在振动和波的有关问题中经常会出现多解情况,这也是振动和波的内容中的难点。振动中产生多解问题主要是因为振动具有周期性,振动物体达到某一位置可有不同的时刻;而波动中,波形的周期性变化和同相质点振动的一致性是产生多解的主要原因。基于以 In the problems related to vibration and waves, multiple solutions often occur. This is also a difficulty in the content of vibration and waves. The problem of multiple solutions in vibration is mainly due to the periodicity of the vibration, which can have different moments when the vibration object reaches a certain position. In the fluctuations, the periodicity of the waveform and the consistency of the vibration of the homogeneous particles are the main reasons for multiple solutions. Based on