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1、题型一分析判断几何问题中的函数图象ABCDCEFGPA出发,沿ADEFGBBAeqoac(,B)ABPStADBCOAPByyPxABCDABCDlxttABCDlSStABCPBCAPDPDABDBPxBDy,则yxABCDAEBFCGDHEFGHyxyxABCPAcm/sCQAABCCAPQSStCOABCABABACeqoac(,x)AByyxOABCDMBCPAMPtPOAOPSStABCDABEADABEBEDEBDPDEPPQBDBEQQDPDeqoac(,x)PQDyyxABCABBCBDBCDBDDEABEFADEF.AEFyDBBCCDBxyxABCDEFDEACBCPPMM

2、CCCBBeqoac(,t)ABCDEFyytABCDAABBCAPABCQADQDxPQyyxABCABCBCBClCBABClABCBCABCxyyxAPBAOBPCDAPBAOBPDOAPBAOBPCDAPBAOBPDOAPDBAPDAPCBDPBeqoac(,C)BDPCPAxxyxxxxPC4tSttttSttPADABPABABPStPDEABPABABPSPEFABPABABPStPFGABPABABPSPGBABPABABPStPOAPBAOBPOCCOAPBlxtBDStlxtBDStAPCABPAPCPABBBDPPABBPACBDxyyxxySABCDeqoac(,S)A

3、EHeqoac(,S)BEFeqoac(,S)CFGeqoac(,S)DGHxxStBAB4,ACxBCAB222eqoac(,S)ABCtSAPttSx2ABOCABtSAPttSABCACxyAD2ttSSABMOSMOPttStABEeqoac(,A)ABEAEABBEABBEDEPDxPEDEPDxPQBDBEDEQEPEeqoac(,x)ABEQADxxxyxxxxxBDxDEBDxDEABBBEDBEDExxxyxxxyxMDMBCMCACDMMCDMCHABAExFADeqoac(,S)AEFeqoac(,S)ADEyeqoac(,S)AEFxxDMDDHBCHDFBCNDHDM

4、NDHHDPHDPPDMNDHPDM22DNHDPMPMMCtyeqoac(,S)DNHSDHCPeqoac(,S)DPMSDHCPSDMCHPCtyeqoac(,S)DBCPCCBBtyeqoac(,S)DBPttytPABxPQ3xxxPBCxPQPQxxxyxxxxxxxxxxxyxxxxABCyxxyxxxxABCyxxyxxxyABCACBACBCABCAADEBBDOCDABEABABCDMABAOBAOBOAOBAOBOFOEEFEEDEAFDFADABCDOOABCDABACABACOOOAEABBCCDDEABCeqoac(,S)ABCCDABEADFBDBACABCDABA

5、DAABCDCABABCeqoac(,C)ABCMNCABDMNABMCNCABCDOBCOBOCOOBDABCDAABEBFABCDAFDEPBFCEQeqoac(,S)APDcm2eqoac(,,S)BQCABCDBAEBCABEAEeqoac(,AB)1eqoac(,E,)AB1EAECDABCDABBC1B中,ACBC2,ABAC222,SSDABSSSSCODCDABDOBCODCOODCOODCDDOBCDOCDABeqoac(,S)CEDeqoac(,S)CODDMABCDAMCDABAMAEEMAMeqoac(,CD)AMECDEMABCDCEDECDSABCDeqoac(,S

6、)ABCSABCDeqoac(,S)ACMeqoac(,S)ABCeqoac(,S)AEMeqoac(,S)ACMeqoac(,S)CEMeqoac(,S)ACMeqoac(,S)AEDSAEMSeqoac(,S)CEMeqoac(,S)AEDDDHAEHAOBOAOBABOA22OFOA3,OEOB2,DEEFABAEOAeqoac(,OE)DHEBOADHOBSeqoac(,S)ADEeqoac(,S)EOFSSAOFDEF360360AEDHOEOF5223OOSSOABSSOABSODESAOCSCOESAOEBDOEFABCDOAOCOBODOAOEFOCOSAOESFOCSeqoa

