已知函数
,
,
.
(1)当
时,求
的图象在点
处的切线方程;
(2)是否存在实数
,使
对
恒成立?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46bff8ebe53858e8e657e05dac8cd8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/742718a63bf250d7df4281cb60f59b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c472109d36ba3e37771845ac86f714a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4dde954ab58019970e727bac75321e.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acda6b6464db27e1ec18a1522406d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b25aaddb3a0b79b41e8b27df3ce0a34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2023-08-14 17:12:12
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适中
(0.65)
名校
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21663a984177fc56a5940a8274240cc.png)
求曲线
在点
处的切线方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21663a984177fc56a5940a8274240cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f6a8fe1c12aacc7396a4b9526671c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ca6fa9955690cec01db601e3abce0c.png)
若函数
,
恰有2个零点,求实数a的取值范围
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐2】已知函数
.
(1)求曲线
在点
处的切线方程;
(2)设
,
,若
时,
的最小值是3,求实数a的值(e是自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0812c1976174ba9279ff88589de35c.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/704d03ff1e5e0f64d1cf0145cf3bb53d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b790f8bfb84ffcc9a38983141d471322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.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
且
.
(Ⅰ)求
的单调区间;
(Ⅱ)是否存在实数
,使得对任意的
,都有
?若存在,求
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415a177e68f17647dacf5665d27967e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28b08682efa2692b052f64fe1448fce.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc18795cd3a171fa8aced5875be661c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.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)
解题方法
【推荐2】已知
是函数
的极值点.
(Ⅰ)求
的最小值;
(Ⅱ)设函数
,若对任意
,存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e022b7d7e579a9fb311bdfda550e0441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a1788978cd8ca7297a3e42278d7ff7.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6d719aa01059b9f533017e3514f7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e300e60be8d1827744cdc01e7d04c840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33890c6b0bf167514d44139d9dca0154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4624a648f30189a10c8b6683b190ce5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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适中
(0.65)
名校
解题方法
【推荐3】已知函数
.
(1)求函数
的单调区间和极值;
(2)若
,均有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fede373bdd3986f5aa156ddfdbf01bd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78f5035c1a8a656a55d4f3e78dca64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次