初等数学研究途径:结构是基础 转化是关键——2012年高考数学北京理科第19题再探究

A Study Method of Elementary Mathematics: Basic Structure is the Base While Transformation is the Key: with Special Reference to the 19^(th) Mathematics Problem in the 2012-year College Entrance Examination in Beijing

对2012年高考数学北京理科第19题,利用蝴蝶定理研究其解法,给出考题的新解法,揭示考题与蝴蝶定理的内在关系,并给出考题的推广.

The 19^th mathematics problem in 2012-year college entrance examination in Beijing is studied under the Butterfly Theorem and a solution is given with the new method. The interrelation between test questions and the Butterfly Theorem is revealed, and the questions are spread.