1 . 已知函数
的导函数
的图象如图示,给出如下命题:
①0是函数
的一个极值点;
②当
时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
③
;
其中正确的命题是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffcbcb7057ea09eefed70ff98e96a44c.png)
①0是函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bbc62c76daac391ddc4ce2d6078948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56e14b41966ac2731945ea522620eb49.png)
其中正确的命题是
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解题方法
2 . 函数
的单调减区间为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3875da5e3e0781bd7f406fe93e915892.png)
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3 .
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dfc1b45dbded5c68ad32c827df1832.png)
______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b486c445f066ee6fdc3e47e357bbf5d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/468e12e54a9f92597209394a014926e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dfc1b45dbded5c68ad32c827df1832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b486c445f066ee6fdc3e47e357bbf5d.png)
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4 .
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dfc1b45dbded5c68ad32c827df1832.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493fbc1d39329b90a30d49fa36ecb324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4dfc1b45dbded5c68ad32c827df1832.png)
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5 . 函数
的单调递减区间是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be0ef42fcac290f927d7df36d4a52a5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
6 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5361bc486d0ca81b75256a1e3cd5fe8.png)
A.![]() |
B.![]() |
C.函数![]() |
D.若![]() ![]() ![]() ![]() |
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7 . 设函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e712d5093491bf63ab4cdd34e8ca44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9127192aad98a69f269155fcab9e220.png)
A.-1 | B.![]() | C.![]() | D.1 |
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8 . 某质点的位移
(单位:
)与时间
(单位:
)满足函数关系式
,则该质点的瞬时速度的最小值为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65502a7ea4d1ce6d6d8c720845c73e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c55c6ac7fe1758801b70fa48d7164c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53afeaf21f93091b71608d21540be239.png)
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9 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cec1103dc9dea9f83af648f22fad066.png)
A.![]() |
B.![]() ![]() |
C.曲线![]() ![]() |
D.曲线![]() ![]() |
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10 . 已知函数
在
时取得极值.
(1)求函数
的单调区间;
(2)求函数
在区间
上的最小值;
(3)若
有两个零点,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e896d105cce0a6ea3003a78dae6346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30a5498bb0236a2bb04ae38329b408.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed118174009b84dad78216de99db52e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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