名校
1 . 已知函数
,函数
.
(1)若曲线
与曲线
在它们的交点处有公共切线,求
的值;
(2)若存在实数
使不等式
的解集为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b675fefd8a4fd3a613ff21200ec3d76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdf06addad5445e7af1f5023abfb7b7.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e312eca38032174f9739126b81d012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72a93ac3826dfd4d12525aa0b973dc9.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
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b30f60c8af51938333c46924bec89d1.png)
(1)若曲线
与曲线
在它们的公共点处且有公共切线,求
的值;
(2)若存在实数
使不等式
的解集为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6d5ec5d686b88f3558ead72001563cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b30f60c8af51938333c46924bec89d1.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5905cfcc5af4b01d63237486eb6d295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
为自然对数的底数).
(1)当
时,求曲线
在点
处的切线方程;
(2)求函数
的单调区间;
(3)已知函数
在
处取得极小值,不等式
的解集为
,若
且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cbfa3066feb751c2289027c8207287.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f82dce52504345c21bba9e4c8a6fec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b9b35ef863cd832226958a66b79603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c9f7fe82ce33779868c7e319a0133d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-04-03更新
|
546次组卷
|
2卷引用:北京市首师大附2017-2018学年高三十月月考数学(文)试题