Cho tam giac ABC deu,tren tia doi cua tia CB lay D ve cac tia Cx song song voi AB,Dy song song voi AC,chung cat nhau tai E.Chung minh: a)tam giac CDE deu
b)BE=AD
c) Goi M,N lan luot la trung diem cua BE va AD.Hoi tam giac CMN la tam giac gi?vi sao
Cho tam giac ABC deu,tren tia doi cua tia CB lay D ve cac tia Cx song song voi AB,Dy song song voi AC,chung cat nhau tai E.Chung minh: a)tam giac CDE deu
b)BE=AD
c) Goi M,N lan luot la trung diem cua BE va AD.Hoi tam giac CMN la tam giac gi?vi sao
Cho tam giac ABC deu,tren tia doi cua tia CB lay D ve cac tia Cx song song voi AB,Dy song song voi AC,chung cat nhau tai E.Chung minh: a)tam giac CDE deu
b)BE=AD
c) Goi M,N lan luot la trung diem cua BE va AD.Hoi tam giac CMN la tam giac gi?vi sao
Cho tam giac ABC deu,tren tia doi cua tia CB lay D ve cac tia Cx song song voi AB,Dy song song voi AC,chung cat nhau tai E.Chung minh: a)tam giac CDE deu
b)BE=AD
c) Goi M,N lan luot la trung diem cua BE va AD.Hoi tam giac CMN la tam giac gi?vi sao
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 B=60 tren tia doi BC lay diem E sao cho BE=BA . qua B ve 1 duong thang song song AE cat AC o F a] chung minh BE la phan giac cua goc ABC b] Qua A ve mot duong thang vuong goc BF cat BC tai D .Chung minh tam giac ABC deu c] goi Ax la tia doi cua AB . Chung minh goc CAx =goc CDF d] chung minh AF=FC
Cac ban hay giai cac bai toan sau day:
1. Biet d dai ba canh cua 1 tam giac lan luot ti le voi 3,4,5 va co chu vi bang 96 cm . Tinh do dai 3 canh cua tam giac do.
2. Cho tam giac ABC vuong tai A . Goi M la trunng diem cua AC . Tren tia doi cua tia MB lay diem D sao cho MB = MD
A. Biet ABC =55° . Tinh goc ACB
B . Chung minh tam giac ABM = tam giac CDM
C. Chung minh ABC = CDA
3. Me dua An 2.800.000 de dong tien dien , nuoc , internet lan luot theo ti le 7;5;2 . Ban hay giup An tinh tien dien , nuoc , internet ?.
4. Cho tam giac ABC vuong tai A ( AB < AC ) , goi M la trung dim cua AC . Tren tia doi cua MB lay diem D sao cho MB = MD
A. Chung minh tam giac ABM = tam gac CMD
B. Chung minh DC song song AB
C. Tinh goc CDM
D. Chung minh DC vuong goc voi AC.
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
cac ban oi giup minh voi nhaaaaaaaaaaaaaaa
bai 1 cho goc xoy ve tia phan giac cua goc xoy tren tia ot lay diem m bat ki tren cac tia õ va oy lan luot la lay cac diem a va b sao cho oa =ob goi h l giao diem cua ab va ot . chung minh :
a,ma=mb
b,om la duong trung truc cua ab
c,cho biet ab=6cm oa=5cm tính oh
bai 2 cho tam giac abc co ba goc goc goc nhon duong cao ah vuong goc voi bc tai h tren tia doi cua tia ha lay diem d sao cho ha=hd
cmr:a,bc va cb lan luot la cac tia phangiac cua goc abd va acd
b,ca=cd va bd=ba
c,cho goc acb 45 độ tính góc adc
d, duong cao ah phai them điều kiện gi thi ab song song cd
bai 3 cho tam giac abc co ab =ac ke bd vuong goc ac ce vuong goc ab goi o la giao diem cua bd va ce cmrang
a,bd=ce
b,tam giac oeb=tam giac odc
c,ao là tia phân giác của góc bac