1 . 在平面直角坐标系中,椭圆
的离心率为
,焦距为2.
(1)求椭圆C的方程;
(2)动直线
交椭圆于A、B两点,D是椭圆C上一点,直线OD的斜率为
,且
.T是线段OD延长线上一点,且
,
的半径为
,OP,OQ是
的两条切线,切点分别为P,Q,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fad038d2b0f4007c4e638c40a23e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137f98c6367086cc159aaa5f2e45ee7d.png)
(1)求椭圆C的方程;
(2)动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d56ab9727d7867b8128803e09491f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a425978da20cebf8c4c63953579e7b35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97376fa1425a1908f06a9c9c0592b6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42aae960a1203c6c6d92a97d866f032b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b51828f49e9faf002eb44e12076e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7d23d4f032debf57dcb7f40d3c9c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9b51828f49e9faf002eb44e12076e6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7af49af0bfc51cf112e4aba6e02816.png)
您最近一年使用:0次
2022-10-12更新
|
1136次组卷
|
7卷引用:吉林省四平市第一高级中学2023-2024学年高二上学期第二次月考数学试题
2 . 已知函数
,
.
(1)当
时,讨论
的单调性;
(2)设m,n为正数,且当
时,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7f1b41968ad672670286194f64a2b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb09b7c2d859a7839698a88c8c4d8340.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e455f4e6c97270bd28f207b89df5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设m,n为正数,且当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e2302295333e96f24e328bc4e1f9dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ae9a64df7227e75d10277a57e3d88e.png)
您最近一年使用:0次
2022-07-08更新
|
675次组卷
|
5卷引用:吉林省四平市第三高级中学2022-2023学年高二下学期6月月考数学试题
解题方法
3 . 函数
.若对任意
,都有
,则实数m的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f7d4b7fca3cba8429450c429382a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
2022-07-07更新
|
535次组卷
|
2卷引用:吉林省四平市第三高级中学2022-2023学年高二下学期6月月考数学试题
名校
4 . 已知椭圆C:
的离心率为
,焦距为
,A,B分别为椭圆C的上、下顶点,点M(t,2)(t≠0).
(1)求椭圆C的方程;
(2)若直线MA,MB与椭圆C的另一交点分别为P,Q,证明PQ过定点
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e43c3621b12e03422ae9868c78e3327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9c6fe12d3a9727e00ef87a630302ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb57575dea540c569265de158429425.png)
(1)求椭圆C的方程;
(2)若直线MA,MB与椭圆C的另一交点分别为P,Q,证明PQ过定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435044d7dafb44742838548a506e01f6.png)
您最近一年使用:0次
2018-12-17更新
|
1282次组卷
|
6卷引用:吉林省四平市第一高级中学2019-2020学年高二上学期第三次月考数学(文)试题