Hinh chieu tren mat phang song song voi tru quay cua hinh tru la hinh gi?giup to voi can gap.
Cho hinh lang tru, ttam giac deu, xac dinh hinh dang hinh chieu dung, bang, canh. Neu dat mat day cua hinh lang tru deu song song voi mat day cua hinh lang tru deu song song voi mat phang chieu canh, thi hinh chieu canh la hinh gi
cho lang tru ABC.A'B'C' , tat ca canh a, biet goc tao boi canh ben va day la 60 do. hinh chieu H cua A len mat phang (A'B'C') trung voi trung diem cua B'C'.
a) tinh tan(BC,AC')
b) tinh tan ((ABA'B'), day))
Cho ∆ABC co AB=3cm, AC=4cm, DC=5cm, DE la tia phan giac cua ABC(E€AC)tren tia doi cua tia BC lay diem Q sao cho DQ=3cm
∆ABC la ∆ gi? Vi sao?
AQ song song voi BE
Goi I la hinh chieu cua A tren BC ke tia Qx song song voi AB tren tia Qx lay diem K sao cho QI=QK, chung minh 3 diem A,C,K thang hang
Giup minh voi!
tu ke hinh
a, AB = 3cm (gt) => AB2 = 32 = 9 cm
AC = 4cm (gt) => AC2 = 42 = 16 cm
=> AB2 + AC2 = 9 + 15 = 25 cm
BC = cm (gt) => BC2 = 52 = 25 cm
=> BC2 = AB2 + AC2
=> tam giac ABC vuong tai A (dinh li Pytago dao)
b, AB = 3cm (gt); BQ = 3cm (Gt)
=> AB = BQ
=> tam giac ABQ can tai B (dn)
=> goc BAQ = (180 - goc ABQ) : 2 (1)
co goc ABQ + ABC = 180 (kb)
=> goc ABC = 180 - goc ABQ
BE la phan giac cua goc ABC (gt) => goc EBA = goc ABC : 2 (dn)
=> goc EBA = (180 - goc ABQ) : 2 (2)
(1)(2) => goc EBA = goc BAQ ma 2 goc nay so le trong
=> EB // AQ (dl)
c, co tam giac BAQ can tai B (cau b)
=> goc BAQ = goc BQA (dl)
Qx // AB => goc BAQ = goc AQK (slt)
=> goc BQA = goc AQK (tcbc)
xet tam giac AQI va tam giac AQK co : AQ chung
QI = QK (gt)0
=> tam giac AQI = tam giac AQK (c - g - c)
=> goc AIQ = goc AKQ (dn)
goc AIQ = 90 do I la hinh chieu cua A (gt)
=> goc AKQ = 90
co goc AKQ + goc BAC = goc CAK ma goc BAC = 90 do tam giac ABC vuong tai A (cau a)
=> goc CAK = 180
=> C; A; K thang hang
tren doan thang AC lay B sao cho AB>BC. tran cung mot nua mat phang bo AB ve cac hinh vuong ABDE,BCFG . tren tia doi tia CF lay H sao cho FH=AB cac duong thang ke qua A song song voi GH va ke qua H song song voi AG cat nhau tai K
.a, tu giac AGHK la hinh gi ?
b,Tinh goc GCK
c, cmr 3 duong thang AC,CG,EF dong quy
1 be boi co dang hinh hop chu nhat co kich thuoc mat trong la chieu dai 20m chieu rong 7m va chieu cao 1,2m nguoi ta muon lat kin cac mat xung quanh va mat day ben trong cua be boi bang mot loai gach men trang hinh vuong canh 20cm vay can ....? gach men nhu the
GIUP MK VOI MK DANG GAP LAM NEN CHI CAM ON DC THOI
cho tam giac can ABC ( AB=AC ) . Tren đương thang di qua A va song song voi BC lây 2 diêm M va N sao cho A la trung diem cua MN ( M,B cung thuoc nua mat phang bo AC ) . Goi I , H , K lan luot la trung diem cua cac canh MB , BC va CN . a/ Tu giac MNCB la hinh gi ?
b/ Chung minh tu giac AIHK la hinh thoi
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
Cho tam giac ABC can tai A co hai duong Trung tuyen BM va CN
a) ke duong thang di qua M va song song voi CNcat BC tai D. CM tu giac NMDC la Hinh binh hanh
b)Chung Minh tam giac BMD can, goi K l a hinh chieu cua H tren AC va I la Trung diem cua HK, CM AI vuong goc voi BK
Mot hinh lap phuong co S 1 mat la 16dm2 > tinh canh cua hinh lap phuong do? minh rat gap giup minh voi
1 cạnh bằng 2 dm
cạnh 1 = 2 dm nha
ht