工商管理硕士入学考试几何doc.docx
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工商管理硕士入学考试几何doc.docx
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工商管理硕士入学考试几何doc
工商管理硕士入学考试-几何
(总分:
315.00,做题时间:
90分钟)
一、单项选择题(总题数:
63,分数:
315.00)
1.IfthenumberofsquareunitsintheareaofacircleisAandthenumberof1inearunitsinthecircumferenceisC,whatistheradiusofthecircle?
(1)
(分数:
5.00)
A.
B.
C.
D.
E.
2.
Inthefigureabove,acircleisinscribedinasquarewithsidebandasquarewithsideaisinscribedinthecircle.Whatistheareaofthesquarewithsideb?
(1)a=4
(2)Theradiusofthecircleis
(分数:
5.00)
A.
B.
C.
D.
E.
3.Arectanglewithdimensions75inchesby100inchesisdividedinto20smallerrectangles.Ifeachnewrectanglehasequaldimensions,howmanyinchesoflinesareneededtodividetheoriginalrectangle?
(1)Oneofthedimensionsofeachoftherectanglesis15inches.
(2)Oneofthedimensionsofeachoftherectanglesis25inches.
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
4.
(分数:
5.00)
A.
B.
C.
D.
E.
5.
(分数:
5.00)
A.
B.
C.
D.
E.
6.
Ifeachsideof△ACDabovehaslength3andifABhaslength1,whatistheareaofregionBCDF?
(分数:
5.00)
A.
B.
C.
D.
E.
7.
(分数:
5.00)
A.
B.
C.
D.
E.
8.Ifkandωarethedimensionsofarectanglethathasarea42,andifkandωareintegerssuchthatk>ω,whatisthetotalnumberofpossiblevaluesofk?
(分数:
5.00)
A.Two
B.Three
C.Four
D.Five
E.(E)Six
9.
Iftheareaofthecircleaboveis64π,whatisthevalueofk?
(分数:
5.00)
A.
B.
C.
D.
E.
10.
(分数:
5.00)
A.
B.
C.
D.
E.
11.Whatisthevolumeofacertainrectangularsolid?
(1)Twoadjacentfacesofthesolidhaveareas15and24,respectively.
(2)Eachoftwooppositefacesofthesolidhasarea40.
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
12.Intherectangularcoordinatesystem,arethepoints(r,s)and(u,ν)equidistantfromtheorigin?
(1)r+s=1
(2)u=1-randν=1-s
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
13.Awarehousehadasquarefloorwitharea10,000squaremeters.Arectangularadditionwasbuiltalongoneentiresideofthewarehousethatincreasedthefloorareabyon-halfasmuchastheoriginalfloorare-a.Howmanymetersdidtheadditionextendbeyondtheoriginalbuilding?
(分数:
5.00)
A.10
B.20
C.50
D.200
E.(E)500
14.Astraightpipe1yardinlengthwasmarkedoffinfourthsandalsointhirds.Ifthepipewasthencutintoseparatepiecesateachofthesemarkings,whichofthefollowinggivesallthedifferentlengthsofthepieces,infractionsofayard?
(分数:
5.00)
A.
B.
C.
D.
E.
15.Acertaincompanyhasrecordsstoredwitharecord-storagefirmin15-inchby12-inchby10-inchboxes.Theboxesoccupy1.08millioncubicinchesofspace.Ifthecompanypays$0.25perboxpermonthforrecordstorage,whatisthetotalamountthatthecompanypayseachmonthforrecordstorage?
(分数:
5.00)
A.$150
B.$300
C.$600
D.$1,200
E.(E)$2,400
16.
(分数:
5.00)
A.
B.
C.
D.
E.
17.Whatisthelengthinmetersofacertainrectangulargarden?
(1)Thelengthofthegardenis6metersmorethantwicethewidth.
(2)Thelengthofthegardenis4timesthewidth.
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
18.Apyramidal-shapedboxtoprotectaplantisconstructedwith4lateralfacesandanopenbottom.Whatisthelateralareaofthebox?
(1)Thebaseofthepyramidisapolygonwithallsidesofequallength,andtheperimeterofthebaseis1meter.
(2)The1ateralfacesareisoscelestrianglesthathavethesamesizeandshape.
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
19.
(分数:
5.00)
A.
B.
C.
D.
E.
20.
(分数:
5.00)
A.
B.
C.
D.
E.
21.Acircularpegistobeplacedinasquarehole.Whatistheperimeterofthehole?
(1)Theradiusofthepegis4centimeters.
(2)Eachedgeoftheholeistangenttothepeg.
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
22.
(分数:
5.00)
A.
B.
C.
D.
E.
23.Arectangleisdefinedtobe"silver"ifandonlyiftheratioofitslengthtoitswidthis2to1.IfrectangleSissilver,isrectangleRsilver?
(1)RhasthesameareaasS.
(2)TheratioofonesideofRtoonesideofSis2to1.
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
24.
(分数:
5.00)
A.
B.
C.
D.
E.
25.
(分数:
5.00)
A.
B.
C.
D.
E.
26.
Inthefigureabove,RandQarepointsonthex-axis.WhatistheareaofequilateralPQR?
(1)ThecoordinatesofpointPare(6,
(分数:
5.00)
A.
B.
C.
D.
E.
27.
Theshadedregioninthefigureaboverepresentsarectangularframewithlength18inchesandwidth15inches.Theframeenclosesarectangularpicturethathasthesameareaastheframeitself.Ifthelengthandwidthofthepicturehavethesameratioasthelengthandwidthoftheframe,whatisthelengthofthepicture,in-inches?
(分数:
5.00)
A.
