图1是某种称为“凹槽”的机械部件的示意图,图2是凹槽的横截面(阴影部分)示意图,其中四边形ABCD是矩形,弧CmD是半圆,凹槽的横截面的周长为4.已知凹槽的强度与横截面的面积成正比,比例系数为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183115792032694/SYS201310241831157920326019_ST/0.png)
,设AB=2x,BC=y.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024183115792032694/SYS201310241831157920326019_ST/images1.png)
(1)写出y关于x函数表达式,并指出x的取值范围;
(2)求当x取何值时,凹槽的强度最大.
考点分析:
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