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
cho tam giac vuong can abc . Tren canh AB lay diem M sao cho BM=2MA tren nua mat phat phang bo ab khong chua diem C ve duong thang Bx vuong goc voi AB , tren Bx lay diem N sao cho BN=1/2AB.Duong thang MC cat NA tai E, duong thang BE cat duong thang AC o F.CMR: AF=AM
Cho hinh thang ABCḌ̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣̣(AB//CD),O la giao diem cua hai duong cheo AC va BD. Qua O ke duong thang song song voi AB cat AD va BC lan luot o M va N. CHung minh OM = ON
Cho hinh chu nhat ABCD hai duong cheo AC va BD cat nhau tai O .Lay E la doem bat ky thuoc doan thang OA .Duong thang BE cat AD tai M . Qua D ve duong thang song song voiBM duong thang nay cat BC tai F va cat AC tai N. Chung minh tu giac BMDF la hinh binh hanh
CHO TAM GIAC ABC co do dai BC=a va M la trung diem cua AB.tia Mx//BC cat AC tai N.
1 C/M N la trung diem cua AC
2,tinh do dai doan thang MN theo a.
bai 3:cho tam giac MNP co MN=4cm MP=6cm NP=8cm.keo dai MN lay diem I sao cho NI=NM,keo dai MP lay diem K sao cho PK=PM
keo dai duong trung tuyen MOcua tam giac MNP lay OS=OM.
1,tinh do dai tam giac MIK
2,C/M I,S,K thang hang
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 duong thang d va doan thang ab nam ngoai duong thang d , ve diem a' doi xung voi diem a qua d va diem b' doi xung voi siem b qua d , lay bdiem c thuoc doan thang ab , ve diem c' doi xung voi c qua d . chung minh ab=ab'
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 tam ABC nhon duong cao AH . goi M , N la luot la trung diem cua AB va AC. qua B ke duong thang song song voi AC cat tia NM tai D.
a) chung minh tu giac BDNC la hinh binh hanh.
b) tu giac BDNH la hinh gi? vi sao ?
c) goi K la diem doi xung voi H qua N. Qua N ke duong thang song song voi HM cat DK tai E. Chung minh rang DE=2 . EK.