完整word版)高中数学知识点总结(最全版)XXXKnowledgeChapter1:nConcept1)Conceptofn①Giventwonon-emptysetsAand。ifBthereisacertaincorrespondencerule。forfanynumberxinset。thereAisauniquenumberf(x)insetBcorresponding。thentosuchitacorrespondence(includingsets。B。AandthecorrespondenceruleffromAtoB)iscalledanfromset。denotedAtosetasBf:AB.②Thethreeelementsofan:。domainrange。andcorrespondencerule.③Onlytwonswiththesamedomainandcorrespondencerulearethesamen.2)ConceptandnofInterval①Giventworealnumbersaand。andbab。thesetofrealnumbersxsatisfyingxabiscalledaclosedinterval。denotedas[a,b]。thesetofrealnumbersxsatisfyingxbisacalledanopeninterval。denotedas(a,b)。thesetofrealnumbersxsatisfyingxaboraxbiscalledahalf-openinterval。denotedas[a,b)。(a,b]。thesetofrealnumbersxsatisfyinga。xxa。xb。orxbisrespectivelydenotedas)[a,。(a,)。(,b]。(,b).Note:Fortheset{x|axb}andtheinterval。(a,b)acanbegreaterthanorequaltobforthe。whileformerforthelatter。amustbelessthanb(theformermaynotholdandbean。emptysetwhilethelattermusthold).3)Whenfindingthedomainof。theanfollowingprinciplesareXXX:①Iff(x)isapolynomial。thedomainisallrealnumbers.②Iff(x)isa。nalthendomainisallrealnumbersexceptforthevaluesthatmakethedenominatorequaltozero.③Iff(x)isaneven。therootdomainisthesetofrealnumbersforwhichtheradicandisnon-negative.④Forlogarithmic。nsthebasemustbegreaterthanzeroandnotequalto1whenthetruenumberisgreater。andthanzerowhenthebaseoftheXXX.⑤Iny=tanx。xcannotbek2kZ).⑥Thebaseofzero(negative)XXX.⑦Iff(x)XXX。XXX.⑧Fortheproblemoffindingthedomainofacomposite。nthegeneralstepsare:ifthedomainof。f(x)theisdomain[a,b]ofthecompositenf[g(x)]XXX(x)b.⑨ForXXXparameters。thedomainXXX.⑩Fornsdeterminedbyactualproblems。thedomainshouldnotonlymakethenmeaningfulbutalsoconformtotheactualmeaningoftheproblem.4)FindingtheRangeorMaximumandMinimumValuesofanXXXfindingthemaximumandminimumvaluesofanarebasicallythesameasthoseforfindingthe。rangeInfactof。ifanthereisaminimum(maximum)numberintherange