题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-28493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-75470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-47204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-24034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-11940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-40900.png)
(Ⅰ)计算
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-55534.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-75470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-28493.png)
(Ⅱ)证明:对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-20090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-61437.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135248-26576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135248-26885.png)
将
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135248-33050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135248-59580.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135249-14980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135249-32228.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135249-91566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-75470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135250-96340.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135250-45624.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135250-93207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135250-90005.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135250-15024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135251-76423.png)
(Ⅱ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135246-28493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135251-30932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135251-77573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135251-92722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135252-31023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135252-99344.png)
相减可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135252-74904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135252-73170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135252-73037.png)
可见,对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-40900.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135253-62606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135253-91664.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135253-48508.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135247-20090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135253-99810.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135007-95918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135008-29844.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135008-96883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135008-34773.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012135008-62645.png)
A.![]() | B.![]() | C.2 | D.9 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134950-80643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134950-14726.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134950-24065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134951-89574.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134950-14726.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134951-34200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134951-31456.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134950-24065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134952-16139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134824-72679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134824-38442.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134824-78745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134824-80498.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134825-99525.png)
(2)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134824-72679.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134825-79591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134825-95714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134630-81704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134630-55374.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134630-83687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134630-81704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134631-65004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134631-25474.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134519-39206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134519-78904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134519-86379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012134520-69938.png)
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