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【简答题】
在矩形ABCD中,AB=6cm,BC=12cm,点P从点A出发,沿AB边B以1cm/秒的速度移动,同时,点Q从点B出发沿BC边C以2cm/秒的速度移动.如果P、Q两点在分别到达B、C两点后就停止移动,回答下列问题: (1)运动开始后第几秒时,△PBQ的面积等于8cm 2 ? (2)设运动开始后第t秒时,五边形APQCD的面积为Scm 2 ,写出S与t的函数关系式,并指出自变量t的取值范围;写出t为何值时,s的值最小. (3)当t= 3 2 时,试判断△DPQ的形状. (4)计算四边形DPBQ的面积,并探索一个与计算结果有关的结论.
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