先化简,再求值:(1/(x+1)+(x^2-2x+1)/(x^2-1)/(x-1)/(x+1),其中x=3

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查看11 | 回复3 | 2013-1-9 22:04:39 | 显示全部楼层 |阅读模式
1/(x+1)+(x^2-2x+1)/(x^2-1)/(x-1)/(x+1)=1/(x+1)+(x-1)2/(x+1)(x-1)×(x+1)/(x-1)=1/(x+1)+1=(x+2)/(x+1)当x=3时原式=5/4[1/(x+1)+(x^2-2x+1)/(x^2-1)]/(x-1)/(x+1)=[1/(x+1)+(x-1)2/(x+1)(x-1)]×(x+1)/(x-1)=1/(x-1)+1当x=3时原式=1/2+1=3/2...
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千问 | 2013-1-9 22:04:39 | 显示全部楼层
你给的题就不明白,用手机把原题拍下来,补充到后面.这题这么简单,唉........检验正确答案你就直接代入,就知道了.式子本身就极为简单....
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千问 | 2013-1-9 22:04:39 | 显示全部楼层
[1/(x+1)+(x^2-2x+1)(x^2-1)]/[(x-1)/(x+1)]=[1/(x+1)+(x-1)^2/(x-1)(x+1)]/[(x-1)/(x+1)]=[1/(x+1)+(x-1)/(x+1)]*(x+1)/(x-1)=1/(x+1)*(x+1)/(x-1)+(x-1)/(x+1)*(x+1)/(x-1)=1/(x-1)+1...
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