解:(1)如图所示,A′B′C′D′即为所求作的图形;(2)根据勾股定理,OC= 12+22 = 5 ,点C旋转过程中所经过的路径长= 90?π? 5 180 = 5 2 π;(3)由图可知,tan∠DAB′= B′D AB′ = 4 2 =2.