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Ve hinh giup mk
Cho dt (O;R) co duog kinh BC.goi A la duog nam tren dt sao cho AB>AC.tren tia doi AC lay diem P sao cho AP =AB dthag vuog goc ha tu P xuog BC cat BA o D va cat BC tai H
Cho dt (O;R) co duog kinh BC.goi A la duog nam tren dt sao cho AB>AC.tren tia doi AC lay diem P sao cho AP =AB dthag vuog goc ha tu P xuog BC cat BA o D va cat BC tai H
a) cm tu giac ACHD noi tiep
b) cm PC × PA = PH × PO
c) PB cat tam O tai i.cm i,C,D thang hang
d) cho goc ABC=30 độ.hay tinh theo R dien tich cua hinh tron ngoai tiep tu giac ACHD
((Ai tra loi cau hoi nay thi hay ve hinh lun.nho giai ro rang va chi tiet vao))
Cho dt (O;R) co duog kinh BC.goi A la duog nam tren dt sao cho AB>AC.tren tia doi AC lay diem P sao cho AP =AB dthag vuog goc ha tu P xuog BC cat BA o D va cat BC tai H
a) cm tu giac ACHD noi tiep
b) cm PC × PA = PH × PO
c) PB cat tam O tai i.cm i,C,D thang hang
d) cho goc ABC=30 độ.hay tinh theo R dien tich cua hinh tron ngoai tiep tu giac ACHD
((Ai tra loi cau hoi nay thi hay ve hinh lun.nho giai ro rang va chi tiet vao)) tra loi cai
Cho dt (O;R) co duog kinh BC.goi A la duog nam tren dt sao cho AB>AC.tren tia doi AC lay diem P sao cho AP =AB dthag vuog goc ha tu P xuog BC cat BA o D va cat BC tai H
a) cm tu giac ACHD noi tiep
b) cm PC × PA = PH × PO
c) PB cat tam O tai i.cm i,C,D thang hang
d) cho goc ABC=30 độ.hay tinh theo R dien tich cua hinh tron ngoai tiep tu giac ACHD
((Ai tra loi cau hoi nay thi hay ve hinh lun.nho giai ro rang va chi tiet vao))
Giai giup minh cau d, cua bai nay nha1.Cho (O;R) co duong kinh BC, tren doan thang OB lay H sao cho OHHB. Ve day AF cua (O) vuong goc voi BC tai Ha, chung minh tam giac ABC vuong tai A va HB.HCHA.HFb, Tren AH lay D sao cho ADDH. Tia BD cat (O) tai E. chung minh AB2BD.BEc, tiep tuyen tai B cua (O) cat tia CA tai M. Goi N la hinh chieu cua O tren AB. chung minh goc BMNgoc OMC.d, qua F ve duong thang song song BC cat tia AB tai P. Goi K la trung diem cua HC. chung minh PH vuong goc AK.
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Giai giup minh cau d, cua bai nay nha
1.Cho (O;R) co duong kinh BC, tren doan thang OB lay H sao cho OH<HB. Ve day AF cua (O) vuong goc voi BC tai H
a, chung minh tam giac ABC vuong tai A va HB.HC=HA.HF
b, Tren AH lay D sao cho AD<DH. Tia BD cat (O) tai E. chung minh AB2=BD.BE
c, tiep tuyen tai B cua (O) cat tia CA tai M. Goi N la hinh chieu cua O tren AB. chung minh goc BMN=goc OMC.
d, qua F ve duong thang song song BC cat tia AB tai P. Goi K la trung diem cua HC. chung minh PH vuong goc AK.
cho duong tron(O;R)tren(O)lay hai diem B va C sao cho goc BOC=90do.cac tiep tuyen tai B va C cua (O)cat nhau tai A. M la mot diem nam tren duong tron ( O) (M va A cumg nam tren mot nua mat phang bo BC).Tiep tuyen tai M cua duong tron (O) cat AB,AC tai Dva E.Tinh goc DEC
BAn nao biet lam giup minh cau c va cau d1. Cho (O) va 1 diem A nam ngoai (O). Tu A ve 2 tiep tuyen AB,AC cua (O) (B,C la tiep diem). Goi H la giao diem cua OA va BCa, chung minh OA vuong goc BC tai Hb, Tu B ve duong kinh BD cua (O), duong thang AD cat O) tai E, chung minh AE.AD AH.AOc, Qua O ve duong thang vuong goc AD tai K va cat BC tai F. chung minh FD la tiep tuyen cua (O)d, Goi I la trung diem canh AB, Qua I ve duong thang vuong goc AO tai M va duong thang nay cat DF tai N. chung minh NDN...
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BAn nao biet lam giup minh cau c va cau d
1. Cho (O) va 1 diem A nam ngoai (O). Tu A ve 2 tiep tuyen AB,AC cua (O) (B,C la tiep diem). Goi H la giao diem cua OA va BC
a, chung minh OA vuong goc BC tai H
b, Tu B ve duong kinh BD cua (O), duong thang AD cat O) tai E, chung minh AE.AD = AH.AO
c, Qua O ve duong thang vuong goc AD tai K va cat BC tai F. chung minh FD la tiep tuyen cua (O)
d, Goi I la trung diem canh AB, Qua I ve duong thang vuong goc AO tai M va duong thang nay cat DF tai N. chung minh ND=NA
cho dt (O) duong kinh AB va MN vuong goc voi nhau . tren tia doi cua MA lay diem C khac M . ke MH vuong goc voi BC . ke MB cat oh tai E
a) CM : BOMH la tu giac noi tiep
b) CM : HO la phan giac goc MHB
c) CM : ME x MH = BE x HC
(help me pls)
Cho duong tron tam (o)ve day cun BC ko di qua tam tren tia đối của tia BC lay diem M bat ki duong thang di qua M cat duong tron(o) lan luot tai 2 diem N va P (N nam giua M,P) sao cho cung AN bang cung AP hai day cung AB,Ac cat NP lan luot tai D,E
a,cm BDEC noi tiep
b,cm MB.MC=MN.MP
c,ban kinh OA cat NP tai K. Cm MK^2>MB.MC