一、选择题(本大题共12个小题,每题3分,共36分.在每小题给出的四个选项中,只有一项是符合题目要求的)
-
A . 售出20件纯净水
B . 售出60件纯净水
C . 购进20件纯净水
D . 售出
件纯净水
-
A . ﹣6
B . ﹣
C . 6
D .
-
-
A . 分数
B . 小数
C . 无限不循环小数
D . 0
-
A . 点P
B . 点Q
C . 点M
D . 点N
-
A . 2
B . 4
C .
D .
-
A . 7
B .
C . 3
D .
-
8.
(2024七上·石家庄月考)
某时刻电冰箱显示冷冻室的温度为
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E12%3C%2Fmn%3E%3Cmo%3E%E2%84%83%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 房间的温度为
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E22%3C%2Fmn%3E%3Cmtext%3E%E2%84%83%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 下列算式可以表示此时间温度与电冰箱冷冻室温度的温差的是( )
-
-
A . 加法结合律,加法交换律
B . 加法分配律,加法交换律
C . 加法交换律,加法结合律
D . 加法结合律,加法结合律
-
11.
(2024七上·石家庄月考)
一个点在数轴上从表示
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的点开始先向右移动1个单位长度,再向左移动3个单位长度后,这个点所表示的数是( )
-
A . 20,
B .
, 10
C . 4,
D .
二、填空题(本大题共4个小题,每小题3分,共12分.其中16小题第一空2分,第二空1分.把答案写在题中横线上)
-
-
-
15.
(2024七上·石家庄月考)
某校初一级举行篮球比赛,比赛规则是胜一场得3分,平一场得0分,负一场得-2分,结果初一(1)班胜2场,平1场,负3场,初一(1)班最后共得
分.
-
16.
(2024七上·石家庄月考)
珍珍同学在计算“
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E8%3C%2Fmn%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
”时,做法如下:
珍珍同学对照答案后发现计算结果是错误的,则她出错的步骤是第步(填序号),本题正确的结果应是.
三、解答题(本大题共8个小题、共72分、解答应写出文字说明、证明过程或演算步骤)
-
-
(1)
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E7%3C%2Fmn%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E12%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
;
-
(2)
-
-
-
-
(2)
将两组数合在一起,则这五个有理数的和为0,求“?”所表示的数.
-
-
(1)
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmfenced+open%3D%22%28%22+close%3D%22%29%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E21%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfenced+open%3D%22%28%22+close%3D%22%29%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E9%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmfenced+open%3D%22%7C%22+close%3D%22%7C%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E8%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfenced+open%3D%22%28%22+close%3D%22%29%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E12%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
;
-
(2)
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E6%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmfenced+open%3D%22%28%22+close%3D%22%29%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmfenced+open%3D%22%28%22+close%3D%22%29%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfenced+open%3D%22%28%22+close%3D%22%29%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmn%3E6%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmfenced%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
.
-
21.
(2024七上·石家庄月考)
某茶园出售一款花茶,标准质量为
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E200%3C%2Fmn%3E%3Cmtext%3Eg%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
/袋,随机抽查10袋茶叶,超出标准质量记作“
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%2B%3C%2Fmo%3E%3C%2Fmath%3E)
”,不足标准质量记作“
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3C%2Fmath%3E)
”(单位:
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmtext%3Eg%3C%2Fmtext%3E%3C%2Fmath%3E)
)统计数据如下:
-
(1)
求所抽查的10袋茶叶中,质量最多的一袋与质量最少的一袋的质量差;
-
-
22.
(2024七上·石家庄月考)
如图,在一条不完整的数轴上从左到右有点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmath%3E)
, 其中点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E)
到点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmath%3E)
的距离为3,点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmath%3E)
到点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmath%3E)
的距离为8,设点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmath%3E)
,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EC%3C%2Fmi%3E%3C%2Fmath%3E)
所对应的数的和是
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Em%3C%2Fmi%3E%3C%2Fmath%3E)
.
![](//tikupic.21cnjy.com/ct20241o/ee/66/ee66b80d1dcb2f04bab700a91f1e6d3a.png)
-
(1)
若以
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmath%3E)
为原点,则数轴上点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EA%3C%2Fmi%3E%3C%2Fmath%3E)
所表示的数是______,
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
______;
-
(2)
若原点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EO%3C%2Fmi%3E%3C%2Fmath%3E)
在图中数轴上,且点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EB%3C%2Fmi%3E%3C%2Fmath%3E)
到原点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3EO%3C%2Fmi%3E%3C%2Fmath%3E)
的距离为4,求
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmi%3Em%3C%2Fmi%3E%3C%2Fmath%3E)
的值.
-
23.
(2024七上·石家庄月考)
某数学兴趣小组设计了下面的数学游戏.
游戏规则:每人抽取4张写着有理数的卡片,如果抽到椭圆形卡片,那么就减去椭圆形卡片上的数;如果抽到长方形卡片、那么就加上长方形卡片上的数.
![](//tikupic.21cnjy.com/ct20241o/f4/14/f41453b51f4764392a1f74db56f7485b.png)
-
(1)
嘉嘉依次抽取到了如图1所示的4张卡片,按游戏规则,求嘉嘉的计算结果;
-
(2)
淇淇依次抽取到了如图2所示的4张卡片,则
①按游戏规则,直接写出淇淇的计算结果;
②比较两人所抽取4张卡片的计算结果,结果大的获胜.则嘉嘉和淇淇谁获胜?并说明理由.
-
24.
(2024七上·石家庄期中)
这么近,那么美,周末到河北!某景区为欢迎游客,开展无人机表演,无人机均在同一水平地面待机起飞,此时高度记为
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E0%3C%2Fmn%3E%3Cmtext%3Em%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 在表演过程中,其中一架无人机起飞后的高度变化如下表:
表演操作 | 高度变化 | 记作 |
动作一 | 上升![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E52m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E%2B52m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
|
动作二 | 下降![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E30m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmtext%3E30m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
|
动作三 | 上升![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E15m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E%2B15m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
|
动作四 | 下降![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E23m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E) | ![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmtext%3E23m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
|
-
(1)
完成动作一到动作四后,此时这架无人机比起飞点高了多少米?
-
(2)
如果无人机每上升或下降
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E1m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
需消耗2个单位电量,那么这架无人机在这四个动作表演过程中,一共消耗了多少个单位电量?
-
(3)
如果这架无人机又一次做表演时,有4个新的规定动作,起飞后高度变化如下:上升
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E39m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 下降
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E28m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 再上升
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E17m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
. 若要使这架无人机最终比起飞点高出
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmtext%3E10m%3C%2Fmtext%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
, 则第4个动作是上升还是下降,上升或下降多少米?