(1)∵AB是直径,∴∠ACB=90°,由勾股定理得:BC= 102?82 =6,∵OE⊥AC,∠ACB=90°,∴OE∥BC,∵AO=BO,∴AE=CE,∴OE= 1 2 BC= 1 2 ×6=3.(2)∵∠ADC=∠B,∴tan∠ADC=tan∠B= AC BC = 8 6 = 4 3 .