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众所周知,在解决梯形问题时,辅助线的作法恰当与否,往往决定解题的成败,而平移对角线则是诸多辅助线作法中较为常见的一种方法,通过平移对角线将梯形问题转化为平行四边形、等腰三角形、直角三角形、等腰直角三角形等,其目的在于将分散的条件与结论集中到一个三角形中,从而利用上述图形的性质来解决,本文就几种情况下平移对角线的方法、举例剖析如下,供读者参考.
As we all know, when solving the trapezoidal problem, whether the auxiliary line method is appropriate or not, often determines the success or failure of the problem solving. The translational diagonal line is a common method in many auxiliary line methods. By translating the diagonal line, the trapezoidal problem is solved. Convert to parallelograms, isosceles triangles, right-angled triangles, isosceles right-angled triangles, etc. The purpose is to concentrate the conditions and conclusions of the dispersion into a triangle, so that the nature of the above figure is used to solve the problem. The method of corner line, example analysis is as follows, for readers’ reference.