题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015707-94964.png)
(1当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015708-48667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015708-45862.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015708-10539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015708-57336.png)
(2)当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015708-89282.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015709-93021.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015709-96847.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015709-79329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015709-54692.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-39410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-29141.png)
答案
解析
试题分析:(1)利用导数求函数单调性,注意考虑函数定义域. 两个函数的单调性可以从可以确定的函数入手.因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-96702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-56704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-82032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-79362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-14251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-37637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-26317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-26317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-30765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-87838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-54279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-32279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-44439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-52365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-23709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-25578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-29157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-23709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-18673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-64245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-64245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-29141.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015715-65019.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015715-19213.png)
解析:(1)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015715-21582.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-56704.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015710-82032.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-79362.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-14251.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
所以,
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-37637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
根据
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-26317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-26317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-30765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-87838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015711-85039.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-88937.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-54279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-32279.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-44439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015713-52365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-23709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-25578.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-29157.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015714-23709.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015715-54302.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015716-12234.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015716-18430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015716-33631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015716-56927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015716-33631.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015716-47841.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015717-52772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015717-53629.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015717-94546.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015717-34805.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015718-32991.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-47988.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015718-98797.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015718-19845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015718-60629.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015719-46785.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015719-36162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015719-81394.png)
分别在
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015719-34623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015719-25100.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015720-35674.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015720-56903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015720-59539.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015720-78039.png)
即
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015720-70612.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015720-70612.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015721-75117.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015721-97197.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015721-79285.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015721-39363.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015715-65019.png)
由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015715-19213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015712-30765.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015722-62216.png)
所以当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015722-88499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015722-50946.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015722-16518.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015722-90733.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015723-59377.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015723-40150.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015659-57640.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015700-31583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015700-53289.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015701-87347.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015701-64689.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015645-67737.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015645-97703.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015645-55010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015646-53014.png)
(2)若函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015645-55010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015646-38453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015646-91881.png)
(3)若对任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015646-51137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015646-31091.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015647-52438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015646-53014.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015639-53671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015639-82169.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015633-46138.png)
A.8米/秒 | B.7米/秒 | C.6米/秒 | D.5米/秒 |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015625-17824.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018015625-55866.png)
A.![]() | B.![]() | C.![]() | D.无法确定 |
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