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证明线段的和差关系主要是证明一条线段等于另外两条线段的和或差．竟是初二几何证明题的一种重要题型．证明这类命题的基本思路有三条：1．利用梯形中位残定理．2．利用转化的思想方法．由于可供应用的定理只有一个．即梯形中住线定理．因此证明这类命题的主要思想方法是转化
The proof of the difference between the line segments is mainly to prove that one line segment is equal to the sum or difference of the other two line segments. 2. It is an important question type of geometry proof in the second grade. There are three basic ideas for proving these propositions: 1. Using the trapezoidal middle position theorem. 2. Use the idea of transformation. There is only one theorem available for application. Trapezoid mean line theorem. Therefore, the main way of thinking to prove such propositions is to translate