1、 (?(? ?) ? ? ? ? ? ? ? ? ? 20202020 ? ? ?6?.-?-?-? ? ?6? ?10? ?0,4? ?0,2)? ?15+? ? ?6? ? ? 8?9?3SO?2SOAP? ?3AO?M?2POAP?2AP ?SOP?2?SAP ?SOP7? 8?9 ?l? ?r? 2? 1 2 2 Srlrlpp= ? ? ? 2 Srp= ? ? 2? 2 2 rrlpp=?22lr=7A?2r =?4l =? 2?ABSDD?4ABASBS=?2 22 2 3SOASAO=-=7? ?O?OC?OAOC?3SO? 2,SOOA SOOC? ;, 222 3 OA O
2、COS O?D? (2,0,0), ( 2,0,0), (0,0,2 3)ABS-7?SAPO-D?32 3SO =? 2AOPD?SAPO-?MPOA? ?3M? ?2?P?(1,1,0)7? 2?D?( 1,1,0),(3,1,0),(1,1, 2 3)APBPSP= -=-?SAP? ? 1( , , )na b c= ? 10nAPb a= -= ? 12 30n SPabc=+ -= ?2A? 1 3 (1,1,) 3 n =7? ?SBP? 2( , , )nr s t= ? 230nBPrs=+ = ? 22 30nSPrst= + -= ?2A? 2 3 ( 1,3,) 3 n
3、 = -? 2?ASPB-?q? 12 12 1 1 3 217 3 |cos| 31|731 33 nn nn q - + + =? ?3q?2?ASPB-? 217 31 -7? O AB M P S C ? (?(? ?) ? ? ? ? ? ? ? ? ? ? ? 8?9? sinsin (2sinsin)sin coscos BC ABB BC -=? 2(2sinsin)cossincosABCCB-=? 22sincossincossincossinACBCCBA=+=?2 1 cos 2 C =?2 3 C p =7? 8?9?ABCD?R?3coscos2aBbA+=? 2
4、2 sincossincossin 2 ABBAC R =+=?22 sin2cRC=? 42 2sin2sin(sin2sin() sinsin33 444 213 (sin3cossin)(2sin3cos)sin(arctan) 3233 cc abABAA CC AAAAAA p +=+=+- =+=+=+ ? ? 3 arctan 22 A p =-? 4 21 2 3 ab +=?7? ? ? ? 8?9 ?P?( , )x y? 3( 1, 5),(1,0)PMxy OF= - - -=? 22 |= (1)PFxy-+? ? 2? 22 |1|= (1)xxy- -+? 2 4
5、yx=7? 8?9?lAB?(2)xm y=-? 2 4yx=? 2 44 20ymym-+=? 2 1616 20mmD=-?22m?0m “ - + ?2( )f x?( 1,+ )-? ?0k ?(ln(1)7(1)0 x kxxxe+-+ -?7? ?( )(ln(1)7(1) x g xkxxxe=+-+ -? 2 2 1 ( )(1)7(1),( )7 1(1) xx k g xkegxe xx =-=- + ?2(0)0,(0)0,(0)7gggk=-7? ?7k ?(0)70gk=-? 1 (0,)xx“ ?( )0gx ? ?07k?( )(0)70gxgk=-7? (?(?
6、 ?) ? ? ? ? ? ? ? ? ? 27k ?0x“ ?( )0gx ?2( )g x?(0,)+? 20x“ ?( )(0)0g xg=?2( )g x?(0,)+?20x“ ?( )(0)0g xg=7? ?k?(,7-7? ? ? ? 8?9? 1 l? 3 3 yx= ? 2 l? 3yx=? ?2 3cos2sinrqq=+? 2 2 3 cos2 sinrrqrq=+? 222 xyr=+?cosxrq=?sinyrq=? 22 2 320xyxy+-=?( )() 2 2 314xy-+-=? 2?C? 32cos 1 2sin x y a a =+ = + 8a?9 ?
7、 8?9?6 2 3cos2sin p q rqq = =+ ?2 3cos2sin4 66 OA pp =+=? ?3 2 3cos2sin p q rqq = =+ ?2 3cos2sin2 3 33 OB pp =+=?3 6 AOB p =? ?AOB? 11 sin4 2 3sin2 3 226 SOA OBAOB p = =? ? ? ? 8?9( )()15f xf x+?21215xx- +? ? 1 2 x -?A?1 2215xx- ?2 51 42 x- -? ? 11 22 x-?A?1 2215xx-+ ?A?21215xx- + ?2 15 24 x ? ? 55 | 44 Axx=-? 8?9?8?9?1m =?21abc+= 21 2abcbc aaa -+ = ? ? 1212 , baccab bbcc - ? 21 11222 8 abcabacbc abccba - = ?8M ? ?
