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一道数学计算题:先化简,再求值
((1/x-y)+(1/x+y))/(2y/x^2-2xy+y^2),其中x=1+根2,y=1-根2.、
人气:345 ℃ 时间:2020-02-03 17:22:49
解答
[1/(x-y)+1/(x+y)]/[2y/(x^2-2xy+y^2)]={[(x+y)+(x-y)]/[(x+y)(x-y)]}*(x^2-2xy+y^2)/2y={2x/[(x+y)(x-y)]}*{(x-y)^2/2y}=(x/y)*(x-y)/(x+y)x=1+根号2,y=1-根号2,x-y=2倍根号2,x+y=2,代入原式=[(1+根号2)/(1-根号...
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