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 )
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 .
cho tam giac ABC va diem O bat ky trong tam giac cac tia AO,BO,CO cat BC,CA,AB tai P,Q,R.CMR ≥8
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 hinh binh hanh ABCD. Goi G diem nam tren canh CD,K la diem nam tren canh CB sao cho CB=2DG va 2BK=3CK.Goi giao diem cua BD voi AG va AK lan luot la E va F . Tinh do dai cac doan thang DE,EF,FB.Biet BD=24cm
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
Cho hinh vuong ABCD canh a va M la diem di dong tren duong cheo AC. ME\(\perp\) AB, MF\(\perp BC\) . Xac dinh vi tri cua M tren AC de dien tich tam giac DEF nho nhat. Tinh gia tri do theo a.
Tu giac ABCD co M la trung diem AD , N la trung diem BC . Chung minh : MN ≤ \(\dfrac{1}{2}( AB + CD )\)
cho hinh vuong abcd co ac cat bd tai o.m la diem bat ki thuoc canh ad(m khac d,a).tia bm cat duong thang cd tai n,om cat an tai i.C/m di vuong goc voi an
