题目
题型:浙江省期中题难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055308-58725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055308-46883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055309-68555.png)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055309-81088.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055309-77659.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055309-47463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055310-20636.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055310-40158.png)
(2)由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055310-14659.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055310-22681.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055310-63115.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055311-95503.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055311-18602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055311-98307.png)
∴单调减区间为
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055311-40560.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055257-34700.png)
(1)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055257-53682.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055257-37301.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055258-79295.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055258-74356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055258-19986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055248-44621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191019/20191019055248-67971.png)
(1)确定b,c的值;
(2)设曲线y=f(x)在点(x1,f(x1))及(x2,f(x2))处的切线都过点(0,2).
证明:当x1≠x2时,f ′(x1)≠f ′(x2);
(3)若过点(0,2)可作曲线y=f(x)的三条不同切线,求a的取值范围.
π |
3 |
| ||
2 |
A.0是f(x)的极大值,也是g(x)的极大值 |
B.0是f(x)的极小值,也是g(x)的极小值 |
C.0是f(x)的极大值,但不是g(x)的极值 |
D.0是f(x)的极小值,但不是g(x)的极值 |
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