In order to clarify the misunderstandings of Compton scattering process and increase the intuitive understanding of it,the differences and similarities between the photoelectric effect and the Compton scattering experiment is first analyzed,then the theory of Compton collision is derived in detail,and the Compton scattering is simulated based on MATLAB.The study results show that:with the increase of scattering angle,the growth rate of Compton scattering wavelength change and the growth rate of recoil electron's energy and momentum both show an upward trend.However,compared with the growth rate of energy,the growth rate of recoil electron's momentum is more significant and dramatic in the aspect of angle change.At a given scattering angle,the growth rate of recoil electron's momentum and energy will also increase with the decrease of incident light wavelength.Finally,the physical significance of Compton scattering is discussed.