题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-47305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-66038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-89406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-52222.png)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-69708.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-36665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-66038.png)
(Ⅱ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-38615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-66038.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-86665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-68731.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-66038.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-32412.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-68731.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-66322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-40058.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-54055.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-47305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-54518.png)
(II)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085559-73673.png)
解:(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-66322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-40058.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-54055.png)
所以数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085556-47305.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085558-54518.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-32412.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085559-68926.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085559-46814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085600-86337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085600-50964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085600-28827.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085600-62908.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085600-44829.png)
满足
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085557-68731.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085546-35531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085546-54347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085547-51748.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085547-72715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085547-76593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085540-46166.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085541-87924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085541-89600.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085515-74359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085516-83342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085516-81486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085516-69276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085516-63936.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085515-74359.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085516-81486.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085517-55120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085517-75389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085517-49591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085516-63936.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085517-75389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085455-25458.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085456-74373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085502-82665.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085502-45842.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085503-66102.png)
A.38 | B.20 | C.10 | D.9 |
已知数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085433-65028.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085433-56045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085434-66040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085434-88785.png)
(Ⅰ)令
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085434-34318.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085434-27699.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085434-84189.png)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085435-59110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085433-65028.png)
(Ⅲ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085435-57373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085435-27437.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085435-37678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085435-93932.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085436-34382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012085435-93932.png)
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