1、2022 14DCCD 58CBAB 9.ACD 10.AC 11.AD 12.BCD 13. 1 14.4456 15. 8 16. 17. 1 1 ABC(0, )Csin0C 2 3 (0, )A 4 2 5 sinDE 6 DEF 12sin23DEFSDE DF 7 8 DEF 10 1 EFDBCA2 5 6 7 2a 2222cosabcbcA224bcbc 8 2242bcbcbc4bc 2bc 2bcDEF 10 18 1ABCDACBD ACOEBDOEO,BD OEDOE ACDOE 2 EDDOEEDAC 3 EDCDACCDC,AC CDABCD EDABCD 5 2
2、1EDADEDCDADCD DDADCDExyzDxyz EDABCDOEABCDEOD 6 2tan2 222EDDOEOD 7 (4,0,0)A(0,4,0)C(0,0,2)E(0,2,2)F ( 4,4,0)AC( 4,0,2)AE(0, 2,2)CF 8 ACE1111( ,)nx y z 11=0=0nACnAE11114 +4 =04 +2 =0 xyxz1=1x1=1y1=2z1(1,1,2)n. 9 ACF2222(,)nxy z 22=0=0nACnCF22224+4=02+2=0 xyyz2=1x2=1y2=1z2(1,1,1)n. 10 121 1 1 1 1 22 2c
3、os,31 141 1 1n n 11 EACF 12 zxyOCABDEF 1OABCDAOCO ACEOAECE ADCDEDEDADECDE 2EDCEDAEDADEDCD 3 ADCDDADCDABCD EDABCD 5 2EGACFGOG EGACFEGAC EOACEGEOE,EG EOEGOACEGO ACOGEACFEOG 7 ACF2 2CF222ACCFAFAFCF 12 22 64 32ACFS 12222EFCS A EFCE ACFVV1133EFCACFSADSEG 11244 333EG 10 RtEOG2 3OE 11 EACF 12 1911n212330SS
4、23a 1 2n12330nnSSn123(1)30nnSSn 1230nnaa 2 112(1)nnaa(2)n 3 21142(1)aa1121nnaa*(N )n 4 1na112a2 5 21( 2)1nna 6 n( 2)10nna10n( 2)1nnnba 7 n( 2)121nnna 21(1)2nnncnn 222223 220nnnnncc2220nnccc OCABGDEF21(1)0nn121nn1nbn 9 2135212462()()nnnTbbbbbbbb 3521( 2)( 2)( 2)( 2)(13521)nnn 10 . 12 20 1MBCMBCMCB 1
5、2 M,A B() : 4 2l1xtyt1122( ,),(,)P x yQ x y 22122xtyxy22(2)210tyty 28(1)0t 5 3PBBQ123yy 6 1tl1yx1yx 8 : l1yx PQ 9 C22:(1)8Axy 10 TA CPQ 11 : l1yxCPQ CPQ 12 1 2l1xtyt1122( ,),(,)P x yQ x y 22122xtyxy22(2)210tyty 28(1)0t 5 3PBBQ123yy 6 1tl1yx1yx 8 QxyTMOCABPxyMOCAB: l1yx PQ 9 | 2 2AC, 10 CPQ 11 : l1yx
6、CPQ CPQ 12 21.10.02(10,0.02)XB 1 001010(0)0.020.980.82P XC 2 11910(1)0.020.980.166P XC 3 (2)1(0)(1)0.014P XP XP X. 4 (2)0.014P X1020.014 6 26000,7000 7 (6000)Pp(7000)1Pp ( )60007000(1)7000 1000Eppp 8 6000,8000 9 (6000)1Pp(8000)Pp ( )6000(1)800060002000Eppp 10 ( )( )10003000EEp 103p( )( )EE ( )( )EE
7、( )( )EE. 12 22 1( )f xR ( )(cossin )e(2sincos )e(1cos )xxfxxxxxax 1 (1cos )(2e)xxa 2 0a( )0fx( )f x(,) 3 0a( )0fx( )0fx 4 ( )f x 5 0a( )f x(,) 0a( )f x 2( )( )43(0)g xf xxx( )(1cos )(2e)4xg xxa 6 (0)0g(0)2ga 7 0a( )(1cos )(2e)42(1cos )e44e40 xxxg xxax ( )g x(,0( )(0)0g xg 9 0a (,0)xsin0 x sin0ax( )
8、0g x ( )g x(,0) (0)20ga()40g 0(,0)x0()0g x 0(,0)xx( )0g x( )g x 0()(0)0g xg a0a 12 1 2( )( )43(0)g xf xxx( )(1cos )(2e)4xg xxa 6 (0)0g(0)2ga 7 0a( )sinm xxx( )1cos0m xx( )m x(,0 0 x( )(0)0m xmsin0 xx ( )(2sincos )e43xg xxxx 8 ( )(2sincos )e43xh xxxx( )(22cos )e4xh xx 0 x22cos4x0e1x( )(22cos )e40 xh xx ( )h x(,0( )(0)0h xh( )43f xx 9 0a (,0)xsin0 x sin0ax( )0g x ( )g x(,0) (0)2(2)420gaa()40g 0(,0)x0()0g x 0(,0)xx( )0g x( )g x 0()(0)0g xg a0a 12
