安徽池州市贵池区2026-2027学年度第一学期期中检测八年级数学试题

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八年级教学质量检测(二)数学(沪科版)B

注意事项:满分150分,时间为120分钟.

一、选择题(本大题共10小题,每小题4分,满分40分)每小题都给出A,B,C,D四个选项,其中只有一个是符合题目要求的.

1.点在(     )

A.第二象限  B.第四象限  C.轴上  D.轴上

2.分别用下列各组的三根细棒来围三角形,不能围成三角形的是(     )

A.,,  B.

C.  D.

3.如图,已知是射线上一动点,,若为钝角三角形,则的度数可以是(     )

image

A.  B.  C.  D.

4.如图,已知直线和直线交于点,则不等式的解集是(     )

image

A.  B.  C.  D.

5.一次函数的图象如图所示,则函数的图象一定不经过(     )

imagepage number 0

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A.第一象限  B.第二象限  C.第三象限  D.第四象限

6.如图,在中,平分,则的度数为(     )

image

A.  B.  C.  D.

7.在平面直角坐标系中,将直线平移可得到直线,则下列有关的叙述错误的是(     )

A.  B.将向下平移6个单位长度得到

C.直线均可由直线平移得到  D.直线的截距为5

8.某广场计划用A,B两种瓷砖(如图1)铺成如图2所示的图案.从下往上、从左往右数,第一行第一列瓷砖的位置记为,其右边瓷砖的位置记为,按照这样的规律,下列说法错误的是(     )

image

A.位于的是A种瓷砖  B.位于的是B种瓷砖

C.位于的是A种瓷砖  D.位于的是B种瓷砖

9.如图,在中,为的中点,连接为的中点,连接为线段上一动点,连接,若的面积为,则的最小值为(     )

imagepage number 1

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A.2  B.4  C.5  D.8

10.已知函数,当自变量的取值范围是时,既能取到大于5的值,又能取到小于3的值,则实数的取值范围是(     )

A.  B.  C.  D.

二、填空题(本大题共4小题,每小题5分,满分20分)

11.命题“末位数字是5的数能被5整除”的逆命题是___________命题(填“真”或“假”).

12.如图,正方形的边长是4,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轴,顶点的坐标是(3,5),则顶点的坐标是___________.

image

13.如图,在中,分别在边,上,若,则的度数为___________.

image

14.新定义:对于两个实数,我们用表示这两个数中最大的数,即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.已知函数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.

(1)当时,___________;

(2)函数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的最小值是___________.

三、(本大题共2小题,每小题8分,满分16分)

15.判断下列命题是真命题还是假命题,如果是假命题,举一个反例.

(1)若,则;

(2)一个角的余角小于这个角.

16.如图,在边长为1的正方形网格图中,平移使点平移到点,其中点的坐标是.page number 2

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