Tam giác BOD có:
OB<BD+DO
=> OB+OA<BD+DO+OA
=>OB+OA<BD+DA (1)
Tam giác DAC có:
DA<CA+CD
DA+BD<CA+CD+BD
DA+DB<CA+CB (2)
Từ (1) và (2) => OA+OB<AC+BC
cho goc xOy khac ggoc bet . lay diem A,B thuoc tia Ox sao cho OA<OB lay C,D thuoc Oy sao cho OA=OB ,AC=BD.Goi E la giao diem cua AD va BC .chung minh rang :
a AD=BC
b tam giac EAB= tam giac ACD
c OE là phân giác của góc xOy
Cho goc nhon xOy,tren hai tia Ox,Oy lan luot lay 2 diem A va B sao cho OA =OB,tren hai doan thang OA,OB lan luot lay 2 diem C,D sao cho OC=OD (C khac A,D khac O va B)
A) chung minh rang tam giac OAD=tam giac OBC
B) goi I la giao diem cua AD va BC. Chung minh rang IA=IB
Bai 1Cho tam giac ABC can o A tren tia doi AC lay AD=AC
1) tam giac ABD la tam giac gi
2) chung minh goc DBC=go BDC+go DCB
3) tinh goc DBC
Bai 2 Cho goc xOy<90 do,lay A,B thuo Ox(A nam giua O va B),lay C,D thuoc Oy sao cho OA=OC,AB=CD
1) Chung minh tam giac OBD an
2) So sanh AD va BC
3) Goi I la giao diem AD va BC tam giac IBD va tam giac IAC la cac tam giac gi
4)cm tam giac OAI=tam giac OCI
Bai 3 cho tam giac ABC can tai A ,lay diem D thuoc AB.Trn tia doi cua tia CA lay CE=BD,DE cat BC o M
1)Chung minh M la trung diem DE
Bai 4 cho tam giac ABC nhon o A =60 do ,hai duong phan giac BD va CE cat nhau tai Ii
1)Tinh BIC
2)IE la duong phan giac cua tam giac IBC
Chung minh+)tam giac BIE=tam giac BIF
+)tam giac CID=tam giac CIF
Cho tam giac ABC co AB=AC. Ve tia phan giac cua goc A cat BC o D. Goi M la 1 diem nam giua A va D. Chung minh tam giac MBD= tam giac MCD
Cho goc x0y khac goc bet. Lay cac diem A,B thuoc tia Ox sao cho OA<OB, lay C,D thuoc Oy sao cho OA=OC, AB=CD. Goi E la giao diem cua AD va BC
a, C/m AD=BC
b, Tam giac AEB = tam giac CED
c, OE la tia phan giac cua goc xOy
d, Chung minh OE la duong trung truc cua AC
e, Goi M la trung diem cua BD chung minh ba diem O, E, M thang hang
f, C/m AC//BD
Cho tam giac ABC co AB = AC , M,N lan luot la trung diem cua AC , AB
A. Chung minh tam giac ABM = tam giac ACN va tam giac BMC = tam giac CNB
B. Lay diem E,Fsao cho M la trung diem cua BE, N la trung diem cua CF. Chung minh A la trung diem cua EF
C. Chung minh MN song song voi BC va EF
Minh can gap nha trong hom nay
Cam on truoc
Cho goc xOy khac goc bet. Tren tia Ox lay cac diem A,B sao cho OA<OB. Tren tia Oy lay cac diem C,D sao cho OC=OA, OD=OB.a) Chung minh rang AD=BC, b) Goi E la giao diem cua AD va BC.Chung minh rang tam giac AEB=tam giac CED
Cho tam giac ABC can (AB=AC), O la giao diem trung truc 2 canh ben cua tam giac ABC (O nam trong tam giac). Tren tia doi cua cua cac tia AB va CA ta lay hai diem M,N sao cho AM=CN
a) Chung minh goc OAB= goc OCA
b) Chung minh tam giac AOM= tam giac CON
c) Hai trung truc OM;ON cat nhau tai I. Chung mih OI la tia phan giac cua goc MON.
Cho tam giac ABC can (AB=AC), O la giao diem trung truc 2 canh ben cua tam giac ABC (O nam trong tam giac). Tren tia doi cua cac tia AB va CA ta lay hai diem M;N sao cho AM=CN
a) Chung minh goc OAB= goc OCA
b) Chung minh tam giac OAB= tam giac CON
c) Hai trung truc OM; ON cat nhau tai I. Chung mih OI la tia phan giac cua gic MON.
