本文采用复数形式对一维谐振子系统的运动方程进行了全面求解.采用复数与微积分结合的方法，本工作开展了对大学物理教材中的一维简谐振子模型求解方法的研究，针对不同阻尼及驱动力条件下的运动方程形成了统一的求解方法.此外，本文的方法还适用于非周期性外界驱动力作用下的一维阻尼振子的运动方程求解.

In this paper，the equations of motion of a onedimensional harmonic resonator system are fully solved using the complex number form. Based on the method of combining complex numbers with ordinary calculus，this work carries out the research on the solution methods of 1D simple harmonic oscillator models in university physics textbooks，and forms a unified solution method for the equations of motion under different damping and driving force conditions. In addition，the method of this paper is also applicable to the solution of the equations of motion of onedimensional damped oscillators under the action of nonperiodic external driving force.