This artic1e gives not on1y the theoretical models of the theoretical computation of the two-dimensional plate projection under the action of a sliding detonation wave (the models are devided into two parts-the projection in vacuum and the projection in air) but also their computation schemes. Author designed the programs in accordance with the difference method of characteristics. Numerical calculations have been carried out on the electronic computer. The calculation results have been compared with the experiment data and empirical formula. Thus，some conclusions are obtained，the main points of them are：①The theoritical models mainly coincide with the practice; ③Concerning the limit velocity of the projected plate，the calculation results obtained in two-dimensional model coincide with the results calculated in one-dimensional model when adiabatic exponent of the detonation product is equal to three; ③With regard to the limit velocity of the projected plate，the theoretical calculation results have showed that the effects of air on the velocity of the projected plate are negligible. For this reason，when the velocity of the projected plate is calculated，the effects of air on it can be ignored. Furthermore，in this article the analyses and the comments on the usual empirical formula and its modification carried out the basis of the calculation results.