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笔者在研究《数学通报》数学问题解答、《数学教学》数学问题与解答栏目时,被它们深深吸引,开阔了视野,促进了教学.发现这些问题新颖、有趣,并富有启发性,但有些问题的求解总感觉很繁琐,笔者尝试着给出它们的简洁易懂的解法.功夫不负有心人,笔者发现了三角形中的一个共点性质,并用它简证了《数学通报》、《数学教学》杂志中的几道数学问题.一、三角形中的一个共点性质性质如图1所示,点P是△ABC内部的任意一点,直线AP、BP、CP分别与BC、CA、AB交于点D、E、F,而EF交
The author was deeply attracted by the study of Mathematical Bulletin maths questions and maths maths questions and answers, which broadened their horizons and promoted teaching. These problems were found to be novel, interesting and enlightening, but some Solving the problem always felt very complicated, the author tried to give them a concise and easy solution.Kung Fu pays off, the author found a triangle in the nature of a total, and use it to conclude the “Mathematics Bulletin,” "Mathematics Teaching First, a triangle in the nature of the nature of a point as shown in Figure 1, point P is any point △ △ ABC, BP, CP, respectively, with the BC, CA, AB to pay Point D, E, F, and EF 交