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  • 1 # 使用者674626316078

    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

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