Ax // By <=> góc xAB + góc ABy = 180 độ (trong cùng phía)
<=> \(\alpha\)+ 4\(\alpha\)= 180 độ
<=> 5\(\alpha\)= 180 độ
<=> \(\alpha\)= 36 độ
Vậy \(\alpha\)= 36 độ để Ax // By
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 o trung diem doan thang ab. tren cung mot nua mat phang bo ab ve cac tia ax, by cung vuong goc voi ab. lay c bat ki tren ax roi ve duong thang vuong goc voi octai o cat by o d. chung minh a, oc la phan giac goc acd . b, ca= ac + BD
cho goc xoy = 140 do , tren tia ox , lay diem a ve tia Az sao cho tia Az va tia oy nam tren cung 1 nua mat phang bo chua tia ox va goc oaz = 40 do . a) CMR Az song song oy b) ve tia Az' la tia doi cua tia Az . CMR 2 duong thang phan biet cua 2 goc xoy va goc oaz song song voi nhau
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 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 goc xoy = 140 do , tren tia ox , lay diem a ve tia Az sao cho tia Az va tia oy nam tren cung 1 nua mat phang bo chua tia ox va goc oaz = 40 do .
a) CMR Az song song oy
b) ve tia Az' la tia doi cua tia Az . CMR 2 duong thang phan biet cua 2 goc xoy va goc oaz song song voi nhau
cho ab song song voi cd, lay diem m thuoc ab,diem n thuoc cd . sao cho mb va nd cung thuoc nua mat phang bo mn , ve tia mx o trong goc amn ve tia ny tren nua mat phang mcd khong chua m,sao cho ãm bang cny chung to mx song song voi ny
