题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-14796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-80719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-63888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121731-48448.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-14796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121731-90887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-80719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-63888.png)
(Ⅱ)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121731-53521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121731-51610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121731-53521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-80719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121732-76220.png)
(Ⅲ)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121732-11992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121732-43964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121732-26736.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-16191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-47787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-43749.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-63101.png)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121734-30377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121731-48448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121734-42917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-14796.png)
(II)在(I)问的基础上,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121734-36422.png)
(III) 由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121732-43964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121734-79826.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121735-98555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121735-61686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121735-70638.png)
解:(I)由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121735-26491.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121736-29986.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-14796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121736-17191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-14796.png)
所以,数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-14796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121736-25675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121736-48573.png)
前
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121730-80719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-16191.png)
(II)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121737-93331.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121737-44520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121737-45644.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-43749.png)
(Ⅲ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121732-43964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121734-79826.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121735-98555.png)
必须且只须满足
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121735-61686.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121737-10384.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121736-17191.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121738-49317.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121733-63101.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121706-27507.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121706-90301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121706-68297.png)
记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121707-92621.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121707-96285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121707-56952.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121707-59731.png)
(Ⅱ) 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121708-86718.png)
(Ⅲ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121708-43615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121708-15092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121708-64268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121645-34921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-92938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-46870.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-10511.png)
①求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-74968.png)
②求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-68479.png)
③令
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-17861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121646-99520.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121647-37040.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121647-37916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121647-37916.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121647-67576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121632-41444.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121632-66334.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121632-95148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121633-85051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121633-32767.png)
A.4 | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121625-52082.png)
(I)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121626-20997.png)
(II)记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121626-21892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121615-74157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121615-60866.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121615-55912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121616-36862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121616-11277.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121616-16840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121617-58847.png)
(I)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121616-36862.png)
(II)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121615-74157.png)
(III)由数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121615-74157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121617-80279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012121617-18056.png)
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