已知函数
,其中
.
(1)当
时,求函数
在点
处的切线方程;
(2)如果对于任意
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e570844bf630bc2ac8ffd1e4da3770b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)如果对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
22-23高三上·河南南阳·期中 查看更多[3]
更新时间:2023-07-27 14:38:40
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相似题推荐
解答题-问答题
|
较难
(0.4)
名校
【推荐1】已知在函数
(
)的所有切线中,有且仅有一条切线
与直线
垂直.
(1)求
的值和切线
的方程;
(2)设曲线
在任一点处的切线倾斜角为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7832f74d971cce6b5afff48f238c6ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)设曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
您最近一年使用:0次
解答题-问答题
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较难
(0.4)
【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aef4abbaa656a427a6fb9fc8563911.png)
(Ⅰ)设两曲线
有公共点,且在公共点处的切线相同,若
,试建立
关于
的函数关系式,并求
的最大值;
(Ⅱ)若
在
上为单调函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7aef4abbaa656a427a6fb9fc8563911.png)
(Ⅰ)设两曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27dbc640aecfc1e7190812ffbe95377.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4697f8dafb40a260ab6815c88d555e00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a2b13d4eb8aaff7042dd6c54469f45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-证明题
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解题方法
【推荐1】已知函数
.
(1)求证:函数
在
上单调递增;
(2)若
对
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a28741a8673e888e253ed4d89745e641.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d291738bed3d4c7bb87f2aca02ddc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐2】已知函数
.
.
(1)当
时,求曲线
在点
处的切线方程;
(2)判断函数
的极值点的个数,并说明理由;
(3)若对任意
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0ce11b0940c9a2b3d9d83f73d0487f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.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
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(0.4)
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【推荐3】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb839bcab02bfd39b599d7d29312db0.png)
(1)若
对任意
恒成立,求实数
的取值范围;
(2)当
时,若函数
有两个极值点
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb839bcab02bfd39b599d7d29312db0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4921923069c4f38a0af1ff8637e35b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef9a8c6dafda00d36bc6f82abf714b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0c326d56a83776d93c34a49b0a0c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dae74c724114bfeff024dd7b79f5edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a330a38e1a3105d0d4256c18b45c1d46.png)
您最近一年使用:0次