Cho tam giac abc va AH la duong cao. Goi M va N lan luot la hai Trung diem cua HB va HC. Tu M va N ve hai duong thang cung vuong goc voi BC va Lan luot cat 2 canh AB, AC tai E,F. Chung Minh
a) tu giac EMNF la hinh Chu nhat
b)tam giac AEF = tam giac HEF
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
Cho tam giac abc can tai A co 2 duong trung tuyen BM va CN
a)Chung Minh tu giac bcnm la hinh thang can
b)ke duong thang di qua m va song song voi CN cat BC tai D . CM tu giac NMDC la Hinh binh hanh
c) CM tam giac BMD la tam giac can va BD=3MN
d) goi AH la duong cao cua tam giac ABC va Q la diem doi xung voi H qua N. CM tu giac AHBQ la Hinh chu nhat
e) goi k la Hinh chieu cua H tren AC va I la Trung diem cua HK. Chung Minh AI vuong goc voi BK
Qua dinh A cua hinh vuong ABCD ta ke 2 duong thang Ax,Ay vuong goc voi nhau. Ax cat canh BC tai diem P va cat tia doi cua tia CD tai diem Q. At cat tia doi cua tia tai diem R ,cat tia doi cua tia DC tai diem S. Chung minh cac tam giac APS, AQR CAN.
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)
bai 1 cho hinh thang can abcd va ab<cd ke ac duong cao ah va bk ua hinh thang goi m la trung diem ad va n la trung diem bc m va n lan luot cat bd tai e va ac tai d biet ab =4cm cd = 10 cm tinh ef
bai2 cho tam giac abc can tai a co ab>bc 2 dg trung tuyen ad va be duong thang qua e // bc cat ab tai f goi i va k lan luot la trung diem bf va ce biey ik = 7,5 ad= 12 tinh bcc va tinh chi vi hinh thang
bai 3cho tu giac abcd co goc a = goc d , goc b + goc c = 180 goi m , n theo thu tu la trung diem bc va ad a) cm abd la hinh vuong b) cm am = dm c) cho ab = 3cm ad= 4m bc= 5cm tinh mn
GIUP MINK VS
THANKS NHIEUUUUUUUUUU LAM
Cho tu giac abcd la hinh thang co day lon ab bang 9 cm day be cd= 3cm ad= 3cm va goc adc =120°. Goi m,n lan luot la trung diem cua ab va cd. Goi i la trung diem cua mn. Ci keo dai cat ab tai e. Chung minh tu giac amnd la hinh thang can.
Chung minh tu giac emcn la hinh chu nhat
Giai ho minh bai nay minh cn ngay
Bai 1 cho tam giac ABC cac trung tuyen BM ,CM cat nhau tai G Goi P la diem doi xung voi M qua G goi Q la diem doi xung voi N qua G CM
a tu giac MNPQ la hinh gi vi sao
b neu tam giac ABC can tai A thi tu giac MNPQ la hinh gi vi sao
Bai 2 cho tam giac ABC M la diem bat ky tren BC Qua M ke duong thang song song voi AC cat AB tai D Qua M ke duong thang song song voi AB cat AC tai E goi I la trung diem cua AM Cm
a 3 diem D,E,Ithang hang
b khi M di chuyển trên BC thì I di chuyển trên đường nào
Bai 3 cho tam giac nhon ABC truc tam H va giao đường trung truc la diem O goi P,Q,N theo thu tu trung diem cua Ab,AH,AC CM
a tu giac OPQN la hinh binh hanh
btam giac ABC can co them dieu kien gi de tu giac OPQN la hinh chu nhat
cho hinh chu nhat ABCD co O la giao diem cua hai duong cheo.Lay mot diem E nam giua hai diem O va B. Goi F la diem doi xung voi diem A qua E va I la trung diem cua CF.
a,chung minh tu giac OEFC la hinh thang.
b, tu giac OEIC la hinh gi
c, ve FH vuong goc voi BC tai H, FK vuong goc voi CD tai K. chung minh I la trung diem cua doan thang HK..
d, chung minh ba diem E,H.Kthang hang