初中数学八年级上册试题库（555题）

---

如图，△ABC是等边三角形，AE=BD，AD与CE交于点F。求∠CFD的度数。

知识点：第十三章　轴对称

参考答案：\(\because \Delta ABC\)是等边三角形\(\therefore AB = CA\)，\(\angle B = \angle CAB = 60^\circ \)\(\therefore \Delta ABD \cong \Delta CAE\)\(\therefore \angle BAD = \angle ACE\)\(\because \angle BAD + \angle DAC = \angle BAC = 60^\circ \)\(\therefore \angle ACE + \angle DAC = 60^\circ \)\(\because \angle DFC = \angle ACE + \angle DAC\)\(\therefore \angle DFC = 60^\circ \)。