椭圆
:
的左右焦点分别为
,
,P为椭圆C上一点.
(1)当P为椭圆C的上顶点时,求
;
(2)若
,求满足条件的点P的个数;(直接写答案)
(3)直线
与椭圆C交于A,B,若
,求k.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cae00bdc6f8b564b6b15b32572c848b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
(1)当P为椭圆C的上顶点时,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fe48bf7af022ecbbe13833fdcc2c8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07685a075c7f979540dab03664d01e45.png)
(3)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a565e39b6a3900a9433e6b4dee5bec36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1cfdbffe068b139384181c5c66af0.png)
21-22高二上·北京顺义·期中 查看更多[2]
北京市顺义牛栏山第一中学2021-2022学年高二上学期期中考试数学试题(已下线)专题9-3 圆锥曲线压轴大题五个方程框架十种题型-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)
更新时间:2021-11-29 10:22:30
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【推荐1】已知椭圆
的左,右焦点分别为
,
,上顶点为
,且
.
(1)求
的离心率;
(2)射线
与
交于点
,且
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be0160e528ddd1d2a7f20ad378879c6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabea664e61863b3b3279dbce607924e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082ed765c7e1162e6fb1d6bdf547afe5.png)
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【推荐2】已知椭圆C:
(
,
)的长轴为
,短轴长为4.
(1)求椭圆C的标准方程;
(2)设直线l:
与椭圆C交于不同两点A、B,且
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
(1)求椭圆C的标准方程;
(2)设直线l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f423f4c2973942ab64731bc81c40bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐2】已知点在椭圆
上,
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75436dfba3658f87e4c7830e508a752f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
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