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1、中学数学中的数形结合思想SeveralofthemiddleschoolMathematicsformcombiningideas【摘要】在中学数学中有很多数学方法，其中数形结合思想是中学数学中一种重要方法，它将代数与几何相结合，利用数形之间相互转换，有利于分析题中的数量之间关系，丰富想象，化繁为简，化难为易，一方面,借助于图形的性质可以将许多抽象的数学概念和数量关系形象化、简单化,给人以直觉的启示。另一方面,将图形问题转化为代数问题,以获得精确的结论。提高分析和解题的能力从而达到简易的解题方法，
2、最终方便我们的解题。我将从以下几个方面来探讨数形结合思想在中学数学中的应用：（1）在集合中的应用；（2）在解方程中的应用；（3）在解不等式中的应用；（4）在解析几何上的应用；（5）在解决最值、值域问题上的应用。通过分析、比较和归纳充分展现数形结合思想在解题中的特点和优越性，从而在实际教学中要将数形结合思想融汇到课堂中，培养学生加强数形结合思想的意识。【关键词】中学数学数形结合应用思想方法SeveralofthemiddleschoolMathematicsformcombiningideas【ab
3、stract】inthemiddleschoolmathematicshaslotsofmathematicalmethods,includingseveralformcombiningideasmiddleschoolmathematicsisoneofthemostimportantmethods,itwillalgebraandgeometry,andthecombinationofusingseveralshapetransformationbetween,behelpfulforanal
4、ysisproblemoftherelationbetweenthequantity,richimagination,changenumeroushardthingssimple,easy,ontheonehand,graphicnatureofmanyoftheabstractwillmathconceptsandvisualandquantitativerelationshipbetweensimplified,giveapersonwithintuitiveenlightenment.Ont
5、heotherhand,willgraphicsproblemintothealgebraproblem,inordertoobtaintheaccurateconclusions.Improvetheanalysisandproblemsolvingabilitysoastoachievesimpleproblemsolvingmethod,thefinalconvenientourproblemsolving.Iwillfromthefollowingseveralaspectstodiscu
6、ssseveralformcombiningideasmiddleschoolmathematicsintheapplication:(1)theapplicationoftheset;(2)intheprocessoftheapplicationofthesolution;(3)theapplicationofinequalityinsolution;(4)intheapplicationofanalyticgeometry;(5)tosolvethemostvalue,domaininitsa
7、pplication.Throughtheanalysis,comparisonandinductionshowseveralformcombiningideasofprobleminthecharacteristicandadvantages,whichinactualteachingwillformtogetherwithseveralideastotheclassroom,trainingstudents'strengthentheconsciousnessofcombiningideasn
8、umberform.【Keywords】MiddleschoolmathematicsSeveralformcombinedwithAnapplicationexampleThoughtmethod目录1引言··································································12数形结合思想的概念············································13数形结合思想在中学数学中的应用·
