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许多几何问题,都需要借助辅助线来解决.但是,如何添加辅助线困扰着许多学生.那么,在几何证明中,辅助线的添加是否有迹可循,这值得我们研究与探寻.本文以2015年沈阳市中考第16题为例,谈谈笔者的一点探索与思考.一、试题呈现如图1,正方形ABCD绕点B逆时计旋转30°后,得到正方形BEFG,EF与AD相交于点H,延长DA交GF于点K,若正方形ABCD的边
Many geometric problems need to be solved by using auxiliary lines, however, how to add auxiliary lines is troubling many students.Therefore, it is worth our research and exploration to find out whether auxiliary lines can be added in geometric proof.In this paper, Shenyang City in the first sixteen questions as an example, to talk about the author of a little exploration and thinking.Examples presented in Figure 1, the square ABCD around B counterclockwise rotation 30 °, get the square BEFG, EF and AD intersect at the point H, extend the intersection of DA and GF at point K, if the side of the square ABCD