湖南永州市宁远县2026-2027学年七年级上学期期中考试数学试卷

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2026年下期期中质量监测试卷

七年级数学(A卷)

一、单选题(共30分)

1.(本题3分)中国人最早使用负数,可追溯到两千多年前的秦汉时期,的相反数是(     )

A. B. C. D.

2.(本题3分)南海是我国固有领海,它的面积超过东海、黄海、渤海面积的总和,约为360万平方千米,360万用科学记数法表示为(     )

A. B. C. D.

3.(本题3分)下列各组代数式中,属于同类项的是(     )

A.与 B.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与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 C.与 D.与

4.(本题3分)在数,,,,,中,负数的个数是(     )

A.2 B.3 C.4 D.5

5.(本题3分)计算的值为(     )

A.-14 B.-4 C.-50 D.22

6.(本题3分)已知,,是有理数,,,则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(     )

A.3 B.-3或1 C.-1 D.1

7.(本题3分)规定一种新运算,则的值为(     )

A.-2 B.5 C.7 D.8

8.(本题3分)若,,则为(     )

A.  B.

C.  D.

9.(本题3分)一个有理数与它的相反数的积(     )

A.一定不小于0  B.符号一定为正

C.一定不大于0  D.符号一定为负page number 0

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10.(本题3分)一个正两位数,它的十位数字是,个位数字是,把它十位上的数字与个位上的数字交换位置得到新两位数,则的值总能(     )

A.被3整除  B.被9整除

C.被10整除  D.被11整除

二、填空题(共18分)

11.(本题3分)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的系数是_________;

12.(本题3分)数轴上表示整数的点称为整点,某数轴的单位长度是1厘米,若在这个数轴上随意画出一条长为2017厘米的线段,则线段盖住的整点的个数是_________.

13.(本题3分)将按升幂排列为_________.

14.(本题3分)我们知道,的最小值是_________.

15.(本题3分)_____.

16(本题3分)如图,将正整数按此规律排列成数表,则2026是表中第_________行,第_________列.

三、解答题(共72分)

17.(本题6分)计算:.

18.(本题8分)先化简,再求值:,其中eqWmf183GmgAAAAAAAOAHAAIBCQAAAADwWwEACQAAA68BAAACAKEAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADAIAAuAHCwAAACYGDwAMAE1hdGhUeXBlAABQABIAAAAmBg8AGgD/////AAAQAAAAwP///8b///+gBwAAxgEAAAUAAAAJAgAAAAIFAAAAFAJgAVIDHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7///9gytwCfEP0dUAAAAAEAAAALQEAAAwAAAAyCgAAAAADAAAAMSwyUpwA7gIAAwUAAAAUAmABTAAcAAAA+wKA/gAAAAAAAJABAQAAAAACABBUaW1lcyBOZXcgUm9tYW4A/v///2DK3AJ8Q/R1QAAAAAQAAAAtAQEABAAAAPABAAAKAAAAMgoAAAAAAgAAAHh5VgQAAwUAAAAUAmABVAEcAAAA+wKA/gAAAAAAAJABAAAAAQACABBTeW1ib2wAcwAACgBYi5AH/v///2DK3AJ8Q/R1QAAAAAQAAAAtAQAABAAAAPABAQAMAAAAMgoAAAAAAwAAAD0tPQIsATADAAOhAAAAJgYPADgBQXBwc01GQ0MBABEBAAARAQAARGVzaWduIFNjaWVuY2UsIEluYy4ABQEABwhEU01UNwABE1dpbkFsbEJhc2ljQ29kZVBhZ2VzABEFVGltZXMgTmV3IFJvbWFuABEDU3ltYm9sABEFQ291cmllciBOZXcAEQRNVCBFeHRyYQATV2luQWxsQ29kZVBhZ2VzABEGy87M5QASAAghLyfyXyGPIS9HX0FQ8h8eQVD0FQ9BAPRF9CX0j0JfQQD0EA9DX0EA8h8gpfIKJfSPIfQQD0EA9A9I9Bf0j0EA8hpfRF9F9F9F9F9BDwwBAAEAAQICAgIAAgABAQEAAwABAAQABQAKAQAQAAAAAAAAAA8BAgCDeAACBIY9AD0CBIYSIi0CAIgxAAIAgiwAAgCDeQACBIY9AD0CAIgyAAAACgAAACYGDwAKAP////8BAAAAAAAcAAAA+wIQAAcAAAAAALwCAAAAhgECAiJTeXN0ZW0AVfoBigoAAAoA4iRmVeIkZlX6AYoKWNTcAgQAAAAtAQEABAAAAPABAAADAAAAAAA=,.

19.(本题8分)有一道题目是一个多项式减,小明误当成了加法计算,结果得到,正确的结果应该是多少?

20.(本题9分)分类讨论是一种重要的数学方法,如在化简时,可以这样分类:当时,;当时,;当时,.用这种方法解决下列问题:page number 1

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