cho tam giac ABC tren cac canh BC,CA,AB lay cac diem D,E,F sao cho AD,BE,CF cat nhau tai H. CMR: AH/AD+BH/BE+CH/CF=2
Cho tam giac abcd, tren canh ab, ac lan luot lay cac diem d, e sao cho ad=1/4ab, ae=1/2ac. Đường thang de cat duong thang bc tai f. Chung minh cf=1/2bc
CHO TAM GIAC ABC, DUONG CAO AD, H LA 1 DIEM BAT KI NAM TREN AD. BH CAT AC TAI E. CM CAT AB TAI F
CMR:
1) HD/AD+HE/BE+HF/CF=1
2) CM: DA LA PHAN GIAC CUA GOC EDF
cho tam giac ABC nhon co 3 duong cao AD , BE , CF cat nhau tai H CMR a)DB*DC=DH*DA.b)tam giac ABC dong dang voi tam giac AEF.c)DH/AD +HE/BE+HF/CF=1.d) H la giao diem cac duong phan giac cua tam giac DEF
Cho tam giác ABC trên cạnh BC,CA,AB lấy D,E,F sao cho AD,BE,CF cắt nhau
a) chứng minh :AH/AD+BH/BE+CH/CF
b)AH/HD+BH/HE+CH/Hf>=6
cho tam giac abc duong thang d ct kat canh ac ab tai e f va cat duong thang bc tai d goi g la giao diem cua be cf ag cat bc tai h cmr hb/hc=db/dc
cho tam giac ABC lay cac diem d,e,f theo thu tu sao cho AD =1/3AB,BE=1/3BC,CF=1/3CA
cmr tam giac DEF=1/7tam giac ABC
cho tam giac ABC nhon, cac duong cao AD,BE,CF cat nhau tai H.Tren cac doan HB,HC lay cac diem M,N tuy y sao cho:HM=CN.CMR:duong trung truc cua MN luon di qua 1 diem co dinh
Cho tam giac ABC co AB=AC Tren canh AB lay diem D, tien tia doi cua tia CA lay diem E soa cho DB=CE, BC cat DE tai F. CMR: F la trung diem cua DE