广东佛山市顺德区2025-2026学年第二学期七年级数学期末供题训练

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2025学年第二学期七年级供题训练(数学)

说明:本试卷共6页,满分120分,考试时长120分钟.

注意事项:

1.选择题、填空题和解答题的答案写在答题卡上,写在试卷上不计成绩.

2.作图(含辅助线)和列表时用铅笔(如2B铅笔),要求痕迹清晰.

一、选择题:本题共10小题,每小题3分,共30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.

1.可以表示为(     )

A.3 B.-3 C. D.

2.下列四个选项中,不一定是轴对称图形的是(     )

A.角image  B.长方形image

C.等腰三角形image D.直角三角形image

3.平常我们所说的光大多数指可见光.红橙黄绿蓝靛紫七种色光,是波长范围在到之间的电磁波..数据0.00000078用科学记数法表示为(     )

A. B. C. D.

4.下列运算正确的是(     )

A. B. C. D.

5.一个不透明的袋子中装有1个红球、2个白球和3个黑球,这些球除颜色外完全相同.从中任意摸出2个球,下列说法正确的是(     )

A.摸出2个球颜色不同是必然事件 B.摸出2个球颜色相同是随机事件

C.摸出红球是不可能事件 D.摸出黄球是随机事件

6.如图,已知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,要使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,的度数应为(     )page number 0

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A. B. C. D.

7.三角形一边长为2,另一边长为6,它的第三边的长可能是(     )

A.1 B.3 C.7 D.11

8.如图,梯形的上底是,下底是15,高是6,面积是.下列结论正确的是(     )

A.随的增大而减小  B.当时,

C.  D.当每增加1时,增加6

9.有五个连续整数,用其中最大两个数的乘积减去最小两个数的乘积,所得的差一定含有因数(     )

A.4 B.6 C.8 D.9

10.游戏时,3名同学在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活动区内的同一点处同时出发,先跑出活动区者获胜.为使游戏公平,出发点最适当的位置应设置在(     )

A.三条角平分线的交点  B.三边垂直平分线的交点

C.三边中线的交点  D.三边上高的交点

二、填空题:本题共5小题,每小题3分,共15分.

11.________.

12.若,则________.

13.如图,一块三角形模具不慎被打碎为三块.若只带其中一块去商店配一块与原来一样的三角形模具,应带________(填序号①②③).page number 1

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14.某射击运动员在同一条件下进行射击,结果如下表所示:

射击总次数

10

20

50

100

200

500

1000

2000

击中靶心的频率

0.9

0.8

0.80

0.88

0.84

0.858

0.861

0.858

估计该运动员射击一次便命中靶心的概率为________.(保留小数点后两位)

15.如图,四边形的面积是15.边、、、的中点分别为、、、.若与相交于点,则图中阴影部分的总面积为________.

三、解答题:本题共8小题,共75分.

16.(本题满分10分)(1)计算::

(2)当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,时,求代数式的值.

17.(本题满分7分)任意掷一枚质地均匀的正方体骰子(各面上的数字分别是1,2,3,4,5,6)两次.

(1)直接写出第一次点数结果为3的概率;

(2)第一次点数结果为3,求出第二次点数结果与第一次点数结果之积为偶数的概率.

18.(本题满分7分)如图,线段、相交于点,连接、.给出下列条件:

①点为中点;②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于;③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;④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.page number 2

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