Cho tu giac ABCD co:
B + C = 2000
B + D = 1800
C + D = 1200
a) Tinh cac goc cua tia phan giac
b) Cac tia phan giac cua goc A va goc B cat nhau tai I. Chung minh: \(\widehat{AIB}=\frac{\widehat{C}+\widehat{D}}{2}\)
Cho tu giac ABCD co goc A = 1000, B = 1200 , cac tia phan giac cua goc C va D cat nhau tai E.
a) Tinh CED
b) Cac tia phan giac cua goc ngoai tai dinh C va D cat nhau tai F. Chung minh: \(\widehat{CED}+\widehat{CFD}=180^0\)
cho tu giac abcd biet goc a: goc b: goc c: goc d =4:3:2:1
a) tinh cac goc cua tu giac abcd
b) cac tia phan giac cua goc c va goc d cat nhau tai e. cac duong phan giac cua goc ngoai tai ca dinh c va d cat nhau tai f. tinh goc ced va goc cfd
a) Ta có: \(\frac{\widehat{A}}{4}=\frac{\widehat{B}}{3}=\frac{\widehat{C}}{2}=\frac{\widehat{D}}{1}\)
Áp dụng t/c dãy tỉ số bằng nhau ta được:
\(\frac{\widehat{A}}{4}=\frac{\widehat{B}}{3}=\frac{\widehat{C}}{2}=\frac{\widehat{D}}{1}=\frac{\widehat{A}+\widehat{B}+\widehat{C}+\widehat{D}}{4+3+2+1}=\frac{360}{10}=36\)
\(\Rightarrow\widehat{A}=144^0;\widehat{B}=108^0;\widehat{C}=72^0;\widehat{D}=36^0\)
Cho tu giac ABCD co O la giao diem cac tia phan giac cua cac goac C va D
a Ting COD biet goc A bang 120 ggoc B bang 90
b Tinh Cod theo A va B
cCac tia phan gia cua cac goc A va B cat nhau tai I va cat cac tia phan giac cac goc C va D thu tu tai E va F. C/m rang tu giac OEIF co cac goc doi bu nhau
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Cho tu giac ABCD co A = 1000 , B = 1200 , cac tia phan giac cua C va D cat nhau tai E
a) Tinh goc CED
b) Cac tia phan giac cua goc ngoai tai dinh C va D cat nhau tai F. Chung minh: CED + CFD = 1800
Cho tu giac ABCD co goc A-goc B=50 do .Cac tia phan giac cua goc C va goc D cat nhau tai I va goc CID=115 do. Tinh cac goc A va B
Cho tu giac ABCD, biet goc B+ goc C = 2000., goc B+goc D=1800, goc C+goc D= 1200
a) Tinh cac goc cua tu giac
b) Cca tia phan giac cua goc A va goc B cat nhau tai I. CM: goc AIB = (goc C+ goc D)/2
Cho tu giac ABCD biet so do cua cac goc A ,B,C,D ti le thuan voi5,8,13,10 .a, Tinh so do cac goc cua tu giac ABCD . b, Keo dai hai canh AB va DC cat nhau o E , keo dai hai canh AD va BC cat nhau o F . Hai tia phan giac cua cac goc AED va goc AFB cat nhau o O . phan giac cua goc AFB cat cac canh CD va AB tai M va N . Chung minh O la trung diem cua doan MN
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