天津市河东区第八中学2026-2027学年高二年级上学期10月月考数学试卷(无答案)

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天津市第八中学2026—2027学年第一学期高二年级数学学科

第一次大单元练习

时间:120分钟;满分150分

注意事项:

1.答题前填写好自己的姓名、班级、考号等信息

2.请将答案正确填写在答题卡上

I

一、单选题(共9小题,每小题5分)

1.直线的倾斜角是(    )

A.30° B.60° C.120° D.135°

2.已知,若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,则(    )

A.  B.

C.  D.

3.在空间直角坐标系中,给出以下结论:①点关于轴的对称点的坐标为;②点关于平面对称的点的坐标是;③已知点与点,则的中点坐标是;④两点间的距离为5.其中正确的是(    )

A.①② B.①③ C.②③ D.②④

4.已知,若四点共面,则(    )

A.9 B.-9 C.-3 D.3

5.设直线.若,则(    )

A.0或1 B.0或-1 C.1 D.-1

6.如图,长方体中,分别是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的中点,则异面直线与所成角的余弦值是(    )page number 0

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A.0 B. C. D.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

7.若过点和点的直线与过点和点的直线平行,则的值是(    )

A. B. C.2 D.-2

8.已知直线和直线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,则“”是“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”的(    )

A.既不充分又不必要条件  B.充分不必要条件

C.必要不充分条件  D.充要条件

9.如图,在平行六面体中,与的交点为,点在上,且,则下列向量中与相等的向量是(    )

A.  B.

C.  D.

第II卷(非选择题)

二、填空题(共6小题,每小题5分)

10.若经过两点的直线的倾斜角是,则_________.

11.已知平面的一个法向量为,平面的一个法向量为,若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,则page number 1

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