cho tam giac ABC co 3 goc nhon cac duong cao AD BE CF cua tam giac ABC cat nhau tai H
a) CM: tu giac CFHD noi tiep trong 1 duong tron xac dinh vi tri tam O cua duong tron ngoai tiep tu giac CEHD
b) CM: goc FEH bang goc DEH . CM: H la tam duong tron noi tiep tam giac DEF
c) CM; CH = 4cm tinh do dai duong tron tam (o) va duong kinh hinh tron (o)
cho tam giac ABC , goc A cong goc A cong goc B bang 105 do,AB+ can bac hai cua hai nhan AC bang 2 nhan BC .Tinh goc B.
cho tam giac abc co goc a bang 45 do, ab=ac=x.tinh bc
Cho doan thang BC co dinh co do dai 2a voi a >0 va mot diem A di dong Sao cho goc BAC bang 90 do ke AH vuong goc voi BC tai H goi HE va HF lan luot la duong cao cua tam giac AHB va tam giac AHC .Dat AH =x.Tim x de Saef dat gia tri lon nhat
cho tam giac ABC, duoang cao AK .goi 3diem D,E,F lan luot la trung diem cua AB,AC,BC
a) BDEF la hinh gi ? vi sao
b) chung minh ADEF la hinh thang can
c) goi H la truc tam cua tam giac ABC.M,N,P theo thu tu la trung diem cua HA ,HB,HC.chung minh cac doan thang MF ,NE,PD bang nhau va cat nhau tai trung diem moi doan
BAI 2 cho tam giac ABC co AB=6,AC=8,BC=10.goi AM la trung tuyen cua tam giac
a)tinh AM
b)ke MD vuong goc voi AB,ME vuong goc voi AC.tu giac ADME co dang dac biet nao ?
c)DECB co dang dac biet nao
cho tam giác ABC, góc A bằng 90 độ cho tam giac abc, goc a bang 90 do, ab bang 15cm, bc bang 25cm, ah la duong cao tam giac, e la trung diem cua ah, tren tia ab lay diem d sao cho a la trung diem, dh cat ac va ce tai hai diem t va k. chung minh rang di nhan dk cong ci nhan ca bang cd binh phuong
canh huyen cua mot tam giac vuong bang 10cm hai canh goc vuong hon kem nhau 2cm tinh chu vi cua tam giac do
cho tam giac ABC co goc A bang 60 do, phan giac BE va CF cat nhau tai D .Chung minh DE=DF
cho tam giac ABC co goc A bang 60 do, phan giac BE va CF cat nhau tai D .Chunh minh DE=DF