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1、不等式证明方法探索（Explorationofproofmethodofinequality）PrimarysixgradeMathematics2010-03-2221:49:37read129comments0FontSize:Largeandsmallsubscriptions.(i)TheconceptofinequalitiesAsamathematicalformtoexpresstherelationbetweenthemagnitudeofthesameamount,theinequalitymustbestudiedintheorderedsetofthesizerelat
2、iondefined.Becausethepluralfielddoesnothaveadefinedsize,thenumberorthenumberoflettersrepresentedintheinequalityisreal.1inequalitiesAformula,calledaninequality,thatismadebyasymbolorbyjoiningtwoofanalyticexpressions.Inequalityiscalledstrictinequality,≥or≤iscalledtheNonstrictequalsign(thecorresponding
3、inequalitiesarecalledstrictinequalitiesandnonstrictinequalitiesrespectively).Forexample,"orhaveasetup,"so1≥0or1≤1aretrue.Inaddition,thedailyuseofaonlypositiveinequality,butdoesnotdistinguishbetweenthebigorsmall,thatis,"".Thenatureofstrictinequalitiesisdiscussedbelow.Inequalitiesareoftendefinedasfol
4、lows:Shapedas(2-1)iscalledaninequalityonavariable(thesymbol""denotesanunequalsign">"andanyonein"the").Inthe(2-1)formula,definetheintersectionofthefield,calledthedomainofthedefinitionofInequality(2-1).InthedomainofthedefinitionofInequality(2-1),thesetofvaluesthatcanmakeaninequality,calledthesolution
5、oftheInequality(2-1),thesetofallthesolutionsofaninequality(2-1),iscalledthesolutionsetoftheInequality(2-1).Theprocessofsolvingthesetofinequalitiesiscalledsolvinginequalities.Aninequality(2-1)iscalledanabsoluteinequalityifallvaluegroupsinthedefinitionfieldofaninequality(2-1)makeaninequality(2-1).Ifa
6、llvaluegroupsinthedefinitionfieldofaninequality(2-1)donothaveaninequality(2-1),theninequalities(2-1)arecalledcontradictoryinequalities.Aninequality(2-1)iscalledaconditionalinequalityifsomevaluegroupsinthedefinitionfieldofaninequality(2-1)makeaninequality(2-1),whileotherscauseinequalities(2-1)tobese
7、t.Inaninequality(2-1),ifallisalgebraic,thenitiscalledalgebraicinequality;Thereisatleastoneinthetranscendentaltype,soitiscalledtranscendentalinequality.Inalgebraicinequalities(2-1),ifarerational,thenitiscall
