实数a,b满足(a^2+1)(b^2+1)=3(2ab-1),则b(1/a-a)的值是A,0 B,1 C,-1 D -2

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实数a,b满足(a^2+1)(b^2+1)=3(2ab-1),则b(1/a-a)的值是A,0B,1C,-1D-2实数a,b满足(a^2+1)(b^2+1)=3(2ab-1),则b(1/a-a)的值是A

实数a,b满足(a^2+1)(b^2+1)=3(2ab-1),则b(1/a-a)的值是A,0 B,1 C,-1 D -2
实数a,b满足(a^2+1)(b^2+1)=3(2ab-1),则b(1/a-a)的值是
A,0 B,1 C,-1 D -2

实数a,b满足(a^2+1)(b^2+1)=3(2ab-1),则b(1/a-a)的值是A,0 B,1 C,-1 D -2
a^2b^2+a^2+b^2+1=6ab-3
移项 a^2b^2-4ab+4+a^2-2ab+b^2=0
所以 (ab-2)^2+(a-b)^2=0
所以 ab=2 a=b a^2=2
b(1/a-a)=ab/(1-a^2)=-2

1楼的好,选D