已知函数
.
(1)若
在点
处的切线
与
平行,求切线
的方程;
(2)讨论函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e1c90fb4b4afd7dd0e9d11b8b949af.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
更新时间:2021-09-14 21:20:32
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解答题-问答题
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适中
(0.65)
解题方法
【推荐1】已知函数
.
(1)若关于
的不等式
在
上恒成立,求实数
的取值范围;
(2)若
,且曲线
与抛物线
有两条公切线,求正数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a392c57a69e47e9bd8ab6d346a71337e.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df6cc20e2ec32f065ce65ec736603e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bdfed8d6862125dc1fecfce0322a750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ad7c068b9b7c0fd764cf7746407079.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解答题-问答题
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适中
(0.65)
【推荐2】已知曲线
在点
处的切线与曲线的另外一个交点为
为线段
的中点,
为坐标原点.
(1)求
的极小值并讨论
的奇偶性.
(2)直线
的斜率记为
,若
,
求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3758af1832610354f389329929194f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5113d2f05b8e86b804d6107d4118ef0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf30e9a4846d524cd98051694c4313d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6fdd8feb6461934818a5cc398b8e04.png)
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(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a1b90cb1c84cc1e075956fb2e4788d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54299cd2fa2fd54afa88e16f06bf0ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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适中
(0.65)
【推荐3】已知函数
,
(1)当
时,求
在点
处的切线方程;
(2)对任意的
时,
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd16b6624bb0c0079b0a6673b71cefe.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b531df3eb4c81b956718f4083c1c408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b91f4066869ed85dc6fc7d8f77a57b.png)
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名校
【推荐1】已知函数
为自然对数的底数.
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.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde2e6ed5dd30ec8c5180809be3a8f47.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e2e65c8e47882e1299b6e33496ec54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac22e4600943bec92e0af3ad73b99f6.png)
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【推荐2】已知函数
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【推荐1】已知函数f(x)=
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【推荐2】已知函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1c92c42188e3b2cb800d1186eab12.png)
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