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1、 1 10 1C 2A 3B 4C 5B 6D 7A 8B 9BCD 10BC 11ABC 12ABD 1345 14exCCln(1)xC32axbxxdsinxC 1514 1615 171naq 62a4512aa6645222212aaaaqqqq26121 310qqqq0na0q12q3 666711222nnnnaa q 52642281352111112222nnnba a aa26 4 22871122nnn 8 nb344096bb10 2 10 712nna282112nna2821112nna4n 8nb344096bb 1018PBC30C15CPB1BC sinsi
2、nBCPBCPBC 1sin15sin30PB12sin15PB 4 PAB15A45ABP 180120APBAABP sinsinBPABAAPB 23sin120232 31cos302sin 15AB 8 5132 32 322DEABADEB DE2 3km 12 191ADOOBOCOP PADPAPDOAD POAD PADABCD PADABCDAD POPAD POABCD2 BCABCD POBC OD C B AP 3 10 z yxO DC BAP ABCDABCDABAD 1AB2AD3CD 2OB10OC2 2BC OBC222OBBCOC 90OBCOBBC 4
3、POOBPOBPOOBO BCPOB PBPOB PBBC 6 21POABCD OBPBABCD PBOPBABCD 45PBO POB2POOB 8 OA OPxz ABCDOOAy (100)(1 10)AB ( 130)(002)CP (1 12)PB ( 220)BC(010)AB PBC1111()xyzn 4 10 D CPH O BA11PBBCnn111111120220PBxyzBCxynn 11x1(1 12)n PAB2222()xyzn 22PBABnn222222200PBxyzABynn 22x2( 201)n 10 APBC 1212|62 2|cos| |33
4、2nnnn 3sin3 APBC33 12 AHPBH 1AB223PAPOAO222PBPOBO 222PAABPB PAAB RtRtPABAHB AHBHABPAABPB 3122AHBH ACAHHBBC 2222222ACAHHBBCAH HBHB BCAH BC 31138244AH BC2AH BC 10 5 10 26cos3| |32 22AH BCAHBCAHBC APBC 6coscos(cos3AHBCAHBC 3sin3 APBC33 12 20100P xy2004yxP002yx2yx1yxl01xl00012()yxxxx20y0 xx00Mx3MP002yMP
5、0 x 52(2 2 2)P( 2 0)M22MPk2 2PFkPNl2PNk:2 2(1)PF yx:2(4)PN yx 242 2(1)yxyx22520 xx12x2122Q7242(4)yxyx210160 xx2x8 6 10 (84 2)N 9 ( 2 0)M122Q(84 2)N 2 25MQk2 25MNkM Q N 12( 2 0)M122Q(84 2)N 522MQ(104 2)MN 4MNMQMQMN M Q N 12211X X111 1 1010(1)(1)0.9950.9511P Xp (11)1(1)10.95110.0489P XP X X X 1 11 P 0
6、.951 1 0.048 9 3 ()1 0.9511 11 0.04891.489E X 1.489 5 210X X111 10(1)(1)P Xp10(11)1(1)P Xp X 7 10 X 1 11 P 10(1)p 101(1)p 101010()1 (1)11 1(1) 11 10(1)E Xppp 30Y Y131 30(1)(1)P Yp30(31)1(1)P Xp Y Y 1 31 P 30(1)p 301(1)p 303030( )1 (1)31 1(1) 3130(1)E Yppp 10303 ()( )3 11 10(1) 3130(1) E XE Ypp 30103
7、0(1)30(1)2pp 8 10(1)pt3( )30302 (01)f tttt 22( )9030=30(31)fttt 303t( )0f t( )f t303 313t( )0f t( )f t313 33t( )f t620 303 0t1( )f t20 10 12pp10101122(1)(1)tptp 1303t2313t12( )( )0f tf t 12(0)(1)ttt3 ()( )0E XE Y3 ()( )E XE Y 30 8 10 12()ttt3 ()( )0E XE Y3 ()( )E XE Y 10 p 12 0.005p 3 ()( )300.860 4
8、300.95112E XE Y=0.7210 3 ()( )E XE Y 10 0.5p 301010303 ()( )300.5300.52202E XE Y 3 ()( )E XE Y p 12 22.12( )e (1)e (2)e (1)(1)xxxfxxmxxmxxm 1 0m( )0fx( )f xR 20m( )0fx1x1xm ( )0fx11xm ( )f x(1)m ( 11)m 3 0m( )0fx1xm1x ( )0fx11mx ( )f x(1m 1) (11)m 4 2221e0 xxmx22e(1)e0 xxmx xt22e (1)e0ttmt 22(1)eett
9、mt 6 0m222(1)e(1)e0etttmtt 7 9 10 0m1t22(1)e0ettmt1t2min12( )(1)eemmf tfm 12( )(0)emmg mm11( )emmg m1m( )0g m10m( )0g m ( )g m(1( )g m 1 0 2( 3)eg2(0)eg212eemm 3 0)m 3 0)m 902m2221 ()1024mmtmtt22(1)e0ettmt 10 2m( )f t(1m 1) ( )f t(11)m 1tm21() 12 0tmtt tmm22(1)e0ettmt 1tm2min2( )( 1)eemf tf3e2m 32e2
10、m m3 3 e2 12 22e1xxmx0 x2e10mR50 x22e1xxmx22e1( )0 xxF xxx22222(1)e1(1)(e1)xxxxxxFxxx0 x2e10 xx 10 10 (0 1)x( )0F x( )F x (1)x( )0F x( )F x 3min( )(1)e2F xF3e2m 80 x22e1xxmx22e1( )0 xxF xxx22222(1)e1(1)(e1)xxxxxxFxxx0 x10 x 2( )e10 xh xxx( 2)0h 2( )e10 xh x( )h x(0)(2)x( )0h x( )0F x( 2 0)x( )0h x( )0F x( )F x(2)( 2 0)max( )( 2)3F xF3m 1133e2mm3 3 e2 12