广东广州市黄广牛剑高级中学2026-2027学年高二上学期11月期中数学试题(无答案)

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2026-2027学年上学期黄广教育集团高二期中考试

数学试卷

时量:120分钟 总分:150分

一、选择题(本大题共8小题,每小题5分,共40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.过两点的直线的倾斜角为(    )

A. B. C. D.

2.与直线关于轴对称的直线方程为(    )

A.  B.

C.  D.

3.已知曲线,则“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”是“为焦点在轴上的双曲线”的(    )

A.必要不充分条件  B.充分不必要条件

C.充要条件  D.既不充分也不必要条件

4.在如图所示的试验装置中,有两个边长为1的正方形框架,它们所在的平面互相垂直.有一个活动弹子在正方形的对角线上移动,运动过程中弹子到直线的距离的最小值为(    )

A. B. C. D.

5.若圆与圆外切,则(    )

A.2 B.3 C.4 D.5

6若直线与圆相交于两点,则(    )

A. B. C. D.page number 0

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7.已知椭圆的左、右焦点分别为,以为直径的圆与在第一象限相交于点.若直线的斜率为的面积为4,则椭圆的方程为(    )

A.  B.

C.  D.

8.已知直线截圆所得的弦长为,点在圆上,且直线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过定点,若,则的取值范围为(    )

A.  B.

C.  D.

二、多选题(本大题共3小题,每小题6分,共18分.在每小题给出的选项中,有多项符合题目要求.全部选对的得6分,部分选对的得部分分,有选错的得0分)

9.直线经过点,且两坐标轴上的截距的绝对值相等,则直线的方程可能是(    )

A.  B.

C.  D.

10.在平行六面体中,,.则(    )

A.的长为6  B.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

C.平面  D.page number 1

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