题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064707-37226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-37756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-25963.png)
则(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-58687.png)
(2)按以上规律,第
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-29932.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-96024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064709-61265.png)
解析
试题分析:(1)因为23=3+5,33=7+9+11,43=13+15+17+19,
所以53=21+23+25+27+29,分析可知83=57+59+61+63+65+67+69+71共8项,即在
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-58687.png)
(2)从23起,k3的分解规律恰为数列3,5,7,9,……,2n+1,……
若干连续项之和,23为前两项和,33为接下来三项和,利用等差数列的求和公式可得
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064708-96024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064709-71910.png)
点评:归纳推理的一般步骤是:(1)通过观察个别情况发现某些相同性质;(2)从已知的相同性质中推出一个明确表达的一般性命题(猜想).
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064700-59473.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064701-25543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064701-14622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064701-64016.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064655-22819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064652-65418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064652-46853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064652-85757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064645-92744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064645-21318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064645-70649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064645-95415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064645-59701.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064646-80667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064646-24987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064646-44807.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064646-71579.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064647-95222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064639-44163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064639-47228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064639-73605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064639-44163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-91676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-88047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-43300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-43300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-87581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-87581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-76962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-76962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-91676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-11182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-11678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-11182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064640-91676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-11182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-11678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-11182.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064641-10945.png)
(理)那么标到
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064642-77464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106064642-93610.png)
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