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1、高等数_学复习要点总结(Thenumber_reviewsummary)High+Math+reviewpoints+summaryHighermathematicsreviewsummary.Theyhopetohavereference.Forreferenceonly:Ihaveseveralthingssortedout,accordingtothereview,toensurethatyoucanstringtogether,anddon'tforgettoplaygoodbasicskills!!Advancedmathema
2、tics1)L'HospitalRulelimit,themostcommonlyusedskill;2)InfinitesimalSubstitutionlimit,isveryusefulinsolvingtheproblem,severalequivalentformulastobememorized;3)tofindthelimitofparameters,thekeyistograsptherelationshipbetweenconstantvariables,thesolutionprocessreflectsthebasi
3、cskillsofyourlimitcalculation;4)thelimitofthe1thpoweristhekeypoint;5)continuousfunctioncalculationwillbemodifiedtoadddefinition,definitionofpoint,lookathowtowritethebook,giveyouawordyouexperience,"theconceptofcontinuouspointconcept",sothequestionisfocusonthespecialpoint,t
4、hisisthemathematicalthought;6)thefourtheoremsofthepropertiesofclosedintervalcontinuousfunctionsareveryimportant,andtheyarememorizedback,andthensolvedwithexamples;7)rememberthatthetendencyisdifferent,theresultisverydifferentlimit;8)twobasiclimittwoimportantlimits,putdownth
5、eirmanywrite,orjustremember;thekeypoints,oneistheriseofE,anoteis"trendofdifferentresultsofthelimit"isnotthesame,andpayattentiontothedomainofLNX>0;9)weshouldpayattentiontotherelationshipbetweenexistenceandarbitrary,thatistosay,aslongasthereisacoincidence,itisestablished,an
6、yissaidthataslongasthereisanonconformityisnotestablished,youexperience.Examples:infinite,infinitesimal,boundedvariable,unboundedvariable;10)notethepinchtheoremisverystrongcondition,donotmissthemainpoints;11)"seethedifferencewiththerationalroot"!!!It'samindset,itworks;Seco
7、ndchapters1)theconceptofderivativeisveryimportant!!!Besuretoshowthatyourunderstandingofitisthoroughintheanswerquestions(subjectivequestions),sodon'tuseanyspecialideashere,butstrictlyfollowthedefinitionsforreasoning;2)derivativeformulasmemorizednottoomuchtoaskah;3)continuo
8、uslydifferentiablerequiresaweakone,aslongasthechangeconditionsofthestrengthwillhavedifferentprac