问题
填空题
圆内接正方形ABCD的边长为2,弦AE平分BC边,与BC交于F,则弦AE的长为______.
答案
AB=2,BF=FC=1,
∴AF=
=AB2+BF2
,5
AF•FE=BF•FC,
∴
FE=1,FE=5
,AE=AF+EF=5 5
+5
=5 5
.6 5 5
故答案为:
.6 5 5
圆内接正方形ABCD的边长为2,弦AE平分BC边,与BC交于F,则弦AE的长为______.
AB=2,BF=FC=1,
∴AF=
=AB2+BF2
,5
AF•FE=BF•FC,
∴
FE=1,FE=5
,AE=AF+EF=5 5
+5
=5 5
.6 5 5
故答案为:
.6 5 5