7、c(,S)AOBACABOCOABDEABAOBBOCCODDOEBCACCBCACCABDABADBDSeqoac(,S)ABCSEADSFBDeqoac(,S)ADCeqoac(,S)ABEeqoac(,S)ACEEADeqoac(,S)ABEeqoac(,S)ABDeqoac(eqoac(,S)ADCeqoac(,S)ABEeqoac(,S)ACEFCEeqoac(,S)BEFABCeqoac(,S)BCEFCEeqoac(,S)BEFABCABCCABCABSeqoac(,S)ABCSBABCMN618MC6NC2CSeqoac(,)CMN6CMNDMN,CMNDMNMNeqoac(,

8、AB),CMNCABeqoac(,S)CMNSMABNSSMABNADEOOPADPeqoac(,S)ODESADEOOPADPeqoac(,S)ODESSEODeqoac(,S)ODEOBOEODOCODCODEODEBEADGBFCDHGDB,eqoac(,C)DGBCHB,SSeqoac(,S)DBCABCDAABBDBCDBGCBHFFEEABCDAEADAFEFABCDABCDeqoac(,S)eqoac(,S)BCFeqoac(,S)EFQeqoac(,S)BCQeqoac(,S)EFDeqoac(,S)ADFeqoac(,S)EFPeqoac(,S)ADPeqoac(,S)APD

9、eqoac(,S)BQCSeqoac(,S)EFPeqoac(,S)EFQAFEBAFFAEEFADFADFSSAFADFeqoac(,S)ADFSSBAFAFCDABOABCDBAEBCAEBEABBeqoac(,S)eqoac(,S)ABB1BAABAB1ECBBEBCABCD,OCBBeqoac(,S)BBCOOBeqoac(,S)COOBSeqoac(,S)COB1eqoac(,S)AB1EEFEFEFBDEFeqoac(,BD)GEFGDBDGGEBFEDGABCDACABCDADBCeqoac(,S)ABDeqoac(,S)BCDSABCDeqoac(,S)BDEeqoac(,S)

10、BCDeqoac(,S)BDGeqoac(,S)BDEeqoac(,S)BCDSeqoac(,S)ABDeqoac(,S)BDGxaanaaaaaaaaaababababaabbababaababbababaababbaaaaanana1a2a3annnnnnnnnnnnnnxnnnaaaaaaananaaeqoac(,5)abababaabaabbababaababbababanababababbnabnabaababbabnaa13aanannnnnaaa21)(345nnnnnnnnnnnnnnnn222nnnn22nnnnnnnnn5根8根nnnnnnnnnnn22nn2n222AAA

11、ABABBAABAABAAAAAAnByCEECEECxABCDBCOBCBCBCABCDlyxxAAAnxlBBBeqoac(,n)OABAABBAAnBnBSSSnSnnnnnAAyAAOAAAAAAxAAAAAAAyAAAAAAAxAAAAAAAyAAMONABCDEFABFEOMONCDAFAFABCDEFCDOMONAFAFABCDEFnBnONDeqoac(,)BCECDEB2C2Deqoac(,)BCECDEB2C2BCeqoac(,1)ABAABABABAAAAABBAAeqoac(,1)1BAAAnBAABAABAA2BABAAAnC1D1C1E1D1E1B2E2CDCDBC

12、DBCCDBnCnnBCDOABOABOABOAnBnnn,SSSSnnAAxlyxBOAABeqoac(,S)OA1B1SnnAAAOAAAAAAAOAAOAAAAAAAAA22n2nAAAnn2AnAMONBnONhnABCD1EFABeqoac(,1)AOFABOAOBhOAAFAhOAAFABOBhOBhOBnOBnhnBnONOABCOBODABCDOPPPPPPPOABCOBOBBCOBBCOBOBBCOBBCBOABCOBBOxDOBDODODDODPPnPnPPxPykxkymAPPPykxkymAPByxyxBxBOBnOBOBOBOBBmxlxNBCACkmBABCyxyk

