Tren canh Bx cua goc xBy lay diem C khong trung voi diem B.Tu C ke duong thang vuong goc voi By tai A.Tia phan giac cua goc xBy cat doan AC tai diem E,ke EH vuong goc voi BC tai H.Goi K la giao diem cua AB va HE.Chung minh
a) Tam giac HBE=tam giac ABE
b) BE la duong trung truc cua AH
c) So sanh :EC va AE
cho tam giac abc vuong tai a,co ab=9,bc=15
a) tinh do dai canh ac va so ssanh cac goc cua tam giac abc
b) tren tia doi cua tia ab lay diem d sao cho a la trung diem cua doan thang bd.chung minh tam giac bcd can
c) goi k la trung diem cua canh bc. duong thang dk cat canh ac tai m.tinh do dai doan thang mc
d) duong trung truc cua canh ac cat duong thang dc tai q.chung minh ba diemb,m.q thẳng hàng
1. Cho hinh thang ABCD , phan giac cua goc A cat duong cheo BD tai E va phan giac goc B cat AC tai F . Chung minh EF //AB?
2.Cho tam giac ABC , cac tia phan giac cua goc B va goc C cat nhau tai O . Tu A ve duong thang vuong goc voi OA cat BO , CO lan luot tai M va N . Chung minh BM vuong goc voi BN , CM vuong goc voi CN?
3.Cho goc vuong xOy ,vaf tam giac ABC vuong tai A (B thuoc Ox ,AC thuoc Oy,A va O nam tren hai nua mat phang doi nhau co bo la BC ).chung minh OA la tia phan gic cua xOy ?
cac ban giup mik nha
tren doan thang AC lay B sao cho AB>BC. tran cung mot nua mat phang bo AB ve cac hinh vuong ABDE,BCFG . tren tia doi tia CF lay H sao cho FH=AB cac duong thang ke qua A song song voi GH va ke qua H song song voi AG cat nhau tai K
.a, tu giac AGHK la hinh gi ?
b,Tinh goc GCK
c, cmr 3 duong thang AC,CG,EF dong quy
Cho tam giac deu ABC, E la diem tren canh AC( E khac A),F la hinh chieu vuong goc cua E tren AB . Duong thang qua C vuong goc voi BC cat EF tai D . Goi K la trung diem AE , H la diem doi xung vs D qua K
cho tam giac ABC. Lay diem M tren AB sao cho AM=1/4 ABlay diem N tren AC sao cho AN sao cho AN=1/2 AC. duong thang cat BC tai P . chung minh CP=1/2 BC
Cho tam giac ABC co AB=12cm . Duong phan giac goc A cat BC tai D, biet BD=9cm . tren canh AC lay diem E sao cho CE=12,5 cm a)Tinh do dai cac doan thang DC,BC b)Chung minh DE song song voi AB; tinh do dai doan thang DE
Cho tam giac ABC nhon ( AB<AC) hai duong cao BE va CF cat nhau tai H. Ve duong thang vuong goc voi AB tai B, ve duong thang vuong goc voi AC tai C, hai duong thang nay cat nhau tai D.
a. C/M AH vuong goc BC và BCHD là hinh binh hanh
b. Goi M la trung diem BC. C/M : H,M,D thang hang
c. Goi K la diem doi xung cua H qua BC. C/M BD=CK