江苏盐城市大丰区部分校2026-2027学年八年级上学期11月期中数学试题(无答案)

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八年级数学

注意事项:

1.本试卷考试时间为120分钟,试卷满分150分,考试形式闭卷.

2.本试卷中所有试题必须作答在答题卡上规定的位置,否则不给分.

3.答题前,务必将姓名、准考证号用0.5毫米黑色墨水签字笔填写在试卷及答题卡上.

一、选择题(本大题共有8小题,每小题3分,共24分)

1.下列选项中的图形与如图全等的是(     )

image

A.image  B.image

C.image  D.image

2.“16的平方根是”用数学符号表示正确的是(     )

A.  B.  C.  D.

3.下列每组数分别表示3根小木棒的长度(单位:),其中能搭成一个三角形的是(     )

A.5,7,12  B.7,7,15  C.6,8,12  D.6,9,16

4.如图,已知,要使,不能添加的条件是(     )

image

A.CA平分  B.AC平分  C.  D.page number 0

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5.如图,三个正方形围成一个直角三角形,两个较小正方形的面积分别为81,100,则最大的正方形的边长为(     )

image

A.181  B.19  C.  D.

6.尺规作图中蕴含着丰富的数学知识和思想方法.如图,为了得到,在用直尺和圆规作图的过程中,得到的依据是(     )

imageimage

A.SAS  B.SSS  C.ASA  D.AAS

7.如图,为了让电线杆垂直于地面,工程人员的操作方法是:从电线杆上一点往地面拉两条长度相等的固定绳与,当固定点,到杆脚的距离相等,且,,在同一直线上时,电线杆就垂直于,工程人员这种操作方法的依据是(     )

image

A.等边对等角  B.等角对等边  C.垂线段最短  D.等腰三角形“三线合一”

8.清初数学家梅文鼎在著作《平三角举要》中,对南宋数学家秦九韶提出的计算三角形面积的“三斜求积术”给出了一个完整的证明,证明过程中创造性地设计直角三角形,得出了一个结论:如图,是锐角的高,则eqWmf183GmgAAAAAAACARwAQACQAAAADxSwEACQAAAykDAAAEAOgAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALABCARCwAAACYGDwAMAE1hdGhUeXBlAAAAARIAAAAmBg8AGgD/////AAAQAAAAwP///6n////gEAAAaQQAAAgAAAD6AgAAEAAAAAAAAAIEAAAALQEAAAUAAAAUAmAC1gMFAAAAEwJgAr4EBQAAABQCYAIoCQUAAAATAmACCBAFAAAACQIAAAACBQAAABQCIgFJCxwAAAD7AiD/AAAAAAAAkAEAAAAAAAIAEFRpbWVzIE5ldyBSb21hbgDw0o8CYUoUdyAJGncAAAAABAAAAC0BAQAKAAAAMgoAAAAAAgAAADIyFgTAAQUAAAAUAs4B6gMcAAAA+wKA/gAAAAAAAJABAAAAAAACABBUaW1lcyBOZXcgUm9tYW4A8NKPAmFKFHcgCRp3AAAAAAQAAAAtAQIABAAAAPABAQAJAAAAMgoAAAAAAQAAADEAAAMFAAAAFALsA/ADHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAPDSjwJhShR3IAkadwAAAAAEAAAALQEBAAQAAADwAQIACQAAADIKAAAAAAEAAAAyAAADBQAAABQCzgFgCRwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgDw0o8CYUoUdyAJGncAAAAABAAAAC0BAgAEAAAA8AEBAA0AAAAyCgAAAAAEAAAAQUJBQ+oACAPqAAADBQAAABQCwAJGABwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgDw0o8CYUoUdyAJGncAAAAABAAAAC0BAQAEAAAA8AECAA0AAAAyCgAAAAAEAAAAQkRCQ+oAmATqAAADBQAAABQC7AOiCxwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgDw0o8CYUoUdyAJGncAAAAABAAAAC0BAgAEAAAA8AEBAAoAAAAyCgAAAAACAAAAQkPqAAADBQAAABQCuQH0BBwAAAD7AoD+AAAAAAAAkAEAAAABAAIAEFN5bWJvbAB3I3UWd0AAAADw0o8CYUoUdyAJGncAAAAABAAAAC0BAQAEAAAA8AECAAoAAAAyCgAAAAACAAAA5vZMCwADBQAAABQCzgEgDAkAAAAyCgAAAAABAAAALfgAAwUAAAAUAsACpAIKAAAAMgoAAAAAAgAAAD0rZAUAAwUAAAAUAhkD9AQKAAAAMgoAAAAAAgAAAOf3TAsAAwUAAAAUAksE9AQKAAAAMgoAAAAAAgAAAOj4TAsAA+gAAAAmBg8AxgFBcHBzTUZDQwEAnwEAAJ8BAABEZXNpZ24gU2NpZW5jZSwgSW5jLgAFAQAHBERTTVQ3AAETV2luQWxsQmFzaWNDb2RlUGFnZXMAEQVUaW1lcyBOZXcgUm9tYW4AEQNTeW1ib2wAEQVDb3VyaWVyIE5ldwARBE1UIEV4dHJhABNXaW5BbGxDb2RlUGFnZXMAEQbLzszlABIACCEvJ/JfIY8hL0dfQVDyHx5BUPQVD0EA9EX0JfSPQl9BAPQQD0NfQQDyHyCl8gol9I8h9BAPQQD0D0j0F/SPQQDyGl9EX0X0X0X0X0EPDAEAAQABAgICAgACAAEBAQADAAEABAAFAAoBABAAAAAAAAAADwECAINCAAIAg0QAAgSGPQA9AwALAAAPAAEADwECAIgxAAAPAAEADwECAIgyAAAAAwABAwAPAAEADwECAINCAAIAg0MAAgSGKwArAwALAAAPAAEADwECAINBAAIAg0IADwADABwAAAsBAQEADwECAIgyAAAACgIEhhIiLQIAg0EAAgCDQwAPAAMAHAAACwEBAQAPAQIAiDIAAAAACg8AAQAPAQIAg0IAAgCDQwAAAAACAJYoAAIAlikAAAAACgAAACYGDwAKAP////8BAAAAAAAIAAAA+gIAAAAAAAAAAAAABAAAAC0BAgAcAAAA+wIQAAcAAAAAALwCAAAAhgECAiJTeXN0ZW0AAIkGigIAAAoABgAAAIkGigL/////0NyPAgQAAAAtAQMABAAAAPABAQADAAAAAAA=.若,则以为直角边作一个等腰直角三角形,则这个等腰直角三角形的面积为(     )page number 1

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image

A.10  B.12  C.13  D.37

二、填空题(本大题共8小题,每小题3分,共24分)

9.计算: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___________.

10.等腰三角形的一个底角为,则它的顶角的度数为___________.

11.长江江豚是国家一级重点保护野生动物,有一头成年长江江豚体重为,将该数据精确到是___________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.

12.如图,的边的垂直平分线交于点,连接.若,则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___________.

image

13.工程建筑中经常采用三角形的结构.如图是屋架设计图的一部分,是斜梁的中点,立柱垂直于横梁.若,则的长为___________.

image

14.公元3世纪,我国古代数学家刘徽就能利用近似公式得到无理数的近似值,其中取正整数,且取尽可能大的正整数.例如:把化成,再根据近似公式得出,若利用此公式计算的近似值时,则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___________..

15.如图,在中,,平分.连接和,则___________.(填“>”、“<”或“=”)page number 2

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