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2、 b c 11 . 3 : 33 2 1 ( 1) 33 26 3 1 2 26 . 2016 A 6858 B 6860 C 9260 D 9262 B. 3 3 2 (2 1) (2 1) 2(12 1) k k k 2 2(12 1) 2016 k | | 10 k . k 0 1 2 3 4 5 6 7 8 9 2016 3 3 3 3 3 3 3 3 3 1 ( 1) (3 1 ) (5 6 ) (19 17 ) 19 1 6860 . 2016 1 7 4 O OD AB AB C AO O E AB 8,CD 2 BCE A.12 B.15 C.16 D.18 A. OC x O
3、A OD 2 x Rt OAC 2 2 2 OC AC OA 2 2 2 4 ( 2) xx 3 x . OC ABE 26 BE OC . BCE 1 12 2 CB BE . 5 ABCD 90 BAC BDC 5 AB AC 1 CD M DM A. 3 2 B. 5 3 C. 2 2 D. 1 2 D. AH BD H AMH CMD AH AM CD CM 1 CD AM AH CM AM x 5 CM x . Rt ABM 2 5 5 AB AM x AH BM x . 2 5 5 5 xx x x 5 2 x 25 x . 5 2 CM 22 1 2 DM CM CD . 6 ,
4、 x y z 1 x y z 23 M xy yz xz A. 1 2 B. 2 3 C. 3 4 D. 1 C. 2 3 (2 3 )(1 ) M xy yz xz xy y x x y 22 3 4 2 3 2 x xy y x y 2 2 2 2 1 1 1 2 2( ) ( ) 3 3 2( ) 2 2 2 y x y x x x x 22 11 2( ) 22 y x x x 22 1 1 3 3 2( ) ( ) 2 2 4 4 y x x 23 M xy yz xz 3 4 . 28 7 E D C O A B 2016 2 7 H M D B C A1 ABC A C 3 (
5、0) yx x 90 ACB ABC 30 AB x B A AB 6 C _ 3 ( ,2) 2 . CD AB D 33 2 CD 3 2 AD . 3 ( , ) Cm m 3 ( , ) An n 0 nm 3 ( , ) Dn m CD n m 33 AD mn 33 2 nm 3 3 3 2 mn 3 2 m 23 n . C 3 ( ,2) 2 . 2 ABCD / BC AD CA BCD O CD AO BC OD ABC 126 . / BC AD CA BCD DAC ACB ACD DA DC CD AO AD AO ADO AOD . DAC ACB ACD ADO
6、AOD . / BC AD ADO CBO AD AO OC BC CBO COB . BC OD OC OD ODC OCD . 2 2 180 36 72 . 72 DBC DCB BD CD AD 54 DAB DBA 126 ABC ABD DBC . 3 . 3 167334. x y 1000 3 x y xy 3 1000 (3 1000) y xy x y x y x y tx t 1000 3 t tx 1000 3 t x t . x 1000 100 3 t x t 1000 299 t t t 1 2 3. t 2 . t 2 167 x 334 y 167334. 4
7、 5 1 5 2 5 3 5 4 5 5 25 5 5 2. 5 M M 10. 2016 3 7 O A D C B 5 1 M . 5 1 M 5 5 1 3 2 5 1 5 3 20 M 10 M 5 1 3 3 5 1 5 2 5 3 30 M 10 M 5 1 3 . 10 M M 10. M 10. (B) 42 7 1. A 1 . 2 A 2 . 3 2 1( 0) y ax bx a 1 0 . ab ab A 0 B 1 4 C 3 4 D 2 B. 2 1( 0) y ax bx a 1 0 0 1 0 a 0 2 b a 10 ab 0 b 1 ba 10 a . 21
8、 a b a 1 2 1 1 a 2 1 0 a 1 2 a 1 2 b 1 4 ab . 4 A 4 . 5 A 5 . 6. A 6 . 28 7 1 ABC BC AD AM BAC 3 AD AM _ 2. ABC ACB . ABC ACB ADM ADB BD DM 1 2 CM . AM DAC 1 2 AD DM AC CM 1 cos 2 DAC DAC 60 90 BAC 30 ACD . Rt ADC 3 AD 30 ACD 3 CD 1 DM . Rt ADM 22 2 AM AD DM . ABC ACB 2 AM . 1 1 1 4 5 1 1 2 4 5 2 2
