题目
题型:解答题难度:简单来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-12939.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-85547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-78705.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-91613.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-11948.png)
(Ⅱ)是否存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-26352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-56831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-58260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-21822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-23935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-26352.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062946-35988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062946-88132.png)
依题意得:
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062946-26344.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062946-82639.png)
代入得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062946-57034.png)
要使
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062946-24279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-91613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062947-86867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062947-56848.png)
所以所求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062944-11948.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062947-15548.png)
(Ⅱ)由题意得方程
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062947-32671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-23935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062947-99991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-23935.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-85137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-54891.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-68281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-71206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062947-56848.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-64747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-85137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-23935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062949-52369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062949-84777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062949-79433.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062949-11633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062949-23352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062950-82373.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062950-87180.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062950-92057.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062950-73986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062950-89129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062951-18409.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062950-73986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062951-30818.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062951-47389.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062951-30232.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062951-44753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062952-73378.png)
若
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062952-18365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062952-61098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062952-56017.png)
③当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062952-65399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062953-75377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062948-85137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-23935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062953-42884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062953-22247.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062953-80925.png)
设集合
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062953-65556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062954-22239.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062954-66063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062954-20447.png)
所以要使直线
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-58260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-21822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-23935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-26352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062954-80521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062945-26352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062954-37270.png)
解析
核心考点
试题【已知二次函数及函数,函数在处取得极值.(Ⅰ)求所满足的关系式;(Ⅱ)是否存在实数,使得对(Ⅰ)中任意的实数,直线与函数在上的图像恒有公共点?若存在,求出的取值范】;主要考察你对一次函数的图象和性质等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062940-99629.png)
已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-94758.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-80551.png)
(1)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-80030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-80030.png)
(2)在(1)的条件下,求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-80030.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-55030.png)
(3)要使函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062937-76023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062938-80452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062938-58049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062930-26491.png)
设二次函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062931-37591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062931-57808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062931-77414.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062931-27912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062931-70263.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062932-83651.png)
(2)若对一切
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062932-70716.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062932-95074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062932-62837.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062929-82164.png)
A. k = 0 | B.k = 1 | C. k =4 | D.k∈Z |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-65226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-19506.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-37237.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-77245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-65226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-25260.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062924-96141.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062924-20918.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-65226.png)
(2)试求函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062923-65226.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062924-80871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819062924-80926.png)
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