名师简评teacher.docx
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名师简评teacher.docx
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名师简评teacher
【名师简评】([teacher].)
[teacher].
Thewholepaperiscomparedwithpreviousyears,relativelystable,notrickyquestionandstrangequestions,basedonthebasicknowledgeoftheexamination,alsoexaminedthestudents'abilitytosolvetheproblemofflexibleuseofknowledge.TherearenotmanyChinesecharactersinthequestions,buttheyaremoreconcise.Buttherearealsosomeinnovativequestions,likethemultiple-choicequestionstwelfthquestions,16questions,answerquestionstwenty-secondquestions,inadditiontootherquestionsremaininstyle,thequestionissimple,goodstart,butitisnotsoeasy.Onthewhole,theexaminationquestionsaregradedfromeasytodifficult,andmostofthequestionsaresuitableforstudentstoanswer,reflectingthedoublebase,examiningtheuseofthefourmajorideasofthestudents,itisagoodtestpaper.
First,multiple-choicequestions
1,complex=
A2+IB2-IC1+2iD1-2I
2,theknownsetA={1.3.},B={1,m},AB=A,thenm=
A0orB0or3C1orD1or3
3thecenteroftheellipseattheorigin,afocallengthof4linex=-4,theellipticequation
A+=1B+=1
C+=1D+=1
3.C
[proposition]thisquestionmainlyexaminestheellipticequationandtheuseofproperties.Thefocuspositionisdeterminedbythealignmentequation,thenwiththehelpofthefocallengthandalignmentparametersa,B,C,andellipticequation.
[resolution]because
4intheknownfourprismABCD-A1B1C1D1,AB=2,CC1=EisthemidpointofCC1,thenthedistancebetweenlineAC1andplaneBEDis
A2BCD1
(5)theknownarithmeticsequence{an}beforetheNandSn,a5=5,S5=15,isthefirst100seriesand
(A)(B)(C)(D)
(6)ABC,ABandhighCD,b=0,|a|=1,ifa?
|b|=2,then
(A)(B)(C)(D)
6D
[proposition]thisquestionmainlyexaminestheuseofgeometricmeaningofvectoradditionandsubtraction,combinedwiththeuseofspecialrighttriangletosolvethepositionofpointD.
[resolution]because
(7)knownalphaissecondquadrantangle,sinalpha+sinbeta=,thenCos2=
(A)(B)(C)(D)
(8)F1F2,knownastheleftandrightfocushyperbolaC:
x2-y2=2,PonC,|PF1|=|2PF2|,cos/F1PF2=
(A)(B)(C)(D)
(9)knownx=lnPI,y=log52,then...
(A)x (10)theimagey=x2-3x+chasexactlytwocommonpointswithX,thenC= (A)-2or2(B)-9or3(C)-1or1(D)-3or1 (11)thelettersa,a,B,B,C,C,threerowsoftwocolumnsforthelettersineachlinearedifferentfromeachother,Melietlettersalsovary,differentarrangementoftotal (A)12species(B),18species(C),24species(D),36species 11A [proposition]thisquestionexaminestheuseofpermutationsandcombinations. [parse]usingstepcountingprinciple,firstfillinthetopleftcornerofthenumber,thereare3kinds,andthenfillinthetoprightcornerofthenumberof2kinds,inthesecondrowofthefirstcolumnofthenumberof2kinds,atotalof3*2*2=12species. (12)thelengthofthesquareABCDis1,thepointEisontheedgeAB,andthepointFisontheedgeBC,AE=BF=.ThefixedpointPstartsfromEandlovestheFmotionalongthestraightline.Whenithitstheedgeofthesquare,itbouncesback.Whenthebounceisequaltotheincidentangle,whenthepointPmeetstheEforthefirsttime,thenumberofcollisionsbetweenthePandthesquareisthenumberoftimes (A)16(B)14(C)12(D)10 12B [proposition]thisquestionmainlyexaminestheapplicationofreflectionprincipleandtrianglesimilarityknowledge.Thelocationofthepointafterthereflectionisdeterminedbythesimilartriangle,andthenumberofreflectionsisanalyzedwiththeimage. [parse]solution: combiningtheknownpointE,thepositionofF,mapping,inference,inthereflectionprocess, Thelineisparallel,thenusingparallelrelations,mapping,youcangetbacktotheEApoint,youneedtocrash14times. Two,fillintheblanks (13)ifxandYmeettheminimumconstraintsforz=3x-y_________. 13.