cho tam giac ABC co goc BAC =90 do , tia phan giac goc ACB cat AB tai M . Qua A ke duong thanh vuong goc voi CM tai H , AN cat BC tai H.a) cminh tam giac ACN = tam giac HCN b) Qua N ke HM cat AC tai K . chung minh BK song song AH . c) qua N ke duong thang song song AC cat BC tai E . chung minh NE = 1/2 AC
cho tam giac abc phan gic goc b cat ac o d. qua d ke duong thang cat ab o e sao cho edb =ebd qua e ke duong thang song song voi bd cat ac o f chung minh ed song song voi dc; ef la tia phan giac cua aeb
cho tam giac ABC co tia phan giac AD.Qua D ke duong thang song song voi AB cat AC o E.Qua E ke duong thang song song voi AB cat AC o K.Chung minh rang; a) tam giac AED can
b)BK + DE > AD
cho tam giac ABC , phan giac AD , qua B ke duong thang d song song voi AD.a,chung to d cat AC tai E b,chung to ABE=AED c,ve m qua A va vuong goc voi AD , cat BE tai F . CMR:AF la phan giac cua EAB va vuong goc voi EB
cho tam giac ABC , goc A =120 do, phan giac AD, D thuoc BC. tu D ha DH vuong goc AB va DK vuong goc voi AC
a)chứng minh tam giác DHK la tam giac deu
b) qua C ke duong thang song song AD cat AB tai I. chung minh tam giac ACI la tam giac deu
cho tam giac ABC; D la trung diem cua AB . Duong thang ke qua D va song song voi canh BC cat AC o E ; duong thang ke qua E song song voi AB cat BC o F. CMR:
a) AD=EF
b)BF = FC
c) DE=1/2 BC va EF = 1/2AB
cho tam giac ABC can tai A . duong phan giac GC qua D ve duong thang vuong goc voi CD cat BC tai F . Duong thang ke qua D song song voi BC cat AC tai E . phan giac goc BAC cat DE tai M
CMR CF= 2BD
MD=CF/4
tam giac ABC co tia phan giac cua goc B cat AC o D qua A ke duong thang song song voi BD duong thang nay cat duong thang BC o E hay chung to rang goc BAE=goc BEA
CO AI GIAI NHANH HO MINH VOI
cho tam giac ABC can tai A ,goc A = 20 do . trung truc AC cat AB tai D ,ke Dx o ngoai tam giac ABC sao cho BDx = 100 do . qua B ke duong thang song song AC cat Dx tai K .
a, chung ming KC la phan giac goc BKD
b,tinh goc BCk