题目
题型:不详难度:来源:
在数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072019-36227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072019-88844.png)
(1) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072019-65995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-34824.png)
(2) 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072019-36227.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-15016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-35343.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-64552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-69474.png)
解析
(1)由已知得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072026-97657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-23928.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-67869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-18330.png)
(2)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-40200.png)
(1)由已知得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072026-97657.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-23928.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-67869.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-73821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072028-62984.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072028-91816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072028-35823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-34824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072020-64552.png)
(2)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072027-40200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072028-72684.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072028-84615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072029-68484.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072029-51153.png)
①-②得
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072029-23674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072029-23230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072029-53053.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072014-87158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072015-43714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010072015-41549.png)
A.3 | B.4 | C.5 | D.6 |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071842-71124.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071842-88256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071843-94392.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071820-25298.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071821-20934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071821-81192.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071715-53724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071715-87825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071715-43823.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071716-43700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071716-36841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071716-33923.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071715-53724.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071716-47702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071703-31654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071703-24098.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071703-94977.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071703-55212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071704-19539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071703-31654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071704-51899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191010/20191010071704-91112.png)
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