题目
题型:解答题难度:一般来源:不详
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-87343.gif)
(1)若函数在区间
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-16187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-85091.gif)
(2)问:是否存在常数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-17422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-93209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-92409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-92409.gif)
的长度为
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-11270.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-73149.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-17422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-93209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-92409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-92409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-11270.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-87343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071000-25462.gif)
∴函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-16187.gif)
∴要函数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-16187.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071000-84236.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071000-90302.gif)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-73149.gif)
⑵ 当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071000-97488.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071000-66933.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071001-12613.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071001-99924.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071001-90458.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071001-79343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071001-96112.gif)
经检验
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071001-96112.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071002-90286.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071002-27400.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071002-76595.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071002-19661.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071002-65493.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-70735.gif)
经检验
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-70735.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-50100.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-48917.gif)
即
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-50492.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071004-37168.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071004-42203.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-70735.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071004-20600.gif)
经检验
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071003-70735.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819071004-20600.gif)
所以存在常数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070958-17422.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-93209.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-55591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-92409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-92409.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070959-11270.gif)
------------------14分
核心考点
试题【(本题满分14分)已知二次函数:(1)若函数在区间上存在零点,求实数的取值范围;(2)问:是否存在常数,当时,的值域为区间,且的长度为。】;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/20190819/20190819070951-71020.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070951-39973.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070952-45478.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070952-30481.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070952-84299.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070952-99065.gif)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070952-12701.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070953-31168.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070953-57051.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070953-89413.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070947-69060.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070948-73580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070948-16790.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070948-48318.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070948-23764.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070943-15620.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070943-70867.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070944-15105.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070944-23715.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070944-44280.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070941-10821.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070941-50568.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070941-18073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070942-37782.gif)
则满足条件的实数
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070942-60676.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070939-32621.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070939-22659.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20190819/20190819070939-27556.gif)
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