已知点
在圆
运动,若对任意点
,在直线
上均存在两点
,使得
恒成立,则线段
长度的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6755d03c30c4a3987bdaf50a9d86a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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2023·湖北·模拟预测 查看更多[4]
湖北省2023届高三下学期5月联考数学试题(已下线)考点09 直线与圆的最值问题 2024届高考数学考点总动员【练】(已下线)第04讲 直线与圆、圆与圆的位置关系(九大题型)(讲义)-2(已下线)专题7-1 直线与圆综合应用归类-2
更新时间:2023-05-12 20:09:01
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单选题
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适中
(0.65)
名校
解题方法
【推荐1】已知
,
是椭圆
的两个焦点,若椭圆C上存在点
,使得
,则椭圆的离心率的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f779cf5fd83c7a386c097374bac3e17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2427943a38dcd93c9ec9b735ffc9fe5.png)
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单选题
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适中
(0.65)
【推荐1】已知点
是曲线
上的动点,则点
到直线
距离的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9b1a1563fa9cc9338c48d6dd8548963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02433702eea1641962f1a069607cd8f2.png)
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单选题
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适中
(0.65)
【推荐2】已知点
在圆
上,直线
与
轴、
轴分别交于点
、
,则下列结论中正确的有( )
①点
到直线
的距离小于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca74e3bfe66db258ab238ecf3b08b47.png)
②点
到直线
的距离大于![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③当
最小时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c17e0caf939a1a1ab2b5821f20aafc4.png)
④当
最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c17e0caf939a1a1ab2b5821f20aafc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26892f48531bfe7a9b054d5dfa6f2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23204f4510de0d88bec45555bbbfdf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca74e3bfe66db258ab238ecf3b08b47.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425af5e697d1d7b6490e38cc6f1859a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c17e0caf939a1a1ab2b5821f20aafc4.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425af5e697d1d7b6490e38cc6f1859a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c17e0caf939a1a1ab2b5821f20aafc4.png)
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