福建省莆田市秀屿区北京大学附属中学莆田学校2025-2026学年 八年级上学期期中考数学试卷

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2025-2026学年北大附中八年级上学期期中考试卷

数学试题

一、单选题(本题共10小题,每小题4分,共40分)

1.第19届杭州亚运会上,中国运动员全力以赴地参赛,最终取得骄人战绩.下列运动标识中,是轴对称图形的是(     )

A.image  B.image  C.image  D.image

2.小芳有两根长度为和的木条,她想钉一个三角形木框,桌上有下列长度的几根木条,她应该选择长度为(     )的木条.

A.  B.  C.  D.

3.如图,,,添加以下条件,不能使的是(     )

imageimage

A.  B.  C.  D.

4.如图,在已知中,,,则下列结论中错误的是(     )

image

A.  B.  C.  D.

5.如图,在中,是的垂直平分线,若,,则的周长为(     )page number 0

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image

A.10  B.14  C.20  D.22

6.如图,在中,,,则的度数为(     )

image

A.  B.  C.  D.

7.一副三角板按如图所示方式叠放在一起,则图中的度数是(     )

image

A.  B.  C.  D.

8.图1是长方形纸条,,将纸条沿折叠成折叠成图2,则图中的的度数是(     )

C:\Users\ASUS\AppData\Local\Temp\QQ_1794378243597.png

A.  B.  C.  D.

9.如图,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,,若,则等于(     )

imagepage number 1

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A.10  B.  C.5  D.2.5

10.如图,已知是等边三角形,点分别在边上,交于点,.FG为的角平分线,点在的延长线上,,连接.①;②;③:④;其中说法正确的有(     )

image

A.②③④  B.①③④  C.①②④  D.①②③

二、填空题(本题共6小题,每小题4分,共24分)

11.空调安装在墙上时,一般都会采用如图所示的方法固定,这种固定的方法应用的几何原理是___________.

image

12.点关于轴的对称点是___________.

13.如图,已知在Rt中,,若沿图中虚线剪去,则的度数是___________.

image

14.如图,是的角平分线,过点作eqWmf183GmgAAAAAAACAGwAECCQAAAADzWQEACQAAA3UBAAACAJsAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALAASAGCwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///8b////gBQAAhgEAAAUAAAAJAgAAAAIFAAAAFAJgAZ4CHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAJjO3gJhShR3IAkadwAAAAAEAAAALQEAAAoAAAAyCgAAAAACAAAALy/AAAADBQAAABQCYAFGABwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgCYzt4CYUoUdyAJGncAAAAABAAAAC0BAQAEAAAA8AEAAA0AAAAyCgAAAAAEAAAAREVCQxQBlALqAAADmwAAACYGDwArAUFwcHNNRkNDAQAEAQAABAEAAERlc2lnbiBTY2llbmNlLCBJbmMuAAUBAAcERFNNVDcAARNXaW5BbGxCYXNpY0NvZGVQYWdlcwARBVRpbWVzIE5ldyBSb21hbgARA1N5bWJvbAARBUNvdXJpZXIgTmV3ABEETVQgRXh0cmEAE1dpbkFsbENvZGVQYWdlcwARBsvOzOUAEgAIIS8n8l8hjyEvR19BUPIfHkFQ9BUPQQD0RfQl9I9CX0EA9BAPQ19BAPIfIKXyCiX0jyH0EA9BAPQPSPQX9I9BAPIaX0RfRfRfRfRfQQ8MAQABAAECAgICAAIAAQEBAAMAAQAEAAUACgEAEAAAAAAAAAAPAQIAg0QAAgCDRQACAIIvAAIAgi8AAgCDQgACAINDAAAAAAoAAAAmBg8ACgD/////AQAAAAAAHAAAAPsCEAAHAAAAAAC8AgAAAIYBAgIiU3lzdGVtAHelBooCAAAKAAYAAAClBooCAAAAAHjY3gIEAAAALQEAAAQAAADwAQEAAwAAAAAA交于点.若,,则___________.page number 2

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