黑龙江哈尔滨市德强学校2026-2027学年上学期七年级数学开学自我检测试题

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德强中学2026-2027学年度上学期七年级数学开学测试0904

一、选择题(30分)

1.下列四个数中,是负数的是(     )

A. B. C. D.

2.下列说法错误的是(     )

A.正数大于0  B.0大于负数

C.正数一定大于负数  D.两个数绝对值大的反而小

3.六五折写成百分数是(     )

A.65% B.6.5% C.0.65 D.650%

4.如图,数轴上一个点被叶子盖住了,这个点表示的数可能是(     )

A.2.3 B.-1.3 C.3.7 D.1.3

5.的值为(     )

A. B. C. D.

6.数轴上表示-3的点到原点的距离是(     )

A. B. C. D.

7.下列各数中,与-4的和是正数的是(     )

A.5 B.0 C.2D .-3

8.徐志摩的《泰山日出》一文描写了“泰山佛光”壮丽景象.若1月份的泰山山脚平均气温为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,山顶平均气温为,则山脚平均气温与山顶平均气温的温差是(     )

A.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 B.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 C. D.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

9.如图所示,根据有理数、、表示的点在数轴上的位置可得到它们的大小关系是(     )

A. B. C. D.

10.下列结论正确的有(     )个

(1)规定了原点,正方向和单位长度的直线叫数轴  (2)没有最小的整数  (3)正有理数,负有理数和零统称为有理数  (4)数轴上的点只表示有理数  (5)数轴上找不到既不表示正数,又不表示负数的点

A.1 B.2 C.3 D.4page number 0

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二、填空题(30分)

11.如果收入100元记作+100元,那么支出50元记作_________元.

12.在一个比例中,两个外项互为倒数,其中一个内项是5,则另一个内项是_________.

13.一个圆柱的底面半径是,高是,与它的体积是_________(保留)

14.若、互为相反数,则的值为_________.

15.化简:_________.

16.若,则_________.

17.一个热气球在200米的空中停留,然后它依次上升了15米,-8米,20米,这个热气球此时停留在_________米

18.根据所给的程序(如图)计算:当输入的数为时,输出的结果是_________.

19.如图,现有5张写着不同数字的卡片,请按要求完成下列问题:

若从中取出2张卡片,乘积的最大值是________.

20.已知数轴上两点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、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对应的数分别为3、9,在数轴上有另外一点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,当点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到、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两点的距离之差为3时,则点表示的数是_________.

三、解答题

21.计算(9分)

(1) (2)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  (3)

22.解方程(共9分)

(1)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    (2)    (3)(解比例方程)

23.将这根水管表面(内外)刷漆,求刷油漆的面积和这根水管的体积(单位:米)(6分)

24.简便运算(9分)page number 1

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