1引言寻找运动变化中的不变量和不变性,是数学研究的旨趣之一。这种思想可以表现为一系列技法,体现数学思想的巨大威力。以面积法为例,面积法具有很多优点,能体现数学研究的旨趣~([1]),然而对它的认识还需要继续深入。对面积法的认识和运用既可着眼于课程结构的整体改造,也可着眼于问题的统一求解。面积三角法成功地重构平面几何,并走进了一线 1 Introduction Searching for invariance and invariance in the changes of the movement is one of the purport of mathematical research. This kind of thinking can be manifested as a series of techniques that embody the great power of mathematical thought. The area method, for example, the area method has many advantages, can reflect the purpose of mathematical research ~ ([1]), but its understanding needs to continue further. The area of ​​awareness and use of the law can focus on the overall reform of the curriculum structure, but also focus on the problem of uniform solution. Area triangulation successfully reconstructed planar geometry, and entered the front line