在正方形ABCD中,点P在CD上,连接PA,分别过点B、D作BE⊥PA、DF⊥PA,垂足分别为E、F(1)求证BE=DF+EF(2)当点P在CD的延长线上时,其他条件不变,试探索BE,DF,EF之间有怎样的数量关系,且证明
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在正方形ABCD中,点P在CD上,连接PA,分别过点B、D作BE⊥PA、DF⊥PA,垂足分别为E、F(1)求证BE=DF+EF(2)当点P在CD的延长线上时,其他条件不变,试探索BE,DF,EF之间有怎样的数量关系,且证明
在正方形ABCD中,点P在CD上,连接PA,分别过点B、D作BE⊥PA、DF⊥PA,垂足分别为E、F
(1)求证BE=DF+EF
(2)当点P在CD的延长线上时,其他条件不变,试探索BE,DF,EF之间有怎样的数量关系,且证明
在正方形ABCD中,点P在CD上,连接PA,分别过点B、D作BE⊥PA、DF⊥PA,垂足分别为E、F(1)求证BE=DF+EF(2)当点P在CD的延长线上时,其他条件不变,试探索BE,DF,EF之间有怎样的数量关系,且证明
(1)∵正方形ABCD∴AB=AD,角BAD=90°∵BE⊥PA∴角BAE=90°∵DF⊥PA∴角AFD=90°∴角BAE=角AFD∵角BAD=90°∴角BAE+角FAD=90°∵在△ABE中,BAE=90°∴角abe+角bae=90°∴角abe=角FAD然后证abe和dae全等,再然后你应该会了 (2)ef=be+df,先证全等就行了
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