题目如图,已知AB=DEAB=DEAB=DE,BC=EFBC=EFBC=EF,AF=DCAF=DCAF=DC,则∠B=∠E\angle B=\angle E∠B=∠E,请说明理由(填空)解:AC=AF−CFAC=AF-CFAC=AF−CF,DF=DC−CFDF=DC-CFDF=DC−CF∵AF=DC(已知)\because AF=DC(已知)∵AF=DC(已知)∴AF−CF=DC−______\therefore AF-CF=DC-\_\_\_\_\_\_∴AF−CF=DC−______,即AC=DFAC=DFAC=DF在△ABC\triangle ABC△ABC和△DEF\triangle DEF△DEF中,AC=DFAC=DFAC=DFBC=______(已知)BC=\_\_\_\_\_\_(已知)BC=______(已知)AB=______(______)AB=\_\_\_\_\_\_\left(\_\_\_\_\_\_\right)AB=______(______)∴△ABC\therefore \triangle ABC∴△ABC≌△DEF______\triangle DEF\_\_\_\_\_\_△DEF______∴∠B=∠E______\therefore \angle B=\angle E\_\_\_\_\_\_∴∠B=∠E______.知识点:全等三角形的判定与性质章节:图形的性质 / 三角形