题目
如图所示,菱形的边长为6厘米,.从初始时刻开始,点、同时从点出发,点以1厘米/秒的速度沿的方向运动,点以2厘米/秒的速度沿的方向运动,当点运动到点时,、两点同时停止运动,设、运动的时间为秒时,与重叠部分的面积为平方厘米(这里规定:点和线段是面积为0的三角形),解答下列问题: (1)点、从出发到相遇所用时间是 秒; (2)点、从开始运动到停止的过程中,当是等边三角形时的值是 秒; (3)当0≤≤6时,求与之间的函数关系式.
答案:(1)6.······················································································································· 3分 (2)8.······················································································································· 3分 (3)①当0时, . ·········································· 3分 ②当3时, =········································································································· 3分