题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024947-13827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-14398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-64736.png)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-37077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-23249.png)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-53138.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-93958.png)
(3)记
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-42907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-98973.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-65339.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024950-14815.png)
解析
试题分析:(1)由函数
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024947-13827.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024950-15759.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-37077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024950-42781.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024950-98691.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-93958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-63394.png)
(3)由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-42907.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-48551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-93958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-15368.png)
试题解析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024947-13827.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-78079.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-37077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-15753.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024952-67276.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-37077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024952-67276.png)
(2)∵
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024948-77673.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024952-10141.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024952-74895.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-53138.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024952-78509.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-53138.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-63394.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024952-75473.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024953-73272.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024953-10549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024953-16680.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024949-93958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024950-14815.png)
(3) 解法1:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024951-48551.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024953-17120.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024954-56705.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024954-71659.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024954-20948.png)
令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024954-61103.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024954-36395.png)
显然
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024955-48025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024955-38776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024955-49644.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024955-91164.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024956-32735.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024956-82551.png)
解法2:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024956-90137.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024956-88074.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024956-87366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-95896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-30855.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-86058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-59291.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-95896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-69406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-91426.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-37371.png)
∴直线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-75160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-95896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-58703.png)
(另解:令
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-37512.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024959-50055.png)
可得
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024959-37213.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024955-38776.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024955-49644.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024959-12986.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024959-23327.png)
直线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-75160.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-95896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024958-58703.png)
点(1,0)到直线
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024957-86058.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025000-37762.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018025000-19666.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024937-96809.png)
(1)若关于x的不等式
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024937-41871.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024938-56902.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024938-82858.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024938-32096.png)
(3)证明不等式:
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024938-83545.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024938-46274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024933-49379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024930-42541.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024923-58766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024924-38212.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024924-60989.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024915-79434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024915-79434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-22756.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-25322.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-21446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-63883.png)
(1)设运送这车水果的费用为
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-41789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-41789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191018/20191018024916-21446.png)
(2)卡车该以怎样的速度行驶,才能使运送这车水果的费用最少?
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