来自孔贵芹的问题
如图,BD为⊙O的直径,AB=AC,AD交BC于E,AE=2,ED=4.(1)求证:△ABE∽△ADB.(2)求AB长.
如图,BD为⊙O的直径,AB=AC,AD交BC于E,AE=2,ED=4.
(1)求证:△ABE∽△ADB.
(2)求AB长.
1回答
2020-03-08 15:19
如图,BD为⊙O的直径,AB=AC,AD交BC于E,AE=2,ED=4.(1)求证:△ABE∽△ADB.(2)求AB长.
如图,BD为⊙O的直径,AB=AC,AD交BC于E,AE=2,ED=4.
(1)求证:△ABE∽△ADB.
(2)求AB长.
(1)证明:∵AB=AC,
∴∠ABC=∠C,
∵∠C=∠D,
∴∠ABC=∠D,(2分)
又∵∠BAE=∠DAB,
∴△ABE∽△ADB;
(2)∵△ABE∽△ADB,
∴ABAD