In the article a developed technology is given of computer synthesis of biomechanicalsystems movements by the visual notion of coaches and athletes on the spatial form of the studied motor action and its technicalbasis, which allows one objectively evaluate the level of formation of the visual notion of the student on the rational kinematic structureof a competitive exercise. The formation of motor representations involves several steps related in particular to the objective of thebiomechanical nature of the exercise and being a specific technology. Motor notions of athletes about an exercise form mainly on thebasis of the semantic notion of the technical, systemic and structural, parametric properties of the motion and, in particular, are createdby the visual notion of the kinematics of the performers body parts. Marker points of the trajectory of a biomechanical system, in thiscase, may be the basic positions of a competitor in limits, determining the boundaries of the phase structure of the exercise, or extremesof executive functions. The trainee using the computer determines the required body parts of an athlete in the marker points of the Cartesiancoordinate system on the monitor of the computer, in accordance with their ideas about the rational kinematic structure of the exercise,which, in future, allows a computing experiment on the basis of a mathematical model of biomechanical systems movements synthesis.To implement the computing experiments, a mathematical model was created of biomechanical systems movements synthesis.Our model belongs to the subclass of straight multi-link biomechanical systems, and its motion is described by second order differentialequations presented in the form of Lagrange equations of the second kind. In the process of iterative procedures, the computer generatesthe numerical values of the control functions that take the biomechanical system from a given initial phase state at a marker point to thedesired final phase of the next marker point, and synthesizes the transfer. The computer program of simulation of the athletes movementson a computer in solving the problem is implemented on the algorithmic language Visual Basic 6.0. The obtained biomechanicalcharacteristics of the synthesized exercises can objectively compare the level of adequacy and reasonableness of a biomechanical visualnotion about the effectiveness of dealing with the kinematic control program in the studied motor actions and give them a proper assessment.

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