北京市燕山地区2024-2025学年上学期七年级期中质量检测数学试卷

这是一份北京市燕山地区2024-2025学年上学期七年级期中质量检测数学试卷，文件包含七年级数学试卷docx、七年级数学答题卡docx、七年级数学答案docx等3份试卷配套教学资源，其中试卷共14页， 欢迎下载使用。

一、选择题（共20分，每题2分）
二、填空题（共16分，每题2分）
11．1.7； 12．>； 13．－6，－16； 14．（答案不唯一）；
15．； 16．； 17．，； 18．23，．
三、解答题（共64分，第19题16分，每小题4分；第20-21题，每题10分，每小题5分；第22-23题，每题5分；第24-26题，每题6分）
19．计算(本题满分16分，每小题4分)
解：（1）
＝12－3－7 ········································2分
＝2． ············· ···························4分
（2）
＝ ······· ·································2分
＝－(6.5×2×3)
＝－39． ········································4分
（3）
＝ ·········································2分
＝－7． ········································4分
（4）
＝ ········································3分
＝
＝． ·········································4分
20．化简(本题满分10分，每小题5分)
解：（1）
＝ ··········································2分
＝ ··········································4分
＝． ···········································5分
（2）
＝ ············································2分
＝ ·············································4分
＝． ·············································5分
21．解方程(本题满分10分，每小题5分)
解：（1）
， · ············································2分
， ·············································3分
， ·· ···········································4分
． ··········································· ··5分
（2）
， ···············································2分
， ···············································3分
， ···············································4分
． ···············································5分
22．(本题满分5分)
解：
＝ ················································2分
＝
＝ ··················································4分
当，时，
原式＝． ··················································5分
23．(本题满分5分)
解：（1）－1， 1； ··················································2分
（2）； ··················································4分
（3）． ···················································5分
24．(本题满分6分)
解：（1） ···················································1分
＝54km． ···················································2分
答：行程最多的一天比行程最少的一天多行驶了km．
（2） ·········································3分
＝50＋7÷7
＝51 km． ··············································4分
答：这七天中平均每天行驶51km．
（3） ···············································5分
＝752.76
≈753元． ············· ·································6分
答：小明家一个月(按30天计算)的汽油费用是元.
25．(本题满分6分)
解：（1）方案一： ·· ············ ·································1分
＝
＝元． ·· ············ ·································2分
方案二： ············ ·································3分
＝元． ············· ·································4分
（2）当时，
方案一：元，
方案二：元．
∵36000＞35200，
∴该中学选择方案二更省钱． ············· ·································6分
26．(本题满分6分)
解：（1） ①③ ； ············· ·································2分
（2） ； ············· ·································4分
（3）
＝＋
＝＋
＝． ············· ·································5分
是对称式． ············· ·································6分
说明：与参考答案不同，但解答正确相应给分．题号
1
2
3
4
5
6
7
8
9
10
选项
A
D
B
B
A
D
C
C
B
D