13、AxAxeqoac(,P)OAPBxMMAMBMykxbykxbyxyCxDPeqoac(,S)ODPeqoac(,S)OCAPkxyABynkxyABynnkxbnnxCCDxDOBOAODxAAnykxbyxxCxtCBCAtCmyxxAyCyxxPPPBxBACBCPyyyxyDBCPDDyxbxyByxxAnOAOABDxDCBOABDyxxyABykCDAxEkxAAEACkEDOyD(6,1),点CCCAxxDDByABABBCkBCDCDABCDByxAByyxAkxDyyxCOBABkxkBABCeqoac(,P)APCAODPAykxymyAykxymyCBCBNCNeqoa

14、c(,S)ABCBCADxmkkmlxNBBxyxyBAADlDCCADxyxyAxyOPxPAyOAPxykByAxAABByMBBBAyxyxyxxMyAAxAABykxbABb,bbAByxyABABABykxbb,bbyxyxyxxyDCnPmnneqoac(,S)ODPeqoac(,S)OCAnPmmmPOBOAODOAODABDABykxbb,bbCynCynxyxyCx,xxxkxbkxbAnBykxbynxxxxmxmnAABykxbb,bbyxxxAxABAxCCAAABymxnmm,解得m,yyxyxCtAByxxAyCACACBCCOABOABOAOBBPOCPxPymm

15、xyxyyxxDBCPDDCPBEBCPDCEDECDDD,DDBCPDDAyAyxmmyxbxCCyxbbAAnyxnAxOBOOMACOBByxyxyBOCOBOCBOBCOCBOMOMBOMOAAOOAOMAOMOABBCCDDCBCCDDCBCAANyNANBNABOBOCBCOBCOCBOBABCDOBABCDOBADCBOBBAOBBAyxyxxAOBOABOBOACFtAFACtCttCDACCFxFAEACtEtOABACFCAFCEytttCEytttxttktEDOExDxxxxxDEDOyyDkeqoac(,S)xkCBDhDDByBDhCDCxCCDykxbbbbbCD

16、yxmcn,n,bABCDCAxDByDCcABAcBABymxnmnAByCDyexfee,解得e,ABCDkABCDkAByAyxByxAaaBaABaBDeqoac(,)OBDOBBDODaCDyABCDABCDDakxkakkaakaOBABaa2,Aaa2,ABABCMeqoac(,S)CMABaakCCMABMCBCMCMAPAPCAODAODAPCACPPaAaaAPaCCMaaaa(a(aaaaaACBCOBACBOEACBCOBACBOEFEFOEABOABOABDOCEBOEACBOBFOABOCACBCODEDEDDFBCFBDDEAEDFODECOACEABABCDOA

17、COCACADEFCEDBDCDFCDEDFOACDEABDOABCAEBACOEBCDElBClOABCBFADFBEEFDEDFAFABCOABACADBCEFOECFBDBECEBFCDBCADCDOABCABPOPGBCDAGCPPBDOPBACDGKDKDPCKAGKCCPEEDEDABHPHPHABDEGOABOBADOCDEGOOECDFBECDGABAGDGDEGBGCGAFABCO中,ABCCDODFDFDFBAEDBDABCDAFDACMODCDEAAEPCOECGFBEPAAEPCOECGFBEPCFBECGABDACDABCPCAABCMHABCOABCCBCMHABC

18、OMHACMH.MHABODADONNNQBCEOQNQABCOPBCPACBADOCCGADADEABFOG.PAOAGAFABOACABAFGAOOEAOODDAOOEAOODDOOCOABOAEACOABOAADBDBEACBBODADBDBEACBBODCEABACEBCEAOEBOEAOBACBBOEACBBODODxOBxODBDOBxxxOBxOBxOOFOEOFOBOFOBFEOEOBODOBODBOFDOBOBFODBOBFODBOBBFOBOBFODOAEGDOBOABDODBDEABDEBDODBEBDDOBCODFCFDDFBCCFDODFODDFODODFODECAB

