题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030419-64196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030419-51788.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030419-97730.png)
(I)若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030420-14850.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030420-74693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030420-88563.png)
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030420-20404.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030421-24849.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030421-17584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030421-85659.png)
解析
(1)由f(x)=ax3+bx2-a2x(a>0),知f"(x)=3ax2+2bx-a2(a>0)依题意有 f′(-1)=0,
f′(2)=0,
由此能求出f(x).(2)由f"(x)=3ax2+2bx-a2(a>0),知x1,x2是方程f"(x)=0的两个根,且|x1|+|x2|=
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030421-25554.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030358-39988.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030300-78289.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030301-35824.png)
A.![]() | B.[-1,3] | C.[0,3] | D.[-1,0] |
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030205-62075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030206-31451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030113-24462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030113-38122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030113-69376.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030113-46437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030114-86407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030114-52825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030114-85169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030047-47655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030047-29061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030047-85700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030047-56436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030048-26385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030048-63416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030048-68684.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030048-25260.png)
(2)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030049-63874.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030047-56436.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030049-74618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030049-28087.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030049-62551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205030049-69865.png)
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