Cho hinh thang can abcd co day bc,ad.Goi m,n,p,q theo thu tu la trung diem cua ab, bc,cd,da
a)cmr:MP la phan giac goc qmn
b)tim dieu kien cua hinh thang abcd doi voi 2 duong cheo de goc mnq bang 45 do
c)cmr:co them dieu kien do thi hinh thang can abcdco duong cao +duong trung binh cua no
Cho hinh thang ABCD(AB song song DC) co BD la phan giac goc D va BD vuong goc vs BC.Biet AB bang 6, goc D la 60 do.Tinh DC, canh ben,duong cao va duong cheo hinh thang ABCD
cho hinh thang ABCD (AB//CD, AD khac BC). Goi E, F lan luot la trung diem cua cac duong cheo BD, AC va G la giao diem cua duoang thang qua E vuong goc voi AD va duong thang qua F vuong goc voi BC. CMR GD=GC
BAI1
Cho tam giac deu ABC .Diem M nam trong tam giac do.Qua M ke duong thang song song voi AC va cat BC o D,ke duong thang song song voi AB va cat AC o D,ke duong thang song song voi BC va cat AB o F.CMR
a,BFMD,CDME,AEMF LA CAC HINH THANG CAN
b,goc DME=goc EMF=goc DMF
c,Trong ba doan thang MA,MB,MC doan lon nhat nho hon tong hai doan kia
BAI2
Hinh thang can ABCD (AB//CD)co hai duong cheo cat nhau tai P,hai canh ben keo dai cat nhau tai Q .CMR
PQ la duong trung truc cua hai day
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
Cho hinh thang can ABCD. Day nho AB bang canh ben BC va duong cheo AC vuong goc oi canh ben AD.
a) Tinh cac goc cua hinh thang can
b)Chung minh rangg trong hnh thang can do day lon gap doi day nho
Cho hinh thang ABCD ,AB//CD ,E,F lan luot la trung diem cua cac duong cheo AC,BD.?
goi G la giao diem cua duong thang qua E vuong goc voi AD va duong thang qua F vuong goc voi BC
chung minh rang GD=GC
cho hinh chu nhat ABCD co AD= 6cm, AB=8cm, hai duong cheo AC va BD cat nhau tai O. Qua D ke duong thang d vuong goc voi BD, d cat BC tai E.
a) Chung Minh: Tam giac BDC dong dang voi tam giac DCE.
b) Ke CH vuong goc voi DE tai H. CMR: DC.DC=CH.DB
c) goi K la giao diem cua OE va HC. Chung minh K la Trung diem cua HC va tinh ti so dien tich tam giac EHC vatam giac EDB.
d) Chung Minh Rang: Ba duong thang OE, CD, BH Dong Quy.
( Ve Hinh Nhe)
cho hinh thang can abcd co duong cheo bd vuong goc voi canh ben bc, bd la tia phan giac cua goc d.tinh chu vi cua hinh thang , biet bc=a