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如图,点E、F分别在AB、CD上,
AE
EB
=
DF
FC
,求证:

(1)
AB
EB
=
DC
FC

(2)
AB
AE
=
DC
DF
人气:225 ℃ 时间:2019-08-26 05:57:54
解答
证明:(1)∵
AE
EB
=
DF
FC

AE
EB
+1=
DF
FC
+1,
AB
EB
=
DC
FC

(2)∵
AE
EB
=
DF
FC

EB
AE
=
FC
DF

EB
AE
+1=
FC
DF
+1,
EB+AE
AE
=
FC+DF
DF

AB
AE
=
DC
DF
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