江苏泰州市靖江市靖江外国语学校2026-2027学年八年级第一学期阶段质量检测数学试卷(期中考试)

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2026-2027靖江市外国语八年级第一学期阶段质量检测数学试卷(期中考试)

(满分150分考试    时间120min)

一、选择题(18分)

1.按括号内的要求用四舍五入法求近似数,其中正确的是(     )

A.3.704≈3.70(精确到十分位) B.0.123≈0.1(精确到0.1)

C.(精确到个位) D.0.01462≈0.015(精确到0.0001)

2.按如图所示的程序计算,若开始输入的的值是64,则输出的的值是(     )

image

A. B. C. D.

3.如图,在中,,直线垂直平分,垂足为,交于点,则的周长是(     )

image

A.10 B.12 C.13 D.14

4.如图,一支铅笔放在圆柱体笔筒中,笔筒的内部底面直径是,内壁高.若这支铅笔长为,则这支铅笔在笔筒外面部分长度的最小值为(     )

image

A.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 B.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 C.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 D.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

5.如图,在中,,,,点在的延长线上,点在边上,且,若,则的长等于(     )page number 0

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image

A.3 B. C.2 D.

6.如图,边长为4的等边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,F是边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的中点,点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是线段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上的动点,连接,在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的右侧作等边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,连接CD、CE、EF,则以下结论:①AC⊥BF;②DC=DE;③∠ACE的大小随着点D的移动而变化;④EF的最小值为1,上述结论中正确的有(     )

image

A.①② B.①②④ C.②③ D.①②③④

二、填空题(每题3分,共30分)

7.的算术平方根是_____

8.下列各数(两个3之间依次增加一个

0)无理数有_____个

9.于,且,以点为圆心,长为半径画弧,交数轴于,则点表示的数是_____.

image

10.如图,在中,,为中点,,则的度数为_____.page number 1

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image

11.一个三角形的三边长分别为,则的取值范围是_____.

12.如图,是的角平分线,于点,的面积为20.若,,则的长为_____.

image

13.已知一个等腰三角形一腰上的高与另一腰的夹角为,则这个等腰三角形底角的度数为_____.

14.如图,在Rt中,,,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.动点从点开始以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的速度向点运动,动点从点开始以的速度向点运动,两点同时运动,同时停止,运动时间为(单位: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).当为_____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时,是直角三角形.

image

15.如图,要在河边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上修建一个水泵站,分别向村和村送水,已知村、村到河边的距离分别为和,且两村庄相距,则铺设水管的最短长度是_____

image

16.如图,已知点为中点,,过点作,垂足为点,若,则_____.page number 2

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