题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-17050.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-64703.png)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-97308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-10728.png)
(Ⅱ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
(Ⅲ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-97116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-58063.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-10728.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-99788.png)
依题意,令
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171546-66569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171546-61837.png)
经检验,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171546-61837.png)
(Ⅱ)解:① 当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171546-45070.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171546-96538.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171547-47750.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171547-85152.png)
② 当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171547-73610.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171547-14082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171547-67073.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171548-33107.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171548-11426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171548-50971.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | - |
![]() | ↘ | ![]() | ↗ | ![]() | ↘ |
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171551-52200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171547-85152.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171552-62427.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171552-31114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171552-49317.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171552-20491.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171553-30902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171548-50971.png)
![]() | ![]() | ![]() | ![]() | ![]() | ![]() |
![]() | ![]() | ![]() | ![]() | ![]() | - |
![]() | ↘ | ![]() | ↗ | ![]() | ↘ |
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171544-14691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-12425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-20079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
③ 当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-76036.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-18199.png)
综上,当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-99143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-18199.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-25587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171551-52200.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-18199.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171552-62427.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-59170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171556-97845.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171556-83215.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-12425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-20079.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
………………10分
(Ⅲ)由(Ⅱ)知
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-99143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171556-20430.png)
………………11分
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171555-25587.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171556-58067.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171557-21309.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171557-81717.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-51125.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171557-34621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171556-20430.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171554-24161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171557-34621.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171557-74817.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171545-10728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171557-32403.png)
解析
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171458-97317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171458-35856.png)
A.![]() | B.![]() | C.![]() | D.![]() |
设
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171434-45964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171434-61643.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-87573.png)
(Ⅰ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-19887.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-96150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171435-31827.png)
(Ⅱ)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171436-85284.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171431-40361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171431-37494.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171432-53931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171431-40361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171429-97344.png)
(I)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171429-83897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171429-75594.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171429-66201.png)
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171429-83897.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171430-20288.png)
(III)若—
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171430-61519.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171430-70465.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171430-20027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191017/20191017171357-27847.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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