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在几何证题中,若遇有三角形的角平分线、角平分线的垂线或线段的中垂线时,常设法构造等腰三角形,借助等腰三角形的有关性质,往往能够迅速找到解题途径,直观易懂,简捷明快.这样不仅能使问题化难为易,迎刃而解,而且有助于学生创新思维的培养.现仅以三角形中常见的题型为例,说明添作辅助线构造等腰三角形证题的一般方法.
In geometric proofs, if there is a triangle bisector, a perpendicular bisector of a bisector, or a mid-perpendicular to a line, the permanent method constructs an isosceles triangle. With the help of the properties of isosceles triangles, problems can often be quickly found. The approach is intuitive, easy to understand, simple and clear. This will not only make it easier to solve problems, but also help students to cultivate innovative thinking. Now only take the common questions in the triangle as an example to illustrate the use of auxiliary lines to construct an isosceles. The general method of triangle test.