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湖南省娄底市届高三上学期期末教学质量检测数学(理科)试题Word版含答案


2016





12 5 60 . .

1.

z1

1 i, z2

1 i



i



z1 z2



A. 1 4

B. 2

C. 1 D. 1 2

2.

A. " a 1 a2 1"" a 1 a2 1"

B. ABC " A B " " sin2 A sin2 B "
C. " tan 3 " 3
D. x0 ,0 3x0 4x0
3."""
" n
A. 4 B. 5 C. 2 D. 3

ln x 1

4. y



x 1

y 2x 2

5.

x,

y





x x



y 2



2



0



y x

1 3



A.



,



1 5



B.



1 5

,1

C.





1 5

,

1 3



D.



1 3

,1

6. 1

S S R rl

A. 17 3 17

B. 20 5 17

C. 22

D. 17 5 17

7. ABC O 2 OA AB AC 0 CA CB


A. 3

B. 3

C. 3

D. 3

8. ABC A1B1C1 AB 2BB1 AB1 BC1

A.

B. C. 5

D.

6

3

12

2

9. y sin x 2cos x 0 x 1

sin 2

A. 3 5

B. 3 5

C. 4 5

D. 4 5

10. f x R , f x 1 f 0 0, x 0,1

f

x log2

x 8,9

f

x2

f



1 2





x



A. 17 2

B. 65 8

C. 33 D. 67

4

8

11. 10 1,





A. 12 B. 13 C. 15 D. 16

12.

f

x



ln x 1 x

ln

x,

f

x

x



x0

f

x0



x0



f

x0



x0



f

x0



x0



f

x0





1 2



f

x0





1 2



A. B. C. D.



4 5 20 .

13.

f

x



x 2, x 2, x 1

1

xf

x 1

10

x





.

14. a 2b 3c6 ab2c3

.

15. 96 cm 1cm

A,E, A





.

16. an a1 2, a2 6 an2 2an1 an 2 x x





2017 a1



2017 a2





2017 a2017





.

6 70 .. 17. 10

f x x2 1, g x a x 1.

1 x f x g x a

2 x R f x g x a .

18. 12

f x sin x 0,



2





y f x
4
y g x .

1 y g x

2 ABC

A,B,C

2 sin2

A 2

B



g



C



3





1



R=2 ABC .

19. 12

an

n



Sn



an





1 2

n1



2

n

.

1 bn 2n an bn an

2 cn



n

n

1

an

,

Tn



c1



c2



cn Tn .

20. 12
10 1 10 3
2 10 10 n n .
21. 12 2 ABC A1B1C1 A1ACC1 ABC A1AC 60 .
1 AA1 AB1C 2 D BD BA BC AA1 P, DP// AB1C P
.
22. 12 f x x ln x a x2 x a a R
2
. 1 a
2 x1, x2 x1 x2 0 x x2 e1 .
1-12 DCACB DBDDB CA

13.

14. -6480

15.

16.2016

17.|fx|=gx|x21|=a|x1||x1||x+1| a=0x=1 |x+1|=a 1 a0............5 xR fxgxx21a|x1|* xR x=1 * aR

x1 * a



x=

=

x1 x2 x1 x2 x2 a 2
a a2............10

18.













........................3





..................6






1







a=b





.........................12

19.I

n=1

......8







. 1 .
.......6

(II)I



-

......12

20.1 10 2 6



2

X 0,1,2,3

..................1





X

X0

1

2

3

P

...........................5

EX=

.................................6

(2) Y 10 Y

B

,





..................8



10









.....................






6..................12

21.1)

















...2



















......4









,















.....................6

2































...............10











.........12 22. fx0+ fx =0 0+ lnxax=0 0+ y=lnx y=ax 0+



y=lnx k 0ak

Ax0lnx0







x0=e

......4 y=a 0+





0xe gx0xe gx0 gx0e e+ gx=ge= gx 1 x0 gx x+ gx0
gx



y=a 0+



......4

gx=lnxax gx



x0

a0 gx0 0+ gx0+ gx

a0

gx0 gx0

gx





=



x0 gx x+gx

gx0







......4



1+ lnx1+ lnx2

x1x2 lnxax=0 lnx1=ax1lnx2=ax2 1+ ax1+ ax2=ax1+ x2 00x1x2





lnx1=ax1lnx2=ax2









0x1x2



t01



t01 ......8



=



21 t01ht0 ht t01 h1=0ht0 t01 21 t0 2ht0t 21 ht 0 ht t0 2 t 21 h1 =0 ht t01 0



21 0

1 ...12



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