黑龙江省哈尔滨市三中2021-2022学年高一上学期期末考试数学试题答案

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哈三中 2021-2022 学年度上学期第二模块 数学 答案
一、选择题:
1-8DCCB BADB
9. BC 10.ABD 11.AD 12.AD
二、填空题:
13. 6
14.
+ ,1 ,
12 4
kk Z
 
 
 
15.
 
2, 4
16.
 
5 5
, 2
2 2
 
   
 
 
 
三、解答题:
17. 1
 
23
cos sin 1 2sin cos 4
 
 
3
cos sin , cos sin
4 2 2
 
 
 
 
 
 
··········4
2)原式=
tan 1
···································6
2 2 2
sin cos tan 1
sin cos sin cos tan 1 8
 
   
 
 
可得
tan =4 15
·································10
18. 1)由奇函数可得:
 
2 2
2 2 2 2
1+ 1 1
log log log 0
1 1 1
ax ax a x
f x f x x x x
 
 
 
2 2
2
2
11 1 1
1
a x a a
x
   
························4
 
f x
定义域为
 
, 1 1,  
······················6
2
   
2 2
+ log 1 log 1F x f x x x  
,则
 
F x
 
1, 
单调递增
 
1 1F x F 
1m 
······························12
19. 1
tan 3 3
 
   
= =3
2 3
T
 
 
 
=2sin 3 3
f x x
 
 
 
 
······························6
2)单调递增区间为:
2 5 2
, ,
18 3 18 3
k k k Z
 
 
 
 
 
·······12
20. 1
 
1
= sin 2 6 2
f x x
 
 
 
 
·····························2
,
6
x x x k k Z
 
 
 
 
时取得最大···················6
2)表格如下
x
0
6
5
12
2
3
11
12
26
x
6
2
3
2
2
13
6
y
1
3
2
1
2
1
2
1
2
1
····················································8
图像略·······················12 分 (平滑曲线,标好刻度)
21.1
 
 
21
ln 4
g f x x mx R
 
 
 
值域为
 
21 0 , 1 1,m m   
···············4
2
 
x
h x e
 
 
   
21.
4
x x
f h x e m e 
 
21
, 1, , 4
x
e t t e y t mt  
min
1 5
1 2 1 , 0
2 4 4
mm y m m   即 时,
黑龙江省哈尔滨市三中2021-2022学年高一上学期期末考试数学试题答案.pdf

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