cho tam giac abc co a = 30do d nam giua a va c sao cho ad = \(\sqrt{2}\)bc = 2 cm tinh goc cbd
Cho tam giac ABC can tai A,goc A=30do;BC=2.Tren canh AC lay diem D sao cho AD=√2. a)Tinh goc ABD b)So sanh 3 canh cua tam giac DBC
cho duong tron (O;R) va 2 diem B , C thuoc duong tron sao cho BC=R\(\sqrt{3}\)
a/Xac dinh A tren duong tron sao cho tam giac ABC co 3 goc nhon va AE la duong kinh cua tia phan giac goc BAD ( AD la tia phan giac cua goc BAC , D nam tren duong tron (O)
b/Tinh so do cac goc tam giac ABC
c/Tinh AC,AB theo R
Cho goc xOy nhon . Tren Ox lay 2 diem B ; D tren tia Oy lay hai diem B;D sao cho OA = OB; OC =OD [ A nam giua O va C ; B nam giua O va D] a.chung minh tam giac OAD = tam giac OBC b. so sanh goc CAD va goc CBD
Cho tam giac ABC co goc A lon hon 90 do. Ke DA vuong goc voi AB va DA=AB ( tia AD nam giua 2 tia AB,AC).Ke AE vuong goc voi AC va AE=AC ( tia AE nam giua 2 tia AB,AC). Ke AH vuong goc voi BC va keo dai cat De tai M. CM MD=ME
cho tam giac abc co ab=3 ac=4 duong cao ah(h nam giua b va c va hb=9/16hc). a/ tinh tgB b/ ve phan giac ad, trung tuyen am cua tam giac abc, tinh dien tich MAC va ADM goc acb=a, goc amb=b chung minh (sina +cosa)^2=1+sinb
Cau 1: Cho tam giac ABC cuong tai A, AB=8cm; AC=15cm. Ve duong cao AH
a) chung minh AB^2= BH. BC
b) Tinh BH, CH, AH, BC
c) Ve phan giac AD cua tam giac ABC. Chung minh H nam giua B va D
d) Tinh ti so dien tich D HAC va D A.BC
Cau 2: Cho tam giac ABC vuong tai A, AB=5cm; Ac=12cm, ve duong cao AH va duong phan giac AD.
a) Tinh BC, BD
b) Chung minh D ACH: D ABC; tinh AH
c) Qua B ke duong thang vuong goc voi AB cat tia AD tai K. Chung minh AB.AD =AC. KD
.Cau 3: Cho tam giac ABC vuong A co AB = 5cm; AC=12cm. Ve dcao AH va pgiac AD cua goc BAC
a) Tih BC; BD
b) Chung minh D HAC : D ABC
c) Qua B ke duong vgoc voi BA cat AD tai k. Chung minh AB.AD= AC.KD
1,cho goc bet xOy. tren cung 1 nua mf bo xy,ve cac tia Oa,Ob sao cho xOa=m do, xOb=n do.tinh aOb
2, Cho tam giac ABC co goc A=80 do. Diem D nam giua B va C sao cho goc BAD = 20 do. Tren nua mf chua B co bo AC, ve tia Ax sao cho goc CAx= 25 do.tia nay cat AB o E.
a) chung to E nam giua D va C
b) tinh goc DAE
Bài 1 có nêu ra điều kiện m < n hay n < m ko bạn
Bai 1 cho goc XOY<90 do,lay A,B thuc Ox(A nam giua O va B)lay C,D thuoc Oy sao cho OA=OC,AB=CD
1)Tam giac OBD can
2)So sanh AD ba BC
3)Goi I la giao diem AD va BC tam gia IBDva tam giacIAC la cac tam giac gi
4)Chung minh tamgiaOAC=tam giacOCI
Bai 2 Cho tam giac ABC can tai A lay diem D thuo AB.tren tia doi cua tia CA lay CE=BD,DE cat BC o M
Chung minh M la trung diem DE
Bai 4Cho tam giac ABC nhon co goc A=60 do,hai duong phan giac BD va CF cat nhau tai I
1)Tinh goc BIC
2)IF la duong phan giac cua tam giac IBC
3)Chung minh+)tam giac BID=tam giac BIF
+)tam giac CID=tam giac CIF
ai biet lam bai nay thi giup minh nhanh len nhe minh dang can gap
cho tam giac ABC co AB=AC ,goc B= goc C va co goc A=50 do
a,tinh goc B va goc C
b,lay D thuoc AB,E thuoc AC sao cho AD=AE.chung minh DE //BC
a, Xét \(\Delta ABC\) có \(\widehat{B}=\widehat{C};\widehat{A}=50^0\)
\(\Leftrightarrow\widehat{B}=\widehat{C}=\dfrac{180^0-50^0}{2}=65^0\)\(\left(1\right)\)
b, Xét \(\Delta ADE\) có : \(AD=AE\)
\(\Leftrightarrow\widehat{D1}=\widehat{E1}=\dfrac{180^0-50^0}{2}=65^0\left(2\right)\)
Từ \(\left(1\right)+\left(2\right)\Leftrightarrow\widehat{B}=\widehat{D1}\)
mà đây là 2 góc đồng vị
=> đpcm