分针每分钟走360/60=6°
时针每分钟走(360/60)/12=0.5°
4点整时分针与时针的夹角为120°,设x分钟后它们夹角为60°,可得:
(1) 120+0.5x-6x=60
解得x=120/11 =10.9
(2) 6x-120-0.5x=60
解得x=360/11 =32.7
答:大约4点11分时,或4点33分时分针与时针的夹角为60°
分针每分钟走360/60=6°
时针每分钟走(360/60)/12=0.5°
4点整时分针与时针的夹角为120°,设x分钟后它们夹角为60°,可得:
(1) 120+0.5x-6x=60
解得x=120/11 =10.9
(2) 6x-120-0.5x=60
解得x=360/11 =32.7
答:大约4点11分时,或4点33分时分针与时针的夹角为60°