题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064657-78283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064657-90330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-99721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-32451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-96878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-21415.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064657-78283.png)
(2)求证:当
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-75314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-12039.png)
(3)在(2)的条件下,设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-32451.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064657-90330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-89511.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-34066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-83810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-76543.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-72584.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-69877.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-69786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064701-37882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064701-82853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064701-38944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064701-26499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064702-92556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-34066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-83810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064702-37728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064702-52997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064702-87220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-71691.png)
试题解析:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-85336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-99721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-38962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-75434.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064701-37882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064704-33937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-38962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-72584.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-85336.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-96878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064703-38962.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064704-14917.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064704-70333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064704-29774.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-12039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064705-83201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064705-60663.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064705-29496.png)
因为数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-34066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064659-83810.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064705-15653.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-69877.png)
此时,
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064705-57541.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064706-40911.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064658-32451.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064706-80968.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064706-59581.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064706-30423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064707-15034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064700-69877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064701-82853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064707-43392.png)
核心考点
试题【数列前项和,数列满足(),(1)求数列的通项公式;(2)求证:当时,数列为等比数列;(3)在(2)的条件下,设数列的前项和为,若数列中只有最小,求的取值范围.】;主要考察你对等比数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064644-91776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064644-88198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064644-97889.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064645-27006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064645-95061.png)
(2)前6项的和
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064645-80577.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064629-27023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064629-26131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064630-63881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064630-73217.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064630-72282.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064629-27023.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064630-88275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064630-87980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064631-56264.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064631-96634.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064619-36805.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064619-93047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064619-24904.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064619-13094.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064620-24126.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064620-15567.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064620-24026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064620-39268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064619-93047.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064620-32406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064605-89448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064605-21882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064605-58530.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064606-50562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064606-86675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064606-85475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064549-29666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064549-84155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064549-51140.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064550-13344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064549-84155.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064550-71046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064550-72588.png)
⑴证明:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064549-29666.png)
⑵若
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064550-63965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064551-60609.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064551-94646.png)
⑶若
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064551-80478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014064551-54377.png)
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