cho goc aob = 60 độ tren cung mot nua mat phang bo chua tia oa ve tia ox vuong goc voi tia ob . Tren nua mat phang con lai oy vuong goc tia oa
a Chung minh aox = boy
b ve tia ox' la tia doi cua tia ox hãy tinh x'oy
cho tam giac ABC co goc a nhon M la trung diem cua BC tren tia doi cua tia MA lay diem D sao cho MA=MD chung minh BAM=CDM chung minh AC=AD tren nua mat phang Bo AB ko chua C ve tia Ax vuong goc AB tren nua mat phang bo AC ko chua B ve tia Ay vuong goc AC tren tia Ax lay Diem P sao cho AP=AB tren tia Ay lay diem Q sao cho AQ=AC chung minh tam giac ABQ= tam giac APC goi giao diem cua DA va PQ la K chung minh AK vuong goc PQ
cho tam giac ABC co goc A nhở hơn 90 do tren mat phang bo AB co chua diem B ve AE VUONG AC va AE =AC goi M la trung diem cua doan MA diem H sao cho MA =MH chung minh tam giac ABE = TAM GIAC ADC chung minh BH=CA chung minh GOC BAH = GOC ADE
Cho tam giác ABC co A nho hopn 90 do . Tren nua mat phang bo AB khong chua diem C, ve doan thnag AD vuong goc Ab va AD=AB.Tran nua mat phang bo ac khong chua B, ve doan thnag Ae vuong goc AC va ae= AC. Goi F la trung diem cua BC. Chung minh
a. D,A,E khong thang hang va BA khong vuong goc voi DE
lay diem O batcky tren xy. tren nua mat phang bo xy, ve tia Ozcsao cho goc xoz = 50 do. tren tia Oy, lay diem B. tren nua mat phang bo xy chua tia Oz , ve Bt sao cho goc tBy= 130 do :
a) chung minh Oz song song Ot
b) ve tia Om va Bn lan luot la tia phan giac cua goc xoz va goc xbt. chung minh Om song song Bn
Cho ∆ABC vuong tai A. Tia phan giac cua goc ABC cat canh AC tai D.
a, tinh AB neu AC =6cm, BC= 7,5 cm
b, tren tia doi cua tia BA lay diem N sao cho BN=BC. C/m BD//CN
C/m rang 1/AD>1/DC
Bai 2:
Tren mat phang toa do Oxy cho 2 diem B(1;2) va C(3;1). Tinh goc BCO
Cho goc xOy = 90 trong goc xOy ve tia OC,OD sao cho aOc=bOd=60 voi a thuoc ox va b thuoc oy
a)tinh so do cua goc aod,doc,cob
b)tren nua mat phang bo oa co chua tia ob ve tia oe sao cho ob la phan giac cua goc doe
chung to OE vuong goc OC
Cho tam giac ABC .goc A {90* . tren nua mat phang bo AB ko chua diem C, ve Ax vuomg goc voi AB, tren do lay D sao choAD=AB .tren nua mat phang bo AC, ko chua diem B ,ve Ay tren do lay E sao cho AE=AC a cmr BE=CD b duong thang AC va ED co vuong goc voi nhau ko?
Cho∆ ABC vuong tai A. Ke AH vuong goc voi BC tai H tren nua mat phang bo BC ko chua diem A lay diem K sao cho BK vuong goc voi BC va BK = AH.1 chung minh ∆ABH= ∆KHB
So sanh ACB va BKH.
Chung minh KH vuong goc AC.