chung minh cac dang thuc sau:
a,(-a^5.(a^5))^2+(-a^@.(-a^2))^5=0
b,(-1)^n.a^n+k=(-a)^n.a^x
Cho tam giac ABC can tai A .BM va CN la 2 duong trung tuyen BM cat CN tai K
a,Chung minh tm giac BNC =tam giac CMB
b,Chung minh tam giac BKC can tai K
c, Chung minh BC//MN
Cho Tam Giac Can ABC can tai A (AB=AC). Goi D, E lan luot la trung diem cua AB va AC. a) chung minh tam giac ABE=tam giac ACD. b)chung minh BE=CD. c) Goi K la giao diem cua BE va CD. chung minh tam giac KBC can tai K
cho tam giac ABC ,Mla trung diem cua BC lay diem E sao cho ME=MA chung minh rang
a) AC=EB va AC //BE
b) coi D la mot diem cua AC, K la mot 1 diem cua EB sao cho AD=EK chung minh D,M,K thang hang
Cho tam giac ABC,goi M,N lan luot la trung diem cua AB,AC.Tren tia doi cua tia MC va NB lay tuong ung 2 ciem I va K,sao cho MI=MC,NB=NK
a)Chung minh AI=BC=AK
b)chung minh AI=BC va AK // BC
c)chung minh I,A,K thang hang
3/1/2-(x-1/3)=(-2)^2014:2^2013
1,5:1/8|x|=√64:2
3/1/2-2/3:(1x-2)=1/1/2
-3/|5-3x|=√18/-6
Cho ∆ABC co goc A=90°, tu diem K tren canh BC (K khac B, K khac C), KH vuong goc voi AC (H€AC). Tren tia doi cua tia HK lay diem I sao cho HI=HK. Chung minh:
a,AI=AK
BAK=AIK
Goc ABC= gocCIK
cho tam giac ABCvuong tai A .goi K La trung diem cua AC tren tia doi cua tia KB,lay diem H sao cho KH=KB
a,chung minh tam ABK =tam giac CHK
b,chung minh CH song song AB
c,chung minh AH=BC
Cho k2 = a.c Chung minh a/c=(a+2004b)2 =(b+2007c)2
Cho tam giac ABC co goc A = 60 do . Cac duong phan giac BD va CE cat nhau tai I . Tren canh BC lay M sao cho BM = BE . a) Chung minh tam giac MID can
b) ve duong thang vuong goc voi BI tai B va vuong goc voi CI tai C , chung cat nhau o K . CMR : 3 diem A,I,K thang hang