题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-10983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-63984.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-49879.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-63605.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-32518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-28576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-63605.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-47215.png)
(Ⅱ)综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-39238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-70195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-98475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-95795.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-64026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-92426.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-78830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-91632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-64139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-32518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-28576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-63605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-37298.png)
解析
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-99099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-20118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-47215.png)
(2)对于参数a进行分类讨论得到不同情况下的单调性质的证明
(3)在第二问的基础上,根据单调性得到最值。
(Ⅰ)解:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-99099.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-20118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-47215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-47215.png)
(Ⅱ)解:① 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-82977.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-42590.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
② 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110118-14117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110119-69252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110119-11441.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110119-46832.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-70195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110119-24420.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ↘ | ![]() | ↗ | ![]() | ↘ |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-98475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-95795.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-64026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-92426.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-78830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110123-95149.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110119-24420.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ↘ | ![]() | ↗ | ![]() | ↘ |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-91632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-64139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
③ 当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110123-75164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-39238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-70195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-98475.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-37779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-95795.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-64026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110116-92426.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-78830.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-91632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-64139.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
(Ⅲ)由(Ⅱ)知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-39238.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110124-38687.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-70195.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110124-50809.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110124-39303.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110124-65986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110115-72147.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-32518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110124-38687.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110113-78135.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-32518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-28576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110114-63605.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110117-37298.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110107-41046.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110108-40765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110108-58407.png)
A.(一2,0)![]() ![]() | B.(一2,0)![]() |
C.(-![]() ![]() ![]() | D.(-![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110059-55076.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110059-34379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110100-59325.png)
A.1 | B.2 | C.3 | D.4 |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110052-46831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110052-72997.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110052-79452.png)
(1)求集合D(用区间表示);
(2)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110052-14254.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110039-68262.png)
A.x=![]() | B.x=![]() |
C.x=2为 f(x)的极大值点 | D.x=2为 f(x)的极小值点 |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110025-13237.png)
(1)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110026-90156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110026-79023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110026-23329.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110026-21637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110026-90156.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110027-59356.png)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110026-21637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110027-35983.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018110027-46800.png)
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