设函数
.
(1)当
时,求函数
的单调递增区间;
(2)对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8a06c3ded2c5ce8a18c9c56f97f09a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0ad7e5a4b4a5caac92c75fb0ded84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2018-10-28 14:57:44
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适中
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名校
【推荐1】已知函数
.
(1)求函数
的单调区间;
(2)若
在区间
上没有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb218a76b00ea9ba41e3135a8014f34b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c754494021fa29dcd3b360c19d01394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a7a4a037a4dfe973f1eb683d93d799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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适中
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【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304313b6455f6bb44ce01389875b9dd6.png)
(1)求
的单调区间;
(2)求
在
上的最大值和最小值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304313b6455f6bb44ce01389875b9dd6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b475bccb3bb1fc3c663cf4b6a7ff65ba.png)
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适中
(0.65)
【推荐3】已知函数
.
(1)若
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的单调区间;
(2)若
在其定义域上单调递增,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2c2091507a21e677585829bb1fa670.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65236592312fc7def2cfbed202a8f887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
【推荐1】已知函数
,
.
(1)若函数
在点
处切线方程为
,求
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的值;
(2)当
时,求函数
在
上的最小值;
(3)设
,若对任意
,均存在
,使得
,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d827f87e10a7848797480161dcf3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1a5f2533b8ea54b7022383f875666.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aba319e62dd0fe1c2db30759a8ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc5e86dbead2bde2fdb2aa0ac6c838f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7d0bc99c91ce51480ae55134d23db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c325eb8d56efe097f20d20c9489a5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
【推荐2】设函数
,
.
(1)证明:
.
(2)若
恒成立,求
的取值范围;
(3)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78ef81ecd203bcb697fa3245fb397f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5bb24290556ffea6d57281bf80dd10.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3170fe60f192da846b80802e9af50760.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190e8f02e870f4e30aa46673828e64b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7d40a0571c965f4a9bccda9ee91a1d.png)
您最近一年使用:0次
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(0.65)
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解题方法
【推荐3】已知函数
.
(1)讨论
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b4bf28a8821e3b58f01ebc5ed3495a.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29c7572463225bb3b65cb371f4496440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次