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线段、角的计算、证明基本都是利用三角形全等,相似,直角三角形性质以及勾股定理、三角函数等知识点进行考察的.在四边形中求线段长度的问题.这些问题一般都是要靠做出精妙的辅助线来解决.辅助线的总体思路就是将四边形拆分或者填充成矩形+三角形的组合,从而达到利用已知求未知的目的.在涉及到角度的计算证明问题时,一般情况下都是要将已知角度通过平行,垂直等关系过渡给未知角度.所以,构建辅助线一般也是从这个思路出发,利用一些特殊图形中的特殊角关系以及借助特殊角的三角函数来达到求解的目的.下面借助例题进行分析,供大家参考.
The calculation of line segments and angles basically proves that the basic problems are the length of line segments in the quadrilateral using the knowledge of triangle congruent, similarity, right triangle, pythagorean theorem, trigonometric function etc. These problems usually depend on Make exquisite auxiliary line to solve.Auxiliary line general idea is to quadrilateral split or fill into a combination of rectangular + triangle, so as to achieve the purpose of using known unknown.When it comes to the calculation of the angle to prove the problem, the general situation Under the transition from the known angle to the unknown angle through the relationship of parallel, vertical, etc. Therefore, the construction of auxiliary line is generally based on this idea, the use of special graphics in a special relationship between the angle and the triangular function with a special angle to solve The purpose of using the following example analysis, for your reference.