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-1-202025601.U={-2-10123}A={-101}B={12}BACUA.{-23}B.{-223}C.{-2-103}D.{-2-1023}A1,0,1,2ABU2,3ABe.A.2.A.cos20B.cos20C.sin20D.sin20D6cos2cos03B32cos2cos03Asin0,cos0sin22sincos0CDD.3.1200..50016000.05500.95A.10B.18C.24D.32B500160012009009001850.B4.()9999729()-2-A.3699B.3474C.3402D.3339Cnnan{}na999(1)99nannnS{}nan232,,nnnnnSSSSS729322729nnnnSSSS3(927)2(918)2(918)(99)7292222nnnnnnnn29729n9n32727(9927)34022nSS.C5.21230xyA.55B.255C.355D.455B2,1,aaa222xayaa.22221aaa2650aa1a5a1,15,5230xy22555d230xy255.B.-3-6.{}na12amnmnaaa155121022kkkaaakA.2B.3C.4D.5Cmnmnaaa1m112nnnaaaa12nnaana221222nnna1011011105101210122122212211212kkkkkkaaaa1522k15k4k.C.7.MNA.EB.FC.GD.HAMEA-4-8.Oxa2222:1(0,0)xyCabab,DEODE8CA.4B.8C.16D.32B2222:1(0,0)xyCababbyxaxa2222:1(0,0)xyCababDEDExabyxaxayb(,)Dabxabyxaxayb(,)Eab||2EDbODE1282ODESabab2222:1(0,0)xyCabab2222222168cabab22abC8B.9.()ln|21|ln|21|fxxxf(x)A.1(,)2B.11(,)22C.1(,)2D.1(,)2Dln21ln21fxxxfx12xxln12ln21ln21ln21fxxxxxfxfxAC11,22xln21ln12fxxxln21yxQ11,22ln12yx11,22-5-fx11,22B1,2x212ln21ln12lnln12121xfxxxxx2121x1,2lnffx1,2D.D.10.ABC934O.O16OABCA.3B.32C.1D.32COR2416R2R.ABCraABC93421393224a3a22229933434araOABC22431dRr.C.11.2233xyxyA.ln(1)0yxB.ln(1)0yxC.ln||0xyD.ln||0xyA2233xyxy2323xxyy23ttft2xyR3xyRftRxy11yxln10yxAB1CD.A.12.0-1.12naaa{0,1}(1,2,)iaim-6-(1,2,)imiaai0-1(1,2,)imiaaim.m0-112naaa11()(1,2,,1)miikiCkaakmm50-11()(1,2,3,4)5CkkA11010B.11011C.10001D.11001Cimiaaiam5m511(),1,2,3,45iikiCkaakA511223344556111111(1)()(10000)55555iiiCaaaaaaaaaaaa52132435465711112(2)()(01010)5555iiiCaaaaaaaaaaaaB51122334455611113(1)()(10011)5555iiiCaaaaaaaaaaaaD51122334455611112(1)()(10001)5555iiiCaaaaaaaaaaaaC4520.13.ab45kabak=__________.22211cos452ab0kaba2202kaabk22k.2214.4311__________.3643112246C-7-33336A663636.15.1z2z12||=||=2zz123izz12||zz=__________.23122zz12cos2sinzi22cos2sinzi122coscos2sinsin3zzii2coscos32sinsin1422coscos2sinsin41coscossinsin2122coscos2sinsinzzi224coscos4sinsin88coscossinsin842323.16.p1.p2.p3.p4lmml.__________.14pp12pp23pp34pp1p1l2l3l1lA3l2lBAB3l1p2p2p-8-3p3p4pmmlml4p.14pp12pp23pp34pp..70..1721.2223.60.17.ABCsin2Asin2Bsin2C=sinBsinC.1A2BC=3ABC.1222BCACABACAB2221cos22ACABBCAACAB0,A23A.2222222cos9BCACABACABAACABACAB29ACABACAB.22ACABACABACAB22223924ACABACABACABACABACAB23ACABACABABC323LACABBCABC323.18..20020(xiyi)(i=1220)xiyii()20160iix2011200iiy2021)80iixx2021)9000iiyy201))800iiixyxy.12(xiyi)(i=1220)0.01-9-3..r=12211))))niiiiinniixyxxyyyx2=1.414.1201111200602020iiy20020060120002(,)iixy20120202211()()800220.943809000