X+Y+Z=8 X*X+Y*Y+Z*Z=24求证XYZ均属于 「4/3,4」
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X+Y+Z=8X*X+Y*Y+Z*Z=24求证XYZ均属于「4/3,4」X+Y+Z=8X*X+Y*Y+Z*Z=24求证XYZ均属于「4/3,4」X+Y+Z=8X*X+Y*Y+Z*Z=24求证XYZ均属
X+Y+Z=8 X*X+Y*Y+Z*Z=24求证XYZ均属于 「4/3,4」
X+Y+Z=8 X*X+Y*Y+Z*Z=24
求证XYZ均属于 「4/3,4」
X+Y+Z=8 X*X+Y*Y+Z*Z=24求证XYZ均属于 「4/3,4」
y+z=8-x,
y^2+z^2=24-x^2;
由不等式:(y+z)^2≤2(y^2+z^2)
将以上两式代入得:
(8-x)^2≤2(24-x^2)
化为:3x^2-16x+16≤0,解得4/3≤x≤4.
同理可得,4/3≤y≤4,4/3≤z≤4
做个记号,思考一下
(x+y-z)(x-y+z)=
X+Y+Z=?
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