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如图，已知直线y=- 1 2 x+1交坐标轴于A，B两点，以线段AB为作正方形ABCD，过点A，D，C的抛物线与直线另一个交点为E． （1）请直接写出点C，D的坐标； （2）求抛物线的解析式； （3）若正方形以每秒 5 个单位长度的速度沿射线AB下滑，直至顶点D落在x轴上时停止．设正方形落在x轴下方部分的面积为S，求S关于滑行时间t的函数关系式，并写出相应自变量t的取值范围； （4）在（3）的条件下，抛物线与正方形一起平移，同时停止，求抛物线上C，E两点间的抛物线弧所扫过的面积．
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