题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045112-41987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045112-70616.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-35990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-48408.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-50147.png)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045112-41987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-66235.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045114-52053.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045114-80574.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-35990.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045114-60446.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045114-86480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045114-39731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045115-62768.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045115-25348.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-50147.png)
(2)解:由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045113-50147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045112-70616.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045115-53585.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045115-46806.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045116-68610.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045116-81897.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045116-77165.png)
…………………… 10分
两式相减得:
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045116-45220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045116-67591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045117-76769.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045117-92028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045117-62656.png)
解析
核心考点
举一反三
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-25529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-43686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-78636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-34363.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-88075.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045055-88075.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045056-59764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045056-45429.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045056-77890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045056-43836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045056-88635.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045057-94281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045057-70024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-61416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-20480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-61416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-89978.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-61416.png)
(2)数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-60361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045047-96406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045046-60361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045047-19199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045047-51434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045047-47300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045048-81836.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045032-99537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045032-45304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045032-27644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045032-91130.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045033-34799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045032-99537.png)
(II)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045033-26067.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045032-45304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045025-30155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045025-42800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045026-73320.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045026-14693.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045026-18948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045026-11917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045027-56509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045027-29904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045027-48156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045027-58404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045027-31681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045028-14469.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045005-45057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045005-71308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045005-45529.png)
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