1 . 已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
为圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c183814b2d0fc09cab855235edc5.png)
上的动点,过圆心作直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
垂直于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
轴交点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
轴的对称轴,动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
满足到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
到的距离始终相等,记动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
轴距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4107c503dbc23572e6c31d3e9742d2a0.png)
的最小值为
__________.
2021-08-27更新
|
498次组卷
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4卷引用:贵州省贵阳市五校(贵州省实验中学、贵阳二中、贵阳八中、贵阳九中、贵阳民中)2022届高三联合考试(一)数学(理)试题
2 . 已知定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/912fac84002fe9a9dce2bd1b2f557d1a.png)
,曲线
L上的任一点
M都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/434a7af1a29decc095633961fb8ba836.png)
.
(1)求曲线
L的方程;
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e33b005ba0b47cdd79d9e79a3157480.png)
,动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
恒过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3325d357e4e3a160e6cc357cac2c1543.png)
,与曲线
L交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
,设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c9969f9e56f6b7df78841755a44b57.png)
的斜率分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1726d463bd741c904abd9b6589056.png)
.证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7337d03ccfbc03df9bb1f8d9fabbde00.png)
成等差数列.
2021-05-10更新
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444次组卷
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1卷引用:贵州省贵阳市2021届高三二模数学(文)试题