每個小時都有相互垂直的時候。
以12點為起點,此時時針分針位於同一位置,用分做單位。
時針旋轉速度=360/(12×60)=6°/12=(1/2)°/分
分針的速度=360/60=6°/分
t(分)時刻,時針轉過的角度=(t/2)°
分針轉過的角度=(6t)°
兩者角度差
y=(6t)°-(t/2)°=5.5t(°)
相互垂直:5.5t=(2k-1)90°
t=k(90/5.5)=(2k-1)(180/11)
2k-1=11t/180
t1=180/11=16.36min=0:16.36
t2=3×180/11=540/11=49.09min=0:49.09
t3=5×180/11=81.82min=1:21.82
t4=7×180/11=114.55min=1:54.55
t5=9×180/11=147.27min=2:27.27
t6=11×180/11=180min=3:00
t7=13×180/11=212.73min=3:32.73
t8=15×180/11=245.45min=4:05.45
t9=17×180/11=278.18=4:38.18
t10=19×180/11=310.091min=5:10.91
t11=21×180/11=343.64min=5:43.64
t12=23×180/11=376.36min=6:16.36
t13=25×180/11=409.09min=6:49.09
t14=27×180/11=441.82min=7:21.82
t15=29×180/11=474.55min=7:54.55
t16=31×180/11=507.27min=8:27.27
t17=33×180/11=540min=9:00
t18=35×180/11=572.73min=9:32.73
t19=37×180/11=605.45min=10:05.45
t20=39×180/11=638.18min=10:38.18
t21=41×180/11=670.91min=11:10.91
t22=43×180/11=703.64min=11:43.64
每個小時都有相互垂直的時候。
以12點為起點,此時時針分針位於同一位置,用分做單位。
時針旋轉速度=360/(12×60)=6°/12=(1/2)°/分
分針的速度=360/60=6°/分
t(分)時刻,時針轉過的角度=(t/2)°
分針轉過的角度=(6t)°
兩者角度差
y=(6t)°-(t/2)°=5.5t(°)
相互垂直:5.5t=(2k-1)90°
t=k(90/5.5)=(2k-1)(180/11)
2k-1=11t/180
t1=180/11=16.36min=0:16.36
t2=3×180/11=540/11=49.09min=0:49.09
t3=5×180/11=81.82min=1:21.82
t4=7×180/11=114.55min=1:54.55
t5=9×180/11=147.27min=2:27.27
t6=11×180/11=180min=3:00
t7=13×180/11=212.73min=3:32.73
t8=15×180/11=245.45min=4:05.45
t9=17×180/11=278.18=4:38.18
t10=19×180/11=310.091min=5:10.91
t11=21×180/11=343.64min=5:43.64
t12=23×180/11=376.36min=6:16.36
t13=25×180/11=409.09min=6:49.09
t14=27×180/11=441.82min=7:21.82
t15=29×180/11=474.55min=7:54.55
t16=31×180/11=507.27min=8:27.27
t17=33×180/11=540min=9:00
t18=35×180/11=572.73min=9:32.73
t19=37×180/11=605.45min=10:05.45
t20=39×180/11=638.18min=10:38.18
t21=41×180/11=670.91min=11:10.91
t22=43×180/11=703.64min=11:43.64