先化简,再求值:(1-3/x+2)/x^2-2x+1/x+2,其中x=1+根号2。
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原式=[(x+2-3)/(x+2)]/[(x-1)²/(x+2)]
=(x-1)/(x+2)*(x+2)/(x-1)²
=1/(x-1)
=1/(1+√2-1)
=√2/2
=(x-1)/(x+2)*(x+2)/(x-1)²
=1/(x-1)
=1/(1+√2-1)
=√2/2
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