广东东莞市黄江中学2026-2027学年七年级第一学期数学期中质量检测(无答案)

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2026-2027学年第一学期期中质量检测七年级数学

(时长:120分钟)

命题人:曹灏英    审题人:蒋晓艳

一、单选题(本大题共10小题,每小题3分,共30分)

1.若收入80元,记作+80元,那么-60元表示(     )

A.收入60元 B.收入40元 C.支出40元 D.支出60元

2.在数中,有理数的个数是(     )

A.6个 B.5个 C.4个 D.3个

3.今年黄江中学一共开设了84个教学班,84的倒数是(     )

A.-84 B. C. D.84

4.一年之中地球与太阳之间的距离随时间而变化,1个天文单位是地球与太阳之间的平均距离,约为1.496亿千米.149600000用科学记数法可以表示为(     )

A. B. C. D.

5.下列计算正确的是(     )

A. B. C. D.

6.一个三位数,个位数是,十位数是,百位数是,这个三位数是(     )

A. B. C. D.

7.计算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的结果为(     )

A. B. C. D.

8.如果,那么的值为(     )

A.-2027 B.2027 C.-1 D.1

9.若代数式,则代数式的值是(     )

A.1 B.-1 C.4 D.-4

10.如图是一个计算程序,若输入的值为-2,则输出的结果应为(     )

image

A.-17 B.-14 C.1 D.22

二、填空题(每小题3分,共15分)

11.单项式的系数是_____.

12.圆周率精确到千分位的近似数是_____.

13.比较大小:eqWmf183GmgAAAAAAAMAE4AMBCQAAAAAwWQEACQAAA+YBAAAEALAAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALgA8AECwAAACYGDwAMAE1hdGhUeXBlAADAABIAAAAmBg8AGgD/////AAAQAAAAwP///7j///+ABAAAmAMAAAgAAAD6AgAAEAAAAAAAAAIEAAAALQEAAAUAAAAUAgACSAEFAAAAEwIAAjACBQAAABQCAAKYAwUAAAATAgACgAQFAAAACQIAAAACBQAAABQCbgFiARwAAAD7AoD+AAAAAAAAkAEAAAAAAAIAEFRpbWVzIE5ldyBSb21hbgD+////gMpzAExaQnVAAAAABAAAAC0BAQAKAAAAMgoAAAAAAgAAADMyUAIAAwUAAAAUAowDYgEcAAAA+wKA/gAAAAAAAJABAAAAAAACABBUaW1lcyBOZXcgUm9tYW4A/v///4DKcwBMWkJ1QAAAAAQAAAAtAQIABAAAAPABAQAKAAAAMgoAAAAAAgAAADQzUAIAAwUAAAAUAmACOgAcAAAA+wKA/gAAAAAAAJABAAAAAQACABBTeW1ib2wABAAACgDY5jUH/v///4DKcwBMWkJ1QAAAAAQAAAAtAQEABAAAAPABAgAKAAAAMgoAAAAAAgAAAC0tRAIAA7AAAAAmBg8AVQFBcHBzTUZDQwEALgEAAC4BAABEZXNpZ24gU2NpZW5jZSwgSW5jLgAFAQAHBERTTVQ3AAETV2luQWxsQmFzaWNDb2RlUGFnZXMAEQVUaW1lcyBOZXcgUm9tYW4AEQNTeW1ib2wAEQVDb3VyaWVyIE5ldwARBE1UIEV4dHJhABNXaW5BbGxDb2RlUGFnZXMAEQbLzszlABIACCEvJ/JfIY8hL0dfQVDyHx5BUPQVD0EA9EX0JfSPQl9BAPQQD0NfQQDyHyCl8gol9I8h9BAPQQD0D0j0F/SPQQDyGl9EX0X0X0X0X0EPDAEAAQABAgICAgACAAEBAQADAAEABAAFAAoBABAAAAAAAAAADwECBIYSIi0DAAsAAA8AAQAPAQIAiDMAAA8AAQAPAQIAiDQAAAACBIYSIi0DAAsAAA8AAQAPAQIAiDIAAA8AAQAPAQIAiDMAAAAAAGkKAAAAJgYPAAoA/////wEAAAAAAAgAAAD6AgAAAAAAAAAAAAAEAAAALQECABwAAAD7AhAABwAAAAAAvAIAAACGAQICIlN5c3RlbQAAtACKBQAACgBMEmaDTBJmg7QAigVg1HMABAAAAC0BAwAEAAAA8AEBAAMAAAAAAA==_______(填“>”、“<”或“=”).

14.一种商品每件标价为元,按标价的8折出售,则每件商品的售价是_____元.

15.观察下列图形,它们是按一定规律排列的,按此规律,第2026个图形中“○”的个数为_____.page number 0

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三、解答题(一)(本大题共3小题,每小题8分,共24分)

16.计算:

(1)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

(2)

17.如图,数轴上每个刻度为1个单位长度,点表示的数是-3.

image

 

(1)在数轴上标出原点,并指出点所表示的数是_____;

(2)补全数轴,并在数轴上表示下列各数,然后用“<”号把这些数按从小到大连接起来.

2..

18.已知多项式是六次四项式,单项式的次数与这个多项式的次数相同.

(1)求的值.

(2)求多项式的各项的系数和.

四、解答题(二)(本大题共3小题,每小题9分,共27分)

19.已知有理数在数轴上的对应点分别是,其位置如图所示.

image

(1)由图可知:_____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__________0(填""、""或"等号");

(2)化简.

20.如图,正方形的边长为.

image

(1)根据图中数据,用含的代数式表示阴影部分的面积;

(2)当时,求阴影部分的面积.page number 1

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