Qua D va O ke ON //BC
DM//BC (MN thuoc AC )
Do tam giac ABC can nen tam giac AMD can
=> AM = AD , AM = CE (1)
Mat khac IN // BC nen IN // MD
Xet tam giac EMD co
I la trung diem
IN // MD nen N la trung diem cua ME (2)
Tu (1),(2) => I la trung diem cua AC
xet tam giac ACK co
N la trung diem cua AC
NI // CK
=> iI la trung diem cua AK (dpcm)