如图 三角形ABC中,角1=角2,且AB=AC+CD,求证角C=2角B

问题描述:

如图 三角形ABC中,角1=角2,且AB=AC+CD,求证角C=2角B

兄弟,图呢..?

来图哈

∠1=∠2是不是就是AD是∠BAC的角平分线啊证明:在AB上取点E,是AC = AE.连结ED∵AE = AC,∠1 = ∠2,AD = AD∴△AED≌△ACD∴CD = ED,∠C = ∠AED∵AB = AC+CD = AE + EB∴CD = BE∴ED = BE∴∠B = ∠EDB∵∠AED = ∠B...