1 . 已知用周长为36的矩形截某圆锥得到椭圆
与矩形的四边都相切且焦距为
,__________.
①
为等差数列;②
为等比数列.
(1)在①②中任选一个条件,求椭圆的标准方程;
(2)(1)中所求
的左、右焦点分别为
,过
作直线与椭圆
交于
两点,
为椭圆的右顶点,直线
分别交直线
于
两点,求以
为直径的圆是否过定点,若是求出该定点;若不是请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b428e657cfaa28a1d5a151a256493ac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dcc91c2ffb5571eaf944c34f5e8ffe.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f8721d6b1c5504e9945af537390de9.png)
(1)在①②中任选一个条件,求椭圆的标准方程;
(2)(1)中所求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5671fb25040a712a49e8c8148d67d300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d021e137803a9ad95ec600a33e5662a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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2023-02-17更新
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7卷引用:西藏日喀则市2023届高三第一次联考模拟数学(文)试题
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