题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082708-22636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082708-10717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082708-17692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-90947.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-38460.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-76704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-58149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-78815.png)
(Ⅲ)在(Ⅱ)的条件下,设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082710-37964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-58149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082710-31404.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082710-28319.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082710-63588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-84794.png)
解析
(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-38460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-21740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-45722.png)
(2)由(Ⅰ)可知,当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-90947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-19928.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-76704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-73999.png)
(3)由(Ⅱ)得,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-62139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-82066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-54799.png)
(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-38460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-21740.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-45722.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-68879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082713-30649.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082713-60672.png)
(Ⅱ)由(Ⅰ)可知,当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-90947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-19928.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082709-76704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-73999.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082713-56587.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082710-63588.png)
(Ⅲ)由(Ⅱ)得,
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-62139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-82066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082712-54799.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082713-55949.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082714-87087.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082714-64583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082714-89196.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082715-85288.png)
∴数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082715-36697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082715-13443.png)
要使不等式恒成立,只需
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082715-97925.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082715-37415.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082716-21135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082716-88872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082716-65875.png)
故使不等式对于任意正整数n恒成立的
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082716-87839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082711-84794.png)
核心考点
试题【(本小题满分12分) 设、是函数图象上任意两点,且.(Ⅰ)求的值;(Ⅱ)若(其中),求;(Ⅲ)在(Ⅱ)的条件下,设(),若不等式>对任意的正整数n恒成立,求实数】;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/20191012/20191012082648-67929.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082649-81530.png)
A.常数列 | B.摆动数列 | C.等差数列 | D.等比数列 |
A.它的首项是-2,公差是3 | B.它的首项是2,公差是-3 |
C.它的首项是-3,公差是2 | D.它的首项是3,公差是-2 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082622-97396.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082623-76704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082554-14756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082554-43716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082554-37704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082555-75912.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082555-10784.png)
(1)求r的值; (4分)
(2)当b=2时,记
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082555-36225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082555-55972.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082555-60274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082555-78190.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082556-37840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082558-93004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082558-94758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082559-73701.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082558-93004.png)
(2)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082558-93004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082559-14132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082559-39906.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012082559-14132.png)
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