山东淄博市淄川区2026-2027学年七年级上学期期中考试数学试卷

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初二数学试题

(时间120分 满分150分)

亲爱的同学们:

这份试题将再次记录你的自信、沉着、智慧和收获,老师会一直投给你信任的目光.请你认真审题,看清要求,仔细答题.祝你考出好成绩,为初二学年第一学期的期中数学学习画上圆满的句号!特别提醒:本次考试不允许使用计算器.

一、精心选一选(本题共12小题,在每小题所给出的四个选项中,只有一个是正确的,请选出你认为唯一正确的选项,涂到答题卡上,每小题4分,计48分).

1.下列四个运动项目图标,可以看作是轴对称图形的是

A.    B. 

C.    D.

2.下列四个图形中,线段是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的高的是

A.   B.

C.   D.

3.下列四个正多边形,其中对称轴条数最多的是

A.    B.

C.    D.

4.下列每组数分别是三根小棒的长度,用它们不能摆成三角形的是

A.    B.page number 0

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C.    D.

5.如图是三角形按常见关系进行分类的图,则关于,区域的说法正确的是

A.是等边三角形,是等腰三角形

B.是等腰三角形,是等边三角形

C.是直角三角形,是锐角三角形

D.是钝角三角形,是等腰三角形

6.如图,在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和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中,点,,在同一直线上,已知,,添加以下哪一个条件后,仍不能判定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的是

A.  B.  C.  D.

7.如图,圆柱的高为,底面周长为,在外侧距离下底的点处有一只蚂蚁,它想吃到与点相对、且在圆柱外侧离上底面的点处的食物,那么它沿圆柱侧面爬行的最短路径示意图是

A.    B.page number 1

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C.    D.

8.如图是我国古代著名的“赵爽弦图”的示意图,此图是由四个全等的直角三角形拼接而成,其中,。若连接,则的值是

A.   B.   C.   D.

9.如图,在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中,以点为圆心,的长为半径作弧交于点D,连接.若,,则等于

A.  B.  C.  D.

10.如图,将直角三角形纸片的角沿折叠,点落到纸片边缘的点处.若,则等于

A.  B.  C.  D.

11.如图,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,连接.若,,则图中阴影部分的面积为

A.   B.   C.   D.page number 2

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