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立体几何题常有多种解法,而各种解法繁简不同,因此,研究简化解法是非常必要的。立体几何题的简化解法一般带有几何的特点和代数的特点,前者体现在恰当地选择几何体的位置,施行某些辅助作图与正确地利用几何定理和性质;后者表现为恰当地选择未知量,引入辅助量与合理地施行恒等变换等。
Three-dimensional geometric problems often have multiple solutions, and various solutions are different. Therefore, it is necessary to study the simplification of the solution. The simplified solution of a three-dimensional geometric problem generally has the characteristics of geometry and the characteristics of algebra. The former is reflected in the proper selection of geometric positions, the implementation of some auxiliary mapping and the correct use of geometric theorems and properties; the latter appears to be the appropriate choice of unknown Quantity, the introduction of auxiliary quantities and reasonable implementation of constant transformation.