PARYSHEV's sliding force model is often cited in many papers studying supercavitation at home and abroad，but there are two phenomena when quoting. One is that although the quoted model is basically the same in mathematical form，there are variations in details，some of which are mathematical expressions with wrong symbols，and they are also mistaken for a new model. The other is that the mathematical form of the PARYSHEV's model only includes parameters of the final section of vehicle tail，so it is mistaken that the PARYSHEV's model only studies the force of the tail section and does not consider the force of all the wet surface. Obviously，if studies on trajectory，stability and control methods are carried out on the basis of the "misunderstanding" of PARYSHEV's model，it is possible to include "new discoveries" derived from the "misunderstanding"，leading to the trouble in the study of supercavitation. In order to clarify the key points and physical significance of PARYSHEV's model，the research ideas of PARYSHEV and other researchers are reviewed here. The analytical expression of the steady gliding force is derived in a simple way that is easy to understand，and the modification of the water splash is given directly. Finally，the improvement direction of the model is pointed out.
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