名校
解题方法
1 . 已知椭圆C:
(
)的左、右焦点分别为
,
,长轴长为4,椭圆C过点
.
(1)求椭圆C的方程;
(2)已知x轴上存在一点E(点E在椭圆左顶点的左侧),过
的直线
与椭圆C交于点
和点
,且
与
互为补角,求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.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/cccd57b4890dea50ef4604043431d770.png)
(1)求椭圆C的方程;
(2)已知x轴上存在一点E(点E在椭圆左顶点的左侧),过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1d01fcbf50517beb31b5c986aba8c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4435846adba06cad4189cb1927251a63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ea1c3fe8431260ecb8dffcdae8d570.png)
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2022-05-20更新
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3卷引用:海南省海口市秀英区海口嘉勋高级中学2024届高三上学期开学考试数学试题