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.