-1 [proposition]thisquestionexaminestheapplicationofthesolutionoftheoptimalsolutionoflinearprogramming.Asfortheconventionalquestions,onlythecorrectmappingismadetorepresenttheregion,andthenthemaximumvalueisobtainedbymeansofthestraightlinetranslationmethod. [analytic]makeuseoftheinequalitygrouptomakefeasibleregion,wecanseethattheregionisrepresentedastriangle,whentheobjectivefunctionpoints(3,0),theobjectivefunctionisthelargest,andwhentheobjectivefunctionpoints(0,1),theminimumis-1 (14)whenthefunctiongetsthemaximumvalue,x=___________. (15)launchedthirdandseventhbinomialcoefficientequaltothetypeif,thecoefficientsintheexpansionfor_________. MITSUBISHIABC-A1B1C1(16)column,thebottomedgeandsideedgelengthequaltoBAA1=CAA1=50degrees TheAB1andBC1linesindifferentplanesisformedbythecosineoftheanglevalueof____________. Sixteen [proposition]thisquestionexaminesthesolutionoftheangleofthestraightlinewithdifferentplanesintheobliqueprism.Therelationshipbetweenlinelineangleangle,gettheprismhigh,fortheestablishmentoftheCartesiancoordinatesystemtopavetheway,thenthepointcoordinates,getstraightlinesindifferentplanesofvectorcoordinates.Theangleformulaofthevectorisobtained. [analysis]solution: first,accordingtotheknownconditions,dohighandHA1HisperpendiculartothebottomsurfacetoBC,andthencangetthesideedgeandthebottomsurfaceformedbythecosineoftheanglevalue,alaterallengthofa,andthenestablishthespacecoordinatesystemusingsaidlinesindifferentplanesintothecorner,toHistheoriginalpoint,theestablishmentofthecoordinatesystem,soyoucangetA(),canbecombinedwiththevectorcosineangleformula. Three.Answerquestions (17)(therightoutof10)(Note: inthepapersontheanswerisinvalid) ABCA,BC,theangleofedgearerespectivelya,B,C,cosisknown(A-C)+cosB=1,a=2c,C. (18)(therightoutof12)(Note: intheexaminationpaperstoinvalid)asshowninFigurefourpyramid,P-ABCD,thebottomsurfaceofABCDdiamond,PAAC=2,anundersideofABCD,PA=2,EisapointonPC,PE=2EC. (I)provedthattheanomalousPCplaneBED; (II)adihedralangleof90degreesatA-PB-C,PDandPBCintoplaneangle. 18[]thispropositionintentionismainlyusedforonlinetestcertificatesandverticallineanglewereinvestigatedinfourpyramid. Fromthequestionoflinelengthandverticalandspecialdiamondwiththecorrespondingverticalrelationshipandlength,andproofandsolution. [comments]questionsfromthepointofviewoftheproposition,theoverallproblemwithourusualpracticequestionsandsimilartothatofthebottomsurfaceisaspecialdiamond,onesideperpendiculartothebottomsurfacefourpyramid,thentheinnovationplaceistheElocationchoiceisthreepointsingeneral,suchasolutionforstudentsisalittlemoredifficult,soitisbesttousethespacecoordinatesystemtosolvetheproblemaswell. (theonly19.outof12)(Note: intheexaminationpapersontheanswerisinvalid) Tabletenniscompetitionrules: agame,thescorebefore10,2consecutiveserveoneside,theothersideserve2times,turninturn.Eachserving,winnerof1points,0pointsofnegativeside.InthecompetitionbetweenaandB,theprobabilityofserving1pointsis0.6,andtheresultsofeachserveareindependentofeachother.FirstserveinthefirstinningofaandBgames. (1)theprobabilityofascoreof1to2forthefirstserveofthefourthserve; (II)theexpectationofthescoreofthesecondserveinthebeginningofthefourthserve. (20)(therightoutof12)(Note: intheexaminationpapersontheanswerisinvalid) Afunctionf(x)=ax+cosx,x,[0,PI]. (I)discussthemonotonicityofF(x); (II)f(x)=1+sinx,fortherangeofA. Twenty-one (thisitemoutof12)(Note: inthepapersontheanswerisinvalid) TheknownparabolaC: y=(x+1)2andcircleM: (x-1)2+()2=r2(r>0)haveacommonpoint,andatA,thetangentofthetwocurveisthesamelineL. (I)seekingr; (II)letmandnbethetwostraightlineswhicharedifferentfromLandtangenttoCandM.TheintersectionpointofMandNisD,andthedistancefromDtoLisobtained. 21[propositionintention]thisquestionexaminestheparabolaandthecircleequation,aswellasthetwocurvecommonpointtangentapplication,andonthisfoundationsolvesthepointtothestraightlinethedistance. [comments]theexaminationquestionsdifferentlythanusual,becauseinvolvestwointersectionofthetwocurves,andtangenttotwocurvesatthestudypointsoutthatthetoolsofanalyticgeometryandthederivativeofthecombinationistheinnovationofthetest.Inaddition,inthesecondquestionsismoredifficult,therearetwootherpublictangent,suchaproblemforourfuturelearningisalsoaneedtopracticedirection. (theonly22outof12)(Note: inthepapersontheanswerisinvalid) Thefunctionf(x)=x2-2x-3definesthesequence{xn}asfollows: x1=2,xn+1istheabscissaoftheintersectionofthelinePQnandtheXaxisofthetwopointsP(4,5),Qn(xn,f(xn)). (I)proved: 2xn (II)findingthegeneraltermformulaofsequence{xn}.
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