DA^2=(x-0)^2+(y-1)^2+(0+1)^2=x^2+y^2-2y+2
DB^2=(x+1)^2+(y-0)^2+(0-1)^2=x^2+2x+y^2+2
DC^2=(x-0)^2+(y+1)^2=x^2+y^2+2y+1
DA^2=DB^2=DC^2
получу систему уравнений
1)DA^2=DB^2
x^2+y^2-2y+2=x^2+2x+y^2+2
-2y=2x; y=-x
2)DB^2=DC^2
x^2+y^2+2x+2=x^2+y^2+2y+1
2x+2=2y+1
2y=2x+1
y=x+0.5
-x=x+0.5
2x=-0.5
x=-0.25
Ответ D(-0.25;0.25;0)
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Verified answer
DA^2=(x-0)^2+(y-1)^2+(0+1)^2=x^2+y^2-2y+2
DB^2=(x+1)^2+(y-0)^2+(0-1)^2=x^2+2x+y^2+2
DC^2=(x-0)^2+(y+1)^2=x^2+y^2+2y+1
DA^2=DB^2=DC^2
получу систему уравнений
1)DA^2=DB^2
x^2+y^2-2y+2=x^2+2x+y^2+2
-2y=2x; y=-x
2)DB^2=DC^2
x^2+y^2+2x+2=x^2+y^2+2y+1
2x+2=2y+1
2y=2x+1
y=x+0.5
-x=x+0.5
2x=-0.5
x=-0.25
Ответ D(-0.25;0.25;0)