cho tam giac ABC cac duong cao BH,CK cat nhau tai E. Qua B ve Bx vuong goc voi AB, qua C ve duong thang Cy vuong goc voi AC. Hai duong thang Bx va Cy cat nhau tai D.
a) Tu giac BDCE la hinh gi? Vi sao?
b) Goi m la trung diem BC. Chung minh rang M la trung diem ED
c) tam giac ABC thoa man dieu kien gi thi DE di qua A
cho tam giac ABC .M la trung diem cua BC .goi H,K lan luot la hinh chieu cua B,C tren AM chung minh tu giac BHCK la hinh binh hanh .Tu do suy ra CH song song vs BK
cho tam giac ABC. Tu diem E tren canh AC ve duong thang song song voi BC cat AB tai F va duong thang song song voi AB cat BC tai D. Gia su AE=BF.
a) chung minh tam giac AED can
b) chung minh AD la phan giac cua goc A
Cho hbh ABCD co AD = 2AB goc A =60°, goi EF lan luot la trung diem cua BC, VA AD.
a) chung minh AB⊥BF.
b) c/m tu giac BDCF la ht can.
c) lay diem M doi xung voi A qua B. C/m tu giac BMCD la hinh cn
d) chung M, E, D, thang hang
cho tam giac ABC.Goi M,N,P lan luot la trung diem AB,AC,BC.CM:tu giac BMNP la hinh binh hanh.
Ve hinh ,giai chi tiet.
- Cho tam giac ABCD. Goi E,F tuong ung la trung diem cua CD,AB.
a) chung minh rang: AECF la mot hinh binh hanh
b) AE cat BD tai I, con CF cat BD tai H. chung minh rang: DI= IH= HB
c) Goi J la giao diem cua BE voi CF. chung minh rang : 4HJ=HC.
Cho tam giac ABC vuong tai A co E la trung diem cua AB M la trung diem cua BC goi F doi xung voi E qua M a,EMAC la hinh gi b, AEFC la hinh gi
cho tam giac abc vuong tai a co ab = 4cm , ac = 5cm. cac diem d,e lan luot tren ab,ac sao cho bd=ae =x .gia tri x de dien tich tu giacBDEC nho nhat la
CAC ANH CHI GIUP EM
Tu dinh A cua tam giac ABC ha duong cao AM va AP xuong cac duong phan giac ngoai cua goc B va goc C .cmr
a,PM//BC
b,PM=AB+BC+CA/2
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