内容正文:
数学4开-1
数学4开-2
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数学试题参考答案与评分标准 第 1 页(共 4 页)
2021 年中考模拟考试
数学试题参考答案与评分标准
说明:本评分标准每题只给出了一种解法供参考,如果考生的解法与本解答不同,参照本评
分标准给分.
一、选择题(本大题共 10 小题,每小题 3 分,共 30 分)
题号 1 2 3 4 5 6 7 8 9 10
选项 B C A D D C A B A B
二、填空题(本大题共 8 小题,第 11~12 小题每小题 3 分,第 14~18 小题每小题 4 分,共
30 分)
11.2 12.100 13.n(m-2)2 14.30
15.
600 450
50x x
16.
3
8
17.4042 18.4
三、解答题(本大题共 8 小题,共 90 分)
19.(1)(本小题满分 4 分)
解:原式=2(m2-2m+1)-(4m2-9) ································································ 2 分
=2m2-4m+2-4m2+9 ····························································· 3 分
=-2m2-4m+11; ································································· 4 分
19.(2)(本小题满分 6 分)
解:方程两边同时乘以 3(x+1)得:3x=2x+3x+3; ·········································· 3 分
解得 x=
3
2
- ;············································································· 5 分
检验:当 x=
3
2
- 时,3(x+1)≠0,
所以原分式方程的解为 x=
3
2
- ······················································· 6 分
20.(本小题满分 10 分)
解:(1)设 l1:y=kx+b,又 A(-4,0),B(0,8),
∴
4 0,
8.
k b
b
················································· 2 分
∴
2,
8.
k
b
························································ 4 分
∴y=2x+8. ···················································· 5 分
(2)由题意,得 l2:y=-x, ··········································································· 6 分
∴
2 8,
.
y x
y x
解得
8
3
8
3
x
y
,
.
······································································· 8 分
y
O
x
A
(第 20 题)
B
C
数学试题参考答案与评分标准 第 2 页(共 4 页)
∴C(
8
3
,
8
3
). ·················································································· 9 分
∴S△AOC=
1 8 16
4
2 3 3
. ······································································ 10 分
21.(本小题满分 8 分)
(1)小林,180. ······················································································· 4 分
(2)小美:只调查男生数据,不能代表九年级学生的情况,还应对女生进行调查.
小丽:只调查 10 名同学,样本不容易具有代表性,应适当增大样本容量. ·····