19、OADBCDBBDBDABDEBDABDCBDADCDDEADACADACCDDEDECDEDAEABDAEABDGADADADBABDDGDGOGODDGAGOEABOGAGOEABOGOAACOADCCDEDFCECFDFCECFAEACABDACDODCDEFCEFDCFCDODOCODCOCDODCFDCOCDFCDODFOCFECACOCFODFODDFODODFOACDECAADCACEEACCADACDAECACADACADAEACDEDEAEDEAEAEDEADDEACDACADCDCDDEOABDACDADCDlOOEOBOCAEBACBAECAEBECEBOECOEOBOC

20、OEBClBCOElOEOlOBFABCABFCBFCBECAEBAECBECBFBAEABFEBFCBECBFEFBBAEABFEBFEFBBEEFBEEFDEDFBEEFDEDFBECEBEAEBEAEAEAEAFAEEFDEBBEABEDAEBDEBEADOABDACDABDACDABACADADABDACDBADCADABACADBCBECEBFCDADOABACADBCBECECFBDFCEDBEBEDCEFDBEFCECEAECECEAECEBCODOPOBBEDCEFBDCFBFCDBADCADBDCDBFCDADOADBCBECEECDCAEAECDECCDEACEDECECE

21、DEAEDExAEADDExBCxxxxCEDCDCEDEPPGOBPPCPGBCCDBDODBDOPOBDABOACBBACCDBDPDBKDCPDBKDCBPCKBPOCKDAOGBOPAGBPAGCKOPOBOBPBPOGOBPGBPOCKDAGCKAGKCCEPECDBDDEPBDHPBGBPOPBAGDHAGOAGOHDGODHOAOGOAGGODHOHDODOHOBDOPHOBDOPHOHPODBPHABOBABOOBABABGOBGEGAGBDFrOGAGBDFrOOEGFGEOBOEOBGOEGABGFGEBGAFGEABGBGAABAGBCDGDEDGEDEGABGBGABG

22、ADGEAGDEGBCGDEGBCABGCAGBGBCGABGBGCGBGCGAODEFDEFEDFEFxDFxDExDGDEDGxGFDGDFxEFGGFEFEGxxxOrODFODrOFrDFOFFDODrrDBDACDACMMCDACDACDABDACDABDMCDABDMCDBADBADABDDBDAAFADBDDFDADFDEDADFDEDEBCDAFDBCDAFDACMMCDACDABDBADBDAABDDOABGADOOOHADHADDHODADFDAFAFEACDADEEBADDAFEADFEDAADFEDADEDADADFDFDCDAABOACBCGABADCACBCADBA

23、CACDABCOCPCOCOCPCPCOPCAOCAACBABCOACOCOAOCAOACPCAABCAEPCPCACAFABCGPFADPFADEABABPCAABCCAFABCACFCAFFAFCCFAFAEPCFADPFDADCDCODCOrrrrABrABOAEBBEBEBEOMCMHCHMACHCHMACMHABCABCACBCOAMCBMCHACHMCHCMOMOCOMCOCMOMHOCHACBOCHOMHOMMHOMOMHOACMHBCBCODDPACPONDPBCBDPCDBDNxAPxANACADxADPxxxDNBDADADBCxDNBDADADBCBEOEOBBEENON

24、OENQENQNBCACBCBDBCACNQDBDNBEBEPAOADOCGADADCGACAGACGAGCAGCBPACBPACACGPACGCGADPAADADOPAODCBADCADOACDADCDACPACBADCPACPACDACDAPAPAOAFACACGAFACCABFACABCACFACABACAFABACAGAGAFABeqoac(,BG)GABFAGAGAFABAGAFABAGACABAFAFBDABDABADBDABADBDBDADABAEFABDEAFBADAEFABDAEAFEFAEEFAEEFACECEACAECECEEGEGFGEGEFFGgOOFABFCDOOC

25、DPDAPADACCOODOEabaPCaCDOOCDPDAPADACCOODOEabaPCaPDaOCACAOaaACAOACaAOaAEAOOEaaAEACAOCABOCACFOFOCOFOABODDPACACPACBDPACCODPOCODOCDODCCDPDQDQaCDaCQaCPDCPbDPbCDbCOeqoac(,DP)ACOAPDaACAOaaaaAEAEcACcACOcccAFACcBFOBCABBBFFOBOxxBBBFFOBOxxyABAFBFBFOBCABCCAABBFxBOyyyxABCDPQBABCADPQAPQQEAPEABPQEAtABPQEAQEAytQEAy.

