题目

全美数学建模赛 2011 赛题
PROBLEM A:Snowboard Course
Determine the shape of a snowboard course (currently known as a “halfpipe”) to maximize the production of “vertical air” by a skilled snowboarder.
"Vertical air" is the maximum vertical distance above the edge of the halfpipe.
Tailor the shape to optimize other possible requirements,such as maximum twist in the air.
What tradeoffs may be required to develop a “practical” course?
PROBLEM B:Repeater Coordination
The VHF radio spectrum involves line-of-sight transmission and reception.This limitation can be overcome by “repeaters,” which pick up weak signals,amplify them,and retransmit them on a different frequency.Thus,using a repeater,low-power users (such as mobile stations) can communicate with one another in situations where direct user-to-user contact would not be possible.However,repeaters can interfere with one another unless they are far enough apart or transmit on sufficiently separated frequencies.
In

提问时间：2021-03-31

答案

Problem A: 滑雪场问题
确定一个滑雪场（目前被称之为“半管状”）的形状来使得一个熟练滑板运动员所能达到的垂直间距最大化.
垂直间距是指距半管状的的边缘间的最大垂直距离.
修改形状以适应其他要求,例如使得运动员的扭转最大化.
要建造一个实用的场地,又该做出何种取舍?