第五章相交线与平行线,专题训练(一)平行线的判定与性质,1如图,A,B,C三点在同一直线上,12,3D.试说明:BDCE. 证明:12,ADBE,DDBE, 又3D,3DBE,BDCE,2如图,ABCD,AE平分BAD,CD与AE相交于点F,CFEE.求证:ADBC. 证明:ABCD,1CFE. AE平分BAD,12. CFEE,2E,ADBC,3如图,12,AF,试说明为什么CD. 解:12,13,23, BFAE,FAED, 又AF,AAED,ACDF,CD,4如图,已知ABC180A,BDCD于点D,EFCD于点F. (1)求证:ADBC; (2)若136,求2的度数 解:(1)ABC180A,AABC180,ADBC (2)ADBC,3136. BDCD,EFCD, BDEF,2336,5如图,ADEB,CDAB,FGAB. (1)证明:12; (2)若CD平分ACB且DEC150,求2的度数 解:(1)ADEB,DEBC, 13,CDAB,FGAB,CDFG, 23,12,6如图,已知ADBC,E,F分别在DC,AB的延长线上,BCDBAD,AEEF,AED30. (1)求证