1、 2014 I II 150 120 1 2 2B 0.5 :Zxxk.Com 3 4 5 I 60 12 5 1 sin( 210 ) A 1 2 B 1 2C 3 2 D 3 22 UR ( 2) | ln(2 ), | 2 1 xx A x N y x B x AB A | 1 xx B |1 2 xx C 1D 0,1 : ZXXK 3 xR 1 x 2 11 z x x i A B C D 4 n a n n S 2013 1 2014 a a a A 2013 2014 0, 0 SS 且B 2013 2014 0, 0 SS 且C 2013 2014 0, 0 aa 且D 201
2、3 2014 0, 0 aa 且5 1 () n x x 64 A. 10B. 20C. 30D. 1206 sin( 2 ) 3 yx 0, A 5 11 , 12 12 B 5 0, 12 C 2 , 63 D 2 , 3 7 2 A 14 3B 4 C 10 3D 3 8 A B C D BC ABC O 11 2 22 OP OA OB OC A. AP AD B. PA PD C. DP DA D . PA AD 9 2 PAB x P ( ) ( , ) P x y () y f x () y f x () fx 0,2 () fx (4.1) ( ) (2013) f f f 6
3、 0 9 () 2 f x dx . A 0 B 1 C 2 D 3 10 22 22 1 xy ab ( 0, 0) ab ( ,0) ( 0) F c c 22 2 4 a xy E FE P 2 OP OE OF A 10B 10 5C 10 2D 211 (1) (2) (3) (4) ( ) n ) (n f ) 20 ( f A 761 B 762 C 841 D 842 lg 4 xx 12 a b 10 4 x x 2 2, 0 2, 0 x a b x x fx x x f x x A. 1B. 2C. 3D. 4 90 13 21 22- 24 4 5 13 2014 _
4、14 M , M 30 N . 5, M 9 , N _. 15 ( , ) | | 1,| | 1 x y x y A 2 yx 1 2 yx P P A _ 16 ABCD AB AC BD CD E BC AED ABC AB CD BC AD BD AC 2:1 A A BCD BCD : 17 12 ABC , A B C , abc sin 3 cos AB ab : + + Z+X+X+K 1 B 2 2 b ABC : 18 12 20,80 mg/100ml 80mg/100ml 80 60 60 1 50,60 60,70 9 6 60 S S i m i f 2 70 9
5、0 /100 mg ml 70 90 /100 mg ml 2 1 19 12 ABCD 1 , 2 AD AB , M DC . ADM AM ADM ABCM . 1 BM AD 2 E DB E D AM E 5 5 20 12 2 2 : 3 16 E x y 3,0 F P E PF PE Q 1 Q 2 , A B C A B | | | | CA CB ABC C 21 12 ( ) ln ( ) f x x mx m R 1 () y f x (1, 1) P () y f x P 2 () fx 1, e 3 () fx 12 , xx 2 12 x x e 22,23,24
6、 22 10 4 1 O AB CD E EF CB EF AD F FG O G. (1) DEF EFA (2) FG 1 EF 23 10 4 4 C 3cos 2sin x y C 1 3 1 2 xx yy C 1 C 2 A C B (3, 0) A C AB P 24 10 4 5 ( ) 1 1 f x x x , ( ) 4 fx M . (1) M (2) , a b M , 24 a b ab . 一、 1 2 3 4 5 6 7 8 9 10 11 12 B D C A B A B D C B A C 13 55 14 13 15 1 316 17 12 1 sin 3
7、 cos AB ab sin 3 cos sin sin AB AB tan 3, 3 BB 2 22 41 cos 22 ab B ac 22 4 a c ac 22 2 a c ac 4 ac ac 1 sin 3 2 S ac B ABC max 3 S 18 12 1 50,60) 9 0.15, =0.015 60 频 率 则 组 距60,70) 6 0.01, =0.01 60 频 率 则 组 距S 25 0.25+35 0.15+45 0.2+55 0.15+65 0.1+75 0.1=42.75 2 70 90 60 0.15=9 0,1, 22 7 2 9 21 ( 0) 3
