Cho tam giac ABC. Tren nua mat phang bo AB khong chua C ve tia AM sao cho goc MAB=ABC. Tren nua mat phang bo AC khong chua B ve tia AN sao cho goc NAC=ACB. Chung minh AM va AN la hai tia doi nhau.
Cho tam giac ABC. Tren nua mat phang bo AB khong chua C ve tia AM sao cho goc MAB=ABC. Tren nua mat phang bo AC khong chua B ve tia AN sao cho goc NAC=ACB. Chung minh AM va AN la hai tia doi nhau.
Bai nay thay minh yeu cau lam theo cach cua chuong 1 chu ko phai la chuong 2
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 B=C. Ve tia AD la tia doi cua tia AB. Tren nua mat phang bo AB chua C ve tia AM//BC. Chung minh AM la tia phan giac cua goc DAC
Cho tam giac ABC co B=C. Ve tia AD la tia doi cua tia AB. Tren nua mat phang bo AB chua C ve tia AM//BC. Chung minh AM la tia phan giac cua goc DAC
Ta có AM//BC
nên \(\widehat{DAM}=\widehat{B}\)(hai góc đồng vị) và \(\widehat{CAM}=\widehat{C}\)(hai góc so le trong)
mà \(\widehat{B}=\widehat{C}\)
nên \(\widehat{DAM}=\widehat{CAM}\)
hay AM là tia phân giác của góc DAC
cho tam giac ABC co goc C=40o. Tren canh AB lay diem M, tren nua mat phang bo AB co chua diem C ve tia Mx sao cho goc AMx=goc B
a) chung minh rang: Mx // BC
b) goi D la giao diem cua Mx va AC. lay N nam giua C va D. Tren nua mat phang bo AC ko chua B ve tia Ny sao cho goc CNy=goc C. chung minh rang: Mx // Ny
c) tinh so do goc MDC
giup mik vs T-T
Cho tam giac ABC co goc A < 90o ; AB = AC; AM la tia phan giac cua goc A (M thuoc BC)
a. CM goc B bang goc C
b. Tren cung mot nua mat phang bo AB khong chua diem C ke tia Ax vuong goc voi AB, tren nua mat phang bo AC khong chua diem B ke tia Ay vuong goc voi AC. Tren tai Ax va Ay lan luot lay 2 diem N va P sao cho AN=AP. CM rang BP=CN
c.CM NP song song voi BC
Tren duong thag a lay ba diem A,O,A'(O nam giua A va A').Ve tia OB sao cho AOB=45°,tren nua mat phang co bo la duong thang a khong chua tia OB ve tia OC sao cho AOC=90°
a.Goi OB' la tia phan giac cua goc A'OC.Chung minh rang:hai goc AOB va A'OB' la hai goc doi dinh
b,Tren nua mat phang co bo la duong thang a chua tia OB ve tia OD sao cho BOD=90°.Tinh so do goc A'OB'
Tren duong thang AA' lay diem O .Tren mot nua mat phang bo AA' ve tia OB sao cho goc AOB = 45o,tren nua mat phang con lai ve tia OC sao cho goc AOC = 90o.
a.Goi OB' la tia phan giac cua goc A'OC. Chung to rang hai goc AOB va A'OB' la hai tia doi dinh.
b. Tren nua mat phang bo AA' co chua OB ve OD sao cho goc BOD =90o. Tinh A'OD.
Cho Ox va Oy la hai tia doi nhau.Tren cung mot nua mat phang bo la duong thang xy ve hai tia Oz va Ot sao cho goc xOz=150 do;goc yOt=60 do.
a)Tinh so do goc xOt.
b)Chung to Oz la tia phan giac cua goc yOt.
c)Tren nua mat phang co chua tia Oz bo la duong thang xy ve tia Om sao cho goc zOm=90 do.Hoi tia Om co la tia phan giac cua goc xOt hay khong?Vi sao?
Kham khảo này :
https://imgur.com/LTMZXHU
https://imgur.com/O7e7GYo