cho tam giac ABC vuong tai A co AB=9cm BC=15cm tren tia doi cua tia AB lay diem D sao cho A la trung diem cua doan thang AB
a, tinh do dai canh AC va ss cac goc cua tam giac ABC
b, cm tam giac BCD can
c, goi E la trung diem cua canh CD ,BE cat AC o I .cm DI ik qua trung diem cua canh BC
(ve hinh )
cho hinh vuong ABCD. Qua A ve hai duong thang vuong goc voi nhau lan luot cat BC tai P va R, cat Cd tai Q va S.
a, chung minh tam giac AQR va tam giac APS la cac tam giac can
b, QR cat PS tai H; M,N la trung diem cua QR va PS. chung minh tu giac AMHN la hinh chu nhat
c, chung minh P la truc tam
d, chung minh MN la duong trung truc cua AC
e, chung minh bon diem M, B,N,D thang han
bai 3 ; cho tam giac abc . tren canh ab lay diem m , tren canh ac lay diem n sao cho bm = cn . goi i la trung giem doan bn , goi k la trung diem doan cm , duong thang ik cat ab tai p , cat ac tai q . chung minh rang tam giac apq la tam giac can .
Cho tam giac ABC can o A (goc A ,90o) duong cao AD va CE cat nhau tai H
a, tim cac cap tam giac dong dang
b, Cho HD=4 CM, HA=32 cm.Tinh BC
cho tam giac abc can tai a .m,d tuong ung la trung diem cua bc ,am.h la hinh chieu cua m tren cd.ah cat bc tai n ,bh cat am tai e.C/me la truc tam tam giac abn
Cho tam giac ABC co 3 duong trung tuyen AM,BN,CP.Qua N ke duong thang song song voi PC cat BC tai F , duong thang qua F song song voi PN va duong thang qua B song song voi CP cat nhau tai D . Goi G la trong tam cua tam giac ABC .CMR : \(S_{ABG}=S_{GBC}=S_{GCA}\)
De bai : Cho tam giac ABC co AB=9 cm,BC=12 cm,BC=15 cm
a,C/m tam giac ABC vuong
b,Duong phan giac cua goc B cat AC tai D . Tinh AD,DC
c,Duong cao AH cat BD tai I. Chung minh IH.BD=IA.IB
d,Chung minh tam giac AID can
cho hthang ABCD (AB//CD) có CD=2AB.O lā giao điêm cua 2 đuong cheo AC vā BD.F la giao diem 2 canh ben AD va BC
a) OC=2OA
b) điem O la diem dac biet gi trong tam giac FCD?Chung minh
c) 1 diem // vs canh AB va CD lan luot cat cac doan thang AD,BD,AC,BC tai M,I,K,N.Chung minh:DM/AB=CN/CD
d) So sanh MI=NK
bai 7 : cho tam giac abc vuong tai a , duong trung tuyen am . goi d la trung diem cua ab , e la diem doi xung voi m qua d .
a ) chung minh e doi xung voi m qua ab .
b) cac tu giac aemc, aebm la hinh gi . chung minh .
c ) cho bc = 4 cm . tinh chu vi tu giac aebm.
d ) tam giac vuong abc can co them dieu kien gi de aebm la hinh vuong .
