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匀速圆周运动的多解问题常涉及两个物体的两种不同的运动,其一做匀速圆周运动,另一个物体做其他形式的运动.由于这两种运动是同时进行的,因此,依据等时性建立等式求解待求量是解答此类问题的基本思路.特别需要提醒同学们注意的是,因匀速圆周运动具有周期性,使得前一个周期中发生的事件在后一个周期中同样可能发生,这就要求我们在表达做匀速圆周运动物体的运动时间时,必须把各种可能都考虑进去,以下几例运算结果中的自然数“n”正是这一考虑的数学外化.
The multi-solution problem of uniform circular motion often involves two different motions of two objects, one for uniform circular motion and the other for other forms of motion. Since these two types of motion are performed at the same time, they are based on isochronism. The establishment of equations to solve the demand is the basic idea for solving such problems. It is particularly necessary to remind the students that due to the periodicity of the uniform circular motion, the events occurring in the previous cycle may also occur in the latter cycle. This requires that we must take into account various possibilities when we express the motion time of a uniform circular motion object. The natural number “n” in the following examples is the mathematical externalization of this consideration.