摘要数形结合思想是数学中的一个很基本的思想方法，有着悠久的历史。它能运用于集合、不等式、函数、解析几何、立体几何、三角函数等问题之中，用来使题目的解法变得更加简单。此思想在高考题中占有着很重要的地位。所以，研究数形结合思想对高中生的意义尤为重要。本文在前人研究的基础上，用一些例子对数形结合思想的运用来进行分析，来帮助读者理解到数形结合的重要性。在本文中，以高中教学为主，研究数形结合思想在高中的影响和一些存在的问题，目的是探讨教师如何能在高中教学中更好地渗透数形结合思想以及帮助学生更好地去运用。具体来说，第一章是绪论，目的是让读者先了解到数形结合思想的基本理念以及其历史发展，以有一个比较全面的认知。第二章将用一些例子来说明数形结合在高中的应用，从集合、复数、函数、解析几何这四个方面，“以形辅数”、“以数助形”这两大类来论证数形结合思想的重要性。第三章则是研究高中生的数形结合能力的差异性以及对教师传授数形结合思想的一些建议。第四章写了数形结合的局限性和一些需要注意的问题。关键词：数形结合，高中教学AbstractThecombinationofnumberandformisaverybasicthoughtmethodinmathematics,andhasalonghistory.Itcanbeappliedtoset,inequality,function,analyticgeometry,solidgeometry,trigonometricfunctionandsoon.Thisthoughtoccupiesaveryimportantpositioninthequestionsofthecollegeentranceexamination.Therefore,itisparticularlyimportanttostudythesignificanceofthecombinationofnumbersandshapesforseniorhighschoolstudents.Onthebasisofpreviousstudies,thispaperusessomeexamplestoanalyzetheapplicationoftheideaofthecombinationofnumbersandshapestohelpreadersundetandtheimportanceofthecombinationofnumbersandshapes.Inthispaper,wefocusontheteachingofseniorhighschool,studytheinfluenceofthethoughtofthecombinationofnumbersandshapesinthehighschoolandsomeexistingproblems,thepurposeistoexplorehowteacherscanbetterinfiltratetheideaofthecombinationofnumbersandshapesintheteachingofseniorhighschoolandhelpthestudentstouseitbetter.Specifically,thefirstchapterisanintroduction,thepurposeistoletthereaderfirstunderstandthebasicideaofthecombinationofnumbersandformsanditshistoricaldevelopment,inordertohaveamorecomprehensiveunderstanding.Inthesecondchapter,someexampleswillbeusedtoillustratetheapplicationofnumeral-formcombinationinseniorhighschool.Fromthefouraspectsofset,complexnumber,functionandanalyticgeometry,wewilldemonstratetheimportanceoftheideaofnumeral-formcombinationintermsof"formauxiliarynumber"and"numberauxiliaryform".Thethirdchapteristostudythedifferencesofhighschoolstudents'abilitiesofnumeral-formcombinationandsomesuggestionstoteachers.Thefourthchapterdescribesthelimitationsofthecombinationofnumbersandformsandsomeproblemsthatneedtobepaidattentionto.Keywords:combinationofnumbersandshapes,teachinginseniorhighschool目录摘要...........................................................................................................1Abstract.....................................................................................................1第一章：绪论...........................................................................................31.1：数学思想以及数形结合............................................................31.2数形结合的历史演进...................................................................3第二章：数形结合在高中教学中的应用...............................................52.1：数形结合思想在教学中的应用................................................52.1.1：数形结合在集合中的应用................................
