天津市南开区2026-2027学年八年级上学期期中考试数学试题

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八年级  数学学科

本试卷分为第Ⅰ卷(选择题)、第Ⅱ卷(非选择题)两部分.试卷满分100分.考试时间100分钟.答卷前,请务必先将自己的姓名、准考证号填写在“答题卡”上,并在指定位置粘贴考试用条形码.答题时,务必将答案涂写在“答题卡”上,答案答在试卷上无效.

第Ⅰ卷(选择题  共36分)

注意事项:

1.每题选出答案后,用2B铅笔把“答题卡”上对应题目的答案标号的信息点涂黑.如需改动,用橡皮擦干净后,再选涂其他答案标号的信息点.

2.本卷共12题,共36分.

一、选择题(本大题共12小题,每小题3分,共36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.在一些美术字中,有的汉字是轴对称图形.下面4个汉字中,可以看作是轴对称图形的是

A.image B.image C.image D.image

2.工人师傅在做完门框后,为防止变形,经常如图所示钉上两条斜拉的木条(即图中的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,两根木条),这样做的根据是

A.两点之间线段最短  B.垂线段最短

C.两点确定一条直线  D.三角形具有稳定性

3.在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中,eqWmf183GmgAAAAAAAOAFAAIBCQAAAADwWQEACQAAA98BAAACAKQAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADAIAAuAFCwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///7f///+gBQAAtwEAAAUAAAAJAgAAAAIFAAAAFAKgAbIDHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7///9gytwCfEP0dUAAAAAEAAAALQEAAAoAAAAyCgAAAAACAAAAMznAAAADBQAAABQCoAFaARwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgD+////YMrcAnxD9HVAAAAABAAAAC0BAQAEAAAA8AEAAAkAAAAyCgAAAAABAAAAQTkAAwUAAAAUAqABNAAcAAAA+wKA/gAAAAAAAJABAAAAAQACABBTeW1ib2wAhAAACgDAorYH/v///2DK3AJ8Q/R1QAAAAAQAAAAtAQAABAAAAPABAQAKAAAAMgoAAAAAAgAAANA9XgIAAwUAAAAUAvQANAUcAAAA+wIg/wAAAAAAAJABAAAAAQACABBNVCBFeHRyYQAACgBgpbYH/v///2DK3AJ8Q/R1QAAAAAQAAAAtAQEABAAAAPABAAAJAAAAMgoAAAAAAQAAAG8AwAGkAAAAJgYPAD4BQXBwc01GQ0MBABcBAAAXAQAARGVzaWduIFNjaWVuY2UsIEluYy4ABQEABwhEU01UNwABE1dpbkFsbEJhc2ljQ29kZVBhZ2VzABEFVGltZXMgTmV3IFJvbWFuABEDU3ltYm9sABEFQ291cmllciBOZXcAEQRNVCBFeHRyYQATV2luQWxsQ29kZVBhZ2VzABEGy87M5QASAAghLyfyXyGPIS9HX0FQ8h8eQVD0FQ9BAPRF9CX0j0JfQQD0EA9DX0EA8h8gpfIKJfSPIfQQD0EA9A9I9Bf0j0EA8hpfRF9F9F9F9F9BDwwBAAEAAQICAgIAAgABAQEAAwABAAQABQAKAQAQAAAAAAAAAA8BAgSGICLQAgCDQQACBIY9AD0CAIgzAAIAiDkADwADABwAAAsBAQEADwECBIsYIm8AAAAACgAAACYGDwAKAP////8BAAAAAAAcAAAA+wIQAAcAAAAAALwCAAAAhgECAiJTeXN0ZW0AE/oBigoAAAoAxyhmE8coZhP6AYoKWNTcAgQAAAAtAQAABAAAAPABAQADAAAAAAA=,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,则的度数为

A. B. C. D.

4.如图,已知eqWmf183GmgAAAAAAAGAJwAEBCQAAAACwVgEACQAAA7MBAAACAKQAAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADALAAWAJCwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///8b///8gCQAAhgEAAAUAAAAJAgAAAAIFAAAAFAJgASQBHAAAAPsCgP4AAAAAAACQAQEAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7///9gytwCfEP0dUAAAAAEAAAALQEAABAAAAAyCgAAAAAGAAAAQUJFQUNE6gDqACQD6gACAQADBQAAABQCYAFOBBwAAAD7AoD+AAAAAAAAkAEAAAABAAIAEFN5bWJvbACQAAAKAMCitgf+////YMrcAnxD9HVAAAAABAAAAC0BAQAEAAAA8AEAAAkAAAAyCgAAAAABAAAAQAAAAwUAAAAUAmABKAAcAAAA+wKA/gAAAAAAAJABAAAAAQACABBNVCBFeHRyYQAACgDgo7YH/v///2DK3AJ8Q/R1QAAAAAQAAAAtAQAABAAAAPABAQAKAAAAMgoAAAAAAgAAAFZW+AQAA6QAAAAmBg8APQFBcHBzTUZDQwEAFgEAABYBAABEZXNpZ24gU2NpZW5jZSwgSW5jLgAFAQAHCERTTVQ3AAETV2luQWxsQmFzaWNDb2RlUGFnZXMAEQVUaW1lcyBOZXcgUm9tYW4AEQNTeW1ib2wAEQVDb3VyaWVyIE5ldwARBE1UIEV4dHJhABNXaW5BbGxDb2RlUGFnZXMAEQbLzszlABIACCEvJ/JfIY8hL0dfQVDyHx5BUPQVD0EA9EX0JfSPQl9BAPQQD0NfQQDyHyCl8gol9I8h9BAPQQD0D0j0F/SPQQDyGl9EX0X0X0X0X0EPDAEAAQABAgICAgACAAEBAQADAAEABAAFAAoBABAAAAAAAAAADwECBIuzJVYCAINBAAIAg0IAAgCDRQACBIZFIkACBIuzJVYCAINBAAIAg0MAAgCDRAAAAAIKAAAAJgYPAAoA/////wEAAAAAABwAAAD7AhAABwAAAAAAvAIAAACGAQICIlN5c3RlbQBv+gGKCgAACgCjLGZvoyxmb/oBigpY1NwCBAAAAC0BAQAEAAAA8AEAAAMAAAAAAA==,,,则的长为page number 0

