cho tam giac ABC (AB<AC)goi Ax la tia phan giac cua goc A,I la trung diem cua BC. Qua I ke duong thang vuong goc voi Ax cat duong thang AB tai D va duong thang AC tai E
cho tam giac ABC co goc ABC=30do va goc BAC=130do. goi Ax la tia doi cua tia AB, duong phan giac cua goc ABC cat phan giac cua goc CAx tai D. duong thang BA cat duong thang CD tai E. So sanh do dai AC va CE
Cho goc nhon xAy. Tren tia Ay lay diem C sao cho AB=AC (B va C khac A). Duong thang vuong goc voi Ax tai B va duong thang vuong goc voi goc Ay tai C cat nhau o diem M.
a, c/m ∆ABM =∆ACM
b, tia CM cat Ax tai diem N . chung minh CM<MN
Bai 2:
Cho ∆ ABC vuong tai A ,phan giac goc B va phan giac goc C cat nhau tai diem O. Goi E va F thu tu la hinh chieu cua O tren AB va AC.
a, c/m ∆AEO=∆AFO
b, cho AB=6cm, AC =8cm. Tinh do dai doan thang AE
Cho tam giac ABC ( AB<AC). Goi M la trung diem cua BC, duong thang qua M vuong goc voi tia phan giac goc BAC cat AB o D va cat AC o E. Duong thang qua B song song voi AC cat DE o F
chung minh rang:
a, chung minh tam giac ADE va tam giac BDF can
b, chung minh M la trung diem cua EF
c, chung minh AC-AB=2BD
Cho tam giac ABC co goc ABC= 30do va BAC=130do. Goi Ax la tia doi cua tia AB, duong phan giac cua goc ABC cat phan giac cua goc CAx tai D. Duong thang BA cat duong thang CD tai E. So sanh do dai 2 canh AC va CE
Cho tam giac ABC(AB khac AC) Duong trung tuuc cua doan BC tai H cat tia phan giac Ax cua Goc A tai K. Ke KE,KF theo thu tu vuong goc voi AB va Ac
a, Cm BE=CF
b, Noi EF cat BC tai M. CHUng minh M la trung diem cua BC
cho tam giac ABC can tai A co A < 90 do, duong vuong goc voi AB tai B va duong thang vuong goc voi AC tai C va chung cat nhau tai M.
a, c/m tgABM = tgACM, AM la phan giac cua goc BAC
b, Qua M ve duong thang song song voi AC, duong thang nay cat AB o D. Tren tia doi cua tia CA lay diem E sao cho CE = DB, c/m tgDBM = tgECM
c, BC cat DM tai F. c/m DF = CE
Cho tam giac ABC co A=75, B=35. AD la tia phan giac cua goc A. Qua A ke duong vuong goc voi AD duong thang nay cat uong thang BC tai E. Tren nua mat phang bo AE cung phia voi C ve tia Ax sao cho AEC=EAx. Tia Ax cat ED tai M.
a) Chung minh: ME=MD
b) Chung minh: BC= chu vi tam giac ABC
c) Tu M; N ta ke cac duong thang lan luot vuong goc voi Ae; AM. Chung cat nhau tai O. Duong thang OC cat AE tai N va AD tai K.Chung minh MN vuong goc voi NK
cho tam giac abc co goc c+90 do=goca ve ah vuong goc bc duong thang vuong goc voi ab tai a cat bc tai d goi m la giao diem cua cac tia phan giac goc bah va adh chung minh goc bah=2c chung minh mavuong goc ac