分式化簡高分

2022-12-15 08:50:13 字數 1324 閱讀 9343

1樓:念含玉

[(x^2-2x)/(x^2-1)] ÷ [x-1-(2x-1)/(x+1)]

=[(x^2-2x)/(x+1)(x-1)÷ [(x^2-1-2x+1)/(x+1)]

=[(x^2-2x)/(x+1)(x-1)]×[(x+1)/(x^2-2x)]

=1/(x-1)

當x1/2時,原式=1/(-1/2)=-2

2樓:金龍

[(x^2-2x)/(x^2-1)] ÷ [x-1-(2x-1)/(x+1)]

=x(x-2)/(x+1)(x-1)*[(x+1)/(x^2-2x)]

=1/(x-1)

=1/(0.5-1)=-2

3樓:旁悅禕

(x-2)/(x-1)=3

4樓:楊柳

原式=(x^2-2x)/(x^2-1)*(x^2-1-2x+1)/(x+1)=(x^2-2x)/[(x+1)(x-1)]*(x+1)/(x^2-2x)=1/x=2

5樓:匿名使用者

原式=[(x^2-2x)/(x^2-1)] ÷ [(x-1)(x+1)/(x+1)(2x-1)/(x+1)]

=[(x^2-2x)/(x^2-1)] ÷ [(x^2-2x)/(x+1)]

=[(x^2-2x)/(x^2-1)] × [(x+1)/(x^2-2x)]

原式=1/(x-1)

=1/(1/2-1)=-2

6樓:高不成低不就

[(x^2-2x)/(x^2-1)] ÷ [x-1-(2x-1)/(x+1)]

=x(x-2)/[(x+1)(x-1)]÷[-x/(x+1)]=x(x-2)(x+1)/[(x+1)(x-1)(-x)]=-(x-2)/(x-1)

=-1+1/(x-1)

x=1/2時,原式=-1+1/(1/2-1)=-3

7樓:幻想之魄

(x(x-2)/((x+1)(x-1)))*((x+1)/(x^2-1-2x+1))=1/(x-1)=-2

8樓:匿名使用者

[(x^2-2x)/(x^2-1)] ÷ [x-1-(2x-1)/(x+1)]

=[(x^2-2x)/(x^2-1)] ÷ [(x-1)(x+1)/(x+1)(2x-1)/(x+1)]

=[(x^2-2x)/(x^2-1)] ÷ [(x^2-2x)/(x+1)]

=[(x^2-2x)/(x^2-1)] × [(x+1)/(x^2-2x)]

=1/(x-1)

=1/(1/2-1)=-2

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