当几何问题中出现“角平分线”时,我们常常构造全等对称图形来解,而全等对称图形实际上可以看作沿角平分线“折叠”.因此,直接用“折叠法”解决角平分线问题,有时更有效、更简捷.例1如图2,AD为ABC中∠A的平分线,ABAC,P为AD上一点,求分证析:AB-ACPB-PC.题中含有AD为ABC中∠A的 When the “angle bisector” appears in a geometric problem, we often construct an equidistant symmetric figure to solve it, and an equal symmetry figure can actually be regarded as “folding” along an angle bisector. Therefore, the “folding method” is used to solve the angle directly. The bisector problem is sometimes more effective and simpler. Example 1 As shown in Figure 2, AD is the bisector of A in ABC, ABAC, and P are points on AD, and the subdivision analysis: AB-ACPB-PC contains AD For ABC, A