1 . 已知函数
,
(1)求曲线
在
处的切线方程;
(2)函数
在区间[0,2]上是否存在极值?试说明理由;
(3)当
时,关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c575784d69dd7c41f4856098f68aa44.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37dafb12565279285111a5948d835b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 已知函数
,函数
.
(Ⅰ)判断函数
的单调性;
(Ⅱ)若
时,对任意
,不等式
恒成立,求实数
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a33b0fc985e3a573098b7d1cf75e076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15616b8c7b0227f411f0d3d147141980.png)
(Ⅰ)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be505166c3fe126837a390dae0c54356.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4061044d9b895964a5833d3354f7cebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d03b29af4e3206af656a142d17657f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287f4a54079c3de4e967e3da704151b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2020-09-12更新
|
514次组卷
|
8卷引用:安徽省宿州市2018届高三上学期第一次教学质量检测数学(理)试题
名校
解题方法
3 . 已知椭圆
,焦距为2,离心率
为
.
(1)求椭圆
的标准方程;
(2)过点
作圆
的切线,切点分别为
,直线
与
轴交于点
,过点
的直线
交椭圆
于
两点,点
关于
轴的对称点为
,求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f85f1a0c955c915aefe3fcdc9d7eed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe659fb4ca96554eeefd6a305ea1a70d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e24e9da4baf5f37f723a7577d2cb30f5.png)
您最近一年使用:0次
2020-04-08更新
|
791次组卷
|
7卷引用:2017届安徽省宿州市高三第一次教学质量检测(期末)理数试卷
名校
解题方法
4 . 已知:
.
(1)讨论
的单调性;
(2)当
,
时,证明:
(i)
在点
处的切线与
的图像至少有两个不同的公共点;
(ii)若另有公共点为
,其中
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61ff78398a1ad870b3e8114d225c7d1.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d32a6995915055bb724fc7cf3def2da.png)
(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c5e776d9709831d27af4a326f80858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(ii)若另有公共点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbf51559920065ce23158bb5bf70d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155485b22251d4e0ffc2da2afe50aad8.png)
您最近一年使用:0次
5 . 已知函数
,若方程
有四个不同的实数根
,
,
,
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be018dbac3ae09a2fd5702bfc53353e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8848b61151263378c24eff1a68953597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2741ca619df1d9ab3d9ced4c49142dc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-03-09更新
|
2836次组卷
|
8卷引用:2017届安徽省宿州市高三第一次教学质量检测(期末)文数试卷