26、tABCADCACBDACABCADCCADABBCADDCMNACADCBADCBNBMNMNMNxNADxDCPMPeqoac(,NP)PMNyPMNyyABCACBACBACMBBAANCCBBtMNBMBNtMBNABCttACNMABCDBCCDBMDDAsNBBCsMMFCDFFMBAEENADOtsANMNANMEyyttANMEtANMEABCDtACENPENADOPEFteqoac(,2)EQFABCDABBCEFteqoac(,2)EQFCFDDAAFQBCACBCPQteqoac(,EP)EPCycmytyEPQADCtABCDDCABDAABADDCABPBBCCQA

27、ABBsPCPQtstPQPQBStSPQBtABABBPAPQEAEABCDQEAPQEABADBCQAEAPBABPQEABPAQABPQEAAQAPABPABPQEAABPAPABPQEAQEAEAQ3tAEAEQEAEABCACACDADACsDCACDCACFNCNCFCNCxNNEADENFDCDCFNEDFACDACBNCFFNCNFCFCNCFCNCxNEDFDCFCxNCNADNCNFCNFxNFNCxPFDFDPxPFDFDPxxy(xxxxxxDPCPeqoac(,S)PMNSDFNMeqoac(,S)DPMeqoac(,S)PFNeqoac(,S)PMNNFMDNEMD

28、DPPFNFxxx秒时,y取得最大值为当x秒时,y取得最大值为NBMABCBMtBCBNBCNBMABCBMBNBMNACBBMBNMNBACBMBNABCMNBACBMBNABCMBNABCBAACBNBMMMDBCDMDACBMDBACBMMDBAMDACNMyyeqoac(,S)ABCeqoac(,S)BMNACBCBNMDACNMAAGBCGAGAEAMAGAEAM,MEANMEABCDsANMEABCDAGBBABMDtAMtABCDMFCDMEABMEAMFDADBCEAMByeqoac(,S)ANMeqoac(,S)AEMBNBEtBGABtttBNGNBNBGBNBEtBGAB

29、tttBNGNBNBGBEDFCQDFCDQFEQBCBECQAONCBCBNNCPN2xENADOPAEtBEABAEtBENBCAGBCBNtPOxPNxAONCAOPCNPAOPOxABCDADBCABDCDBCDFQBCFQCDQCDCDFQEQQFPQeqoac(,S)ECPQytttttABPQeqoac(,S)ECPQytttttABBCCDADADCDADCDEPQADCFQCBFQCBPQABCPQCABPQQCBEtECBCBEttyyEQEPQACDPQEQEPQCADPQEQEQECEPQCADPQEQCCEABECEBC4PFSQBPFDCABDAABCEBC4PFS

30、QBPFAECDAEDCCEADBEABAEBCBE+CEBCABPCPQPQAQBPQBPPFQBeqoac(,F)BPFBCEPFBPPFBCBFBCBFPBBBQFABAQBFBSQPQPQFPFPQBPQBQPQBs或QBBPABCDABBCBCEFEFEFPEFPADPEPFACGHPEFPEFEFBCEBCBCBExPHyyxeqoac(,BG)BEGSSxxSSQABCDACBDOACBDQPAABsPPFADPFCDFFEFBDADBDEPEPsABPEBDAPFEyySSAPFESABCDABCABACADBCDBCADPBBCCADBCDAABACADEFHPCPmtttD

