Cho tam giac ABC vuong tai A co goc B =55 do. Goi M la trung diem cua AC. Tren tia doi cua tia MB lay diem D sao cho MD=MB
a. Tinh so do cua goc ACB
b. Chung minh tam giac AMB va tam giac DMC bang nhau
c. Chung minh CD vuong goc voi AC
so sanh cac canh cua tam giac ABC biet goc A =55 do, goc B= 75 do
cho goc xOy = 110 do va tia Oz la tia phan giac cua goc do. tren tia Ox lay diem M, dung tia Mt nam trong goc do sao cho OMt = 70 do
a, chung minh Mt \\ Oy
b, goi Mt' la tia doi cua Mt, Mn la tia phan giac cua goc OMt'. chung minh Mn \\Oz
1 cho tam giac abc can a , goc a bang 40 do lay d khac phia b so voi ac thoa man goc cad bang 60 do goc cad bang 80 do chung minh bd vuong goc voi ac
2 cho tam giac abc vuong can a . d la diem bat ki tren ab. tren nua mat phang bo ab tu c ve tia bx sao cho goc abx bang 135 do. duong thang vuong goc voi dc ve tu d cat bx o e . chung minh tam giac dec vuong can
3 cho tam giac abc can b goc abc bang 80 do , i la diem trong tam giac sao cho goc iac bang 10 do, ica bang 30 do tinh goc abi
4 cho tam giac abc can a co goc a bang 100 do , bc =a, ac =b ve phia ngoai tam giac abc ve tam giac abd can d co goc adb bang 140 do tinh ch vi tam giac adb theo a,b
ve hinh gium minh voi , xin mn day
Cac ban hay giai cac bai toan sau day:
1. Biet d dai ba canh cua 1 tam giac lan luot ti le voi 3,4,5 va co chu vi bang 96 cm . Tinh do dai 3 canh cua tam giac do.
2. Cho tam giac ABC vuong tai A . Goi M la trunng diem cua AC . Tren tia doi cua tia MB lay diem D sao cho MB = MD
A. Biet ABC =55° . Tinh goc ACB
B . Chung minh tam giac ABM = tam giac CDM
C. Chung minh ABC = CDA
3. Me dua An 2.800.000 de dong tien dien , nuoc , internet lan luot theo ti le 7;5;2 . Ban hay giup An tinh tien dien , nuoc , internet ?.
4. Cho tam giac ABC vuong tai A ( AB < AC ) , goi M la trung dim cua AC . Tren tia doi cua MB lay diem D sao cho MB = MD
A. Chung minh tam giac ABM = tam gac CMD
B. Chung minh DC song song AB
C. Tinh goc CDM
D. Chung minh DC vuong goc voi AC.
cho tam giac ABC (AB<AC) tren tia BA lay diem D sao cho BD=BC Noi C voi D tia phangiac cua goc B cat canhAC va CD thao thu tu o E va I
a) Chung minh tam giac BID = tam giac BIC
b)Chung minh ED=EC
c) Ke AH vuong goc voi CD tai H Chung minh AH // BI
d) Biet so do goc ABC bang 70 do tinh so do goc BCD va DAH
cho tam giac ABC co goc A - goc B = 90 do . tu goc C ke CH vuong goc voi AB . Chung minh goc HAC = goc BCH
cho 2 duong thang AB va CD cat nhau tai O, biet goc AOC=55 do tinh goc BOC;goc BOD va goc DOA
cho tam giac ABC can co goc B =goc c =50 do goi k la diem trong tam giac sao cho goc KBC =10 do goc KCB =30 do chung minh tam giac ABK va tinh goc BAK