一道初二数学题,急用!先化简,再
先化简,再求值:(1+x)/(x^2+x-2)除以(x^2-1)/(x+2),其中x=1/2。
解::[(1+x)/(x^2+x-2)]÷[(x^2-1)/(x+2)]
=[(1+x)/(x+2)(x-1)]÷[(x-1)(x+1)/(x+2)]
=[(1+x)/(x+2)(x-1)]×[(x+2)/(x-1)(x+1)]
=[(1+x)(x+2)]/[(x+2)(x-1)(x-1)(x+1)]
=1/[(x-1)(x-1)](x=1/2)
=1/[(-1/2)(-1/2)]
=1/(1/4)
=4
。
先化简,再求值:(1+x)/(x^2+x-2)除以(x^2-1)/(x+2),其中x=1/2。
解::[(1+x)/(x^2+x-2)]÷[(x^2-1)/(x+2)]
=[(1+x)/(x+2)(x-1)]÷[(x-1)(x+1)/(x+2)]
=[(1+x)/(x+2)(x-1)]×[(x+2)/(x-1)(x+1)]
=[(1+x)(x+2)]/[(x+2)(x-1)(x-1)(x+1)]
=1/[(x-1)(x-1)](x=1/2)
=1/[(-1/2)(-1/2)]
=1/(1/4)
=4
。收起