Cho tam giac ABC co goc A < 90o ; AB = AC; AM la tia phan giac cua goc A (M thuoc BC)
a. CM goc B bang goc C
b. Tren cung mot nua mat phang bo AB khong chua diem C ke tia Ax vuong goc voi AB, tren nua mat phang bo AC khong chua diem B ke tia Ay vuong goc voi AC. Tren tai Ax va Ay lan luot lay 2 diem N va P sao cho AN=AP. CM rang BP=CN
c.CM NP song song voi BC
cho goc xoy =50 do. lay diem A tren tia ox . tren cung 1 nua mat phang bo ox chua tia oy, ve tia ot sao cho oy cat nhau tai B va goc oAt =80 do. goi at' la tia phan giac cua goc xAt
a) chung minh At'song song voi Oy
b) tren nua mat phang ko chua diem A bo duong thang oy ve tia Bn song song Ox
Cho tam giac ABC nhon CAB ( AB>AC ). Tren nua mat phang bo BC khong chua diem A ve tia Cx song song voi AB. Tren tia Cx. Lay diem D sao cho CD=AB
a) Chung minh tam giac ABC= tam giac DCB
b) Chung minh AC//BD
c) Tu A ke AH vuong goc voi BC ( H thuoc BC ) Chung minh AH=DK
d) Goi I la trung diem cua BC . Chung minh I la trug diem cua AD
cho tam giac ABC co goc C=40o. Tren canh AB lay diem M, tren nua mat phang bo AB co chua diem C ve tia Mx sao cho goc AMx=goc B
a) chung minh rang: Mx // BC
b) goi D la giao diem cua Mx va AC. lay N nam giua C va D. Tren nua mat phang bo AC ko chua B ve tia Ny sao cho goc CNy=goc C. chung minh rang: Mx // Ny
c) tinh so do goc MDC
giup mik vs T-T
lay diem O batcky tren xy. tren nua mat phang bo xy, ve tia Ozcsao cho goc xoz = 50 do. tren tia Oy, lay diem B. tren nua mat phang bo xy chua tia Oz , ve Bt sao cho goc tBy= 130 do :
a) chung minh Oz song song Ot
b) ve tia Om va Bn lan luot la tia phan giac cua goc xoz va goc xbt. chung minh Om song song Bn
Cho tam giac ABC can tai A.Tren canh AB lay diem D sao cho AD=BC.Qua D ve 1 duong thang song song voi BC,tren do lay DE=AB(E thuoc nua mat phang chua C,bo la duong thang AB). a) chung minh tam giac EDA=tam giac ABC; b) tinh so do goc DAE?;c) chung minh tam giac ACE deu
cho tam giac abc co 3 goc nhon, duong cao ah. Trên nua mat phang bo la duong thang ac co chua diem b, e tia cx song song voi ab,tren tia cx lay diem d sao cho cd bang ab. ke dkvuong goc voi bc. Goi o la trung diem cua bc. Chung minh:
a.ah=dk
b.ba diem a,o,d thang hang
c.ac song song voi bd
Cho tam giac ABC nhon Tren nua mat phang co chua A bo BC ve tia Bx vuong voi BC Lay D thuoc Bx sao cho BD=BC Tren nua mat phang co chua C bo AB ve By vuong voi BA Lay E thuoc By sao cho BE=BA Chung minh rang
DA=EC
DAvuong voi EC
Cho tam giac ABC .goc A {90* . tren nua mat phang bo AB ko chua diem C, ve Ax vuomg goc voi AB, tren do lay D sao choAD=AB .tren nua mat phang bo AC, ko chua diem B ,ve Ay tren do lay E sao cho AE=AC a cmr BE=CD b duong thang AC va ED co vuong goc voi nhau ko?