广西壮族自治区防城港市防城区2026-2027学年七年级上学期11月期中数学试题

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2026年秋季学期七年级数学科期中质量检测题

范围:P1~P87(时间:120分钟  满分:120分)

一、选择题(共12小题,每小题3分,共36分)

1.下列各对量中,具有相反意义的量是(     )

A.向西走与向北走 B.气温下降与气温上升

C.扩大10倍与增加10% D.足球比赛胜2场与足球比赛平1场

2.数轴上表示-2的点与表示3的点之间的距离是(     )

A.1 B.2 C.5 D.-5

3.我国某年粮食总产量约为695000000吨,用科学记数法表示为(     )

A. B. C. D.

4.用四舍五入法把3.295精确到0.01取近似值,所得结果是(     )

A.3.29 B.3.295 C.3.30 D.3.31

5.下列代数式书写规范的是(     )

A.元 B. C. D.

6.下列计算正确的是(     )

A.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 B. C. D.

7.某商品每件售价为元,购买件后付款100元,应找回(     )元

A. B. C. D.

8.我国是最早认识负数,并进行相关运算的国家.古籍中记载了利用算筹实施“正负术”的方法,若图1表示的是计算的过程,则图2表示的过程是(     )

A. B. C. D.

9.用代数式表示“a与3的和的2倍”,正确的是(     )page number 0

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A. B. C. D.

10.已知,则代数式的值为(     )

A.7 B.3 C.5 D.2

11.如图,数轴上,两点分别对应有理数,,则下列结论:①;②;③;④,其中正确的有(.)

A.1个 B.2个 C.3个 D.4个

12.小明观察家里的地砖花纹发现,地砖的花纹中还蕴藏着数学知识,其中第①个图案中有5朵花,第②个图案中有8朵花,第③个图案中有11朵花,…,按此规律排列下去,则第10个图案中花朵的个数为(     )

A.26 B.29 C.32 D.35

二、填空题(共4小题,每小题3分,共12分)

13.-3的绝对值是_________,倒数是_________,相反数是_________.

14.数轴上点表示的数是-3,将点沿数轴先向右移动4个单位长度,再向左移动6个单位长度,此时点表示的数是_________.

15.如图是一个数值转换机的示意图,若输入的数,则输出的数_________.

image

16.规定一种新的运算“※”:对于任意有理数、,都有eqWmf183GmgAAAAAAAGAIwAEBCQAAAACwVwEACQAAA38BAAACAKEAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALAAWAICwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///8b///8gCAAAhgEAAAUAAAAJAgAAAAIFAAAAFAJgAS4AHAAAAPsCgP4AAAAAAACQAQEAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7///9IzN4CfENRdkAAAAAEAAAALQEAAA8AAAAyCgAAAAAFAAAAYmFiYWIARgLAABYCEAIAAwUAAAAUAmABSAEcAAAA+wKA/gAAAAAAAJABAAAAAQACABBTeW1ib2wA4QAACgCY0VYR/v///0jM3gJ8Q1F2QAAAAAQAAAAtAQEABAAAAPABAAAMAAAAMgoAAAAAAwAAAD0tLQDuAhwCAAOhAAAAJgYPADgBQXBwc01GQ0MBABEBAAARAQAARGVzaWduIFNjaWVuY2UsIEluYy4ABQEABwhEU01UNwABE1dpbkFsbEJhc2ljQ29kZVBhZ2VzABEFVGltZXMgTmV3IFJvbWFuABEDU3ltYm9sABEFQ291cmllciBOZXcAEQRNVCBFeHRyYQATV2luQWxsQ29kZVBhZ2VzABEGy87M5QASAAghLyfyXyGPIS9HX0FQ8h8eQVD0FQ9BAPRF9CX0j0JfQQD0EA9DX0EA8h8gpfIKJfSPIfQQD0EA9A9I9Bf0j0EA8hpfRF9F9F9F9F9BDwwBAAEAAQICAgIAAgABAQEAAwABAAQABQAKAQAQAAAAAAAAAA8BAgCDYgACBIY9AD0CAINhAAIAg2IAAgSGEiItAgCDYQACBIYSIi0CAINiAAAACgAAACYGDwAKAP////8BAAAAAAAcAAAA+wIQAAcAAAAAALwCAAAAhgECAiJTeXN0ZW0AH8UBigoAAAoAYx9mH2MfZh/FAYoKQNbeAgQAAAAtAQAABAAAAPABAQADAAAAAAA=.例如: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,计算: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的值为________.

三、解答题(本大题共7小题,共72分.解答应写出文字说明、证明过程或演算步骤.)

17.(8分)计算:page number 1

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