线段积比关系的证明是平面几何中的常见题型,但有些要证明的积比关系的所有线段都在同一条直线上,这就给证明带来困难.如果我们在解题分析中,能灵活地运用等线段代换、等线段积代换、中间比代换等技巧,这类问题就不难解决.下面举例说明. The proof of the line-segment product-to-product relationship is a common problem in plane geometry, but some of the line segments of the product-to-product ratio relationship to be proved are on the same line, which makes it difficult to prove. If we analyze the problem, we can It is not difficult to solve such problems flexibly by using techniques such as substitution of line segments, equal line segment substitution, intermediate ratio substitution, etc. The following examples illustrate.