题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021621-97561.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021621-31498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-63273.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-37358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-32750.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021623-13107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021623-21692.gif)
(2)是否存在一个实数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021623-14075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021623-43903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021623-14075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021621-97561.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-65484.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-46255.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-12297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-37358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-78554.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-11374.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-45626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-31599.gif)
解析
解:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-12297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-37358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-78554.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021624-11374.gif)
(2)假设存在一个实数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021623-14075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-40122.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-10557.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-11578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021626-77683.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021626-57710.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021626-94060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021626-16574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-45626.gif)
此时
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021627-77013.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021627-18013.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021626-94060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-45626.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-40122.gif)
(3)由(2)得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021627-79587.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021622-74796.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021627-79947.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021627-13369.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021628-71580.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021628-14787.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021628-10931.gif)
①--②得:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021628-93078.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021628-68060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021629-38289.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021626-94060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021625-31599.gif)
核心考点
试题【(本题满分14分)已知数列满足,.(1)求,,(2)是否存在一个实数,使得数列成等差数列,若存在,求出的值;若不存在,请说明理由(3)求数列的前项和】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021611-65994.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021612-91292.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021612-31867.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021612-91841.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021612-15604.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021611-65994.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021612-92216.gif)
(1)证明: an>a (2)试判断an与an+1的大小,并证明结论。
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021606-30619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021606-30619.gif)
A.28 | B.36 | C.5 | D.46 |
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021559-93556.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021600-83020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021600-98237.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021600-68192.gif)
A.
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021600-61539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021601-40792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021601-37726.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021600-61539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021601-40792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021600-61539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021601-40792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021556-84212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021556-42415.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021556-29651.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021557-16737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021557-29987.gif)
设等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021551-96978.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021551-67539.gif)
(1)求这个数列的通项公式;
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021551-26082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013021551-26082.gif)
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