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1、xxxxxKpJxxKbxJKpxxK xKxKpKuKpxxxxKpJxK xJJJxxKnxK xKuxKpKxKpKxKpxxAx+Buy=CxxAx+Buy=CxKbJKpA=A=JKnKKKpBCKKpTKpJJJKKKpM Mf fM MM yM yffK cK ccB yB yK ccyB yyx=x=cyxxxxxcyxTyu uyTTycfyfcxxKxMKxMxyxKxMKMxBxMBMBxBxMBxMMMffKxAx+Buy=CxxAx+Buy=CxA=A=KMKMKMKMKBMBMBMBMBBMMCyG sabyssyyuusbsababAaaaCBba bnbnanb
2、nbaaaaaa aaaaaaaaaabbbbbbbaBTTCyG sssysyssyuuubCbbbBW sC SIABdSISSSATTSSSS SSS SSSSSSSSSTSSSSSSSSSSSIAP PAAPPPPP PP PP PTJCPPPPBT BTCTIAPPPP2 2TAPPPPPPAPPPPP PAPPPPTTJTATTBCTW sSW sIW s W sSSSSSSSSSSSSSSSS SSSSSSSSSSSSSS SS214.A0410eAt12 213 3eIAtA tA t2!3!t2t4t6t3t51 41664,16t42!4!6!3!5!t3t5t2t4t64
3、t1664,1 416643!5!2!4!6!AtIAP P1AP P2TA10PPPP2P P11,22 j1P P22 jTT212 j112 j2 jeAtTe Tt1sin2t12cos 2t2 4sin 2t2cos 2tS11(SIA)11S2S4 41S1sin2t2cos2t4S(SIA)1eAtL1cos2t2sin n2t1,20(t)1(t)2 j2 jt2 jtee2()14j(e2 jte2 jt)110112e1te2teAt(t)I1(t)Acos s2tsin2t12cos2 4sin 2t2cos 2t2AeAt114112 213 3A tA t2!3!73
4、t213321 t5t,ttt2!66228133t234t4tt,1 t5t62!6IAtTeAt123t1;T2t1124 23tt11e),ee1 2(ett3t3t4 4(ee)2(ee)1111SIA1142(S314(S30(t)1(t)S1S3S1111),2()S1S3S1),()eAt1 e3e4e3tet3tteAt0I1T2.xyx(0)01x00(1,0)x1,1.IAtt020u1u(t)A2t.2!1t01x xe x x0AteA(t)Bu()d1t01d01()d11 22tt222t21t1 =0111 t =1t0t0t127.1.u u(t)At23x0K
5、 K(t)x(0)Atx(t)e x0e BKBK,KxKxAtu u(t)t0e x x0e x x0AtAteA(t)BK K()d()d BK K0t0eA(t)e x x0eAtA(tAt)|BK Ke x x0e BK K2u u(t)xKxK1(1 t)e x x0e x x0e x x0e x x0AtAtAtAtt0 x x(0)eA(t)x x0BK K1(t)dd BK K)t0t0eA(t)A e11A(tAt|BK KI)BK KA(e3u u(t)Atk k1(t)t0 x x(0)et0A(t)x x0 x x(t)e x x0e x x0(eeAAtBK K 1(
6、t)dd e BK KAteA)e|t0t0AA eAAt0t0AedAeAdt0eAdAAA11eteAA|t01t0eAAtAdt01A eA(e1|teAI)x x(t)e x x0AtA(e2AtI)A te11Ate BK KAte x x0AtA(e2AtI)A t BK K2-9.T0.1s2-21s,u1u21x1x2yx1x2y21x1Ku1x1u22x1x1x2x2K00u11u21010 x121x2IA1.101100;12IA P110P1100P1201TIA P2T01010111P2T101110TTP211G(T)eH(T)AT10TTT0eAtT01e1 e
7、tt0101T0e dtB0TTe1 e01K0dt011 eT1 eTTK00TK(1 e)TK(T1 e)x1(k1)x2(k1)eTTx1(k)G(T)x2(k)01x1(k)x2(k)0Tu1(k)H(T)u2(k)1 eK(1 eT)TK(T1 e)y(k)Tu1(k)u2(k)210.1se0.10.1x1(k)x2(k)010 x1(k)x2(k)u1(k)x1(k1)x2(k1)K(1 eK(e0.11 e)0.9).9)9)0.10.1u2(k)y(k)Tx1(k)21x2(k)1sx1(k1)x2(k1)K(1 e1)Ke1e01101x1(k)x2(k)1 eu1(k)1
8、u2(k)y(k)21x1(k)x2(k)u1(k)TBu2(k)0Tu1(k)u2(k)x1(k1)x2(k1)1 TT01x1(k)(TAI)x2(k)x1(k)x2(k)0.900.110u1(k)0.1u2(k)KT0 x1(k)x2(k)T0.1sx1(k1)x2(k1)0.1K0T1s0011x1(k)x2(k)K00u1(k)1u2(k)x1(k1)x2(k1)12eAttABBA3-11x2ux4ya,b,c,dx1x2x3x4a0100b1000c1000dx1x2x3x410u00yx1x20010 x3x4b1000a010rankMa,b,c,dAbA b22MA ba
9、02acccd33a02aca1a4,C001NCA11cCA2acbcc2CA3a2acc2b2bcc2c3rankN4,a,b,c,d2x1abx11x2cdx21uy10 x1x2MbAb1ba1cdM1ba1cdabcd0abcd0000NCCA10abb30abab31MMb Ab21 0cd 0 0cd31101121 01221NCCAN12022112MdetM1AbAb32T1324b13242411c10211431rankM0Ndet NCCA221CCA1102002343M123bAb21 323A b233222281433331 448223423132223de
