题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061509-18719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061509-33154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061509-58188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061510-68400.png)
照此规律,第
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061510-77823.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061510-18274.png)
解析
试题分析:根据题意,由于观察下列等式
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061509-18719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061509-33154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061509-58188.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061510-68400.png)
照此规律,等式左边的第一个数就是第几行的行数,那么共有
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061510-77823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061510-77823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061511-20390.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061503-77105.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061503-59228.png)
证明:构造函数
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061503-76521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061503-18328.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061503-11938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061504-85959.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061503-59228.png)
根据上述证明方法,若n个正实数满足
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061504-95870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061456-40660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061457-16614.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061450-74204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061450-65804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061450-39471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061450-74204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061450-21156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061450-30884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-89900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-62652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-11721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-90630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-22976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-55813.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-39063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-24534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061441-95549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061442-10690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061442-63176.png)
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![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061444-79708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061444-70281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061444-26676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061444-42360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-13757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-59222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-61677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-69863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-52949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-17009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-17168.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106061428-34144.png)
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