3.3.2 函数的极值与导数
基础练
一、单选题
A.当![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() |
【知识点】 函数极值的辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b636844dddba5c8e2a96f34e03c7eddb.png)
A.4 | B.2 | C.![]() | D.![]() |
【知识点】 求已知函数的极值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.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/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
【知识点】 函数(导函数)图象与极值的关系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638f348ade850a34a3f0767aed4e6ae0.png)
A.0 | B.1 | C.![]() | D.不存在的 |
【知识点】 函数极值点的辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd58e16598e6bdb3c35194af69951a2a.png)
A.1 | B.-1 | C.(1,-1) | D.(-1,1) |
【知识点】 函数极值点的辨析
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a1d18545a8511cca6f510022d2e536.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/009c297a-edf9-47ac-b2ea-9d9f00330eea.png?resizew=187)
A.0 | B.1 | C.2 | D.3 |
【知识点】 函数与导函数图象之间的关系 函数(导函数)图象与极值的关系
二、填空题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbefdef33174face734249758390671c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
【知识点】 根据极值点求参数
三、解答题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a381f7348140bac7c780512b8f3563e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e458c0eedb3cbcfa8a713571238384ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(1)求实数a的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)