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在几何证明或求解中,作辅助线足常有的事,正确的辅助线可以使问题变得简单,思维变得顺畅.如何捕捉作辅助线的线索呢?仔细研究题日的已知、未知及图形的特征,对作辅助线大有裨益.本文着重以“三角形”的一些例子加以剖析.一、从图形入手,完备证明所需要的“形”例1如图1,AB=AE,BC=ED,∠B=∠E.求证:∠C=∠D.部析根据已知及求证的内容,需要通过证明三角形全等来解决问题.
In the geometrical proof or solution, the auxiliary line is often enough, and the correct auxiliary line can make the problem simple and the thinking becomes smooth. How to capture the clues for the auxiliary line? Known and unknown of the careful study date And the characteristics of the graphs are of great benefit for the auxiliary lines. This article focuses on the analysis of some examples of the “triangles”. First, starting from the graphs, the “shape” required for complete verification is shown in Fig. 1, AB. =AE, BC=ED, ∠B=∠E. Proof: ∠C=∠D. Partial analysis Based on the known and proven content, it is necessary to solve the problem by certifying the triangle congruence.