第1題

Lookatthefigure,supposethelengthofastreetis1,thentheManhattandistancefrompointAtoBis（）.A5BC4D1第2題A22B1C8D4第3題ForthetwopointsAandB,inthefigurebelow,thedistancebasedonnormbetweenthetwopointsis(

).ABCD3answersabovearewrong第4題Thestragglersaid:Iamgettingcloserandclosertothearmy.Herethedistancebetweenthesoldierandthearmyreferstothedistancebetweenthesoldierandthefurthestpersoninthearmy.

(

)第5題TheremaybeseveralformulasforthedistancefrompointAtopointBontheground.

（）第1題Whichofthefollowingstatementsiscorrectforthedefinitionofstability?

（）

ABCD第2題Awilltendtoinfinity

B

willtendtocCmustbebounded

Dbeuncertain第3題AccordingtoTorricelli’sprinciple,whenanobjectisactedonlybygravity,itsequilibriumstateisstablewhenthecenterofgravityisatthelowestposition.（）第4題Thespeedlimitisusuallyimposedonhighwaysbecauseacanissofastthatitiseasyforpeopleinthecartofeelafraid.

（）第5題BythewaythedominoesaremadebytheBritishphysicistWhitehead,theenergythedominoescreateswilltendtoinfinity,whichcandestroyanything.

(

）ExercisesofChapter3第1題

Theleastsquaremethodaimstoreachtheminimumvalueof()tosolvethe

inconsistent

equations.AResidualsumofsquares

BResidualsumCResidualsumofabsolutevalueD

Maximumresidual第2題Thelogicofapproximateequality

().ADoesnotrecognizethedeviationofmeasurementdata

BPursuitsofasinglegoalCBelievesinmeasurementdatatotally

DTakesthemeasureddataseriously

第3題Themorecarefulyouwanttounderstandobjectivethings,themoremeasurementdatayouneed.(

)第4題Theapproximateequalityequationscanbesolvedbyusingeliminationmethodandsubstitutionmethod.()第5題Leastsquaresareacollectivecorrectiontoasetofdatawitherrors.(

)ExercisesofChapter4第1題ThebaseofestablishmentofthemathematicalmodelforGochessboardisthat（）.AThevalueofthe3rdlineisthesameasthatofthe4thlineBThebalancebetweentheoffenseandthedefenseCToformalivingpatternatthefastestspeed

DNoneoftheaboveanswersiscorrect第2題ABCD第3題Gochessboardwascomposedof19straightlineshorizontallyandverticallysinceitwasinvented.

（）第4題“Ministeropening”inChinesechessimpliesthebalancebetweentheoffenseandthedefenseinthecaseofplayingchess.

（）第5題AlltherootsofacubicequationcanbecalculatedbytheCardanoformula.

（）ExercisesofChapter5第1題ThelawoflargeNumbersstatesthattheprobabilityofaneventhappeningis(

).AThefrequencyofaneventhappening.

B

Infinitelyclosetothefrequencyofaneventhappeningwhenthenumberoftrialsissufficient.CThefrequencyofaneventhappeningwithinanynumberoftrials.

D

Thefrequencyofaneventhappeningwithinalimitednumberoftrials.第2題Whichofthefollowingstatementsisincorrect.(

)AAneventwithaprobabilityof0meansthattheeventwon’thappenforever.BAneventwithaprobabilityof0meansthattheeventisalmostimpossible.CItisveryunlikelythattheeventwithaprobabilityof0wouldhappen.DAneventwithaprobabilityof1meansthatthattheeventalmosthappens.第3題Findinganeedleinahaystack

generallydescribesaneventwithaprobabilityof0.(

)第4題Binomialdistributionisatypeofrandomvariabledistributionwithonlytwopossibleoutcomes.(

)第5題Iftakeyourencounterwithanyoneasarandomtrial,thenyouknowthatitisnotanequalprobability.(

)ExercisesofChapter6第1題Thegoldenratioisequalto().A

0.618

B5?12C0.382

DNone第2題

Therearetwodividingpointsinonesideofafive-pointedcutbytheothertwosides,thentheratioofthelengthofthelongsegmentbyanyofthemandwholesideandis().Asin?18oB0.618C5?12DNone第3題TheNoether’stheoremstatesthateachsymmetryoftheactioncorrespondstoaconservationlawandhasaconservedquantity.()

