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有一类需要添加辅助线的中考题,让许多学生束手无策.为此,笔者对这类问题进行了系统深入的研究,发现其辅助线的产生是有规律可循的,而且可以找到作辅助线的一般方法.下面,笔者和大家一起分享三次遇到这类题型的探索过程,希望能给大家带来一些启发和收获!一、第一次一筹莫展例1(2012岳阳改编)(1)如图1,D是等边ABC边BA上一动点(点D与点A、B不重合),连结DC,以DC为边在BC上方作等边DCE,连结AE.求证:∠B=∠EAC.
There is a need to add auxiliary line test questions, so many students do nothing.For this reason, I conducted a systematic and in-depth study of such issues and found that the auxiliary line is a regular follow-up, and can be found as a supporting line General method below, I share with you three times to encounter such questions of the exploration process, I hope to give you some inspiration and harvest! First, do nothing for Example 1 (2012 Yueyang adapted) (1) As shown 1, D is the equilateral ABC side of the BA moving point (point D and point A, B do not coincide), the link DC, with DC as the edge in the BC for equilateral DCE, link AE. Prove: ∠ B = ∠ EAC.