(1)设圆O方程为x2+y2=r2.圆C:(x+3)2+(y-4)2=4,r=|OC|-2= (?3)2+42 ?2=3,所以圆O方程为x2+y2=9.(2)O到直线x+2y-3=0的距离为d= 3 1+4 = 3 5 5 ,故弦长l=2 r2?d2 =2 9? 9 5 = 12 5 5 .