已知函数
,
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,关于x的方程
在区间
上有两个不相等的实根,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b70521cecd590b62b84ed0319c5ea437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c1c003ff866467dff8a05f663171e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
更新时间:2021-01-18 13:18:51
|
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解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】已知函数
,
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f37416e467b553ba75a636533304c9f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347c62b44fae618a37c145b3b5d1f1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】已知函数
的图象在点
处的切线方程为
.若对任意
有
恒成立,求实数
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff1c53467e8c62af7bb9cdc19dfafa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14cdf777c54d27e1e9c707ad9b5f8df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18ee0a9e35aea04b71785b249cc4b24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d8844fd9ccc65e15a1db59c0ec5ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c996a4c596f4a613b32563626855a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac5788da89f70a17415b0da8e25d065.png)
.
(1)若函数
在
时取得极值.求实数
的值;
(2)若对任意的
都有
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac5788da89f70a17415b0da8e25d065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c76de293c85fff13097bf6b9f5114d3.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988507bd1b171b855fed72c5235916a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7b0fda46302e6ea0afc7b89e5d06a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/097ae8d30a20dd4aae75ae8945dbfb79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceffcfd420129a9ebac172089d9e61a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】函数
.
(1)讨论函数
的单调性;
(2)是否存在实数
,使得不等式
恒成立?若存在,请求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/377d5593e31f8aa2107a743d0bb58867.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次