高中数学人教版必修一知识点总结.pdfVIP

高中数学人教版必修一知识点总结

Chapter1:ConceptsofSetsandns

XXXSets

1.MeaningofSets:AsetisthenofXXXtothiswhole。The

objectsunderstudyarecalledelements。andthenofsome

elementsiscalledaset。abbreviatedasaset.

2.ThreecharacteristicsoftheXXX:

1)nofelements:Ifasetisdetermined。thenitiscertain

whetheranelementbelongstothissetornot.

2)Distinctivenessofelements:XXXelementsinagivenset

areuniqueandcannotberepeated.

3)Unorderednessofelements:Thenofelementsinasetcan

bechanged。andchangingtheirndoesnotaffecttheset.

3.nofSets:{。}

1)XXX:A={membersofourschoolsbasketballteam}。B

={1,2,3,4,5}.

2)Methodsofrepresentingsets:listingmethodandnmethod.

a。Listingmethod:Listalltheelementsinthesetonebyone

{a。b。c。}.

b。nmethod:

①Intervalmethod:Describethecommonpropertiesofthe

elementsinthesetandwritethemincurlybracestorepresentthe

set.

x∈R|x-32}。{x|x-32}

②Languagenmethod:XXX:{trianglesthatarenotright

triangles}.

③Venndiagram:Drawaclosedcurve。withthecurve

representingtheset.

4.nofSets:

1)Finiteset:AXXX.

2)Infiniteset:AXXX.

3)Emptyset:AsetthatXXX.

5.nshipeenXXX:

1)Ifanelementisinaset。thentheelementbelongstothe

set。thatis:a∈A.

2)Ifanelementisnotinaset。thentheelementdoesnot

belongtotheset。thatis:a￠A.

Note:XXX:

Non-negativeintegerset(i.e。naturalnumberset)isdenoted

as:N.

PositiveintegerXXX.

IntegersetZ.

nalnumbersetQ.

RealnumbersetR.

6.XXXSets6.XXXSets

n:IfeveryelementofsetAisanelementofsetB。wesay

thatsetsAandBhaveannnship。andsetAisasubsetofsetB。

n:A⊆B(orB⊇A).

Note:Therearetwopossibilit