题目
题型:不详难度:来源:
对于函数
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234850-98390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234850-85903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234850-69339.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234850-22713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234850-98390.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234851-45754.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234851-18258.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234851-22456.gif)
(1)求实数
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234851-52765.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234852-22055.gif)
(2)已知各项不为零的数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234852-61252.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234852-42086.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234852-79430.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234852-34138.gif)
(3)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234853-80579.gif)
答案
(1)c="2 " b=2
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234853-82609.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234853-34583.gif)
(3)略
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234853-93645.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234854-38293.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234854-26792.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234854-32157.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234854-84225.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234854-75461.gif)
(2)由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234855-26315.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234855-50682.gif)
又
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234855-99676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234856-90623.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234856-51701.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234856-51577.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234856-69850.gif)
两式相减,得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234856-26464.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234857-99594.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234857-68240.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234857-12368.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234857-68934.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234858-80954.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234858-48123.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234858-77192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234858-93410.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234858-90889.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234853-34583.gif)
(3)由(2)知,待证不等式即为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234859-89247.gif)
它等价于
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234859-54663.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234859-32975.gif)
若令
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234859-68678.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234859-78801.gif)
构造函数
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234900-13555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234900-51288.gif)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234900-13384.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234900-97201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234901-79582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234901-30177.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234900-97201.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234901-79582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234901-29358.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234901-63808.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234902-95638.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234902-45673.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234902-14490.gif)
于是
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234902-95314.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234903-36296.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234903-56191.gif)
则有
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234903-46892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234903-96146.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234856-90623.gif)
核心考点
试题【(本小题满分12分)对于函数,若存在R,使成立,则称为的不动点.如果函数N*有且仅有两个不动点0和2,且(1)求实数,的值;(2)已知各项不为零的数列,并且, 】;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/20191012/20191012234845-87005.gif)
A.a1 | B.a2 | C.a3 | D.a4 |
数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234835-52730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234836-69993.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234836-47110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234835-52730.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234836-38049.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234836-93810.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234830-24734.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234831-67160.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234831-17558.gif)
A.3 | B.6 | C.10 | D.9 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234812-37775.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234812-22199.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234812-87470.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234812-33111.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234813-72892.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234812-37775.gif)
(3)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234813-19088.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234803-96817.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234803-99319.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234804-12001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234804-29308.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012234804-19980.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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