抽象函数的几个重要结论及其应用（some important conclusions of abstract functions and their applications）

《抽象函数的几个重要结论及其应用（some important conclusions of abstract functions and their applications）》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。

1、抽象函数的几个重要结论及其应用（Someimportantconclusionsofabstractfunctionsandtheirapplications）Someimportantconclusionsofabstractfunctionsandtheirapplications.TxtWedonotgivetheexactanalyticexpressionofthefunction,butsuchfunctionsascertainpropertiesofthefunctionorthecorrespondingconditionsarecalledab

2、stractfunctions.Conclusion1:(pointsymmetry)ifthefunctiony=f(x)isarbitrary,satisfiedor,thentheimageoffunctiony=f(x)iscentrosymmetric(a,0).Corollary:ifthefunctiony=f(x)satisfiesanyconditionatall,theimageoffunctiony=f(x)issymmetricabout(0)central.Conclusion:2(twosymmetric)ifthefunctiony=

3、f(x)imageisapoint(a,0)symmetry,andonthepoint(B,0)symmetry(a=b),y=f(x)isaperiodicfunctionofcycle.Proof:functiony=f(x)notonlydreamsonthepoint(a,0)andonthepointofsymmetry,symmetry(B,0).L.*y=f(x)isaperiodicfunctionofcycle.Corollary:functiony=f(x)isanoddfunction,theimageonthepoint(a,0)symm

4、etry(a=0),thenthefunctionofy=f(x)isaperiodicfunctionofT=2

5、a

6、.Conclusion3:(axisymmetric)ifthefunctiony=f(x)satisfiesanyor,thenthefunctiony=f(x)isaboutx=asymmetry.Corollary:thefunctiony=f(x)satisfiestheconditionforanyx,thentheimageoffunctiony=f(x)issymmetricabouttheline.Conclusion:(4axi

7、ssymmetric)ifthefunctiony=f(x)imageisastraightlinewithx=asymmetry,x=bsymmetryandastraightline(a=b),thefunctiony=f(x)isaperiodicfunctionoftheT=2

8、ba

9、.Proof:dreamsy=f(x)onthex=aandx=bsymmetryLLT=2

10、ba

11、isy=f(x)cycleConclusion:(5pointsymmetry)ifthefunctiony=f(x)imageisapoint(a,0)andalinears

12、ymmetry,x=bsymmetry(a=b),thefunctiony=f(x)isaperiodicfunctionoftheT=4

13、ba

14、cycle.Proof:functiony=f(x)dreamsonthepoint(a,0)andonthesymmetry,x=bsymmetryL*y=f(x)cycle.Case1:Joachimfunctiony=f(x)imageonlinex=b(b=0)symmetry,thefunctionofy=f(x)isaperiodicfunctionofT=4

15、b

16、.Case2:ifIfunctiony=f(

17、x)imageonthepoint(a,0)symmetry(a=0),thenthefunctionofy=f(x)isaperiodicfunctionofT=4

18、a

19、.Case1Letf(x)beasingularfunction,andthenf(7.5)isequalto()A.0.5C.1.5D.1.5B.0.5Solution:dreamsofF(x)isanoddfunction,andL*y=f(x)imageinastraightlinewithx=1symmetryAccordingtotheconclusionofthespecialcas

20、eof1,