cho tam giac abc co cac cach khong doi. lay diem d va m tren canh ab sao cho ad = bm. qua d va m ve cac duong thang song song voi bc cat ac lan luot tai e va n. chung minh de+mn khong doi khi d va m di chuyen tren canh ab.
cho tam giac ABC nhon co AB<AC..ve tia AD la phan giac cua goc BAC(D thuocBC),tren canh AC lay diem E sao cho AE=AB
a)chung minh BD=DE
b) duong thang DE va AB cat nhau tai F.chung minh tam giac DBF=tam giacDEC
c)qua C ke tia Cx song song voi AB va cat tia AD tai K;goi I la giao diem cua AK va CF.Chung minh:I la trung diem cua AK
cho tam giac ABC.Trung diem cua cac canh AB,AC lan luot la D,E.Tu C ke duong thang song song voi AB cat duong thang DE tai F.Chung minh e la trung diem cua DF , DE=1/2BC
cho tam giac ABC; D la trung diem cua AB . Duong thang ke qua D va song song voi canh BC cat AC o E ; duong thang ke qua E song song voi AB cat BC o F. CMR:
a) AD=EF
b)BF = FC
c) DE=1/2 BC va EF = 1/2AB
CHo tam giac ABC can tai A. Goi hai diem D va E lan luot la trung diem cua cac canh AB va Ac, hai doan thang Be va Cd cat nhau tai G
a, CM: AD= AE
b, Tren tia doi cua tia DC ta lay diem K sao cho DK= DG. CM: tam giac ADG= tam giac BDK, tu do suy ra AG song song BK
c, CM: BC + AG > 2*DE
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
Cho tam giac ABC bt AB<BC.Tren tia BA lay diem D sao cho BC=BD.Noi C voi D. Phan giac goc B cat canh AC va DC lan luot tai diem E va I.
Chung minh tam giac BED=∆BEC va IC=ID
Tu A ve dg thang vuong goc voi AH voi BC ( H €DC) chung minh AH song song BI
cho tam giac abc goi m la trung diem cua bc. tu a ke ad song song voi bm sao cho ad=bm. d va b nam khac phia so voi canh ab
a, chung minh di=im ( dm cat ab tai i) roi suy ra m,i,d thang hang
b, chung minh bd song song voi am
Cho tam giac ABC co AB=AC. Tren cac canh AB va AC lan luot lay cac diem D va E sao cho AD=AE. Cac doan thang BE va CD cat nhau tai K
a, Chung minh rang tam giac ABE= tam giac ACD
b, Chung minh rang tam giac KDB=tam giac KCE
c, Goi I la trung diem canh BC. Chung minh rang cac diemA,K,I thang hang