题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-49158.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-98446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-10648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-52963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-98126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-43496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-35004.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-49759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045955-96734.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045955-59821.png)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-98446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-49158.png)
(
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045955-39935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045955-85540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045955-87478.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045956-52016.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-43496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045955-85540.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045956-63088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045956-89561.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-43496.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045956-94553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-80694.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-15410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-98126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-52963.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-63333.png)
②—①得
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-78394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-22564.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-87863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-78394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-79533.png)
(2)由(1)得
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-96717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045959-40046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045959-92601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045959-56148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045959-38969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045954-98126.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045959-62992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050000-95307.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050000-37416.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050000-63640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050000-37416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-79533.png)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050000-48270.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050001-35542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050001-97136.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015050001-73275.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045958-94672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045957-80694.png)
解析
核心考点
试题【(15分)已知是数列的前项和,(,),且.(1)求的值,并写出和的关系式;(2)求数列的通项公式及的表达式;(3)我们可以证明:若数列有上界(即存在常数,使得对】;主要考察你对数列综合等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045937-47466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045937-91165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045937-44840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045938-60055.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045938-16356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045938-96910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045938-15168.png)
设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-75630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-42361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-21077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-36703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-78763.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-51432.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-27825.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-68414.png)
(2)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-75630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-14218.png)
(3)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045927-31404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045928-25803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045928-65955.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045928-71822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045928-25803.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045928-92569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045928-69601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045913-46997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045913-17997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045913-44550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045913-62790.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045914-68306.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045914-17242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045914-79563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045914-17242.png)
(3)记数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045914-85759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045915-35391.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045915-59628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045915-10532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045915-89018.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045915-59628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045907-53719.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045907-65400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045851-38021.png)
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045851-53132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045851-56100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045852-74811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045852-56397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045852-99193.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045852-54914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045853-51568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045853-56537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045853-23835.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045853-93619.png)
(1)写出
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045854-82160.png)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045854-15049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045854-65122.png)
(3)是否存在这样的无穷等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045855-97942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045855-33505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191015/20191015045852-99193.png)
数列,并加以证明;若不存在,请说明理由.
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