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# 推荐精选上海市黄浦区2018届高三数学上学期期末调研测试试题

2018 (120 150 ) 1 2 3 21 150 120 12 54 6 4 6 5 . 1. U=R A x || x 1 | 1, B x | x x 3 1 0 (CU A) B 2. x cos( ) 3 cos 2 2 5 3. (2, 1 4 ) 4. Sn {an}(n N* ) 1, 2,5,8, n lim n Sn n2 1 5. 2 2 3 p 6. P(2,1) x2 y2 5 7. (1 2x)7 a0 a1x a2 x2 a7 x7 z 1 2 a1 a7 128 i z | z | ( i ) 8. xy aa12xx b1 y c1, b2 y c2 m 0 1 2 3 n x y 1, 1 1 0 1 3 2 03m 2 n1 9. 7 ( 2 5 ) 3 () 10. D ABC ABC abc D ABC S S = a2 - (b - c)2 A= () 11. f (x) = 1 x f 2 (x) + bf (x) + c = 0 | x|- 1 7 bc 12. ABCDEF () 1 P DCDE uuur uuur () AP = x?AB uuur y AF ( xy R) x + y 20 4 5 13. ( ) ( A ) ( C ) ( B ) ( D ) 14. y = sin 3x + cos3x(x ? R) y = 2 sin 3x ( ). ( A ) p 4 ( C ) p 12 ( B ) p 4 ( D ) p 12 15. 1 1 1 1 11 (n N*) n k n k 1 n 1 n 2 n 3 n n 24 ( ) (A) 1 2k 1 (C ) 1 1 2k 1 2k 2 (B) 1 1 2k 1 k 1 (D) 1 1 2k 1 2k 2 16. y 2x1 y f (x) x y 0 y f (x) ( ) ( A ) y 1 log2 (x) ( C ) y 2x1 ( B ) y log2 (1 x) ( D ) y 2 x1 76 5 17. 14 2 1 6 2 8 A BC D- A1 B1 C1 D1 2 EF A1B1AB O1 A1B1C1D1 (1) O1 FBC VO1FBC (2) A1F CE () 18. 14 2 1 6 2 8 f (x) 1 1 cos 2x g(x) 1 3 cos x sin x x R 22 2 (1) f (a) 0 g(2a) (2) 0 x h(x) f (x) g(x) 2 19. 14 2 1 6 2 8 E : x2 a2 y2 b2 1(a b 0) F (1, 0) B(0,b) | FB | 2 . (1) ab (2) F l E MN BFM BFN 2 l . 20. 16 2 1 4 2 6 3 6 f (x) R a k ( ak ) f (2a x) k f (x) x R f (x) (a, k) f (x) (2, 1) f (4 x) f (x) f (4 x) f (x) 0 (2, 0) M (a, k) (1) f (x) 2x 1, x R f (x) M (2) g(x) 2x , x R g(x) M (3) (2,1)(1, 1) h(x) 1 x 1 h(x) 1 x2 y mx(m 0) h(x) [0,12] 5 m 21. 18 3 1 4 2 6 3 8 xy R x y (1 b)x by ( bR )( ) an n Sn Sn an 3n n N* (1) a1 an1 an (2)b 3 bn an 3n (n N* ) bn (3) b 3 cn an 3n (n N*) cn | cn | 2 (n N*) b 1 2 . 1[0,2] 2 7 25 3(, 0) 43 2 58 62 (x 2) 1 (y1) 0 75 2 3 8 4 9 25