1、 1 2014 12 150 120 I 1 2 | 1 0 A x x 2 |log 0 B x x AB A | 1 xx B | 0 xx C | 1 xx D | 1 1 x x x 2 z 7 1 i z i (i ) z (A)1 (B)-1 (C)i (D)-i 3 2 1 () 23 fx xx A. 3,1 B. 3,1 C. , 3 1, D. , 3 1, 4 n a 1 n S n a n 84 4 SS 10 a A 17 2 B 19 2 C 10D 12 5 1 2 1 : x p 0 ) 1 )( ( : a x a x q p q a A 2 1 , 0 B
2、1 , 2 1 C 2 1 , 3 1 D 1 , 3 1 ( 6 x, y 0 , 0 0 2 0 6 3 y x y x y x y x z A 8 B 10C 12 D 14 7 2016 1 3 1 2 1 1 A 2016 n B 2016 n C 2016 n D 2016 n 8 sin( ) 6 yx 1 2 3 2 A. 2 x B. 4 x C. 8 x D. 4 x 9 cm), A 2 ) 7 3 13 ( cm B 2 ) 3 4 12 ( cm C 2 ) 7 3 18 ( cm D 2 (9 3 2 3 5)cm 10 ABC 1 D E AB BC DE F E
3、F DE 2 BC AF A 8 5 B 8 1C 4 1D 8 1111 a b 3 2 1 b a 2 1 b a A 16 3 B 9 50 C 49 9 D 6 12 (0, ) () fx () fx () y f x (0, ) x 1 2 ( ( ) log ) 3 f f x x . x ( ) 2 f x x . A 2 B 1 C 0 D 13 2 ( ) 3 f x x x (1, (1) f _ 14 R fx 20 f x f x (4 ) ( ) f x f x . 8 fx fx 2 x fx . 15 xoy ) 0 , 4 ( M l 5 ) 1 ( : 2
4、2 y x C B A, A MB l _ 16 1 ( ) 3 (3 )ln f x mx m x x (4,5) m 12 , 1,3 xx 12 ( ln3) 3ln3 | ( ) ( )| a m f x f x a . 17 n a 1 5 a n n S 1 25 nn S S n () nN 1 1 nn ba n b 2 n a n n S 3 18 ) 0 ( cos 2 sin ) ( m x x m x f 2.(1) () fx 0, ; , B A B f A f sin sin 6 4 ) 4 ( ) 4 ( , A B C a b c, C=60 ,c=3, .
5、19 ABCD BCEG 2 BCEG BC=CD=CE=2AD=2BG=2 BDE EG ABCD 4 20 60 50 , 40 60 , 50 80,90) 100 , 90 . 1 2 60 60 3 80,90) B 90,100 C B C C . 21. 22 ln , f x x m x g x x x a 1 0 a f x g x 1, m 2 2 m h x f x g x 1,3 a 3 m fx gx m 5 22 10 xOy 1 : C cos () sin x y xOy O x : (2 sin ) 6 l cos 1 1 C 3 2 2 C l 2 C 2
6、2 C P P l 6 12 2016 12 15 1-12:AADBA BCADC BB 13-16: 0 4 y x ; 0 4 3 0 4 3 y x y x , 6 3717. 1 1 25 nn S S n () nN 1 2 1 5 nn S S n ( , 2) n N n 1 21 nn aa 3 1 1 2 1 nn aa n n b b 2 1 ( , 2) n N n 4 11 6 5 1 1 1 1 2 2 a S S S a 12 1 2 2 a b 6 1 1 1 a b 1 2 2b b 6 n b 6 2 n n n b 2 3 2 6 1 8 2 1 3 2
7、1 n n a 9 12 nn S a a a 2 3 2 3 2 3 2 n n 2 2 1 3 21 n n 1 6 2 6 3 2 6 nn nn 12 18. (1) , () fx 2 2 m , 2 2=2 m . 0 m , 2 m .2 ( ) 2sin( ) 4 f x x . () fx , x 3 2 +2 + 2 4 2 k x k k Z .4 5 2 +2 + 44 k x k k Z .5 () fx 0 4 . .6 (2) R, , 3 2 =2 3 sin sin60 c R C .7 B A B f A f sin sin 6 4 ) 4 ( ) 4 (
8、, B A B A sin sin 6 2 sin sin .8 , 2 2 6 R a b ab , 2 a b ab .10 , 22 9 a b ab , 2 3 9 0 a b ab .11 2 2 3 9 0 ab ab . 7 3 ab , 3 2 ab ( ). 1 sin 2 ABC S ab C 33 4 . .12 19 BCEG BC CE BCEG ABCD 3 CD BCDA 4 BCEG G BE M DM MG=MN MG=AD ADMG 6 BDE AG BDE 8 1 2+1 1 1 7 = 2 2+ 1 2 1= 3 2 3 2 3 EG ABCD D BC
9、EG G ABD V V V .12 20 1 0.3 2 71 3 3 10 I 1 70 80 . II 60 60 . III B C C 1 1 4 1 0.01 0.015 2 0.025 0.005 10 0.3 f .2 .4 2 60 0.015 0.03 0.025 0.005 10 0.75 75%.6 1 2 3 4 5 6 45 55 65 75 85 95 f f f f f f =45 0.1 55 0.15 65 0.15 75 0.3 85 0.25 95 0.05 71 71 .8 3 90,100 0.005 10 60 3 C 3 B 2 1 b 2 b
10、C 3 1 c 2 c 3 c B C 5 2 b1,b2 , b1,c1 , b1,c2 , b1,c3 , b2,c1 , b2,c2 , b2,c3 , c1,c2 , c1,c3 , 8 c2,c3 10 .10 2 C x, x c1,c2 , c1,c3 , c2,c3 3 .11 10 3 ) x ( P . 2 C 10 3 .12 21. 1 0 a 0 f x g x ln m x x 1 x ln 0 x ln x m x 1, .1 2 ln 1 , ln ln xx h x h x xx .2 0 hx xe , 0,0 , 0 0 x e h x x e h hx
11、0,e , e .3 min h x h e e m me .4 2 2 m 2ln h x f x g x x x a hx 1,3 2ln x x a 1,3 .5 2ln x x x 22 1 x x xx 12 x 0 x 23 x 0 x x 1,2 2,3 min 2 2 2ln2 x .6 1 1, 3 3 2ln3 13 .7 a 3 ln 2 3 , 2 ln 2 2 ( .8 3 fx gx 0, 2 g x x x a 1 0, 2 1 , 2 .9 2 2 2 ln , xm f x x m x f x x 0 m 0 fx fx 0, .10 0 m 2 0, 2 m
12、 x 0 fx 2 , 2 m x 0 fx 9 fx 2 0, 2 m 2 , 2 m .11 fx gx 0 21 22 m m 1 2 m 1 2 m fx gx .12 17 1 l 2 6 0 xy 2 C 3cos () 2sin x y 2 P 1 , 2 3 max |4 6| 25 5 d 1 cos sin x y 2 C ( , ) xy 1 C 11 ( , ) xy 1 1 3 2 xx yy 11 , xy 1 C 2 C 2 2 C P ( 3cos ,2sin ) P l d 1 l 2 6 0 xy .2 2 C 22 ( ) ( ) 1 2 3 xy 2 C 3cos () 2sin x y .4 2 P ( 3cos ,2sin ) .5 P l 0 |2 3cos 2sin 6| |4sin(60 ) 6| 55 d .7 sin 60 0 =-1 .8 P 1 , 2 3 .9 max |4 6| 25 5 d .10
