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1 . 在直角坐标系
内,圆
,若直线
绕原点
顺时针旋转
后与圆
存在公共点,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794b5703cb87d2701a89f4750c1b3a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43e788a289771f6005b8cde7f30a1596.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7卷引用:北京市西城区2023-2024学年高二上学期期末考试数学试卷
北京市西城区2023-2024学年高二上学期期末考试数学试卷 北京市陈经纶中学2023-2024学年高三下学期2月阶段性诊断练习数学试题(已下线)2.1.3 直线与圆的位置关系(八大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)河南省百师联盟2023-2024学年高二下学期五月大联考数学试卷广东省广州市华南师大附中2024届高三上学期第一次调研数学试题(已下线)山东省部分学校2024届高三3月调研数学试卷(2024年普通高等学校招生全国统一考试数学模拟试卷)(已下线)专题1 直线与圆的位置关系【练】(压轴小题大全)
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解题方法
2 . 如图,在长方体
中,
为棱
的中点,
为四边形
内(含边界)的一个动点.且
,则动点
的轨迹长度为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/cd1708d9-73db-42e6-aeb8-4558867c1c54.png?resizew=137)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e477427d7d9daf0cb3c31d7b3c58bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3db208cdc38ae7acbd6a866bf494b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/cd1708d9-73db-42e6-aeb8-4558867c1c54.png?resizew=137)
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3 . 如图,已知M是正方体
的棱
的中点,则直线
与
所成角的余弦值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/6/04fca857-930f-45f9-a9f3-e0a8f2634900.png?resizew=162)
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解题方法
4 . 以
为直径端点的圆的方程是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40bb075459157bd03272143e93ab55cd.png)
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解题方法
5 .
是圆
上两点,
,若在圆
上存在点
恰为线段
的中点,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059a4d37f7de16c7a7d7904ef2b76593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8e818c6b86d85ba85ef316ca40c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 如图,在棱长为2的正方体
中,
为棱
的中点,
为棱
上一动点.给出下列四个结论:
①存在点
,使得
平面
;
②直线
与
所成角的最大值为
;
③点
到平面
的距离为
;
④点
到直线
的距离为
.
其中所有正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/a86a51e6-2969-40aa-8bc7-121ee837a94b.png?resizew=168)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
①存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
②直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
③点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea848cd2aa3a464618020475097949fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38be38165dc2307982fc57001a447c56.png)
其中所有正确结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/4/a86a51e6-2969-40aa-8bc7-121ee837a94b.png?resizew=168)
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解题方法
7 . 已知点
在由直线
,
和
所围成的区域内(含边界)运动,点
在
轴上运动.设点
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c608def11fa0e2b34f05592ef1d11fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8076b511e27939c629762296b8cfd08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdb67343b798e823c80e689f5972c7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320d197a25fc99f1dff61d81b815b85c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知直线
经过
,
两点,则直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0adc439eabb8acf3806ac8af85f0410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 菱形
的顶点
的坐标分别为
边所在直线过点
.
(1)求
边所在直线的方程;
(2)求对角线
所在直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e2da6bc1acc4ed0ab1b7ca70e959677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908c9588178c02002157ad54eb440a56.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46c696ff5f123a482bae81cf9a1b570.png)
(2)求对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
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北京市石景山区2023-2024学年高二上学期期末考试数学试卷上海市第二中学2023-2024学年高二下学期3月月考数学试卷(已下线)专题01 平面直角坐标系中的直线--高二期末考点大串讲(沪教版2020选修)(已下线)专题01平面直角坐标系中的直线全章复习攻略--高二期末考点大串讲(沪教版2020选修)
10 . 已知圆
的半径为3,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a314323230ca7a3751b93849d4b0cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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