cho tam giac ABC co goc a nhon M la trung diem cua BC tren tia doi cua tia MA lay diem D sao cho MA=MD chung minh BAM=CDM chung minh AC=AD tren nua mat phang Bo AB ko chua C ve tia Ax vuong goc AB tren nua mat phang bo AC ko chua B ve tia Ay vuong goc AC tren tia Ax lay Diem P sao cho AP=AB tren tia Ay lay diem Q sao cho AQ=AC chung minh tam giac ABQ= tam giac APC goi giao diem cua DA va PQ la K chung minh AK vuong goc PQ
Cho tam giac ABC co goc A<90°.ve Ax vuong AB(hai tia Ax va AC cung nam trong mot nua mat phang bo la duong thang AB) tren tia Ax lay diem D sao cho AD=ABva dung tai Ay lay E sao cho AE=AC .Goi M la trung diem cua canh BC .Cm AM=1/2DE
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?
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 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
1)cho tam giac ABC co goc A <90 độ ve tia Ax vuong goc voi AB(Ax va AC cung nam trong nua mat phang bo la duong thang AB) tren tia Ax lay diem d sao cho AD=AB.Ve tia Ay vuong goc voi AC(Ay va AB cung nam trong 1 nua mat phang bờ la doan thang AC )tren tia Ay lay diemE sao cho Ae=Ac.Goi M la trung diem cua canh BC .Chung minh rang
a)AM=1/2DE
b)AM vuong goc voi DE
2)cho tam giac ABCgoi M,N lan luot la trung diem cua AB va AC .Chung minh rang MN//BCva MN=1/2 BC
3)cho tam giac ABC vuong tai A , AH vuong goc voi BC. Biet HC-HB=AB.Chung minh rang BC = 2AB
4)tim so nguyen x,y sao cho:x-2xy+y=0
5)cho tam giac ABC co goc A = 60 độ . Chung minh BC.BC=AB.AB+AC.AC-AB.AC
1)cho tam giac ABC co goc A <90 độ ve tia Ax vuong goc voi AB(Ax va AC cung nam trong nua mat phang bo la duong thang AB) tren tia Ax lay diem d sao cho AD=AB.Ve tia Ay vuong goc voi AC(Ay va AB cung nam trong 1 nua mat phang bờ la doan thang AC )tren tia Ay lay diemE sao cho AE=AC.Goi M la trung diem cua canh BC .Chung minh rang
a)AM=1/2DE
b)AM vuong goc voi DE
2)cho tam giac ABCgoi M,N lan luot la trung diem cua AB va AC .Chung minh rang MN//BCva MN=1/2 BC
3)cho tam giac ABC vuong tai A , AH vuong goc voi BC. Biet HC-HB=AB.Chung minh rang BC = 2AB
4)tim so nguyen x,y sao cho:x-2xy+y=0
5)cho tam giac ABC co goc A = 60 độ . Chung minh BC.BC=AB.AB+AC.AC-AB.AC
1)cho tam giac ABC co goc A <90 độ ve tia Ax vuong goc voi AB(Ax va AC cung nam trong nua mat phang bo la duong thang AB) tren tia Ax lay diem d sao cho AD=AB.Ve tia Ay vuong goc voi AC(Ay va AB cung nam trong 1 nua mat phang bờ la doan thang AC )tren tia Ay lay diemE sao cho Ae=Ac.Goi M la trung diem cua canh BC .Chung minh rang
a)AM=1/2DE
b)AM vuong goc voi DE
2)cho tam giac ABCgoi M,N lan luot la trung diem cua AB va AC .Chung minh rang MN//BCva MN=1/2 BC
3)cho tam giac ABC vuong tai A , AH vuong goc voi BC. Biet HC-HB=AB.Chung minh rang BC = 2AB
4)tim so nguyen x,y sao cho:x-2xy+y=0
5)cho tam giac ABC co goc A = 60 độ . Chung minh BC.BC=AB.AB+AC.AC-AB.AC
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