题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-63052.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-17625.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-47016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-18066.gif)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-99579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-59144.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073243-78331.gif)
(2)如果(1)中获得了一个结论,请你推测能否将其推广.
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-25535.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-49857.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-63502.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-76156.gif)
因此
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-25535.gif)
(2)由
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-25535.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-78864.gif)
于是推测
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073244-49857.gif)
证明:因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-63052.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073242-17625.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073245-46041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073245-58529.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073245-33467.gif)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073245-76880.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-97479.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-97502.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-53997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073233-18393.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-52813.gif)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-60045.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-57765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-78577.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-46340.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-51408.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-87096.gif)
(3)证明:存在不等于零的常数p,使
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073234-28187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073218-83452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073218-18122.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-33270.gif)
┅┅
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-60447.gif)
将以上各式分别相加得:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-28189.gif)
即:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-29846.gif)
类比上述求法:请你求出
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073219-62677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073210-72619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073210-91010.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073210-37221.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073211-56492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073211-40304.gif)
A.类比推理推理结果正确 | B.类比推理推理结果错误 |
C.归纳推理推理结果正确 | D.归纳推理推理结果错误 |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073206-64419.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106073206-35546.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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