题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110900-20889.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110900-11274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110901-37092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110901-19338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110901-95232.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110901-54032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110902-73372.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110902-62184.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110902-80195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110901-19338.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110902-69929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-74045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-10148.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-19326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-14677.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-99734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-74618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-74618.png)
从而得出f(x)的表达式,进而得到
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-88892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110905-28926.png)
(2)解本题的关键是先得到
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110905-39782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110905-16388.png)
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-99734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-74618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-88856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-74618.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110905-82438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110906-46879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110906-67947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-88892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110906-19179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110906-27680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110907-72555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110904-79643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110903-19326.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110905-39782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110905-16388.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110907-38345.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110825-57779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110826-46057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110826-14339.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110826-59024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110826-64917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110826-78832.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110827-47187.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110827-11669.png)
(Ⅱ)用数学归纳法证明你的结论.
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110809-52154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110809-51683.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110809-99207.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110809-89358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110810-46206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110803-75625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110804-72633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110804-23091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110804-84064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110755-77652.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110755-13156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110755-80148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110755-44044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110756-85085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110756-24670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110756-22778.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110756-55557.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110757-54871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110757-86960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110757-52649.png)
……………………………………
记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110757-52397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110757-70756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110758-97798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110758-46771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110735-62536.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110735-54009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110736-46354.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110735-62536.png)
(2)如果
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110736-89042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110736-75151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012110736-87203.png)
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