已知椭圆
的右顶点为A,上顶点为B,则椭圆上的一动点M到直线AB距离的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
22-23高二下·河南周口·阶段练习 查看更多[2]
更新时间:2023-06-20 22:51:29
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【推荐1】舒腾尺是荷兰数学家舒腾设计的一种作图工具,如图,O是滑槽AB的中点,短杆ON可绕O转动,长杆MN通过N处的铰链与ON连接,MN上的栓子D可沿滑槽AB滑动.当点D在滑槽AB内做往复移动时,带动点N绕O转动,点M也随之而运动.记点N的运动轨迹为
,点M的运动轨迹为
.若
,
,过
上的点P向
作切线,则切线长的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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【推荐2】已知椭圆
与双曲线
共焦点,过椭圆
上一点
的切线
与
轴、
轴分别交于
、
两点(
、
为椭圆
的两个焦点).又
为坐标原点,当
的面积最小时,下列说法所有正确的序号是__________ .
①
;
②当点
在第一象限时坐标为
;
③直线
的斜率与切线
的斜率之积为定值
;
④
的角平分线
(点
在
上)长为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5b902a101e34bad1c6e213731ade6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca83a3c2edc7a1d19930fc2dea18b45d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
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①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
②当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f064ecfb0915fe0d73efda7eab152420.png)
③直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d58f9019097bd05037aefd5c322916.png)
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【推荐1】若直线
与椭圆
无公共点,则
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebb3b7f47e0decd48e64cb32aaa5903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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【推荐2】若直线
与椭圆
恒有两个不同的公共点,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2dae0fa7128726d55c6edf3396c294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2896b3ce660e64e4c47f47819ba66bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知
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分别是椭圆
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_________ .
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【推荐2】已知直线l过圆
的圆心,且与圆相交于A,B两点,P为椭圆
上一个动点,则
的最大值为___________ .
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