新课标越来越重视运用数学的思维方式去观察、分析现实社会,解决日常生活中和其他学科的问题,增强应用数学的意识。现以2005年中考题为例,探讨解题思路与方法。一、分解因式例1:已知,如下图,现有a×a、b×b的正方形纸片和a×b的矩形纸片各若干块,试选用这些纸片(每种纸片至少用 The new curriculum more and more emphasis on the use of mathematical thinking to observe and analyze the reality of society, to solve problems in daily life and other disciplines, and enhance the awareness of applied mathematics. Now take the 2005 senior high school entrance examination questions as an example to explore the problem-solving ideas and methods. First, the decomposition factor Example 1: Known, as shown below, the existing a × a, b × b square pieces of paper and a × b rectangular pieces of each piece of paper, try to use these pieces of paper (each piece of paper at least use