()()iiiiiiixxyyrxxyy3.19.C122221xyab(ab0)FC2C1C2.FxC1ABC2CD|CD|=43|AB|.1C12MC1C2|MF|=5C1C2.1,0FcABx1CABABxc22222221xcxyababc2xcbya22bABa-10-2C24ycx24xcycx2xcyc4CDc43CDAB2843bca223bac222320caca22320ee01eQ12e1C12212ac3bc1C2222143xycc222224143ycxxyccy22316120xcxc23xc6xc25533cMFcc3c.1C2213627xy2C212yx.20.ABC-A1B1C1BB1C1CMNBCB1C1PAMB1C1PABEACF.1AA1MNA1AMNEB1C1F2OA1B1C1AOEB1C1FAO=ABB1EA1AMN.1,MNBC11BC1//MNBB11//AABB1//MNAAABCMBCBCAM11BBCC1BCBB-11-1//MNBBMNBCMNAMM,MNAM1AAMNBC1AAMN11//BCBC11BCABCBCABC11//BCABC11BC11EBCF11EBCFABCEF11//BCEF//EFBCBC1AAMNEF1AAMNEF11EBCF11EBCF1AAMN2NP//AO11EBCFAONP11EBCFNP//AONP1ANMAABCAM1ANMA1111ABCAN//ONAPONPAABC6m(0m)ONAP6NPAOABmO111ABC111ABC6m16sin6033ONm3ONAPm-12-//EFBCAPEPAMBM3333EPEPm11BC1BQEPm2QNm1BQEP1//BQEP1BQPE1//BEPQ111BC1AAMNQPN1BE1AAMNRtQPN222226210PQQNPNmmm210sin10210QNmQPNPQm1BE1AAMN1010.21.f(x)=sin2xsin2x.1f(x)(0)233()8fx3nN*sin2xsin22xsin24xsin22nx34nn.(1)32sincosfxxx224'23sincossinfxxxx2222sin3cossinxxx222sin4cos1xx22sin2cos12cos1xxx'0fx0,x122,33xx0,3x'0,fxfx2,33x'0,fxfx2,3x'0,fxfx.(2)22sinsin2sinsin2fxxxxxfx-13-fx(1)00ff233333228f2233333228fmax338fxmin338fx338fx.(3)(2)2222sinsin2sin4sin2nxxxx233333sinsin2sin4sin2nxxxx2222123sinsinsin2sin2sin4sin2sin2sin2nnnxxxxxxxx232333333sinsin2888nxx23338n34n.10.2223.2B..[44]22.C1C2C1224cos4sinxyC21,1xttyttt.1C1C22x.C1C2PP.122cossin11C4xy11xttytt2222221212xttytt2C224xy.-14-22244xyxy5232xy53,22P,0a0a22253022aa1710a1710r22217171010xy22175xyx17cos5.[45]23.2()|21|fxxaxa.12a4)(xf24)(xfa.12a43fxxx.3x43724fxxxx32x34x4314fxxx4x43274fxxxx112x4fx32xx112x.222222121211fxxaxaxaxaaaa221axa214a1a3aa,13,.-15-20201..150.2...3..12560..1.U={-2-10123}A={-101}B={12}BACUA.{-23}B.{-223}C.{-2-103}D.{-2-1023}2.A.cos20B.cos20C.sin20D.sin203.1200..50016000.05500.95A.10B.18C.24D.324.()9999729()-16-A.3699B.3474C.3402D.33395.21230xyA.55B.255C.355D.4556.{}na12amnmnaaa155121022kkkaaakA.2B.3C.4D.57.MNA.EB.FC.GD.H8.Oxa2222:1(0,0)xyCabab,DEODE8CA.4B.8C.16D.329.()ln|21|ln|21|fxxxf(x)A.1(,)2B.11(,)22C.1(,)2D.1(,)210.ABC934O.O16OABCA.3B.32C.1D.3211.2233xyxy-17-A.ln(1)0yxB.ln(1)0yxC.ln||0xyD.ln||0xy12.0-1.12naaa{0,1}(1,2,)iaim(1,2,)imiaai0-1(1,2,)imiaaim.m0-112naaa11()(1,2,,1)miikiCkaakmm50-11()(1,2,3,4)5CkkA.11010B.11011C.10001D.110014520.13.ab45kabak=__________.14.4311__________.15.1z2z12||=||=2zz123izz12||zz=__________16.p1.p2.p3.p4lmml.__________.14pp12pp23pp34pp70..1721.2223.60.17.ABCsin2Asin2Bsin2C=sinBsinC.1A2BC=3ABC.-18-18..20020(xiyi)(i=1220)xiyii()20160iix2011200iiy2021)80iixx2021)9000iiyy201))800iiixyxy.12(xiyi)(i=1220)0.013..