摘要：本文对数学极限思想在解题中的应用进行了诠释，详细介绍了数学极限思想在几类数学问题中的应用，如在数列中的应用、在立体几何中的应用、在函数中的应用、在三角函数中的应用、在不等式中的应用和在平面几何中的应用，并在例题中比较了数学极限思想与一般解法在解题中的不同。灵活地运用极限思想解题，可以避开抽象、复杂的运算，优化解题过程、降低解题难度。极限思想有利于培养学生从运动、变化的观点看待并解决问题。：极限思想，应用关键词Abstract:Inthispaper,theapplicationofinsolvingproblemsisthelimitideaexplained.What'smore,theapplicationsinseveralmathematicproblems,suchastheapplicationinseriesofnumbers,theapplicationinsolidgeometry,theapplicationinfunction,theapplicationintrigonometricfunction,theapplicationininequalities,theapplicationinplanegeometryareintroducedindetail.Themathematiclimitideaiscomparedwithacommonsolutioninaexample,showingtheirdifferencesinsolvingaproblem.Solvingproblembyapplyingthelimitideacanavoidabstractandcomplexoperation,optimizetheprocessofsolvingproblemandreducedifficultyofsolvingproblem.Studentswillbenefitfromthelimitidea,treatingandresolvingproblemsfromviewsofthemovementandthechange.Keywords:application，thelimitidea目录1绪论3......................................................................................................................................................1.1研究意义3......................................................................................................................................1.2国内外研究现状3.........................................................................................................................1.3本文解决的主要问题3...............................................................................................................2数学极限思想的在解题中应用5..............................................................................................2.1数学极限思想在数列中的应用5..............................................................................................2.1.1利用极限思想处理无穷等比数列5...............................................................................2.1.2利用极限思想简化运算过程，优化解题方案6........................................................2.2数学极限思想在函数中的应用7..............................................................................................2.2.1利用极限思想确定函数图像7........................................................................................2.2.2利用极限思想确定函数定义域7...................................................................................2.2.3利用极限思想求未知变量的取值范围8.....................................................................2.3数学极限思想在三角函数中的应用9.....................................................................................2.3.1通过求极端位置求三角函数的取值范围9.................................................................2.3.2通过假设极端状态推出角的取值范围9.....................................................................2.4数学极限思想在不等式中的应用.............................................错误！未定义书签。2.4.1通过假设变量的极限求得答案错误！未定义书签。............................................2.4.2利用极限思想解决不等式证明题错误！未定义书签。........................................2.4.3应用极限思想并结合排除法解决不等式解集问题错误！未定义书签。........2.5数学...
