cho tam giac ABC co AB=5cm,AC=12cm va BC=13cm.ve duong cao AH, trung tuyen AM(H,M thuoc BC)va MK vuong goc voi AC.Chung minh:
a,tam giac ABC vuong
b,tam giac AMC can
c,tam giac AHB dong dang voi tam giac AKM
d, AH.BM=CK.AB
Cho tam giac ABC co duong trung tuyen AM Qua diem D Thuoc BC va duong thang song song voi AM cat AB va AC theo thu tu tai E va Fa, khi D di chuyen tren BC thi tong DE_DF ko doi b, Qua diem A ke duong thag song song BC cat EF tai K CMR K la trung diem cua EF
Cho tam giac ABC can tai A co hai duong Trung tuyen BM va CN
a) ke duong thang di qua M va song song voi CNcat BC tai D. CM tu giac NMDC la Hinh binh hanh
b)Chung Minh tam giac BMD can, goi K l a hinh chieu cua H tren AC va I la Trung diem cua HK, CM AI vuong goc voi BK
Cho tam giac abc can tai A co 2 duong trung tuyen BM va CN
a)Chung Minh tu giac bcnm la hinh thang can
b)ke duong thang di qua m va song song voi CN cat BC tai D . CM tu giac NMDC la Hinh binh hanh
c) CM tam giac BMD la tam giac can va BD=3MN
d) goi AH la duong cao cua tam giac ABC va Q la diem doi xung voi H qua N. CM tu giac AHBQ la Hinh chu nhat
e) goi k la Hinh chieu cua H tren AC va I la Trung diem cua HK. Chung Minh AI vuong goc voi BK
cho tam giac abc co m thuoc ab am=1/3ab ve mn song song voi bc n thuoc ac va mn =2cm thi bc=?
cho tam giac ABC vuong tai A (AB<AC),AM la duong trung tuyen,AH duong cao.Tu M ve ME song song AB (E thuoc AC),MD song song AC (D thuoc AB)
a)ADME la hinh gi?Vi sao?
b)Chung minh AH vuong goc DE
c)F la diem doi xung voi M qua AB.AFBM la hinh gi?vi sao?
d)Khi tam giac ABC vuong can tai A thi ADME va AFBM la hinh gi?Vi sao
cau 1 cho tam giac can abc co ab=ac=17 va bc=30 ve ra ngoai tam giac abc tam giac bcd voi cbd=90 do va cd song song voi ab tinh do dai bd
cau 2 cho tam giac abc co goc b =70 do goc c =40 do cac duong cao bd va ce cat nhau tai h goi i la trung diem cua ah m la giao cua tia phan giac goc eid voi bc tinh goc imd
cho tam giac abc, trung tuyen am. gio g la trong tam cua tam giac abc. qua g ke cac duong thang song song voi ab va ac, cat bc theo thu tu tai d va e. a, tinh va so sanh cac ti so bd/bm va ce/cm tu do suy ra bd=ce. b, chung minh bd=de=ce
cho tam giac abc vuong tai A (AB<AC). Ke duong cao AH.
A) TAM GIAC AHB dong dang voi tam giac CAB
B) Tu H ke HE vuong goc voi AB(E THUOC AB). Ke HF vuong goc voi AC ( F thuoc AC) CM AE.AB=AF.AC
C) GOI M LA GIAO DIEM CUA EF VA BC. CM GOC MCE = GOC MFB