如果函数
的导函数的图象如图所示,给出下列判断:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/f86896a3-d4cb-4fe9-85e3-4777f6dbe99e.png?resizew=215)
①函数
在区间
内单调递增;②当
时,函数
有极小值;
③函数
在区间
内单调递增;④当
时,函数
有极大值.
则上述判断中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/f86896a3-d4cb-4fe9-85e3-4777f6dbe99e.png?resizew=215)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed3636ebd750003453533da1463036b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1beb189381103ad1e758fd8cfedb6355.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
则上述判断中正确的是( )
A.①② | B.②③ | C.③④ | D.③ |
更新时间:2018-08-24 16:11:23
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解题方法
【推荐1】已知函数
的定义域为
,部分对应值如下表,
的导函数
的图象如图所示.当
时,函数
的零点的个数为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/546b2edc-0dbf-4d7b-a5a7-dcfa0f0042fb.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0581fcaa2dcf917479091fded7f5b21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d0c99ddd028f0bc3b1d64924ff0f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf9befc3b336d83b83bcfcbc19c0752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9c82c1ec9a0ff6eec86178962285f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/546b2edc-0dbf-4d7b-a5a7-dcfa0f0042fb.png?resizew=175)
-1 | 0 | 2 | 4 | 5 | |
1 | 2 | 0 | 2 | 1 |
A.1 | B.2 | C.3 | D.4 |
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【推荐2】已知函数f(x)的导函数
=ax2+bx+c的图象如图所示,则f(x)的图象可能是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/41c64fdd-d629-41e3-a493-b24f50cd4810.png?resizew=119)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/41c64fdd-d629-41e3-a493-b24f50cd4810.png?resizew=119)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐3】已知函数
为连续可导函数,
的图象如图所示,以下命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ffa6b1849e0d06c22eba4d91a90176.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
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【推荐1】下列函数中,既是奇函数又存在极值的是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】对于函数
其中判断正确的有( )
(1)
是
的单调递减区间;
(2)
是
的极小值,
是
的极大值;
(3)
有最大值,没有最小值;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8a4fb3dec5f8268b812ba60bb9620c.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/985684dcdf66e0b14bc537977611aa62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fe45ecd5d507adc2e7ffc1b1755856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb71ad742b421a7ba62d8c1923d33358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8930c39eb749a026c170c4260fe3d009.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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【推荐1】已知
是函数
的导函数,若函数
的图象大致如图所示,则
极值点的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8757e9702af1d2aff37bf5f79d8a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/17/e4b84ac5-a7e8-4953-a698-627e6e626c6c.png?resizew=177)
A.1 | B.2 | C.3 | D.4 |
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【推荐2】如图,已知直线
与曲线
相切于两点,函数
,
,则函数
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/43e525ed-42fe-4d5a-876e-79030883c38e.png?resizew=173)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dff1399588dde231931f1357b0a28956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f53acc676c43c13aa47dcc3e2719b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/43e525ed-42fe-4d5a-876e-79030883c38e.png?resizew=173)
A.有极小值,没有极大值 | B.有极大值,没有极小值 |
C.至少有两个极小值和一个极大值 | D.至少有一个极小值和两个极大值 |
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【推荐1】已知定义在区间
上的函数
的图象如图所示,函数
是
的导数,则不等式
的解集为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/2ce7c3b1-5806-4023-96cf-f39fb594660d.png?resizew=152)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e91676c7adfd65a76f56a0c1d4bbe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e940403461d545d80520d57ddb2d085e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/28/2ce7c3b1-5806-4023-96cf-f39fb594660d.png?resizew=152)
A.![]() | B.![]() |
C.![]() | D.![]() |
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【推荐2】已知函数
,若
是
的导函数,则函数
的图象大致是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eaa2ab2aa88a524aeaa5f2b143906c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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