黑龙江绥化市望奎县六中联考2026-2027学年八年级上学期11月期中数学试题

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2026-2027学年度第一学期期中

温馨提示:1.考试时间120分钟.

2.全卷共有三道大题,总分为120分.

题号

一

二

三

总分

核分人

21

22

23

24

25

26

27

28

得分

 

 

 

 

 

 

 

 

 

 

 

 

得分

评卷人

一、选择题(每小题3分,共30分)

1.在以下节能、回收、绿色食品、节水四个标志中,是轴对称图形的是(     )

A.image  B.image  C.image  D.image

2.下列长度的三条线段能组成三角形的是(     )

A.1,2,3  B.2,2,4  C.2,3,4  D.2,4,8

3.若关于轴对称点是,则关于轴对称点的坐标是(     )

A.  B.  C.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  D.

4.若,那么的值是(     )

A.  B.

C.  D.

5.如图,在中,CD平分交于点D,过点D作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交于点.若,则的大小为(     )

image

A.  B.  C.  D.

6.下列运算正确的是(     )

A.  B.  C.  D.page number 0

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7.如图,为的平分线,,,垂足分别是,,则下列结论错误的是(     )

image

A.  B.

C.  D.

8.已知,则的值为(     )

A.5  B.7  C.12  D.18

9.如图,已知是边中线,则的取值范围是(     )

image

A.  B.

C.  D.

10.如图,为线段上一动点(不与重合),在同侧分别作正三角形和正三角形与交于点与交于点与交于点,连接,以下五个结论:①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;②eqWmf183GmgAAAAAAACAGAAIBCQAAAAAwWgEACQAAA3UBAAACAJsAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADAIAAiAGCwAAACYGDwAMAE1hdGhUeXBlAABQABIAAAAmBg8AGgD/////AAAQAAAAwP///8b////gBQAAxgEAAAUAAAAJAgAAAAIFAAAAFAJgAZICHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAADTzwJhSgV2IAkLdgAAAAAEAAAALQEAAAoAAAAyCgAAAAACAAAALy/AAAADBQAAABQCYAFGABwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgAA088CYUoFdiAJC3YAAAAABAAAAC0BAQAEAAAA8AEAAA0AAAAyCgAAAAAEAAAAUFFBReoAxALqAAADmwAAACYGDwArAUFwcHNNRkNDAQAEAQAABAEAAERlc2lnbiBTY2llbmNlLCBJbmMuAAUBAAcERFNNVDcAARNXaW5BbGxCYXNpY0NvZGVQYWdlcwARBVRpbWVzIE5ldyBSb21hbgARA1N5bWJvbAARBUNvdXJpZXIgTmV3ABEETVQgRXh0cmEAE1dpbkFsbENvZGVQYWdlcwARBsvOzOUAEgAIIS8n8l8hjyEvR19BUPIfHkFQ9BUPQQD0RfQl9I9CX0EA9BAPQ19BAPIfIKXyCiX0jyH0EA9BAPQPSPQX9I9BAPIaX0RfRfRfRfRfQQ8MAQABAAECAgICAAIAAQEBAAMAAQAEAAUACgEAEAAAAAAAAAAPAQIAg1AAAgCDUQACAIIvAAIAgi8AAgCDQQACAINFAAAAAAoAAAAmBg8ACgD/////AQAAAAAAHAAAAPsCEAAHAAAAAAC8AgAAAIYBAgIiU3lzdGVtAHaJBooCAAAKAAYAAACJBooCAAAAAODczwIEAAAALQEAAAQAAADwAQEAAwAAAAAA;③;④;⑤⑥其中完全正确的是(     )

image

A.①②③④⑤  B.①②③⑤  C.①②④⑤⑥  D.①②③⑤⑥

二、填空题(每小题3分,共30分)page number 1

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11.已知,则___________.

12.如图,,其中与是对应边,与是对应边,若,则___________.

image

13.已知等腰三角形的一个外角是则顶角度数是___________.

14.已知三角形的三边分别为,则___________.

15.如图,在中垂直平分垂直平分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,则的周长___________.

image

16.已知可以写成一个完全平方式,则___________.

17.将一副直角三角板,按如图所示叠放在一起,则图中的度数是___________.

image

18.多项式展开后不含项,则___________.

19.如图,等边的周长为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,为边上的中线,动点,分别在线段,上运动,连接,,当长为___________时,线段的和为最小.page number 2

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