求证几何证明的方法繁简各异,借助面积知识证明几何问题,不仅解题思路新颖、巧妙,更重要的是过程简单,运算量小.本文通过举例说明面积法在几何证明中的巧妙运用.一、利用面积相等关系,证明角相等例1如图1,在平行四边形ABCD中,AE、CF相交于G,且AE=CF,求证:GB为∠AGC的平分线. There are many ways to prove the geometric proof, and the geometrical problems are proved by the knowledge of the area, which not only has a novel and clever way to solve the problem but also has the advantages of simple procedure and small amount of computation. This article illustrates the ingenious application of the area method in geometric proof. First, the use of equal area relationship to prove the same angle Example 1 Figure 1, in the parallelogram ABCD, AE, CF intersect at G, and AE = CF, verify: GB is 平 AGC bisector.