cho tam giac ABC, M là trung điểm của AC. Trên tia đối của tia MB lấy N sao cho M là trung điểm của BN
a,chung minh rang AB song song CN
b,goi E la trung diem cua doan thang MN. Tren tia doi cua EC lay F sao cho EC=EF. chung minh rang goc FNA= goc ACB
c,goi K la trung diem cua doan thang BC. chung minh rang MK=ME=\(\frac{1}{2}\)CN
bài 1: Cho tam giac ABC co AB = AC. Goi H la trung diem cua BC. Tren tia doi cua
tia BC lay diem M va tren tia doi cua tia CB lay diem N sao cho MB = CN.
a) Chung minh rang: AABH = AACH
b) Chung minh rang: AH la tia phan giac cua goc BAC
c) Chung minh rang: AH 1 BC
d) Ching minh rang: AM = AN
e) Chung minh rang: H la trung diem cua MN
Tren nua mat phang bo MN khac phia voi A, lay diem E sao cho EM = EN.
Chung minh rang: A, H, E thang hang.
bài 2: Chung minh rang: "Trong mot tam giac vuong, canh doi dien voi goc 30 do se bang
nua canh canh huyen"
mong trả lời nhanh
cho tam giacABC goi M la trung diem cua doan thang AB ; N la trung diem cua doan thang AC ;tren tia doi cua tia MN lay AC .Tren tia doi cua tia NM lay b sao cho NM=ND
A)Chung minh tam giac AMN= tam giac CND ;MB=CD
B) CHUNG MINH MN//BC; MN=1/2BC
C) CHUNG MINH BD di qua trung diem cua MC
cho tam giac ABC , M la trung diem tren AC . Tren tia doi cua tia MB lay diem D sao cho MD = MB . Ve CE vuong goc AD tai E . Goi F la diem nam tren canh BC sao cho BF = DE . Chung minh rang:
a) tam giac ABC = tam giac CDA
b) AF vuong goc voi Bc
c)M,E,F thang hang
Cho tam giac ABC. Goi D la trung diem cua BC. Tren tia doi cua tia DA, lay diem M, sao cho DM = DA, tren tia doi cua tia AC, lay diem N, sao cho AN = AC. Goi K la giao diem cua NM va AB. Chung minh rang: K la trung diem cua AB.
MONG CAC BAN SE GIUP MINH, CAM ON!!
cho tam giac ABC co AB =6 ,AC=8, BC=10. goi K la trung diem cua doan thang BC ,duong trung truc cua doan thang BC cat AC tai M . goi D la hinh chieu vuong goc cua C tren duong thang BM chung minh rang : tam giac ABC vuong tai A
Tren canh BC cua tam giac ABC lay diem D thuoc BC, (D khong trung voi B va C). Goi M la trung diem cua AD. Tren tia doi cua tia MB lay diem E sao cho ME=MB. Tren tia doi cua tia MC lay diem F sao cho MF=MC. Chung minh rang :
a. tam giac MAE= tam giac MDB
b. AE//BC
c. ba diem F,A,E thang hang
cho tam giac ABC. Goi M la trung diem BC va AM la tia phan giac cua goc A. Ve MI vuong goc AB, MH vuong goc AC. Chung minh rang:
a, MI = MH
b, Tam giac ABC can
c, Cho AB = 17 cm, AM = 15 cm. Tinh BC
d, Tren tia doi cua tia BC lay diem D, tren tia doi cua tia CB lay diem E sao cho BD = CE. Chung minh: tam giac AED can
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
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
