gre考試題型及答案

一、單項(xiàng)選擇題（每題2分，共10題）1.Whichofthefollowingisaprimenumber?(A)4(B)9(C)11(D)15答案：C2.If\(x+3=7\),then\(x=\)(A)2(B)3(C)4(D)5答案：C3.Theareaofasquarewithsidelength\(a\)is(A)\(2a\)(B)\(a^2\)(C)\(4a\)(D)\(\sqrt{a}\)答案：B4.Whichisthesmallestpositiveinteger?(A)0(B)1(C)-1(D)2答案：B5.Atrianglehasangles\(30^{\circ}\),\(60^{\circ}\)and\(x^{\circ}\),then\(x=\)(A)\(80^{\circ}\)(B)\(90^{\circ}\)(C)\(100^{\circ}\)(D)\(110^{\circ}\)答案：B6.If\(y=2x+1\)and\(x=3\),then\(y=\)(A)7(B)8(C)9(D)10答案：A7.Whatisthesumoftheinterioranglesofahexagon?(A)\(360^{\circ}\)(B)\(540^{\circ}\)(C)\(720^{\circ}\)(D)\(900^{\circ}\)答案：C8.Whichofthefollowingfractionsisthelargest?(A)\(\frac{1}{2}\)(B)\(\frac{2}{3}\)(C)\(\frac{3}{4}\)(D)\(\frac{4}{5}\)答案：D9.If\(a=5\)and\(b=-3\),then\(a-b=\)(A)2(B)8(C)-2(D)-8答案：B10.Theperimeterofarectanglewithlength\(l=6\)andwidth\(w=4\)is(A)10(B)20(C)30(D)40答案：B二、多項(xiàng)選擇題（每題2分，共10題）1.Whichofthefollowingnumbersaredivisibleby3?(A)9(B)12(C)15(D)18答案：A、B、C、D2.Whichofthefollowingaregeometricshapes?(A)Circle(B)Square(C)Triangle(D)Rectangle答案：A、B、C、D3.Whichofthefollowingequationsarelinearequations?(A)\(y=3x+1\)(B)\(y^{2}=x\)(C)\(2x+3y=6\)(D)\(x=\frac{1}{y}\)答案：A、C4.Whichofthefollowingareevennumbers?(A)2(B)4(C)6(D)8答案：A、B、C、D5.Whichofthefollowingaremeasuresofcentraltendency?(A)Mean(B)Median(C)Mode(D)Range答案：A、B、C6.Whichofthefollowingcanbethelengthsofthesidesofatriangle?(A)3,4,5(B)5,12,13(C)1,2,3(D)4,4,4答案：A、B、D7.Whichofthefollowingexpressionsrepresentquadraticfunctions?(A)\(y=x^{2}+2x+1\)(B)\(y=3x-1\)(C)\(y=(x-1)(x+2)\)(D)\(y=\frac{1}{x^{2}}\)答案：A、C8.Whichofthefollowingaretypesofangles?(A)Acuteangle(B)Rightangle(C)Obtuseangle(D)Straightangle答案：A、B、C、D9.Whichofthefollowingareintegers?(A)-2(B)0(C)1(D)\(\frac{1}{2}\)答案：A、B、C10.Whichofthefollowingarerationalnumbers?(A)\(\frac{1}{3}\)(B)0.5(C)\(\sqrt{4}\)(D)\(\pi\)答案：A、B、C三、判斷題（每題2分，共10題）1.Thenumber0isapositivenumber.(True/False)答案：False2.Arectanglehasallsidesequal.(True/False)答案：False3.Thesumoftwooddnumbersisalwaysanoddnumber.(True/False)答案：False4.\(x^{2}>x\)forall\(x>0\).(True/False)答案：False5.Acirclehasnosides.(True/False)答案：True6.Allprimenumbersareoddnumbers.(True/False)答案：False7.Theproductoftwonegativenumbersisapositivenumber.(True/False)答案：True8.Atrianglewithangles\(45^{\circ}\),\(45^{\circ}\)and\(90^{\circ}\)isanequilateraltriangle.(True/False)答案：False9.Thesquarerootof16is4.(True/False)答案：True10.Afractionisalwaysarationalnumber.(True/False)答案：True四、簡(jiǎn)答題（每題5分，共4題）1.Whatisthedifferencebetweenarationalnumberandanirrationalnumber?答案：Arationalnumbercanbeexpressedasafraction\(\frac{p}{q}\)where\(p\)and\(q\)areintegersand\(q\neq0\),whileanirrationalnumbercannotbeexpressedasafraction,suchas\(\pi\)or\(\sqrt{2}\).2.Explainhowtofindtheareaofatriangle.答案：Theareaofatriangleisgivenbytheformula\(A=\frac{1}{2}bh\)where\(b\)isthebaseofthetriangleand\(h\)istheheightperpendiculartothebase.3.Whatarethepropertiesofaparallelogram?答案：Aparallelogramhasoppositesidesthatareparallelandequalinlength,andoppositeanglesareequal.4.Howdoyoufindtheslopeofalinegiventwopoints\((x_{1},y_{1})\)and\((x_{2},y_{2})\)?答案：Theslope\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)五、討論題（每題5分，共4題）1.DiscusstheimportanceofthePythagoreantheoremingeometry.答案：ThePythagoreantheoremiscrucialingeometryasithelpsinfindingthelengthsofsidesinrighttriangles.Ithasapplicationsinarchitecture,engineering,andmanyfieldswhereright-angledshapesareinvolved.2.Explainwhythesumoftheinterioranglesofapolygonis\((n-2)\times180^{\circ}\)where\(n\)isthenumberofsidesofthepolygon.答案：Bydividingapolygonintotriangles,thenumberoftrianglesformedis\(n-2\)andsincethesumofanglesinatriangleis\(180^{\circ}\),thesumofinterioranglesofapolygonis\((n-2)\times180^{\circ}\).3.Discusshowfunctionsareusedinreal-lifesituations.答案：Functionsareusedinvariousreal-lifesituationslikecalculatingcostsinbusiness(costasafunctionofquantity),predictingpopulationgrowthovertime,andmodelingthemotionofobjects.4.Explainthe