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1问题与研究概况笔者在教学过程中一直有个疑问:三角形三边所在直线的斜率存在整体关系吗?正三角形呢?多边形呢?正多边形呢?探索了多年,由于没有一个有力的探索工具而作罢。2007年笔者探索到两条相交直线的轴对称命题~([1]),用其分别得到了等边三角形和等腰三角形三边的一个优美的斜率关系。同时也运用旧教材~([2])中的到角公式进行探索,此公式在新课标教
1 Problem and Research Overview The author has always had a question in the teaching process: Is there any relationship between the slope of the line where the three sides of the triangle are located? What are the regular triangles, the polygons, the regular polygons, the exploration of the polygons for many years? Without a powerful exploration tool Give up. In 2007, the author explored the axisymmetric proposition of two intersecting lines ~ ([1]), and obtained a graceful slope relationship between the equilateral triangle and the isosceles triangle respectively. Also use the old teaching materials ~ ([2]) to explore the angle formula, the formula in the new curriculum teaching