数学论文浅析分类讨论思想在数学中的意义及应用

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1、浅析分类讨论思想在数学中的意义及应用目录中文摘要··························································2外文摘要··························································31．分类讨论思想方法的含义1.1分类讨论思想方法的含义········································42．在数学教学中渗透分类讨论思想方法的意义和原则2.1什么是数学思想方法和数学思想方法教学的原则··················52.2在

2、数学教学中渗透分类讨论思想方法的意义·······················63．数学教学中渗透分类讨论思想方法的实践3.1怎样在数学教学中渗透分类讨论思想法····························73.2根据问题中有可能出现的各种情况进行分类讨论····················93.3根据研究对象的不同类型进行分类讨论···························103.4根据曲线类型进行分类讨论·····································114.分类讨论思想在高中数学中的应用4.1分类讨论思想

3、在集合中的应用···································124.2分类讨论思想在函数中的应用···································124.3分类讨论思想在不等式中的应用·································144.4分类讨论思想在排列组合中的应用·······························164.5分类讨论思想在数列中的应用···································164.6分类讨论思想在圆锥曲线中的应用··············

4、·················174.7分类讨论思想在立体几何中的应用·······························184.8分类讨论思想在实际问题中的应用·······························19结束语····························································20参考文献··························································21致谢·································

5、·····························22摘要:分类讨论思想是人们常用的重要思想方法，是重要的数学思想，也是一种逻辑方法。在解数学问题时，通过正确应用分类讨论，可以使复杂的问题得到清晰，完整，严密的解答。本文首先介绍了分类讨论思想，分类讨论的要求与原则，重点讲述了分类讨论思想在高中数学中的具体应用，最后强调了根据问题的特殊性和简单性，避免分类讨论，简化分类讨论过程，从而提高分类讨论的效果。关键词：分类讨论思想正确分类应用简化分类AbstractClassifieddiscussionthoughtiscommonlyusedinanimport

6、antwayofthinking,isanimportantmathematicsthought,butalsoalogicalmethod.Insolvingmathematicalproblems,thecorrectapplicationofclassifieddiscussion,canmakethecomplexproblemtobeclear,complete,exactsolution.Thispaperfirstintroducestheclassifieddiscussionthought,discusstherequirementsandpri

7、nciples,focusonclassifieddiscussionthoughtinhighschoolmathematicsinthespecificapplication,finallyemphasizestheparticularityofthisproblemandsimplicity,avoiddiscussionofclassification,asimplifiedclassificationdiscussionprocess,therebyimprovingtheclassificationtodiscusseffect.Keyword:Cla

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