广西柳州2022届高三三模——理数 PDF版含答案
1
柳州市 2022 届高三第三次模拟考试
理科数学参考答案
一、选择题(本题共 12 小题,每小题 5 分,共 60 分.)
二、填空题(本题共 4 小题,每小题 5 分,共 20 分.)
13.
5
; 14.
3
; 15.
16
; 16.
5
4
.
三、解答题(共 70 分,解答应写出文字说明、证明过程或演算步骤.)
17.解:(1) 因为
,由诱导公式得 ·············· 1 分
由正弦定理得 ·······················································································2 分
······································································································3 分
cosA
·····························································································4 分
····································································································································5 分
∵
······················································································································ 6 分
(2)∵ 成等比数列 ···································································7 分
又因为
··································································8 分
·············································································9 分
·················································································· 10 分
························································································ 11 分
又 ∵
,△ 为等边三角形·································································· 12 分
18.解:因为
,令
,则
可转化为
,·················· 2 分
与的相关系数为:
·············································· 3 分
×
············································································································4 分
因为 ,所以用反比例函数模型拟合效果更好·············································5 分
(2)
−××
−×
····················································7 分
则
− × ··································································9 分
题号
1
2
3
4
5
6
7
8
9
10
11
12
答案
C
C
A
B
D
D
A
B
D
B
B
A
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