学士学位论文系别：应用数学系学科专业：数学与应用数学姓名：李毅运城学院二零一三年四月浅谈抽屉原理的应用系别：应用数学系学科专业：数学与应用数学姓名：李毅指导教师：高桂宝运城学院二零一三年四月浅谈抽屉原理的应用摘要抽屉原理虽然简单，但应用却很广泛，它可以解答很多有趣的问题，其中有些问题还具有相当的难度.掌握了抽屉原理解题的步骤就能思路清晰的对一些存在性问题、最小数目问题做出快速准确的解答.运用抽屉原理，制造抽屉是运用原则的一大关键.首先要确定分类对象（即“物体”），再从分类对象中找出分类规则（即“抽屉”）．根据题目条件和结论，结合有关的数学知识，抓住最基本的数量关系，设计和确定解决问题所需的抽屉及其个数，为使用抽屉铺平道路.一般来说，“抽屉”的个数应比“物体”的个数少，最后运用抽屉原理.关键词抽屉原理数学实际应用OntheApplicationoftheDrawerPrincipleAbstractDrawerprincipleissimple,buttheapplicationisveryextensive,itcanansweralotofinterestingquestions,someofwhichalsohasconsiderabledifficulty.Masteredthedrawerprincipleofproblemsolvingstepswillbeabletoclearthinkingontheexistenceproblem,theminimumnumberofissuestomakefast,accurateanswers.Theuseofthedrawer,thefabricationdrawerisakeyprincipleofapplying.Firstdeterminetheclassificationobject("object"),andthenfindoutfromtheclassificationobjectclassificationrules("drawer").Accordingtosubjectconditionsandconclusions,combinedwiththemathematicalknowledgetograspthebasicrelationshipbetweenthenumber,thedrawersitsnumberofdesignanddetermineneededtosolveproblems,andtopavethewayfortheuseofdrawer.Ingeneral,thenumberof"drawer"shouldbelessthanthenumberof"objecs",andfinallytheuseofthedrawerprinciple.Keywordsdrawerprinciplemathematicspracticalapplication目录TOC\o"1-3"\h\z\uHYPERLINK\l"_Toc353179706"引言PAGEREF_Toc353179706\h1HYPERLINK\l"_Toc353179707"第1章抽屉原理PAGEREF_Toc353179707\h1HYPERLINK\l"_Toc353179708"1.1第一抽屉原理PAGEREF_Toc353179708\h1HYPERLINK\l"_Toc353179709"1.2第二抽屉原理PAGEREF_Toc353179709\h1HYPERLINK\l"_Toc353179710"1.3无限抽屉原理PAGEREF_Toc353179710\h2HYPERLINK\l"_Toc353179711"第2章抽屉原理的应用PAGEREF_Toc353179711\h2HYPERLINK\l"_Toc353179712"2.1解决代数问题PAGEREF_Toc353179712\h2HYPERLINK\l"_Toc353179713"2.2抽屉原理在生活中的应用PAGEREF_Toc353179713\h2HYPERLINK\l"_Toc353179714"2.2.1黑夜穿袜子PAGEREF_Toc353179714\h3HYPERLINK\l"_Toc353179715"2.2.2手指和头发PAGEREF_Toc353179715\h3HYPERLINK\l"_Toc353179