2015年沈阳中考数学压轴题有两问要求直接写出答案,似乎简单,实则不易.文中就此提出问题、探究问题、并应用拓展,从中尝试揭示解决此类问题的方法、规律,即由一题到一类.其间既有严谨的探究推导,又有着优美的方法、结论,从而高质量解决了原题.整个探究过程很自然,对启发学生认识探究,锤炼思维、开阔视野、提出问题和解决问题,提高推理论证能力大有裨益. There are two questions asked in Shenyang senior high school entrance examination mathematics Finale asked directly to write the answer, it seems simple, but not easy .Therefore, the paper put forward the question, explore the problem, and the application of expansion, from which try to reveal the solution to such problems, To a category.While both the rigorous exploration and derivation, but also has a beautiful method, conclusion, so that the high quality to solve the original problem.The whole process of inquiry is very natural, to inspire students to explore, exercise their thinking, broaden their horizons, ask questions and solve Problem, improve the ability of reasoning argumentation greatly benefit.