x^2 + (y-1)^2 + (x-y)^2 = 1/3
x^2 + y^2-2y+1 + x^2-2xy+y^2 = 1/3
x^2+y^2-xy-y+1/3=0
x^2 - xy + 1/4y^2 + 3/4y^2-y+1/3=0
(x-y/2)^2 + 3/4(y^2-4/3y+4/9)=0
(x-y/2)^2 + 3/4(y-2/3)^2=0
x-y/2=0,y=2/3
即:x=1/3,y=2/3
滿足方程x2+ ( y-1)2+ ( x-y)2= 的一切實(shí)數(shù)對(duì)(x,y)= .
滿足方程x2+ ( y-1)2+ ( x-y)2= 的一切實(shí)數(shù)對(duì)(x,y)= .
數(shù)學(xué)人氣:917 ℃時(shí)間:2020-04-17 22:46:24
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