已知函数
,
(1)当
时,求证:函数
存在唯一极值点;
(2)当
,
,求证:函数
在
上有唯一零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a85ffbd37bf20493c7a477841310da68.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeba2f469a3574adfdcead376f017918.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/338c060b447e5efdfd9d70edcff2e5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2981c9b1a915149ad18e655f8189eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fce155963060b2e5b9147a185897cc.png)
更新时间:2020-06-20 20:37:12
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解答题-问答题
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较难
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【推荐1】已知函数
.
(1)若
,求函数
的所有零点;
(2)若
,证明函数
不存在极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abd4a4835b7948cc473fc84091d2aeb.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c67a7e28dba059006021a2e2105f538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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【推荐2】已知函数
.
(1)若点
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图象的对称中心,求过点
的
的切线方程;
(2)若
,且
有三个不同的零点
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,求
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd041ab13da08aba32691378e68465e0.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1d4f1ea936c629c0c340aef20eb252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65706b9495a7ab156fe4681b4f187afb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed2edae42fa90deb0e4f3d24589a78b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-证明题
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较难
(0.4)
名校
解题方法
【推荐1】已知函数
.
(1)若
,求函数
在
处的切线方程;
(2)若函数
在
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的取值范围;
(3)若函数
有两个极值点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea1dae1d080a1ba5bfe1cfa4bbdfb21.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8654d4c41dcad9277be02979ffb057b.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
解题方法
【推荐2】已知
.
(1)当
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(2)当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab74d8baa02cb35caaa452f418fed661.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e445f608e4a7d8535b100c0199a8ecf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48350c9f896c18a64f27867ca81c9be2.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
解答题-问答题
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较难
(0.4)
【推荐3】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4ea403d175b5f329bfc2f962dd356.png)
(1)当
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(2)是否存在实数a,使得
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a4ea403d175b5f329bfc2f962dd356.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)是否存在实数a,使得
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
您最近一年使用:0次