8、6 C P C 12 27 2 9 14 ( 1) 36 CC P C 2 7 2 9 1 ( 2) 36 C P C 0 1 2 P21 3614 361 36 1 A 5 ( ) 1 ( 0) 12 P A P 19 12 AM=BM= 2 1 BM AM BM ADM ABCM 面ADM 面ABCM=AM BM ADM BM AD 面 2 M xyz 1 ADM (0,1,0) m ABCM ( , , ) n x y z 22 ( 2,0,0), (0, 2,0), ( ,0, ), (0,0,0) 22 A B D M2 2 2 2 ( , 2, ), (1 ) , 2 ,(1 )
9、) 2 2 2 2 DB DE DB E 22 ( 2,0,0), (1 ) , 2 ,(1 ) ) 22 MA ME 0 (0,1 , 2 ) 0 n MA n n ME D AM E 5 5 1 2 E DB 20 12 1 Q PF QP QF 4 QE QF QE QP PE 2 3 4 EF Q , EF 4 . 2 2 :1 4 x y 2 AB AB =4 OC =1 S=2 AB =2 OC =2 S=2 AB B A : ( 0) AB y kx k CA CB C AB 1 : CD y x k . 22 2 2 (1 4 ) 4 1 4 y kx kx x y 2 22
10、2 1 2 2 4 41 k AB OA x y k 2 2 1 2 4 k OC k 2 2 2 22 22 1 ( 1) 4( 1) 4 2 (4 1)( 4) (4 1)( 4) ABC kk S AB CO kk kk 2 2 2 22 4 1 4 5( 1) (4 1)( 4) 22 k k k kk 1 k 8 5 S 2 2 2 2 ( , ) ( , ) 5 5 5 5 C 或 min 8 5 S 21 10 1 1 y 2 1 ( ) f x m x 1 m e ( ) 0 fx () fx 1, e max ( ) ( ) 1 f x f e em 1 m ( ) 0 fx
11、 () fx 1, e max ( ) (1) f x f m 1 1 m e 1 1, m 1 , e m max 1 ( ) ( ) ln 1 f x f m m 3 2 ln 1 ln ( ) , ( ) , ( ) 0 xx u x u x u x xx 则 令 ，x=e () ux (0, ) e ( , ) e 1 ( ) ( ) u x u e e 极 大 值 1 0 m e 1 1 2 2 1 2 2 1 ln 0,ln 0 ln ln ( ) x mx x mx x x m x x 1 1 2 1 2 1 1 2 2 1 1 1 2 2 2 2 1 ln ln ln ln (
12、 ) ln ( ,0 1) 1 x x x x x x x x x x t t x x x x x x 设12 1 ln ln ln 1 t x x t t 2 2 1 2 ln 1 ( ) ln , ( ) 1 ( 1) t t t t h t t h t t t t 2 ( ) 2 ln 1, ( ) 2 2 2ln F t t t t F t t t 2 ( ) 2 2 2ln , ( ) 2 t t t t t ( ) Ft (0,1) (1) 0 F () Ft (0,1) ( ) (1) 0 F t F () ht (0,1) 1 t ( ) 2 ht 2 12 x x e 22
13、10 1 / EF BC DEF EBC DEF BAD DEF BCD BAD EFA 2 EFA 2 EFD FE FD FA FG 2 FG FD FA 23 10 1 C 3cos 2sin x y 22 :1 94 xy C 1 3 1 2 xx yy 3 2 xx yy C 22 1 xy 22 :1 C x y 2 ( , ), P x y 00 ( , ) A x y 00 3 , 22 xy xy 00 2 3, 2 x x y y (2 3, 2 ) A x y 22 :1 C x y 22 (2 3) (2 ) 1 xy 22 31 () 24 xy AB P 22 31 () 24 xy 24 10 1 1 1 4 xx 1 24 x x 11 24 x 1 24 x x 12 x 11 x 21 x 22 x 2,2 M 2 2 2 2 2 4( 2 ) 8 16 a ab b a b ab 2 2 2 2 4 4 16 0 a b a b 22 ( 4)( 4) 0 ab 2 2 2 2 , ( 2,2) 4, 4 ( 4) 0,( 4) 0 a b a b a b 22 ( 4)( 4) 0 ab
