河南省驻马店市2019-2020学年高一下学期期末考试数学（文）答案

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驻马店市 2019～2020 学年度第二学期期终考试
高一（文科）数学试题参考答案
一、选择题：1-12：ABCBC DDAAB CC
二、填空题：13. 1 14.
396
15.
36
11
16. 3
三、解答题：
17. 解：
（Ⅰ）
11
1
,// 21
t
eeba
由不共线且
,····················································································2 分
1: t解得
;·······························································································································4 分
（Ⅱ）依题：令
)
2
3
,
2
1
(),0,1( 21 ee
，
若
2t
，则
3,3),
2
3
,
2
3
(),
2
3
,
2
3
(baba
，·············································6 分
设
的夹角为
),0(
，可得：
2
1
3
4
3
4
9
cos
ba
ba
，解得：
3
2
，······························································9 分
故所求
的夹角为
.········································································································10 分
18.解：
（Ⅰ） （Ⅱ）
分63
60sin2
10cos
10cos60sin2
10cos
)1060sin()1060sin(
10cos
50sin70sin
分123
40cos
)3010cos(3
40cos
10sin
2
3
10cos
2
3
40cos
)1030sin(10cos2
40cos
40sin80sin2
40cos
40sin40cos50cos4
40tan50cos4
高一数学（文）第 2页 共 4页
19.解：
（Ⅰ）由已知数据得：
414.2
7
9.16
,4 yx
，·······························································2 分
 
354.0
9410149
414.2475.77
7
7
1
2
7
1
i
i
i
ii
xx
yxyx
b
,··················································5 分
998.04354.0414.2 xbya
，············································································7 分
所以，
y
关于
x
的回归方程为：
135.0 xy
;···································································9 分
（Ⅱ）把
16x
代入回归方程得：
6.611635.0 y
,····················································10 分
所以预测 2 月 16 日全国累计报告确诊病例数为
6.6
万人.················································12 分
20.解：
（Ⅰ）由所给图像知；
2
312
5
2
3
4
3
,2
T
A
，
)2cos(2)(
xxf
，把点
)2,
12
5
(
代入得：
1)
6
5
cos(
，
即
Zkk ,2
6
5
，又
6
5
,
，
)
6
5
2cos(2)(
xxf
;········································································································3 分
由图像可知
0,
3
是其中一个对称中心，
所求对称中心为
Zk
k
,0,
23
.··················································································5 分
（Ⅱ）易知
1
6
5
12
2cos2
2
1
1
122
1
)(
xxfxg
，·······························7 分
化简得
 
1)2cos( xxg
，··································································································8 分
当
4
3
,
12
x
时：
由
Zkkxk ,222
得减区间是：
4
3
,
2
················································10 分
摘要：

高一数学（文）第1页共4页驻马店市2019～2020学年度第二学期期终考试高一（文科）数学试题参考答案一、选择题：1-12：ABCBCDDAABCC二、填空题：13.114.39615.361116.3三、解答题：17.解：（Ⅰ）111,//21teeba由不共线且,····················································································2分1:t解得;··································································...

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