1 . 已知直线
与
轴正半轴交于点
,与
轴正半轴交于点
,点
在线段
上,满足
,直线
为原点
的斜率为
.
(1)求
的值;
(2)设点
与点
关于
轴对称,
为线段
的中点,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c240561788bc63f41a6703219fb66d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c09615735d331befd07664aa47cb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518f2849726fa2a7c2f1d7839beee529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f189e547fb8da25773c7d09f84445bd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fd7940df8100511c9b98ed85d014a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f479d987bc7abd828c64f9dc745836ab.png)
您最近一年使用:0次
2023-01-02更新
|
247次组卷
|
2卷引用:安徽省滁州市定远县定远县民族中学2022-2023学年高二上学期10月月考数学试题
名校
解题方法
2 . 如图,已知圆
与
轴交于
、
两点(
在
的上方),直线
,点
为直线
上一动点(不在
轴上),直线
、
的斜率分别为
、
,直线
、
与圆的另一交点分别为
、
.
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521507553910784/2522608078577664/STEM/a95d2cd4cf494e698b5e76f557f6d716.png?resizew=232)
(1)是否存在实数
,使得
成立?若存在,求出
的值;若不存在,说明理由;
(2)证明:直线
经过定点,并求出定点坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79382ba44ba669b5d43fdd5427adf16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1e199c5a860eae4217c9659b533527b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://img.xkw.com/dksih/QBM/2020/8/5/2521507553910784/2522608078577664/STEM/a95d2cd4cf494e698b5e76f557f6d716.png?resizew=232)
(1)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c994b6dfa739e77061fcd369074d4b5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
解题方法
3 . 已知直线方程为
.
(1)证明:直线恒过定点;
(2)
为何值时,点
到直线的距离最大,最大值为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cadd4cfce20dc27aa13c67afe46d2ddc.png)
(1)证明:直线恒过定点;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a149da548c87b345e0672cd47c8a02bb.png)
您最近一年使用:0次
2020-11-04更新
|
2381次组卷
|
5卷引用:湖北省襄阳市宜城市第三中学2020-2021学年高二上学期10月月考数学试题
湖北省襄阳市宜城市第三中学2020-2021学年高二上学期10月月考数学试题人教A版(2019) 选修第一册 实战演练 第二章 验收检测章节综合测试-直线和圆的方程(已下线)第一次月考押题卷(考试范围:第1章、第2章)(拔高卷)-【单元测试】2022-2023学年高二数学分层训练AB卷(苏教版2019选择性必修第一册)山东省青岛市青岛第二中学分校2022-2023学年高二上学期期中数学试题