Cho tam giac ABC.goi M la trung diem cua canh AC,tren tia BM lay diem N sao cho M la trung diem cua doan BN
Chung minh: a) CN vuong goc voi AC va CN=AB
b)AN=BC va AN / /BC
Cho tam giac ABC.goi M la trung diem cua canh AC,tren tia BM lay diem N sao cho M la trung diem cua doan BN
Chung minh: a) CN vuong goc voi AC va CN=AB
b)AN=BC va AN / /BC
Cho tam giac ABC co goc A bang 90 do. Goi M la trung diem cua canh AC, tren tia BM lay N sao cho M la trung diem cua BN. Chung minh
A) CN vuong goc AC va CN bang AB
B) AN bang BC va AN song song BC
cho tam giac ABC voi AB=AC.lay diem I la trung diem cua BC.tren tia BC lay diem N,tren tia CB lay diem M sao cho CN=BM.
a,chung miinh goc ABI=goc ACI va AI la tia phan giac cua BAC.
b,chung minh AM=An.
c,chung minh AI vuong goc voi BC
Cho tam giac ABC nhon (AB < AC). Gọi M là trung điểm của BC . Tren tia Am lay diem N sao cho M la trung diem cua AN.
a, Chung minh tam giac AMB = tam giac NMC?
b, Ve CD vuong goc Ab (D thuoc AB)so sanh goc ABC va goc BCN , tinh goc DCN?
c, Ve AH vuong goc voi BC , tren tia doi cua tia HA lay diem I sao cho HI = HA. Chung minh BI=CN?
1. cho tam giac ABC can tai A, ve diem M, Nbat ki tren duong trung truc ca doan thang BC.CM:
a,tam giac MBCcan tai M
b, MNC=MNB
2.cho tam giac ABC cao M la trung diem cua canh BC. qua B ke duong thang Bx \\ AC, qua C ke Cy \\ AB. giao diem cua Cy, Bx la D. CM: A, D, M thang hang.
3. do dai 2 canh goc vuong cua mot tam giac vuong ti le voi 7 va 24. chu vi tam giac bang 112. tinh do dai canh huyen.
4.cho tam giac ABC can tai A, canh day nho hon canh ben. duong trung truc cua AC cat BC tai M. tren tia doi cua AM lay N \ AN = BM.
a, CM: 2 goc AMC va BAC bang nhau
b, CM: CM = CN
c, de CM vuong voi CN hi tam giac ABC phai co them dieu kien gi?
5. cho tam giac ABC deu. tren tia doi cua tia phan giac goc BAC lay D \ AD = AB. tinh cac goc cua tam giac DBC.
cho tam giac abc goi d va e la trung diem cua ab va ac , tren tia doi cua tia ed lay diem m sao cho em = ed , tren tia doi cua tia eb lay diem n sao co en = eb a , chung minh tam giac aed = tam giac cem . b, m la trung diem cua cn . c, de // bc va 2de = bc
cho tam giac ABC co AB=AC,lay diem M tren canh AB,diem N tren canh AC sao cho AM=AN(M khac A,B va N khac A,C).Goi O la giao diem cua BN va CM.Chung minh rang : a) BN=CM, b) tam giac BOM=tam giac CON, c) OA vuong goc voi BC
1)cho tam giac ABC co goc A <90 độ ve tia Ax vuong goc voi AB(Ax va AC cung nam trong nua mat phang bo la duong thang AB) tren tia Ax lay diem d sao cho AD=AB.Ve tia Ay vuong goc voi AC(Ay va AB cung nam trong 1 nua mat phang bờ la doan thang AC )tren tia Ay lay diemE sao cho Ae=Ac.Goi M la trung diem cua canh BC .Chung minh rang
a)AM=1/2DE
b)AM vuong goc voi DE
2)cho tam giac ABCgoi M,N lan luot la trung diem cua AB va AC .Chung minh rang MN//BCva MN=1/2 BC
3)cho tam giac ABC vuong tai A , AH vuong goc voi BC. Biet HC-HB=AB.Chung minh rang BC = 2AB
4)tim so nguyen x,y sao cho:x-2xy+y=0
5)cho tam giac ABC co goc A = 60 độ . Chung minh BC.BC=AB.AB+AC.AC-AB.AC