题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151454-78770.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151454-41480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-22055.png)
(1)比较
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-78856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-89281.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151456-47860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151456-33406.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151456-37083.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151456-12794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151456-12794.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151457-82296.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151457-29287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151457-70204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151457-59711.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-40892.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-95440.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-21447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-95440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-89958.png)
解析
试题分析:(1)根据定义求出
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-78856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-89281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-78856.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151455-89281.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151459-43689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151459-10009.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151459-99890.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151459-63902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151500-42861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151500-52632.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151500-20703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151500-95654.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-84347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151457-29287.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-75454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-62513.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-27008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-32553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-27008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-32553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-95440.png)
试题解析:(1)由定义知
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151502-26011.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151502-95779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151502-64033.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151503-38066.png)
要证
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151503-74636.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151503-53315.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151503-75927.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151503-98042.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151504-80398.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151504-78721.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151504-80339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151504-99686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151505-48926.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151456-47860.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151505-40051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151505-40579.png)
∴不等式
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151503-74636.png)
(3)由题意知:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151506-44367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151506-51499.png)
于是有
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151506-30537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-62513.png)
又由定义知
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151506-78056.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151507-51508.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151507-30427.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151507-41958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151507-84370.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151507-73060.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-75454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-62513.png)
设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151508-52662.png)
①当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151508-80024.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151508-57407.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151509-28117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151509-42537.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151509-74416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151509-50670.png)
∴ 当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151509-74416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151510-58548.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151510-70195.png)
②当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151510-14703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151510-86615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151511-44831.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151511-58019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151511-62542.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151501-62513.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151512-42874.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151512-38417.png)
整理得:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151512-41264.png)
综上所述,实数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-95440.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151458-89958.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151439-82796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151439-17841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151256-44993.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151256-31607.png)
(Ⅰ)画出
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151256-57242.png)
(Ⅱ)设A=
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151257-97253.png)
(Ⅲ)方程
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151257-98230.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151257-32779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151143-72612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151143-18981.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151143-72612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151144-94873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151144-83367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151144-51329.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151144-17944.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151144-49798.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151145-44460.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151145-44229.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151145-89042.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151145-80108.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151146-47987.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151131-76547.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151131-83345.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151132-28882.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151132-26703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151114-67352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151114-40790.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151115-27250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151115-35302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151115-54586.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151115-27061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151114-67352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151116-38688.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151115-27250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151116-27593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151116-88630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151114-67352.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151116-27593.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151116-49834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204151116-11340.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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