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1、分类讨论思想在函数中的应用（Applicationoftheideaofclassificationdiscussioninfunctions）ApplicationoftheideaofclassificationdiscussioninfunctionsHairdressingmiddleschool,LinYijieI.AnalysisofteachingcontentTheideaofclassificationdiscussionisanimportantmethodinsolvingmathematicalproble
2、ms,anditrunsthroughthewholecontentofmathematicsinmiddleschool.Needmathproblemsbymeansofclassificationdiscussionideatosolve,theclassificationcausedbyreasons,canbesummarizedas:themathematicalconceptisrelatedtothedefinitionofclassification;mathematicaltheoremsandformulas
3、oroperationalproperties,usingtheclassificationruleisgiven;avarietyofcircumstancesoravarietyofpossiblemathematicalproblemssolvingtheknottheory;containsthevariablesinthemathematicalproblem,theseparametervalueswillleadtodifferentresults.Theapplicationofclassifieddiscussi
4、onstendstosimplifycomplexproblems.Themostimportantprincipleinclassificationthinkingis"noheavy,noleakage"".Theprocessofclassificationcantrainstudentstothinkcarefullyandmethodically,whileclassifieddiscussioncanpromotestudents'abilitytostudyproblemsandexplorerules.Theide
5、aofclassifieddiscussionoccupiesanimportantpositioninthejuniormiddleschoolmathematicsinseniorhighschoolentranceexaminationishotanddifficult,therearemany"discuss"thoughtreflectstheknowledgeandskillsofmathematicsinjuniormiddleschool,canbefoundeitherinalgebraorgeometry,de
6、finition,theoremproving,theirdistributionintheconceptofoperationrules(properties),graphics(like)thenatureandsolvespecificproblems,generallyspeaking,theuseofclassifieddiscussionofideasandmethodstosolvetheproblemsoftwocategories:oneisinvolved;orfunctionoralgebraicequati
7、on,accordingtothedifferentvaluesoftheletters,discusstheproblemrespectivelyindifferentrangeswithin.Second,accordingtothegeometryofthepointsandlinesappearindifferentlocations,onebyonetodiscussandsolveproblemsThefunctionalwaysoccupiesaveryimportantpositioninmathematicscu
8、rriculum,especiallyinjuniorhighschoolstage,itnotonlyhasimportantfunctionoffundamentalandpracticalapplication,butalsoforthefu
