题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190748-57896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190748-40085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-31422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-63412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-22649.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-49363.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-34937.gif)
(3)试探究直线
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-67023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-15267.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190751-86901.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190748-57896.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190751-79661.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-63412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190748-40085.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-31422.gif)
∴当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190751-41422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-63412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190751-14942.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190752-75035.gif)
(2)解:由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190752-32460.gif)
∵1是函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-63412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190752-73212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190752-50304.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190753-70698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190753-38297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190753-51160.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-63412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-31422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-63412.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190749-22649.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190753-38469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190754-86156.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190754-32036.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-34937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190751-86901.gif)
(3)解:由(2)知
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190754-74030.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190754-86156.gif)
要讨论直线
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-67023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-15267.gif)
即求方程组
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190754-52447.gif)
由
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190755-54980.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190755-99954.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190755-38705.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190755-86899.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190756-83695.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190756-79408.gif)
由方程
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190756-79408.gif)
得
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190756-44795.gif)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190754-86156.gif)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190756-23781.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190757-10831.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190757-98208.gif)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190757-36431.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190757-50194.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-33145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-93454.gif)
若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-55461.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-20046.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-73116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190759-86883.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190759-24989.gif)
且当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190759-48151.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190753-38297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190759-19343.gif)
综上所述,当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190757-98208.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-67023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-15267.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-33145.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190759-48151.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-67023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-15267.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190758-73116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190800-88202.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-67023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190750-15267.gif)
核心考点
试题【已知函数在上是减函数,在上是增函数,函数在上有三个零点,且1是其中一个零点.(1)求的值;(2)求的取值范围;(3)试探究直线与函数的图像交点个数的情况,并说明】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190727-10595.gif)
(1)求a、b的值;
(2)求A的取值范围,使不等式f(x)≤A-1987对于x∈[-1,4]恒成立;
令
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190728-41876.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190728-40183.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190710-90733.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190710-46677.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190710-92557.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190711-93513.gif)
(1)判断
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190711-75881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190711-15301.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190712-84868.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190712-83578.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190657-98975.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190657-87586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190657-25189.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190657-89447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-71957.png)
(2)定义
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190657-89447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-71957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-94528.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-13027.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-89070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-74941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-55477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-61790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-69872.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-55477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-20648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-35878.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190659-55477.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190700-76293.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-89070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190658-74941.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190700-51064.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190700-80348.png)
(3)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-25118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-95857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-83599.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-95857.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-25118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-32122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190701-62232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190636-18517.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190636-75008.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190636-73741.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190636-28523.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190637-75268.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190615-49373.gif)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190616-88980.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190616-34329.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190616-41447.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190617-17341.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190617-67452.gif)
(3)若数列
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190617-59227.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190617-29784.gif)
求数列
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190617-28478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20200205/20200205190618-74260.jpg)
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