1.[a/(ab-b²)-b/(a²-ab)]÷[1+(a²+b²)/(2ab)],其中a=-1+根号3,b=-1-根号32.解关于x的方程:(x+1)/(a+b)+(x-1)/(a-b)=2a/(a²-b²) (a≠0)3.已知A·B=2x+8,A=3x/(x-2)-x/(x+2),求B
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![1.[a/(ab-b²)-b/(a²-ab)]÷[1+(a²+b²)/(2ab)],其中a=-1+根号3,b=-1-根号32.解关于x的方程:(x+1)/(a+b)+(x-1)/(a-b)=2a/(a²-b²) (a≠0)3.已知A·B=2x+8,A=3x/(x-2)-x/(x+2),求B](/uploads/image/z/5201478-54-8.jpg?t=1.%5Ba%2F%28ab-b%26%23178%3B%29-b%2F%28a%26%23178%3B-ab%29%5D%C3%B7%5B1%2B%28a%26%23178%3B%2Bb%26%23178%3B%29%2F%282ab%29%5D%2C%E5%85%B6%E4%B8%ADa%3D-1%2B%E6%A0%B9%E5%8F%B73%2Cb%3D-1-%E6%A0%B9%E5%8F%B732.%E8%A7%A3%E5%85%B3%E4%BA%8Ex%E7%9A%84%E6%96%B9%E7%A8%8B%EF%BC%9A%28x%2B1%29%2F%28a%2Bb%29%2B%28x-1%29%2F%28a-b%29%3D2a%2F%28a%26%23178%3B-b%26%23178%3B%29+%28a%E2%89%A00%293.%E5%B7%B2%E7%9F%A5A%C2%B7B%3D2x%2B8%2CA%3D3x%2F%28x-2%29-x%2F%28x%2B2%29%2C%E6%B1%82B)
1.[a/(ab-b²)-b/(a²-ab)]÷[1+(a²+b²)/(2ab)],其中a=-1+根号3,b=-1-根号32.解关于x的方程:(x+1)/(a+b)+(x-1)/(a-b)=2a/(a²-b²) (a≠0)3.已知A·B=2x+8,A=3x/(x-2)-x/(x+2),求B
1.[a/(ab-b²)-b/(a²-ab)]÷[1+(a²+b²)/(2ab)],其中a=-1+根号3,b=-1-根号3
2.解关于x的方程:(x+1)/(a+b)+(x-1)/(a-b)=2a/(a²-b²) (a≠0)
3.已知A·B=2x+8,A=3x/(x-2)-x/(x+2),求B
1.[a/(ab-b²)-b/(a²-ab)]÷[1+(a²+b²)/(2ab)],其中a=-1+根号3,b=-1-根号32.解关于x的方程:(x+1)/(a+b)+(x-1)/(a-b)=2a/(a²-b²) (a≠0)3.已知A·B=2x+8,A=3x/(x-2)-x/(x+2),求B
1.[a/(ab-b²)-b/(a²-ab)]÷[1+(a²+b²)/2ab],其中a=-1+根号3,b=-1-根号3
=[a/b(a-b)-b/a(a-b)]÷(2ab+a²+b²)/2ab
=(a²-b²)/ab(a-b)÷(a+b)²/2ab
=2/(a+b)
=2/(-1+√3-1-√3)
=2/(-2)
=-1
2.解关于x的方程:
(x+1)/(a+b)+(x-1)/(a-b)=2a/(a²-b²) (a≠0)
(x+1)(a-b)+(x-1)(a+b)=2a
xa+a-xb-b+xa-a+xb-b=2a
2xa=2a+2b
∴x=(a+b)/a
3.已知A·B=2x+8,A=3x/(x-2)-x/(x+2),求B
∵A·B=2x+8,
∴B=(2x+8)÷A
=(2x+8)÷[3x/(x-2)-x/(x+2)],
=(2x+8)÷(3x²+6x-x²+2x)/(x-2)(x+2)
=2(x+4)*(x-2)(x+2)÷(2x²+8x)
=(x-2)(x+2)/x
∴B=(x²-4)/x