... cỏc s nguyờn dng x, y, z tha ng thi hai iu kin x y 2011 m = (1) , ú m, n l cỏc s nguyờn tha Ta cú y z 2011 n n > 0, (m, n) = (1) nx my = 2011 ( ny mz ) (2) 2011 l s vụ t v m, n, x, y, z l ... S GIO DC V O TO HI DNG P N V HNG DN CHM THI HC SINH GII TNH MễN TON LP THCS NM HC 2010 2011 + ỏp ỏn gm cú 05 trang + Thớ sinh lm theo cỏch khỏc ỳng cho im thnh ... dng nờn x x ; y y ; z z Suy x2 = x, y2 = y, z2 = z => x = y = z = x y 2011 = v x + y + z = (tha món) Khi ú y z 2011 Vy (x ; y ; z) = (1 ; ; 1) tha yờu cu bi toỏn b Tỡm nghim nguyờn ca phng...