解答下列各题:
(1)已知函数
,求函数
的单调区间.
(2)已知函数
,若
,讨论函数
的单调性.
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5323c67855f56b6b1f39ebcf027362cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba17f18c17d3d9f4145022baeb5c72bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
更新时间:2023-02-21 20:04:42
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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1】设函数
,
,
.
(1)若函数
为奇函数,求函数
在区间
上的单调性;
(2)若函数
在区间
内不单调,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c848f7f003a4c711b666ba3d0a75cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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适中
(0.65)
【推荐2】设函数
.
求函数
的单调区间和极值.
若函数
在区间
内恰有两个零点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864a4ec06d42286702be114224d7631d.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/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/514fb4bc7873d52c3576866d5d021f49.png)
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【推荐3】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9440cd40a3954ce0b78fd1a8ac9d3d9.png)
(1)求
的单调区间.
(2)若
,证明:对任意的
时
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9440cd40a3954ce0b78fd1a8ac9d3d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15bf17bdca05b62ca2aa6dfc295b0cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97148e04ca6a9f9dca0aba91ce4e1d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85187c85826beeca12137805293fff77.png)
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解答题-证明题
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适中
(0.65)
【推荐1】已知函数
.
(1)求
的单调区间;
(2)若
在
上恒成立,求实数
的取值集合;
(3)当
时,对任意的
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28449135b217ca68615e72cb192b387.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a0a547c81fe36ab8c3ea79622ce7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91169dfb9b59464dbd23a46882af30d.png)
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适中
(0.65)
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【推荐2】已知函数
.
(1)讨论
的单调性;
(2)当
时,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452b6e0122e1ffa9d19555f8d64b08fa.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02cab3de3b2d4483a4950f81a34eb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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