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1、分类讨论思想在函数中的应用（Applicationoftheideaofclassificationdiscussioninfunctions）ApplicationoftheideaofclassificationdiscussioninfunctionsHairdressingmiddleschool,LinYijieI.AnalysisofteachingcontentTheideaofclassificationdiscussionisanimportantmethodinsolvingmath
2、ematicalproblems,anditrunsthroughthewholecontentofmathematicsinmiddleschool.Needmathproblemsbymeansofclassificationdiscussionideatosolve,theclassificationcausedbyreasons,canbesummarizedas:themathematicalconceptisrelatedtothedefinitionofclassification;mat
3、hematicaltheoremsandformulasoroperationalproperties,usingtheclassificationruleisgiven;avarietyofcircumstancesoravarietyofpossiblemathematicalproblemssolvingtheknottheory;containsthevariablesinthemathematicalproblem,theseparametervalueswillleadtodifferent
4、results.Theapplicationofclassifieddiscussionstendstosimplifycomplexproblems.Themostimportantprincipleinclassificationthinkingis"noheavy,noleakage"".Theprocessofclassificationcantrainstudentstothinkcarefullyandmethodically,whileclassifieddiscussioncanprom
5、otestudents'abilitytostudyproblemsandexplorerules.Theideaofclassifieddiscussionoccupiesanimportantpositioninthejuniormiddleschoolmathematicsinseniorhighschoolentranceexaminationishotanddifficult,therearemany"discuss"thoughtreflectstheknowledgeandskillsof
6、mathematicsinjuniormiddleschool,canbefoundeitherinalgebraorgeometry,definition,theoremproving,theirdistributionintheconceptofoperationrules(properties),graphics(like)thenatureandsolvespecificproblems,generallyspeaking,theuseofclassifieddiscussionofideasa
7、ndmethodstosolvetheproblemsoftwocategories:oneisinvolved;orfunctionoralgebraicequation,accordingtothedifferentvaluesoftheletters,discusstheproblemrespectivelyindifferentrangeswithin.Second,accordingtothegeometryofthepointsandlinesappearindifferentlocatio
8、ns,onebyonetodiscussandsolveproblemsThefunctionalwaysoccupiesaveryimportantpositioninmathematicscurriculum,especiallyinjuniorhighschoolstage,itnotonlyhasimportantfunctionoffundamentalandpracticalapplication,butalsoforthefu
