Cho 2 duong thang AB cat boi duong thang c tai A va B . Cho biet tong 2 goc trong cung phia bu nhau voi 1 goc sole trong voi 1 trong 2 goc nay bang 300 do va trong 2 goc ke bu co 1 goc nay gap doi goc kia . Hai duong thang A va B co song song voi nhau khong vi sao
tam giac ABC co tia phan giac cua goc B cat AC o D qua A ke duong thang song song voi BD duong thang nay cat duong thang BC o E hay chung to rang goc BAE=goc BEA
CO AI GIAI NHANH HO MINH VOI
Cho biet tu diem A thuoc tia phan giac cua goc xoy co mu nha! ve duong thang song song voi Ox cat Oy tai B va ve duong thang song song voi Oy tai C a)chung minh BOA=AOC ,b) chung minh AO la tia phan giac cua BAC
Cho ∆ ABC can tai A. Cac tia phan giac cua goc B va goc C cat nhau tai O. Qua A ke duong thang D song song voi BC. Tia BO cat AC va D lan luot tai M va D. Tia CO cat AB va D lan luot tai N va E.
a, c/m ∆ACN =∆ABM
b, c/m A la trung diem cua doan thang BE
c , c/m ba duong thang AO , CE , CD cung di qua mot diem
Cho ∆ ABC can tai A. Cac tia phan giac cua goc B va goc C cat nhau tai O. Qua A ke duong thang D song song voi BC. Tia BO cat AC va D lan luot tai M va D. Tia CO cat AB va D lan luot tai N va E.
a, c/m ∆ACN =∆ABM
b, c/m A la trung diem cua doan thang BE
c , c/m ba duong thang AO , CE , CD cung di qua mot diem
Cho 1 duong thang cat 2 duong thang song song,Hay chung minh rang:
a,Cac tia phan giac cua 1 cap goc so le (hoac so le ngoai thi song song voi nhau
b,Cac tia phan giac cua 1 cap goc dong vi thi song song voi nhau.
c,Cac tia phan giac cua 1 cap goc trong cung phia(hoac ngoai cung phia) thi vuong goc voi nhau.
a) duong thang c co vuong goc voi duong thang b ko vi sao
b)cho doan thang d cat 2 duong thang a va b tai A va B cho niet goc A1= 115do . Tinh so do cac goc B2,B3,A3
c)goi AX va By lan luot la tia phan giac cua cac goc A1 va B CHUNG MINH Ax song song By
cho tam giac ABC co tia phan giac AD.Qua D ke duong thang song song voi AB cat AC o E.Qua E ke duong thang song song voi AB cat AC o K.Chung minh rang; a) tam giac AED can
b)BK + DE > AD
Cho tam giac ABC ( AB<AC). Goi M la trung diem cua BC, duong thang qua M vuong goc voi tia phan giac goc BAC cat AB o D va cat AC o E. Duong thang qua B song song voi AC cat DE o F
chung minh rang:
a, chung minh tam giac ADE va tam giac BDF can
b, chung minh M la trung diem cua EF
c, chung minh AC-AB=2BD