题目如图1,等腰△ABC中,顶角∠A=100°,∠B的平分线交AC于点E,求证:AE+BE=BC.该题为《中学生数学》2011年7月(下)课外练习初二年级的第1题.贵刊2012年3月(下)“两道课外练习题的另证”一文给出了别于供题者的一个另证,阅后受益匪浅.此题条件清晰,结论简明,能较好地考查学生驾驭所学几何知识的应用能力.下面将多方探析其新证(所用知识不超出初二范围),供读者参考.分析如图,以 Subjects shown in Figure 1, the isosceles △ ABC, the top corner ∠ A = 100 °, ∠ B bisect AC to point E, verify: AE + BE = BC. ) Extracurricular practice the first two grades of the first question.Expensive March 2012 (below) “two extracurricular exercise questions of the other card ” a text is given in addition to the subject for a second card, benefit after reading The problem is clear, the conclusion is concise, can better examine the students ability to master the application of the knowledge of the geometry of the following multi-exploration of its new card (the knowledge used is not beyond the scope of the second day) for readers reference. To