Question

在3点与5点之间有几次时针与分针夹角成60度的角

Answer 1

(3*5-60*(60/360))/(1-5/60)
=(15-10)/(1-1/12)
=5/(11/12)
=5*(12/11)
=60/11
=5又(5/11)分
(3*5+60*(60/360))/(1-5/60)
=(15+10)/(1-1/12)
=25/(11/12)
=25*(12/11)
=300/11
=27又(3/11)分
(4*5-60*(60/360))/(1-5/60)
=(20-10)/(1-1/12)
=10/(11/12)
=10*(12/11)
=120/11
=10又(10/11)分
(4*5+60*(60/360))/(1-5/60)
=(20+10)/(1-1/12)
=30/(11/12)
=30*(12/11)
=360/11
=32又(8/11)分
钟面上从3点到5点有四次时针与分针成60度,时间分别是：3点5又(5/11)分；3点27又(3/11)分；4点10又(10/11)分；4点32又(8/11)分.