题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014700-77284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014700-13753.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014700-52287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-69903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-34471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-34471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-69903.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-58643.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-63635.png)
解析
试题分析:(Ⅰ)要得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-69903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-34471.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-21985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014702-75927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014702-76363.png)
代入
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-21985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014702-75927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-69903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-34471.png)
(Ⅱ)由(Ⅰ)可得:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014702-21322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014702-80027.png)
数列中涉及前
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-71702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-95062.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-71702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-38446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-29857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014704-99622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-71702.png)
试题解析:(Ⅰ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014704-60627.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014704-38350.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014702-76363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014704-39193.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014701-63635.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014704-68003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014705-82473.png)
对
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014703-71702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014705-64463.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014705-36505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014704-99622.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014705-21123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014706-13434.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014706-48360.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014706-59754.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014706-36197.png)
综上所述,原不等式成立.
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014637-10922.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014638-70286.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014638-75164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014638-91231.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014638-54732.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014603-77756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014604-88840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014604-78686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014604-98641.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014604-46642.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014604-84975.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014605-63051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014605-96462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014605-94177.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014605-36468.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014520-84675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014520-94449.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014520-16189.png)
A.9 | B.6 | C.3 | D.1 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014505-24961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014505-70864.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014505-61102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014506-15727.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014506-11814.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014421-26084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014421-33327.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014421-91123.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014422-83728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014422-42903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014422-49033.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014422-23258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014423-74240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014423-66290.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014423-18372.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014422-83728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014423-37707.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014424-59723.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014423-37707.png)
(2)是否存在正整数
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014424-62717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012014424-68164.png)
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