∵在矩形ABCD中,AB= 3 ,AD=1,∴tan∠CAB= 1 3 = 3 3 ,AB=CD= 3 ,AD=BC=1,∴∠CAB=30°,∴∠BAB′=30°,∴S△AB′C′= 1 2 ×1× 3 = 3 2 ,S扇形BAB′= 30π×( 3 )2 360 = π 4 ,