已知：如图，在△ABC中，AD平分外角∠EAC，∠B=∠C．求证：AD∥BC．

（1 ）已知⊙O的半径为1，AB是⊙O的一条弦，且AB= $\sqrt{3}$ ，则弦AB所对圆周角的度数为60度；

（2 ）已知⊙O的半径为5，圆心O到弦AB的距离为3，则⊙O上到弦AB所在直线的距离为2的点有3个；

（3 ）平分弦的直径垂直于弦；

（4 ）已知点P是线段AB的黄金分割点，若AB=1，AP= $\frac{\sqrt{5}-1}{2}$ ．

把抛物线y=－x²向左平移2个单位，然后向上平移5个单位，则平移后抛物线的解析式为（  ）

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