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A.7 B.4 C.3 D.2

5.如图,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是等边三角形,是中线,,垂足为点,若,则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的周长为

A.12 B.10 C.8 D.6

6.已知等腰三角形一边长为5,周长为21,则此等腰三角形的腰长为

A.5 B.8 C.11 D.8或5

7.如图,点为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的重心,若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,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与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的面积和(即图中阴影部分的面积)为6,则是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的面积为

A.12 B.11 C.10 D.9

8.如图,eqWmf183GmgAAAAAAAKAJAAIBCQAAAACwVQEACQAAA+wBAAACAK0AAAAAAAUAAAACAQEAAAAFAAAAAQL///8ABQAAAC4BGQAAAAUAAAALAgAAAAAFAAAADAIAAqAJCwAAACYGDwAMAE1hdGhUeXBlAAAwABIAAAAmBg8AGgD/////AAAQAAAAwP///7f///9gCQAAtwEAAAUAAAAJAgAAAAIFAAAAFAKgAX4HHAAAAPsCgP4AAAAAAACQAQAAAAAAAgAQVGltZXMgTmV3IFJvbWFuAP7///9gytwCfEP0dUAAAAAEAAAALQEAAAoAAAAyCgAAAAACAAAAOTDAAAADBQAAABQCoAFaARwAAAD7AoD+AAAAAAAAkAEBAAAAAAIAEFRpbWVzIE5ldyBSb21hbgD+////YMrcAnxD9HVAAAAABAAAAC0BAQAEAAAA8AEAAAoAAAAyCgAAAAACAAAAQ0K6AwADBQAAABQCoAE0ABwAAAD7AoD+AAAAAAAAkAEAAAABAAIAEFN5bWJvbAADAAAKAMCitgf+////YMrcAnxD9HVAAAAABAAAAC0BAAAEAAAA8AEBAA0AAAAyCgAAAAAEAAAA0D3QPZQCJgFwAgADBQAAABQC9AAACRwAAAD7AiD/AAAAAAAAkAEAAAABAAIAEE1UIEV4dHJhAAAKAMCltgf+////YMrcAnxD9HVAAAAABAAAAC0BAQAEAAAA8AEAAAkAAAAyCgAAAAABAAAAbwDAAa0AAAAmBg8ATwFBcHBzTUZDQwEAKAEAACgBAABEZXNpZ24gU2NpZW5jZSwgSW5jLgAFAQAHCERTTVQ3AAETV2luQWxsQmFzaWNDb2RlUGFnZXMAEQVUaW1lcyBOZXcgUm9tYW4AEQNTeW1ib2wAEQVDb3VyaWVyIE5ldwARBE1UIEV4dHJhABNXaW5BbGxDb2RlUGFnZXMAEQbLzszlABIACCEvJ/JfIY8hL0dfQVDyHx5BUPQVD0EA9EX0JfSPQl9BAPQQD0NfQQDyHyCl8gol9I8h9BAPQQD0D0j0F/SPQQDyGl9EX0X0X0X0X0EPDAEAAQABAgICAgACAAEBAQADAAEABAAFAAoBABAAAAAAAAAADwECBIYgItACAINDAAIEhj0APQIEhiAi0AIAg0IAAgSGPQA9AgCIOQACAIgwAA8AAwAcAAALAQEBAA8BAgSLGCJvAAAAAIMKAAAAJgYPAAoA/////wEAAAAAABwAAAD7AhAABwAAAAAAvAIAAACGAQICIlN5c3RlbQDv+gGKCgAACgCdI2bvnSNm7/oBigpY1NwCBAAAAC0BAAAEAAAA8AEBAAMAAAAAAA==,是的中点,平分,若,,则的长为

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A.6 B.8 C.10 D.12

9.如图,点,,,在一条直线上,若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,且,只添加一个条件,不能判断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的是

image

A.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  B.

C.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  D.

10.如图的三角形纸片中,,,.沿过点的直线折叠这个三角形,使点落在边上的点处,折痕为.则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的周长是

image

A.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 B. C.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 D.

11.如图,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中,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,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,点为边中点,按以下步骤作图:

image

①以点为圆心,适当长为半径画弧,与边相交于点,与边相交于点;

②分别以点,为圆心,大于长为半径画弧,两弧在的内部相交于点;

③作射线,射线与相交于点.

则的大小为

A. B. C. D.

12.如图,在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中,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,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.,分别平分和,点在边上,点在边上,且与相交于点.点在的延长线上,且满足,垂足为点,交于点,连接.page number 2

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