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先化简,再求值:(x-x/x+1)÷(1+1/x²-1),其中x=根号2 +1
人气:315 ℃ 时间:2019-11-08 14:06:47
解答
(x-x/x+1)÷(1+1/x²-1)
=(x²+x-x)/(x+1) ÷ (x²-1+1)/(x²-1)
=x²/(x+1) × (x²-1)/x²
=x-1
=根号2 +1 -1
=根号2
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