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(8分)如图,e是矩形abcd中cd边上一点,△bce沿be折叠为△bfe,点f落在ad上. |
(1)
∠abf=90º-∠afb
∠dfe=180º-∠bfe-∠afb=90º-∠afb=∠abf
∠a=∠d=90º
△abf∽△dfe;
(2) sindfe=
, 即
=
ef=3de
ab=cd=de+ec=de+ef=4de
df=
△abf∽△dfe;
=
即 fb=
=
=3
de
fb=bc ef=ec
tan
ebc=
=
=
=
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