黑龙江齐齐哈尔市2021-2022学年高二上学期期末考试数学答案

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高二数学试卷参考答案及评分标准
.单选题:本大题共 8小题,每小题 5,共 40 .在每小题给出的四个选项中,只有一项是符合题目要求的.
题号
1
2
3
4
5
6
7
8
答案
B
C
D
C
A
A
C
D
.多选题:本大题共 4题,每小题 520 .在每小题给出的选项中,有多项符合题目要求,全部选
对的得 5分,有选错的得 0分,部分选对得 2.
题号
9
10
11
12
答案
AB
AB
ACD
ABD
.填空题:本大题共 4小题,每小题 5分,共 20 .把正确答案写在答题卡相应题的横线上.
13
14
48
151 16
2
x
1
2
n
n
(注:第一空 2分;第二空 3分)
.解答题:共 70 分,解答应写出文字说明、解答过程或演算步骤.
17.10 分)
解: 1【解法一】
直线
l
的斜率为
3
2
l
k
··················································································································································1分
ml //
直线
m
的斜率为
3
2
m
k
·························································································································2分
直线
m
的方程为
)2(
3
2
3xy
······················································································································3分
01332 yx
····························································································································································4分
【解法二】
ml //
直线
m
的方程为
032 Cyx
············································································································1分
直线
m
过点
1303322)3,2( CC
························································································3分
直线
m
的方程为
01332 yx
··························································································································4
2易知圆心
)2,1(C
,半径
1r
······························································································································5分
圆心
C
到直线
l
的距离
13
132
13
2
32
|62312|
22
d
······································································7分
13
136
13
4
122|| 22 drAB
··················································································································9分
线段
AB
的长为
13
136
···············································································································································10分
高二数学试卷参考答案及评分标准 第 2页(共 4 页)
18.12 分)
解:1设等差数列
}{ n
a
的公差为
d
109
1293
1023
122
1
1
14
52
da
da
aa
aa
1
1
1
d
a
·····································3 分
nnan1)1(1
等差数列
}{ n
a
的通项公式为
nan
···········································································5 分
2
n
nnb 2
··································································································································································6 分
nn
nnnS 22)1(232221 1321
①·····················································································7 分
1432 22)1(2322212
nn
nnnS
②·····················································································8 分
①-②得:
132 22222
nn
nnS
·······································································································9 分
1
2
21
)21(2
n
n
nnS
············································································································································10 分
数列
}{ n
b
的前
n
项和
22)1( 1n
nnS
············································································································12 分
19.12
解:1
)
3
cos(sin3
CbBc
,由正弦定理可得:
)
3
cos(sinsinsin3
CBBC
····················1分
CCCBB sin
2
3
cos
2
1
sin30sin0
·····················································································3分
3
3
tan C
··········································································································································································5分
6
0
CC
C
的大小为
6
·····················································································································6分
2
Cabbac cos2
222
bbc 612 22
·······························································································7分
22222 8233 bcabc
0236128 222 bbbbb
1b
,或
2b
···················9分
1b
时,
7c
2
3
sin
2
1CabS ABC
·····························································································10分
2b
时,
2c
3sin
2
1CabS ABC
································································································11分
ABC
的面积为
3
2
3
·········································································································································12 分
黑龙江齐齐哈尔市2021-2022学年高二上学期期末考试数学答案.pdf

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