名校
1 . 已知实数,函数
有两个不同的零点
.
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c823090181be0e23e8e9d9f781cbd385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57fb4b017d21b7bbe006344156ec3458.png)
您最近一年使用:0次
2024-03-19更新
|
763次组卷
|
2卷引用:2024届高三下学期3月适应性考试数学试题(新高考金卷)
名校
解题方法
2 . 如图,已知椭圆C:
的左、右焦点分别是
、
,上顶点为A,左顶点为B,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/9cd643c2-f187-494d-b2e7-168ea3d34986.png?resizew=203)
(Ⅰ)求椭圆C的离心率;
(Ⅱ)设点
是椭圆C上任意一点,且
,在直线
上是否存在点Q,使以
为直径的圆经过坐标原点O,若存在,求出线段
的长的最小值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0348e8cdd04a08e36cf940aa4bbd95b5.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/2c9cea81161769250549779d9df70015.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/9cd643c2-f187-494d-b2e7-168ea3d34986.png?resizew=203)
(Ⅰ)求椭圆C的离心率;
(Ⅱ)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f595683f69d5d6b5ca76408b0ff6ff17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
您最近一年使用:0次
2020-02-08更新
|
516次组卷
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2卷引用:重庆市大足区2018-2019学年高二上学期期末数学(理)试题