数学史期末题目及答案

数学史期末题目及答案

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时间:2019-02-15

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1、数学史期末题目及答案One,fill—in—the-blanks:OneoftheearliestmathematicalworksinancientChinaisthezhoubisutra・ThefirstcountryorregiontouseabitvaluesystemwasBabylon.ThedingpeakperiodofclassicalChinesemathematicswasthesongandyuanperiod.AncientEgypt,smathematicalknowledgeisof

2、tenrememberedinpapyrus・In2000,thedebateoverEuclideangeometrywastheresultofthenon-euclideangeometry.TheancientGreekmathematicalschoolwasthePythagoreanschool.TheancientChineseclassicsthatrecordedthePythagoreantheoremwere〃thezhoubichengjing〃・Themasterpieceofzucho

3、ngzhiis〃theartof〃・9,isthetenbooktenbooksistheweekoftimeisthe"、"ninechapterarithmetic^,〃theislandisthe","thebuildingistheZhangQiu〃,zzMrXiahouYangisthe",气hefiveclassicsarithmetic^,^collectionofancientisthe","composetechnique〃・Thequestionofsuntzuis:whatisthenumbe

4、rofthethree,three,three,three,five,five,three,seven,seven,seven?Theshortanswer:DescribethelifeofArchimedes,theauthorofthebook,andthemainachievementsinmathematics・A::Archimedeslifetime:hewasborninSicilySyracuse,earlyonceinAlexandriawithEuclideanprotegestudy,alt

5、houghlaterleftAlexander,butstillmaintainedclosecontactwiththen,manyofhisachievementsareallthroughthecommunicationwithAlexanderscholarsandpreserved,asaresult,ArchimedesisoftenasthememberofasectofAlexander・Herepresentsthe:measurementofthecirclequadratureofthepar

6、abola〃onspiral"thetheoryofballsandcolumns〃onPiZhuicurveandrotationellipsoid"theleadsetinthemethodsofdealingwithmechanical"onthebalanceoftheplanefigureoritscenterofgravityz,"onfloatingbody"thesandcountingtheproblemofthecattleArethemainachievementsinmathematics:

7、thebalanceoftheArchimedeslawembodiesthebasictrainofthoughtofthemodernintegralmethodandArchimedesusedittosolveaseriesofgeometricareacomputationproblem・Theexhaustionmethodprovidesastrictproofoftheareaandvolumeoftheequilibriummethod・Putforwardtheprincipleoflevera

8、geandfindbuoyancy.Thispaperbrieflyintroducesliuhui'smainmathematicalachievements,themaincontentof"ninechaptersofarithmetic"andthesignificanceinthehistoryofChinesemathematics・Answer

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