9、2 4 5 3 3 2 4 5 3 3 3 4 5 2016 4 7 2 A 1 . 3 , pq 3 4 0 qp 111 pq . pq 1007. 3 4 0 qp 34 pq (3 4) pq q q (3 4) qq q q pq . 111 pq pq 44 q 111 29 q . q q 23 19 17 13 11 7 5 3 2. q 23 34 pq 65 q 19 34 pq 53 . q 19 pq 53 19 1007. 4. A 3 . A 20 , ab 22 3 2 4 M a ab b . , ab 22 3 2 4 M a ab b 2 a . 2 a b
10、 1 4 M 22 3 2 4 M a ab b 4. 5 3 a b 1 2. b 1 M 18 b 2 M 7. 4 a b 1 2 3. b 1 M 38 b 2 M 24 b 3 M 2. 10 22 3 2 4 M a ab b 1 1 M 22 3 2 4 1 a ab b 22 3 2 5 a ab b 25 b a b 22 3a ab 4 3 25 b 4 1 1 M . 22 3 2 4 M a ab b 2. 20 25 C AB O CD AB D E BD AE AC DEFM AM O N . FN DE . BC BN . AB O CD AB 90 ACB AN
11、B ADC . CAB DAC ACB ADC ACB ADC AC AB AD AC 2 AC AD AB . 5 DEFM CD AB M CD 2016 5 7 N(P) F M E C B O A DDE DM EF MF . NAB DAM ANB ADM ANB ADM AN AB AD AM AD AB AM AN . 2 AC AM AN AE AC 2 AE AM AN . 15 F FE F AM P F AB E . 2 AE AM AP . AN AP N P N F FN FE DE . 25 25 , x y z 1 xy yz zx 2 2 2 2 2 2 ( 1
12、)( 1) ( 1)( 1) ( 1)( 1) 4 x y y z z x xy yz zx . 1 1 1 1 xy yz zx . 2 9( )( )( ) 8 ( ) x y y z z x xyz xy yz zx . 1 2 2 2 2 2 2 ( 1)( 1) ( 1)( 1) ( 1)( 1) 4 x y y z z x xy yz zx 2 2 2 2 2 2 ( 1)( 1) ( 1)( 1) ( 1)( 1) 4 z x y x y z y z x xyz 2 2 2 2 2 2 2 2 2 2 2 2 ( ) ( ) ( ) ( ) 4 x y z x yz xy z x
13、 y z y z x z x y x y z xyz ( ) ( )( ) ( ) 0 xyz xy yz xz x y z xy yz xz x y z xyz ( )( 1) 0 xyz x y z xy yz xz . 10 1 xy yz zx ( ) 0 xyz x y z xyz x y z 1 1 1 1 xy yz zx . 15 2 , x y z 9( )( )( ) 8 ( ) x y y z z x xyz xy yz zx 9( )( )( ) 8( )( ) x y y z z x x y z xy yz zx 2 2 2 2 2 2 6 x y xy x z xz
14、 y z yz xyz 222 ( ) ( ) ( ) 0 x y z y z x z x y 9( )( )( ) 8 ( ) x y y z z x xyz xy yz zx . 25 2016 6 7 B 20 A . 25 5 abc 2 2 2 15 abc 3 3 3 47 abc . 2 2 2 2 2 2 ( )( )( ) a ab b b bc c c ca a . 5 abc 2 2 2 15 abc 2 2 2 2 2( ) ( ) ( ) 10 ab bc ac a b c a b c 5 ab bc ac . 5 3 3 3 2 2 2 3 ( )( ) a b c
15、 abc a b c a b c ab bc ac 47 3 5(15 5) abc 50 1 abc . 10 22 ( )( ) ( ) a ab b a b a b c ab bc ac 5(5 ) 5 5(4 ) cc . 15 22 5(4 ) b bc c a 22 5(4 ) c ca a b 2 2 2 2 2 2 ( )( )( ) 125(4 )(4 )(4 ) a ab b b bc c c ca a a b c 12564 16 5 4 5 ( 1) 625 . 25 25 ABC 5 AB AC D BC C AD E EB AD F AD AF . AE ED CF ABC ACB AED A E B D BED BAD . 10 C E AD BED BCF . 15 BAD BCF A B F C AB AC ABD ACB AFB 20 ABD AFB AB AD AF AB 2 5 AD AF AB . 25 2016 7 7 F E C B A D
