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吉林省白城市通榆县第一中学2018_2019学年高一数学下学期第一次月考试题


2018-2019





1()



2



3



12 5



1. y=1-2sin2x- 4
A.

B.

C.

D.

2

2

2.{an} a1a445a2a539 a3a6( )

A24

B27

C30

D33

3. ABC A B C a b c b2 ac A 30 bsinB c


A 1 2

B 2 2

C 3 2

D 3 4

4. fx=cos2x-4sinx fx

A4

B3

C5

D 17

5. ABC A B C a b c sin A sin B sin C 3

5 7 ( )

A135

B 90

C120

D150

6. ABC A B C a b c a 1B 45 ABC

S 2 ABC

A 4 5

B 5

C 5 2

D 6 2

7. tan tan x23 3x40 2 2

A23

B23 3

C3 23

D3

8. 3sinxcosx2a3 a

A.12a52

Ba12

Ca>52

D52a12

9. ABC tan Atan B 3 3tan Atan B sin Acos A 43



A

B

C

D

10. f (x) sin(x ) g(x) cos(x )

2

2

A y= fxgx 2

B y= fxgx 1

C y= fx gx 2
D y= fx gx 2

11. ABC A B C x y z x2 y2 z2 ABC

A C

B D

12. ABC A B C a b c cos B cos C 2 3sin A

b

c

3sin C

B a c 3

A ( 3 , 3] 2

B ( 3 , 3] C[ 3 , 3]

2

2

D[ 3 , 3] 2


4 5 13. y2sinx2 cos2 x_________ 14. {an} a7ma14n a21________.
15. ABC A 60 AC 6 BC k ABC k

____________
16. tan 4 32 21sicnos22 ________.
1710 {an} a1a2a312a816. (1){an} (2){an} 2 4 6 ... 2n {bn}{bn}

1810 ABC A B C a b c , 3bsinA acosB 1 B

2 b 3 sinC 3sinA a c
1912 ABC A B C a b c B cos A cos2A 0
4 1 C

2 b2 c2 a bc 2 ABC

2012 ABC B D BC E AD 3

AE 8 AC 4

10

CED



4



1 CE

2 CD 5 cosDAB

2112 a ( 3 sin x,sin x) b (cos x,sin x) x02 . (1)| a || b | x (2) f(x) a b f(x)
2212 f(x)2 3sin xcos x2cos2x1(xR) (1) f(x)02 (2) f(x0)65x04 2 cos 2x0





1.B 2. D 3. A 4.B 5. C 6. C 7. A 8. A 9.D 10. C 11. A 12. A



13. 5

14. 2nm

15. (3 3, 6)

16.

2 2

17.(10 ) (1)a1a2a312a24 a8a2(82)d1646dd2 ana2(n2)d4(n2)22n.

(2)a24a48a816...a2n22n4n. n1 a2na2(n1)4n4(n1)4. {bn} 4 4 bnb1(n1)d44(n1)4n.

18.(12 ): 1 3bsinA acosB 3sinBsinA sinAcosB
ABC sinA 0 3sinB cosB tanB 3 3
0 B B 6
2 sinC 3sinA c 3a b2 a2 c2 2accosB 32 a2 c2 2accos
6 a2 c2 3ac 9 a 3 c 3 3

19. (12 ) :1 cos A cos2 A 0 2cos2 A cos A 1 0

cos A 1 cos A 1 A

2

3

B C 5

4

12

20. (12 ) 1CED AEC 3

4

44

AEC AC2 AE2 CE2 2AE CEcosAEC

160 64 CE2 8 2CE CE2 8 2CE 96 0 CE 4 2


2CDE CE CD sinCDE sinCED

5sinCDE 4

2

2 sinCDE 4

2

5

D BC CDE B 3

4 5

3 CDE cosCDE 3

2

5

cosDAB cos(CDE ) cosCDEcos sinCDEsin 3 1 4 3 4 3 3

3

3

3 5 2 5 2 10

21. (12 ) (1)|a|2( 3sin x)2(sin x)24sin2x |b|2(cos x)2(sin x)21 |a||b| 4sin2x1. x02 sin x12 x6 . (2)f(x)ab 3sin xcos xsin2x 23sin 2x12cos 2x12sin2x6 12 x3 02 sin2x6 1 f(x)32. 22. (12 ) (1) f(x)2 3sin xcos x2cos2x1

f(x) 3(2sin xcos x)(2cos2x1)

3sin 2xcos 2x2sin2x6 . f(x) .

f(x)2sin2x6 06 6 2 f(0)

1f6 2

f2 1 f(x)02 21.

(2)(1) f(x0)2sin2x06 . f(x0)65sin2x06 35. x04 2 2x06 23 76 .

cos2x06

1sin22x06 45.

cos 2x0cos2x06 6

cos2x06 cos6 sin2x06 sin6

3140 3.


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