1 . 如图,已知抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91356fe1338cd458e4b1761b36873145.png)
的焦点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b6a742dbacdab5aaa298007663dd4.png)
,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072104dd362a079309bcf3916901b7df.png)
与抛物线交于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5191fd3625bf6bd3744807e3ccdb030.png)
两点,过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5191fd3625bf6bd3744807e3ccdb030.png)
分别作抛物线的切线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
交于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
.过抛物线上一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00a28be4d5a16cf245f6fa7c4088fee4.png)
(在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a159de0b2d9eb1ae0b7e664e64d3c6c.png)
下方)作切线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92adfef6c3f4b8c041958fbf0b01f6a6.png)
,交
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16cc6468ae954284918b1b54b188ae81.png)
于点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86079725fcc03d623554ce82be14514.png)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/7010be9e-22f0-4144-940a-0b3e5e66e9d7.png?resizew=256)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedff09ac873e40c3ee0ce3ecf2fa032.png)
时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
面积的最大值;
(2)证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8b58ad3c066807c6b456932beafe39.png)
四点共圆.
2022-10-24更新
|
1795次组卷
|
6卷引用:浙江省丽水市2022-2023学年普通高中学生素养大赛试题浙江省丽水市2022-2023学年普通高中学生素养大赛试题(已下线)专题13 圆锥曲线压轴解答题常考套路归类(精讲精练)-2(已下线)专题6 “高数衔接”类型(已下线)专题04 圆锥曲线经典题型全归纳(3)(已下线)第五篇 向量与几何 专题10 圆锥曲线中的四点共圆问题 微点3 圆锥曲线中的四点共圆问题综合训练(已下线)专题03 圆锥曲线题型全归纳(九大考点)-【寒假自学课】2024年高二数学寒假提升学与练(人教A版2019)