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在解决某些平面几何问题时,可先构建平面直角坐标系将欧氏平面内的问题转化为坐标平面内的问题,再利用与坐标相关的方法可巧妙地解,此即所谓的解析法.在许多求解与证明的题目中,其中不乏平面几何的经典问题以及数学竞赛中的热点内容,都可以运用这种解析法,下面结合案例具体分析.1与长度相关的问题例1在等腰直角△ABC中,AB=BC=5,P是
In solving some plane geometry problems, the plane rectangular coordinate system can be firstly constructed to transform the problem in the Euclidean plane into the problem in the coordinate plane, and then the method related to the coordinate can be cleverly used to solve the problem, which is called analytic method. Among the many problems solved and proved, many of them are classical problems of plane geometry and hot topics in mathematics competition, which can be applied to the following analysis of specific cases.1 Length-related problems Example 1 At the isosceles right-angled △ ABC, AB = BC = 5, P is