31、EDFAEDFPEFPEFBPeqoac(,t)PEFtABCDABABCEDDAtCECBCDCFBEDFBDEFBDECEFPQtEPQCDCBCDCGEFADFADytPPQBCQABCDBPQFPFQPQPFEGGEMGEMGMPQFPFQPQPFEGGEMGEMGM33xGMEGSxADBCPQABPEFPFQPFPEFeqoac(,Rt)ABCABBCACACBPEFPFEFHCFHFCHFPHyFCyBEEFFCBCxyyxxGGMBCMPEFPEFeqoac(,Rt)ABCABBCACBEGCBExECx2GE2433x4xxxxSABADQFEF2QFQDABADQFEF2Q

32、FQDABCDACBDOACBDBODOAOCOABABCDABCDADBCDBPFADAPFDDFAPEFBDQADBCDBDEFDFEDEDFtAEtPEBDAPEABDAPAEsPEBDFDQCDOFQDCODDFQDCOQFDFQFOCDC6CCGABGSABCDABCGACBDCGCGCGCGeqoac(,S)EFDEFQDSAPFDDFCGSAPFESABCDsSAPFESABCDDEDFDHAHHADEFADEFADAEDEAFDFABACBCADBCEFBCAEFBAFECAEFAFEAEAFAEAFDEDFAEDFEFAHEFAHBCAD10EFPEPFEFBCAEFABCE

33、Feqoac(,S)PEFEFDHeqoac(,S)PEFcmBPcmEPEADPEDHBPADBDPEADADBDBEPBADPEBPADCDADBDADCDADBD5BMPMBPBMPEADCD5CNPNBCBPCNPFFPEPFPFADPFDHBPCPPFADCFPCADPFCPPPEPFEEMBCMFFNBCNEMFNDHEMFNADEMADBEMBADEMBMBMEMPFNADCFNCADFNCNCNeqoac(,Rt)FNPEFMNBCBMCNEFMNBCBMCNPEFDCFBCEEC2DEPEFEFPEPFECFBCDECFECDBCDDCFBCEABCDDCBCDCFBCECF

34、CEDCFBCEBEDFCECFCEQEQPECFBCDBCDCECFCBCDECFCBDCEFBPCEPQBCPEQPCEDCDECEDCDABABCADCECDEECDEDEDEyFHyFHEPQABCDACBDECACDEEPQGEFADGFADBCMNFFHADHDCEGCFDEBCGFCDDCNMMNBCDDCGDCNBCDDCGCGNCGNDCNCNGCNCGCDABCCGNGNGM第4题GFDEFMFMHABCABCAFGABACAGFABCAFGAAFAGBCDEDBECBEmCDn.ABEDCAmnnCEDEABCDEFBDABDECDEFABCFACDEDEFABCDECE

35、FxyCEFxyxxMDFNMNADBCABCBBCADEFPQQPBCADBCEFABACADEFHAHEFEFxxEFPQEFPQDAPQAtEFPQABCSSttABCDADBDABADADABCDeqoac(,Rt)AEDEADDBAAEDAEDeqoac(,A)EDDCEBCBDADMAEDENtDMtEBDteqoac(,A)Eeqoac(,D)BDCSStDMDtABCACBBACDABEFACDEFGHACDACDEFGHEFGHABFBCCBDCBDEFGHEFGHGHCDEFGHABCDABBCACeqoac(,AB)ACDACPNMQCCBPNMQtstPQMQMCPQM

36、NQMCyytteqoac(,S)QMCSABQPttPQMQtCACACDBAEBADCDABADBAECDABCABEDCAABEDCABEBACABA22nm2mmnnnACEAABHCEHBAEAHABHCEAHeqoac(,HD),在EADHADAEAH,HADEAHFAGEADADeqoac(,AD)EADHADSASDHDEHBDABHABDBD2HB2DHBDCEDECGABGCHCEHABCACABCBCACGDBGBDDBxDGxGDBGBDDBxDGxxyDGBGxxxCGEHCHGEBGBExxBDxBDxDGxBGxBExEHxyyxxxxyeqoac(,S)BDGeqoac(,S)BEHDGBGBEEHyxxyxACBCBDxBExEGxyyxxyeqoac(,S)ABCeqo

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