题干

已知,在正方形ABCD中,E是CB延长线上一点,且EB=
1
2
BC,F是AB的中点,请你将F点与图中某一标明字母的点连接成线段,使连成的线段与AE相等.并证明这种相等关系.
上一题 下一题 0.0难度 选择题 更新时间:2019-05-09 07:37:32

答案(点此获取答案解析)

解:如图,连接DF、CF均可得出与AE相等.
证明:∵ABCD为正方形,
∴AD=AB,∠DAF=∠ABE,
∵F为中点,BE=
1
2
BC,
∴AF=BE,
∴△ADF≌△BAF,
∴DF=AE.
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