C/m neu 2 tam giac co 2 canh tuong ung bang nhau tung doi 1 nhung cac goc xem giua chung khong bang nhau thi cac canh thu 3 cung khong bang nhau va canh nao doi dien voi goc lon hon thi lon hon. Ai giai dum minh di
Cho tam giac ABC can tai A ke AH vung goc voi BC (H thuoc BC )
a, Chung minh AH la tia phan giac cua goc BAC
b, Ke HD vuong goc voi AB ( D thuoc AB) , HE vuong goc voi AC ( E thuoc AC). Chung minh tam giac HDE can
c, Neu cho AB = 29 cm , AH = 20 cm .Tinh do dai BC
d,Chung minh BC//DE
e, Neu cho goc BAC =120 do thi tam giac HDE tro thanh tam giac gi ? Vi sao
cho tam 2 ABC vuong can tai AC lon hon AB ve duong phan giac AB ke DK vuong goc AC tai K; a, chung minh tam giac ADK vuong can ,b chung minh AK <DC ,chung minh BD <AB ,d qua D ke duong thang vuong goc voi BD va cat canh AC o E tinh so do goc BCE
Cho tam giac ABC can tai A. Phan giac AM \(\left(M\in BC\right)\), co AB = 5cm, BC = 6cm
a) Chung minh: tam giac AMB = tam giac AMC
b) Chung minh: Am vuong goc BC
c) Tinh AM
d) Qua B ve duong thang a vuong goc voi AC va cat AM tai H. Chung minh: CH vuong goc AB
MINH DANG CAN RAT RAT GAP NHO CAC BAN GIAI GIUM CHO MINH ( cac ban muon giai phan a, b, c ko thi tuy nhung nho cac ban giup minh phan d voi )
CAM ON CAC BAN NHIEU
Cho tam giac ABC can tai B ke BH vuong goc AC ( H thuoc AC )
a) Chung minh: HA = HC
b) Ke HD vuong goc AB ( D thuoc AB ), HE vuong goc BC ( E thuoc BC ). Chung minh: HD = HE
c) Chung minh: tam giac BDE can
d) Chung minh: \(BE^2+DH^2=BC^2-HA^2\)
MINH DANG CAN GAP NHO CAC BAN GIUP CHO ( phan a, b, c cac ban co the lam hoac ko thi tuy nhung nho cac ban giup minh phan d )
CAM ON CAC BAN NHIEU
cho tam giac abc vuong tai a ab<ac.phan giac cua goc b cat ac tai dke de vuong goc voi bc (e thuoc bc)
a so sanh de,db
b tia ed cat tia ba tai f chung minh duong thang bd vuong goc voi cf
c neu goc abc =60 chung minh tam giac bcf la tam giac deu
cho tam giac ABC co AB nho hon AC D la trung diem BC tren tia doi DA lay E sao cho DA=DE
chung minh rang
a) tam giac ABC= tam giac ECD
b)EC lon hon AC
c) goc DAB nho hon goc DAC
cho tam giac ABC co goc C nho nhat. Tu B ve 1 duong thang song song voi phan giac AD cua goc BAC, duong nay cat AC tai E .
a) Chung minh goc BAC la goc nhon
b) Chung minh tam giac ABE co 2 goc bang nhau
c)Goi M la trung diem BE. Chung minh tam giac AMB=tam giac AME va AM vuong goc voi BE
d)Ke BH vuong goc voi AC, O la giao diem cua AD voi BH biet goc A=2 goc B. Tinh goc HOD
Tam giac ABC, BA=BC=10, AC=12, BI vuong goc voi AC, IH vuong goc voi AB, IK vuong goc voi BC
a, chung minh tam giac AIB=tam giac CIB
b, chung minh IB la phan giac goc HIK
c, tinh IB
d, chung minh HK song song AB