD.out2.Thetaxiis_____inthislittletown,butmostpeopleseemtopreferthebus.A.valuableB.availableC.acceptableD.considerable3.____hadprofessorSmithfinishedhisreportwhenstormyapplausebrokeout.A.scarcelyB.nosoonerC.NeverD.Seldom4.Wedon'tagreewithhisview____thereisnoadvantageinintroducingthenewmethod.A.whichB.thatC.whatD.when5.Thenoisearoundwasterrible,buttheyhadto____itA.putupwithB.keepupwithC.comeupwithD.catchupwith6.Hepreferstoreadbooks____watchTV.A.otherthanB.betterthanC.ratherthanD.morethan7.I'mpleasedwith____youhavetoldme.A.thatB.allthatC.allwhatD.which8.Thepricesoftheproductshavebeen____steadilyinthepastfewyears.A.risenB.raisedC.arisenD.aroused9．Thereisn’t____goodnewsintoday'snewspaper.A.manyB.muchC.littleD.afew10.When____,thenovelwillbecomeoneofthebest-sellersoftheyear.A．publishingB.beingpublishedC.havepublishedD.publishedSectionBDirections:T