上海市竹园中学(五四制)2025-2026学年七年级上册10月练习数学试题(图片版,含答案)

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上海市竹园中学(五四制)2025-2026学年七年级上册10月练习数学试题(图片版,含答案)

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七年级数学参考答案及评分标准
一、选择题(本大题共 6 题,每题 2 分,满分 12 分)
题号 1 2 3 4 5 6
答案 C D B B A D
二、填空题(本大题共 12 题,每题 3 分,满分 36 分)
3
7.三、三; 6 8. 2ab ; 9.16x ; 10. 6x y ;
11.4x2 20xy 25y2 ; 12. 2; 13.64 ; 14.2y5+xy3-3x4y-x5;
15.1; 16.6 ; 17.6xy+4y2; 18. 6075;
三、解答题(本大题共 9 小题,第 19 至 22 题每题 4 分,第 23、24 题每题 6 分,第 25 至 27 题 8 分,
共 52 分)
19.解:原式= 2ax 3ax + 5by 4by 7by ............................................................................. (2 分)
ax 8by ..................................................................................................................... (2 分)
.解:原式=15x 3x2 10 x220 5 x 40 ......................................................................................... (2 分)
=(-3-10)x +(15-5)x-40
................................................................................ (1 分)
=-13x +10x-40 ......................................................................................................( 1 分)
.解:原式= 8a3b6 a2b221 3ac ...................................................................................................... (2 分)
= 24a6b8c ..................................................................................................................... (2 分)
22.解:原式=2x 3x+2x 2y 5y 3x+5y 2y ..................................................................... (2 分)
6x2 4xy 15xy 10y2 ............................................................................................. (1 分)
6x2 11xy 10y2 ........................................................................................................ (1 分)
23.解:原式=a2 4 3a a2 ............................................................................................................ (4 分)
= 4+3a .......................................................................................................................... (2 分)
七年级数学参考答案及评分标准 第 1 页 共 2 页
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2 2
24.解:原式= a 1 3b ............................................................................................................ (4 分)
=a2 2a 1 9b2 ........................................................................................................... (2 分)
2 3
25.解:(1)原式 am an ....................................................................................................... (2 分)
62 23 ................................................................................................................... (1 分)
44; ...................................................................................................................... (1 分)
2
(2)原式 am an .............................................................................................................. (2 分)
6 22 ..................................................................................................................... (1 分)
24; ...................................................................................................................... (1 分)
26.解:原式=x4+nx3+3x2-3x3-3nx2-9x+mx2+mnx+3m ........................................................ (2 分)
=x4+(n-3)x3+(3-3n+m)x2+(mn-9)x+3m, ........................................................ (2 分)
∵乘积中不含 x2 和 x3 项,
∴n-3=0,3-3n+m=0, ........................................................................................ (1 分+1 分)
解得:m=6,n=3. .................................................................................................... (1 分+1 分)
2
27.解:(1)① a b a2 b2 2ab ............................................................................................ (1 分)
②3a2 4ab b2 ............................................................................................................. (1 分)
(2) .............................................................................................................. (2 分)
2a b a 2b 2a2 5ab 2b2
.................................................................................... (1 分)
2 2(3)4a 10ab 4b2 2 2a 5ab 2b2
由(2)可得: 2a b a 2b 2a2 5ab 2b2,
4a2 10ab 4b2 2 2a b a 2b , ................................................................ (1 分)
5
2a b a 2b 2a2 5ab 2b2 , ............................................................ (1 分)
2
1
∴当a 2b 时,2a b 5 ..................................................................................... (1 分)
2
七年级数学参考答案及评分标准 第 2 页 共 2 页
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