名校
解题方法
1 . 已知椭圆
的左、右焦点分别为
、
,点P,Q为椭圆C上任意两点,且
,若三角形
的周长为8,
面积的最大值为2.
(1)求椭圆C的标准方程;
(2)设椭圆C外切于矩形
,求矩形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1dad0690278e2e7c069a27612b7636.png)
![](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/dcf445c86b2e58925026406a88692cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd4dea64167cc99341d565844c90c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
(1)求椭圆C的标准方程;
(2)设椭圆C外切于矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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2022-05-23更新
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3卷引用:重庆市涪陵高级中学校2022届高三下学期冲刺适应卷(二)数学试题