本文采用一种全新的非线性方程组求解方法—“延拓法”对平面四杆机构轨迹精确点综合问题进行了深入的研究，首先简要阐述了延拓法，以复数法和标准双失组建立了四杆机构五精确点轨迹综合方程，导出了延拓法可解的多项式方程组，详细论述了方程组的求解过程并给出了实例及其部分计算结果． In this paper, a new nonlinear equations solving method - “extension method” on plane four-bar mechanism trajectory precise point synthesis conducted in-depth study, first of all, a brief description of the continuation method, the complex method and the standard double-lost group A five-point trajectory comprehensive equation of four-bar mechanism is established. The polynomial equations which can be solved by continuation method are derived. The solving process of the system of equations is discussed in detail and the examples and some results are given.