已知函数
(
为自然对数的底数).
(Ⅰ)若函数
的图象在
处的切线为
,当实数
变化时,求证:直线
经过定点;
(Ⅱ)若函数
有两个极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b03c9bfafb2a6fdf5774a59849131ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcd143a57a268a5a8ef486e2a4d5c0a.png)
(Ⅰ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44204c69cf95f80f76821b30a653a48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c7ba597289504132a99639e6f9e319f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9957f52a4f4a424e522d0afb0bbcdabb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b331bbdd68d110681fc4547748b93bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9957f52a4f4a424e522d0afb0bbcdabb.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44204c69cf95f80f76821b30a653a48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b331bbdd68d110681fc4547748b93bb.png)
2019高三·全国·专题练习 查看更多[1]
(已下线)2019年一轮复习讲练测【新课标版文】3.3导数的综合应用【讲】
更新时间:2018-09-04 17:53:05
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解答题-问答题
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适中
(0.65)
名校
【推荐1】已知函数
,
.
(1)求
在点
处的切线方程;
(2)若不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4647e6430f178298c0c7748bf0a54802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aff8d9b6533ff319420cdc5e8740b04.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1954c4fd3c6f93eeda9fd17db44a3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】已知函数
.
(1)当
时,求函数
在
处的切线方程;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c626ab966379894b79243df4fa0759a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a380067a20c25338eb0312e8df6c2760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐3】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)若函数
的极大值点为2,求a的取值范围;
(3)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799e0db4b64f85b168329f91554e1e0b.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edaef66a0582e95fb5c57a405acdea9a.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd791e33f22acb48a816d769c2e3ffa.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
【推荐1】已知函数
.
(1)若
在
处取得极值,求
在区间
上的值域;
(2)若函数
有1个零点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba6741e88ff79310d3467dfa43bf8a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac9645fc10b3174bb389188df27e19a3.png)
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解答题-问答题
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适中
(0.65)
【推荐2】已知函数
.
(1)讨论函数
的单调性;
(2)若函数
只有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa810b1e95f089d405452a391de1877.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次