B.
C.
D.
E.
28.
(分数:
5.00)
A.
B.
C.
D.
E.
29.
(分数:
5.00)
A.
B.
C.
D.
E.
30.
Theoutlineofasignforanice-creamstoreismadebyplacing
ofthecircumferenceofacirclewithradius2feetontopofanisoscelestrianglewithheight5feet,asshownabove.Whatistheperimeter,infeet,ofthesign?
(分数:
5.00)
A.
B.
C.
D.
E.
31.
Inthefigureabove,squareCDEFhasarea4.Whatistheareaof△ABF?
(分数:
5.00)
A.
B.
C.
D.
E.
32.Inthexy-coordinatesystem,if(a,b)and(a+3,b+k)aretwopointsonthelinedefinedbytheequationx=3y-7,thenk
(分数:
5.00)
A.9
B.3
C.
D.1
E.(E)
33.
(分数:
5.00)
A.
B.
C.
D.
E.
34.Acertainencyclopediahas20volumes,eachofwhichisωincheswide,kincheslongandtinchesthick.Ifallofthevolumesaretobetightlypackagedinonerectangularboxthatiskincheswideandωinchesdeepinside,couldtheinsidelengthoftheboxbelessthan35inches.
(1)t=1.5
(2)ω=9andk=12
(分数:
5.00)
A.条件
(1)充分,但条件
(2)不充分.
B.条件
(2)充分,但条件
(1)不充分.
C.条件
(1)和
(2)单独都不充分,但条件
(1)和条件
(2)联合起来充分.
D.条件
(1)充分,条件
(2)也充分.
E.(E)条件
(1)和条件
(2)单独都不充分,条件
(1)和条件
(2)联合起来也不充分.
35.
(分数:
5.00)
A.
B.
C.
D.
E.
36.
QuadrilateralRSTUshownaboveisasiteplanforaparkinglotinwhichsideRUisparalleltosideSTandRUislongerthanST.Whatistheareaoftheparkinglot?
(1)RU=80meters
(2)TU=
(分数:
5.00)
A.
B.
C.
D.
E.
37.IfthenumberofsquareunitsintheareaofcircleCistwicethenumberoflinearunitsinthecircumferenceofC,whatisthenumberofsquareunitsinthearea?
(分数:
5.00)
A.4
B.8
C.4π
D.8π
E.(E)16π
38.
(分数:
5.00)
A.
B.
C.
D.
E.
39.
(分数:
5.00)
A.
B.
C.
D.
E.
40.
(分数:
5.00)
A.
B.
C.
D.
E.
41.Theinsidedimensionsofarectangularwoodenboxare6inchesby8inchesby10inches.Acylindricalcannisteristobeplacedinsidetheboxsothatitstandsuprightwhentheclosedboxrestsononeofitssixfaces.Ofallsuchcannistersthatcouldbeused,whatistheradius,ininches,oftheonethathasmaximumvolume?
(分数:
5.00)
A.3
B.4
C.5
D.6
E.(E)8
42.Thenumberofdiagonalsofapolygonofnsidesisgivenbytheformula
(分数:
5.00)
A.
B.
C.
D.
E.
43.
(分数:
5.00)
A.
B.
C.
D.
E.
44.
(分数:
5.00)
A.
B.
C.
D.
E.
45.
(分数:
5.00)
A.
B.
C.
D.
E.
46.
Thehexagonalfaceoftheblockshowninthefigureabovehassidesofequallengthandanglesofequalmeasure.Ifeachlateralfaceisrectangular,whatisthearea,insquareinches,ofonelateralface?
(分数:
5.00)
A.
B.
C.
D.
E.
47.
(分数:
5.00)
A.
B.
C.
D.
E.
48.
(分数:
5.00)
A.
B.
C.
D.
E.
49.
(分数:
5.00)
A.
B.
C.
D.
E.
50.
ThefigureaboveshowsthedimensionsofarectangularboardthatistobecutintofouridenticalpiecesbymakingcutsatpointsA,B,andC,asindicated.Ifx=45,whatisthelengthofAB?
(1foot=12inches)
(分数:
5.00)
A.
B.
C.
D.
E.
51.Arectanglewithdimensions24inchesby42inchesistobedividedintosquaresofequalsize.Whichofthefollowingcouldbealengthofasideofthesquares?
(分数:
5.00)
A.4inches
B.6inches
C.7inches
D.8inches
E.(E)10inches
52.
(分数:
5.00)
A.
B.
C.
D.
E.
53.
Accordingtothegraphabove,whenx=3,yismostnearly
(分数:
5.00)
A.
B.
C.
D.
E.
54.
(分数:
5.00)
A.
B.
C.
D.
E.
55.Aladder25feetlongisleaningagainstawallthatisperpendiculartolevelground.Thebottomoftheladderis7feetfromthebaseofthewall.Ifthetopoftheladderslipsdown4feet,howmanyfeetwillthebottomoftheladderslip?
(分数:
5.00)
A.4
B.5
C.8
D.9
E.(E)15
56.Agrocerisstoringsmallcerealboxesinlargecartonsthatmeasure25inchesby42inchesby60inches.Ifthemeasurementofeachsmallcerealboxis7inchesby6inchesby5inches,thenwhatisthemaximumnumberofsmallcerealboxesthatcanbeplacedineachlargecarton?
(分数:
5.00)
A.25
B.210
C.252
D.300
E.(E)420
57.Whatistheperimeterof△PQR?
(1)Themeasuresof∠PQR,∠QRP,and∠RPQarex°,2x°,and3x°,respectively.
(2)Thealtitudeof△PQRfromQtoPR
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