第4題(1+1n)n

isanirrationalnumberwhenntentstoamanylargenumber.()第5題IntheFibonaccisequence,thesumofthefirsttwoisexactlythevalueofthelatteritem.()ExercisesofChapter7第1題A1B0C3D

Infinitenumber第2題An?rBnCrD1第3題第4題第5題ExercisesofChapter8第1題FindtwonaturalnumbersnandNtomakethefollowingformulabalanced(32)n=(2)Nthenthenumberofequationsolutionsis().AOnesetofsolutions

BTwosetsofsolutionsCInfinitesetofsolutionsDZerosetofsolutions（Nosolution）第2題Fromtheperspectiveofsolvingindeterminatepolynomialequations,comparedwiththediatonicscale(sevenscales),twelve-tonescaleare(

).AMoreaccurate

BGreatererrorCSameerror

DNoneoftheabovethree第3題Aimingatthereminderprobleminthe"SunZiSuanJing",usetheChineseRemainderTheorem,thenwecanget().Aonesetofsolutions

BTwosetsofsolutionsC

Infinitesetofsolution

D0groupsolution(i.e.nosolution)

第4題GeorgeMiller,anAmericanpsychologist,foundthatthecapacitythatpeoplecanrememberthingsatatimeinshort-termmemoryisverylimited–thenumberofitemshumancouldinstantaneouslyperceiveandmemorizeis5.

()第5題The53notesareunacceptabletothegeneralpublic,becauseitisinaccurateinsolvingthetemperamentequation.

(

)ExercisesofChapter9第1題

TheShanghaiInternationalAthleticsGoldGrandPrixisheldin2009，LiuXiang’sscorewas13.15seconds.Accordingtotheslowplayback,Hisactualscorewas13.152seconds,Theaccuratestatementabouttheerroroftheresultis(

).ATheerroris0.002seconds

BTheerroris0.0015secondsCErrorlimitis0.002secondsDTheabovestatementisincorrect第2題ifyoubuya100-square-meterhouse,theareathatthedeveloperfinallydeliveredis5squaremetersless,thenthecorrectoneintheerrordescriptionoftheactualareais(

).Atheabsoluteerroris0.05

BTherelativeerroris0.05

C

theabsoluteerroris-5

squaremeters

DTherelativeerroris-0.05第3題TheteachersofTaizhouHealthSchoolfoundthattheresultofthe33thpowerto2hadanerrorof-3whenhecalculateditwithaCasiocalculator,theCasiocompanytakeitasnormal,becausethe().ATheabsoluteerrorisverysmall

BThecalculationofthecalculatorwillalwayshaveanerrorC

HumanoperationerrorsDTherelativeerrorisverysmall第4題Thevisualillusioncanberesolvedbycorrection,buttheusualmeasurementerrorsinlife(suchasmeasuringheight,etc.)areunavoidable.

()第5題Theerrorofsumisequaltothesumoftherespectiveerrors,andtheerrorofdifferenceisequaltothedifferenceoftherespectiveerrors.

(

)

ExercisesofChapter10第1題ThetotalamountofMatthewshouldpaybackthemoneywithinterestis100×(1+110n)nwhennincreases,itwillbe().A

Onthedecline

BBoundedCNolimits

D

Lessthan100第2題Aun

approachingfromthedirectionlessthanLBun

approachingfromthedirectiongreaterthanLCunapproachingfromthedirectiongreaterthan

L

orlessthan

L

alternativelyDInanyway第3題

Whichofthefollowingstatementsistrue.

(

)AAmonotonicsequencehasalimitBThemonotonicdecreasingsequencewithanupperboundhasalimitCThemonotonicrisingsequencewithalowerboundhasalimitD

Themonotonicrisingsequencewithanupperboundhasalimit第4題Scientists’predictionsabouthumanspeedof100metershavebeenbrokenagainandagain,meaningthattheso-called‘limit’ofthespeedof100metersdoesnotexist!

()第5題ExercisesofChapter11第1題ABCDNoneoftheaboveanswers第2題1.Forthefunctionalmentionedinthevideo,whichofthefollowingstatementsistrue.(

)A

ThefunctionalmapsafunctiontoafunctionBThefunctionalmapsafunctiontoarealnumberCThefunctionalmapsarealnumbertoarealnumberDNoneoftheaboveanswers第3題Thebrachistochroneproblemreferstowhentheparticleisonlyaffectedby