10、tM1 42103142325103266224330NCCACA2W(s)03031400120114 det N41303s6s82s5122s4s3s4s3Ib01c5d201TTA1IIA1b4T52cd13M112bAbA b2001100201detM0rankM3Rc00101001000Rc130110120422detRc1000010TAbc3RcbcRc1RcARc1001111W(s)1s3ss2W(s)s113s100001s201102s000102000,010r0r0r101,100rIrI2r1000Ac0000000000Ir0rI1 rI100000100
11、00010000010000000Bc0r0rIr00001000,0000011001100001Cc012:NCcCcAc2CcAc000001100000011100000000010100001000Rank(N)36Ro1000110000100001001000100100010000000001000000001100010010000001000011000Ro1RoAAAR11112oARoA21A220010001000000000000000000100011001001000BR101oBB1B2100000CCR1000oC1C201000000A11WAA11C1C
12、B11001100,Bm0001000101000,01B1CmW(s)1s3ss13s012W(s)s101s100001102s002001,102000,011100000000000m0m0I000mA000oIm0m1I10m001000mIm2Im001000001000010B010110,21000C000010o0m0mIm000001:000000MBoAoBoA Bo2o000000010000010000100100100100001001rankM36Rc0001100110000000010000100010001000001Rc000100010000R10000
13、01c0001100110001000000100000000AR110000cAoRc0000100000000001001BR100cBo000000000010CCoRc100100001000CB11010000,Bm1001000011001,00A11WAA11C1B1Cm123MA3-3bAbAbn 1n3234-11P11Q(x x)P12x x Px xP13P23P333231TP=P=P21P22P31P32202i11017.75020iQ(x x)10Q(x x)1111417.750T2P1x x Px x1312310Q(x x)3031604-2IA2a11a2
14、2a11a22a12a211122a11a2200a11a22a12a21P11P12P11P12P=P=A PPA Aa11a12a21a22P11P12TP12P222P12P22a11a21QIQP12P22a12a2210012(a11Pa21P11112)(a11a21)Pa21Pa21P2212112(a12Pa21P22)1120P11P22P12AA2aa222trA A22212a11a122trA Aa11a22a21a112trA AtrAAtrAa11a22AP11P11P22a11a22a12a21P0P12P21(AP11P22a2122PP12P21a11220a
15、12)2)(Aa22)4trA A2(a12a222a21a11)224trA A2(a11a12)(a12a21)24trA AAP11a11a22a12a210A2000trA0a11a220a11a22a12a21a11a22004-31v(x x)0v(x x)P2v(x x)2x12x221x22xex x Px xT T06x26x1x2P1102330i361i0ii0Pv(x x)0 xTv(x x)A PPAQQIP745825838x21211020Pv(x x)2(xx222v(x x)xx2)0v(x x)120012x21A PPATQP4-21v(x x)x2x22
16、x125-2M1b,Ab,A b321001001010010110990rankM2f()detIK(Abk)k03k1(11 10k2)k22(11 10k110k2)10k0f()(3*10)10)()(21j 3)(4 401.200.10101001j 3)12 2K224 44110110990Mb,Ab,A b32010rankM2IIA3112110011121110010001TcIA2bAbb21011010011121990100101110000.1000100T1cI00.100101000.10.1010A1cITcIATcI00101 1111bT1TcIb001
17、2Kk0k1k2010AbK001k0k111k2110010111f()3(k211)*32(k111)2k0f()K12404Ab4113241314035-5KKTcM11.2A b00520.11b201detM0 RankMkM5-8(1)c1A Bc2A BdetE100010;c2A B10det10000c1A Bdetc2A B0;5-10(1)NccAIIIa11(2)deta0Txy(3):A0;LL;T12:;01;10L;0010g1g21u;0LN N1TATxT bubcTx01 xG,f()det2I(AGc)g11:g1g2g2(4)f*()(5)g12r;2
18、r)(f()g2*2r)f()3r:G23r:2r22r3r2xGTG(7)x2r22r1 x03r22r:buGy(AGc)x1u03ry;22r xbuG(yAx01 x00(1)1u0)y3r(y22r);y(2)A-Gc=0100g1g2:1g110g2g1g210f()det I(A-Gc)=det2g1g2f()(G*r)(3r22r2r)23r2r25-12(1)I,rank c=1(2),001001T1c0c010,T0101001000010100AT1AT0100010100000100010001000101bT1b0100010010011000ccT001100010100 x3g1g2I(A11GA21)0010010g1g22001,y(3)G:f()detg1g2g201g1f()(5)g1(6)20;*4)(f()g295)f*()G2920:209(A11GA21)x1(A12GA22)y(B1GB2)uw011x20 x9Gyww10u;20y9(A11GA21)w(A11GA21)G(A12GA22)yw(B1GB2)u011x20w9Gyww180y61 120y91u;0 x1xx3Gy1wy100100w1w2209y1w120yw29yy(7)001010100w120yw29yyyw29yw120yxTx10