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1、淺談數(shù)形結(jié)合思想在教學(xué)中的應(yīng)用木科生畢業(yè)論文(設(shè)計)題LI:淺談數(shù)形結(jié)合思想在教學(xué)屮的應(yīng)川學(xué)號:0707140154姓名:汪洋專業(yè):數(shù)學(xué)與應(yīng)用數(shù)學(xué)年級:07級一班系別:數(shù)學(xué)系完成口期:2010年10月指導(dǎo)教師:河南教育學(xué)院木科畢業(yè)論文(設(shè)計)淺談數(shù)形結(jié)合思想在教學(xué)中的應(yīng)用汪洋(合肥師范學(xué)院數(shù)學(xué)系)摘要數(shù)形結(jié)合就是把問題的數(shù)量關(guān)系和空間形式結(jié)合起來考察,根據(jù)解決問題的需耍,可以把數(shù)量關(guān)系的問題轉(zhuǎn)化為圖形的性質(zhì)問題去討論,或者把圖形的性質(zhì)問題轉(zhuǎn)化為數(shù)量關(guān)系的問題來研究,簡言Z“數(shù)形相互取長補(bǔ)短”。數(shù)形結(jié)合作為一種常見的數(shù)學(xué)方法,溝通了代數(shù)、三角與兒何的內(nèi)
2、在聯(lián)系。一方面,借助于圖形的性質(zhì)可以將許多抽象的數(shù)學(xué)概念和數(shù)量關(guān)系形象化、簡單化,給人以直覺的啟示。另一方而,將圖形問題轉(zhuǎn)化為代數(shù)問題,以獲得精確的結(jié)論。因此,數(shù)形結(jié)合不應(yīng)僅僅作為一種解題方法,而應(yīng)作為-?種十分垂要的數(shù)學(xué)思想方法,它可以拓寬學(xué)生的解題思路,提高他們的解題能力,將它作為知識轉(zhuǎn)化為能力的“橋”。關(guān)鍵詞:數(shù)形結(jié)合思想;直觀;數(shù)學(xué)教學(xué);應(yīng)用Discussesthenumbershapeunionthoughtshallowlyintheteaching1河南教育學(xué)院本科畢業(yè)論文(設(shè)計)applicationWangyang(Departme
3、ntofMathematics,HefeiNormalUniversity)ABSTRACTCountstheshapeunionisunifyingthequestionstoichiometricrelationandthespaceformtoinspect,accordingtosolvingthequestionneed,wecantransformthestoichiometricrelationquestionforthegraphnaturequestiondiscusses,ortransformthegraphnatureques
4、tionforthestoichiometricrelationquestionstudies,“thenumbershapemakesupforone'sdeficiencyby1earningfromothersstrongpointsmutuallyinshort”.Countstheshapeunionasonecommonmathematicalmethod,hascommunicatedthealgebra,thetriangleandthegeometryinnerlink?Ononehand,withtheaidinthegraphn
5、aturemaymakemanyabstractmathematicsconceptsandthestoichiometricrelationvisualizationandsimplifiedtion,forthehumanbytheintuitionenlightenment.Ontheotherhand,transformingthegraphquestionasthealgebraquestion,obtainsthepreciseconclusion?Therefore,countstheshapeunionnottotakeoneprob
6、lemsolvingmethodmerely,butshouldtakeoneveryimportantmathematicsthinkingmethod,itmayexpandstudents'problemsolvingmentality,sharpenstheirproblemsolvingability,takestheknowledgeittotransformasability“thebridge”.Keywords:Countstheshapeunionthought,Intuitively,Mathematicsteaching,Ap
7、plicationH錄刖止””””””””332河南教育學(xué)院木科畢業(yè)論文(設(shè)計)(一)血4:門丨訶迪i””””””””””””””””””””””””°(二)角車MlInJ°(三)解決萬不主與不'宇式的冋(四)解決?角函冋””””””””””””””””””””””””””8(五)縊軍f生戈UIn]””””””””””””””””””””””””””””””9(六)角車(歹llInJ””””””””””””””””””””””””””””””1°(七)解決解析幾何問題””””””””””””””””””””””””””””””10三、結(jié)束語11前言:
8、數(shù)學(xué)思想就是指現(xiàn)實世界的空間形式和數(shù)量關(guān)系反映到人的意識Z中,經(jīng)過思維活動而產(chǎn)生的結(jié)果,它是對數(shù)學(xué)事實與數(shù)學(xué)