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先化简,再求值先化简,再求值{1-x/x+1-1}÷2x/x²-1 ,其中x=1-√2
人气:249 ℃ 时间:2020-04-06 14:22:13
解答
[(1-x)/(x+1)-1]÷2x/(x²-1)=[(1-x-x-1)/(x+1)]÷2x/(x²-1)=-2x/(x+1)÷2x/(x²-1)=-2x/(x+1)*(x²-1)/2x=-(x²-1)/(x+1)=-(x-1)(x+1)/(x+1)=-(x-1)=1-x=1-(1-√2 )=1-1+√2 =√2
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