题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-45164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-91032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-81383.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-50942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-12714.png)
(3)设函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-65711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-37935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-47884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-66869.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-23400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-93377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-64754.png)
解析
试题分析:(1)先通过函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-45164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-91032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-74313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-31525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-84294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-81383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-17337.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-69873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-47283.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-81383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-47698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-23400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-60979.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-50942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-44640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-19846.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-50443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101834-80749.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101834-62352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101834-56032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101834-25882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-33899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-11147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-40248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-99069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-46311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-37935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-47884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-31281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-37935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-47884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-33995.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101837-46165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101837-25189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-31281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101837-25189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101837-71879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101837-13034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101838-38589.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101838-65256.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-31281.png)
试题解析:(1)由条件,可设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-74313.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-31525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-84294.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101828-75170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101838-67789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101838-12903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101839-86782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101839-52083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-81383.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101839-20240.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101839-56655.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101839-86782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101832-47698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-23400.png)
(2)由(1),得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-23400.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-60979.png)
![]() | ![]() | -1 | (-1,0) | 1 | ![]() |
![]() | - | 0 | + | 0 | - |
![]() | ![]() | 极小值-2 | ![]() | 极大值2 | ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101841-14757.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-44640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101833-19846.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-33899.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-11147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-40248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101835-99069.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-46311.png)
所以若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-50942.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101829-12714.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101831-93377.png)
(3)由于存在实数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-37935.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101830-47884.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-31281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101841-30138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101841-14110.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101842-30640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101842-54037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101842-15257.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101842-60888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101843-53107.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101843-51568.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101843-82169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101843-33560.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101843-38822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101844-16164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101844-69725.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101837-71879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101844-54011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101844-78044.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101845-72760.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101845-82601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-80453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101845-43300.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101845-40549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101845-85505.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101846-30083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101836-87253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101846-82633.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101846-95745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101846-76738.png)
综上所述,存在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101847-72000.png)
核心考点
试题【已知函数的导函数是二次函数,当时,有极值,且极大值为2,.(1)求函数的解析式;(2)有两个零点,求实数的取值范围;(3)设函数,若存在实数,使得,求的取值范围】;主要考察你对函数的单调性与导数等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101813-95134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101814-33566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101814-45606.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101814-33566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101814-98349.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101813-95134.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101814-91092.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101815-48614.png)
A.![]() | B.![]() | C.![]() | D.![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101757-24652.png)
(1)判断函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101757-80932.png)
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101757-80932.png)
(3)若关于
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101757-42956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101758-29248.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101758-37096.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101750-47736.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101750-32201.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101751-99485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101751-23618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101751-74253.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101741-83157.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101741-62085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101742-97787.png)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101742-19550.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101742-97787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101742-38395.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101742-32677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101729-40526.png)
(1)证明 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101729-52386.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101729-40513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101729-50173.png)
(2)讨论
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018101729-47781.png)
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