1 . 在平面直角坐标系中,
为坐标原点,动点
到
,
的两点的距离之和为
.
(1)试判断动点
的轨迹是什么曲线,并求其轨迹方程
.
(2)已知直线
与圆
交于
、
两点,与曲线
交于
、
两点,其中
、
在第一象限,
为原点
到直线
的距离,是否存在实数
,使得
取得最大值,若存在,求出
和最大值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f3b0e2bedfe5195443459072d798e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc3e8a1475b983d1a4295db0e16d4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc41bc045de9f42164716259c5506c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c1291733045cf4899839d49f1dae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87d696d9bf311bddb74b915fb3e9506.png)
(1)试判断动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc3e8a1475b983d1a4295db0e16d4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
(2)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69c1d7da473ae05bdc17583ea449d98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de8116e741d15031e169dfdb202c489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe9eeee83b4b7c6ceac7828ff534ce15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eacd9c1ce5e65fec29c32f40d86b73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc5c19ac440746be97d8b46af5d288a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bcf9f33389b83d32baf2f784435e80f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f3b0e2bedfe5195443459072d798e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15befbdad977723a86194979c675ee5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9297c2fcdcf968a5bcb39be2ee8ad8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15befbdad977723a86194979c675ee5d.png)
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2022-10-19更新
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401次组卷
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2卷引用:重庆市长寿中学校2022-2023学年高二上学期期中数学试题