题目

阅读理解Wearing a caveman mask, Dr. John Marzluff walks across the campusat the University of Washington in Seattle. Crows (乌鸦) circle and squawk (尖叫),diving at him and away.Beneath the mask, he smiles. Days before, he and his students,wearing caveman masks, trapped them and placed colored plastic bands on theirlegs. Then they released the unhappy birds. When the researchers wanderedaround campus without the masks, the crows they had caught and banded did notreact to them. But when the same humans walked by while wearing the masks, thecrows scolded loudly and dived at their enemies如图（1），矩形ABCD的一边BC在直角坐标系中x轴上，折叠边AD，使点D落在x轴上点F处，折痕为AE，已知AB=8，AD=10，并设点B坐标为（m，0），其中m＞0．（1）求点E、F的坐标（用含m的式子表示）；（2）连接OA，若△OAF是等腰三角形，求m的值；（3）如图（2），设抛物线y=a（x-m-6）2+h经过A、E两点，其顶点为M，连接AM，若∠OAM=90°，求a、h、m的值．