题目
题型:不详难度:来源:
已知:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103816-54641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103819-94220.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103819-88868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103819-77642.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-14510.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-94522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-54981.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-58467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-36255.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-96249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-87115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-20785.gif)
(1)求数
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-27680.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103816-54641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103819-94220.gif)
(2)求最小自然数
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-78921.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103822-66537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103822-30266.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103822-56795.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103822-72515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-96249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-29001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-94522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-34116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-10350.jpg)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-58073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-14510.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-24111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-60853.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-96249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-94522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-87115.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103824-77027.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103824-14003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103824-93719.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103824-81717.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-96249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-94522.gif)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103825-84113.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103825-68020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103825-50865.gif)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103825-38754.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103825-62241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103826-39733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103826-16397.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103826-66751.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103826-34255.gif)
(2) 将
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-94522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-96249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103822-72515.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103821-96249.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-29001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103820-94522.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103823-34116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103826-61379.gif)
整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103827-25219.gif)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103827-60510.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103827-57628.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103827-60510.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103822-30266.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103827-12335.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-71296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-75309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-75309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-81257.gif)
使得当
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-75309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-37833.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103826-61379.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103828-95575.gif)
解析
核心考点
试题【 本小题满分14分已知:数列,中,,,且当时,,,成等差数列,,,成等比数列.(1)求数列,的通项公式;(2)求最小自然数,使得当时,对任意实数,不等式≥恒成立】;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/20191014/20191014103806-36550.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103806-68065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103807-34368.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103807-44629.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103746-91443.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103746-77017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103746-10537.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103747-79376.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103747-21469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103747-65268.gif)
(2)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103747-19270.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103746-91443.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103748-88790.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103748-84212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103748-98533.gif)
已知等比数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103729-40228.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103729-92179.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103729-95350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103730-72889.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103729-40228.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103730-19216.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103730-26097.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103730-87707.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103720-14634.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103720-11172.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191014/20191014103720-11322.gif)
A.3 | B.![]() | C.3或![]() | D.![]() ![]() |
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