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1、12max()30450f Xxx 2122120.520.25800. .0,0 xxxs txx 1111nnnnaaJaa 211min()nnijjiijfa ww11. .0niiiws tw ()(, ,.,)()(, ,., )01 201 2iih Ximg Xjl min()fX()0()0iih Xh X min()f X01 2. . ()(, ,., )js tgXjl 2212min()22f Xxx 12()60h Xxx 12(*)(*)(*)0nf Xf Xf Xxxx 12(*)(*)(*)(*)=Tnf Xf Xf Xf Xxxx 2222112122222
2、122222212(*)(*)(*)(*)(*)(*)(*)(*)(*)(*)nnnnnf Xf Xf Xxx xx xf Xf Xf XH Xxxxxxf Xf Xf Xxxxxx 110;h 111221220;hhhh ;11110nnnnhhhh 110;h 111221220;hhhh ;1112132122233132330hhhhhhhhh 1111( 1)0nnnnnhhhh(1)(2)(1)(1)(2)(1)()()()()f XXXf Xf Xf X 0 =- , 220()lim0o XR ( )( )( )() 0.5() ()()f Xf Xf X XXXX H XX
3、XXX ()XXXR ()H XXX ()()() ()Tf Xf Xf XXX 222222211111212 () 2aaabbbabab 11()2f Xxx 22()2f Xxx 221()20f Xx 222()20f Xx 221221()()0f Xf Xx xxx 204002H min()XRf X . . |( ) 0,1,2,jstRX g Xjl 112221212()20. .()10,0gXxxs tgXxxxx 222112222212()()204002()()f Xf Xxx xHf Xf Xxxx 2222211222222212()()20000()()g
4、XgXxx xggXgXxxx ( )lim*0kkXX (1)( )( )()min ( )kkkkkXXP (1)( )3( )kkkXXX (1)( )4( )()()()kkkf Xf Xf X 21100000011000+nnnnnnFFtabababFFFtabaF 221111+nnFtbabF 221111+nnFtabaF 11111111+n kkkkkn kn kkkkkn kFtbabFFtabaF 12212220.5+ 0.5nnnnnnntabtaba 212122122222111/kkkkkkkFFFFFFF2121lim1kkkFF 11 12 210 5
5、12 510.618 033 988 741 894 82 0( )lim0o ( )( )( )( )( )()()()()()kTkkkTkkf Xf Xf XH Xf X ( )( )( )()()kkkf XPf X ( )( )( )( )( )( )()()()()()()kTkkkkTkkf Xf Xf Xf XH Xf X 20()02H X ( )( )0( )( )( )22, 22()()0.5202()()()2, 2022kTkkTkkf Xf Xf XH Xf X 1000( )0210.501()2XXf X (1)(0)(0)022()022XXf X ( )(
6、 )( )( )(1)( )( )min()(X)Xkkkkkkkkkf XPfPXP (1)( )( )(1)( )()()()0kkkkTkdf Xdf XPf XPdd (1)X(1)X(0)X(1)X*X(0)P(0)P(1)P(1)X(0)X (1)( )( )( )( )( ):min()*kkkkkkknXXPf XPXX (1)(0)(0)0(0)(0)0:min(XXPf XP (1)(1)0(0)(0)()()()()TTf Xf Xf Xf X (1)(1)00(0)(0)()()()()TTf Xf Xf Xf X (2)(1)(1)1(1)(1)1:min(XXPf
7、XP (2)(2)1(1)(1)()()()()TTf Xf Xf Xf X (1)(1)01(0)(0)()()()()TTf Xf Xf Xf X (2)(2)(1)(0)101(2)(1)(0)10(2)(1)010(2)11=PfXfXfXfXfXfXfXfXPfXP ( )( )(1)(1)()(1)(1)()()()()()()()kkkkkTkkkTkPfXPfXfXfXfX ()()()()()()kTkkkTkfXPPAP (1 )()()()()()()(1 )(1 )()(1 )(1 )()()()()()()()()()0,1, 2,1kkkkkTkkkTkkkkkkT
8、kkkTkXXPfXPPA PPfXPfXfXfXfXkn ()()()()()()()kTkkkTkfXfXPAP (1)( )( )( )()()kTkkkTkf XAPPAP (1)( )( )( )( ):min()kkkkkkkXXPf XP 3111A 0(0)0(0)(0)12( 12,6)6()18053112()61217( 12,6)116TTf XPPAP ( )(1)(0)(0)0212526 38,417617 17TXXP 110006/17612(,)17 1712/17()()112()()289( 12,6)6TTf Xf Xf Xf X ( )( )( )(
9、 ) (1)(1)(0)06/17121()12/17289690/ 289, 210/ 289TPf XP 1(1)1(1)(1)()()61290210(,),17 17289289319021090210,289289289289116 17 9012 1721017(6 9012 210)1760 90120 2101060, 12090, 210TTTTTf XPPAP ( )(2)(1)(1)126/1790/ 28911738/1710210/ 2891XXP 12O(0)X 24(1)X(2)X(0)(0)0(0)(0)(0)()()()TTf XPPH XP 0(1)min(
10、+)f XP ( )(1)(0)(0)0(0)(0)(0)()()()()TTf XH XPPH XP (1)( )( )( )( )( )( )( )(1)(1)( )(1)(0)(0)0(0)(0)(0)()()()()()()()()kkkkkTkkkTkkkkkkTTXXPf XPPH XPPf XPf XH XPPH XP ( )( )1( )(1)( )( )( )( )()():min()kkkkkkkkkkPH Xf XXXPf XP ( )(1)( )( )(1)( )()()kkkkkkGf Xf XXXX ( )( )( )( )( )( )( )11()()1()kkT
11、kkTkkkTkkXGGXGHG ( )( )( )( )( )( )( )( )( )( )( )( )()()()()kkTkkkTkkkTkkTkkXXHGGHHGXGHG (0)(0)(0)(0)0min()()f XPf XP ( )( )( )( )min()()kkkkkf XPf XP (0)1001H 000()101212 0166PHf X (0)(0)min()f XP (1)(0)(0)0212526 38,417617 17TXXP (0)(1)(0)26 386030,-2 4,17 171717TTTXXX, (0)(1)(0)6 1221090()(),12,
12、6,17 171717TTTGf Xf X (0)(0)(0)(0)(0)(0)(1)(0)(0)(0)(0)(0)(0)()()()()60306030,101717171701210906030,17171717102109021090,1717171701TTTTTTTXXHGGHHHGXGHG 1001102109021090,17171717011042492138524111101172158219986241891T 1013852416/179/ 291 986 24189112/1721/ 2()9PHf X (1)(1)min()f XP (2)(1)(1)126/179/
13、 2912938/171721/ 291XXP (0)1001H (0)89X (1)(0)(0)(0)(0)(0)000000()8102482490169682496XXPXHf X (1)0()0df Xd (0)(0)(0)(0)(0)(0)(1)(0)(0)(0)(0)(0)(0)()()()()10( 3.138, 0.785) ( 3.138, 0.785)01( 25.108, 1.569)( 3.138, 0.785)1010( 25.108, 1.569) ( 25.108, 1.569)0101TTTTTTTXXHGGHHHGXGHG10( 25.108, 1.569)( 25.108, 1.569)01T (1)100.12310.03080.99610.0622010.03080.00770.06220.00390.12700.03150.03151.0038H (2)(1)(1)(1)11()4.8620.12700.03151.1088.2150.03151.00384.431XXHf X 8002A 11/ 8001/ 2A (2)H116(2)1611.25 108.882 108.882 105.00 10H
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