先化简,再求值:1+x⼀1-x⼀(x-2x⼀1-x),其中x=根号二

2024-12-02 16:54:00
推荐回答(2个)
回答1:

解:
原式=[(1+x)/(1-x)]/[x-2x/(1-x)]
=[(1+x)/(1-x)]/[x(1-x)/(1-x)-2x/(1-x)]
=[(1+x)/(1-x)]/{[x(1-x)-2x]/(1-x)}
=[(1+x)/(1-x)]/[(x-x²-2x)/(1-x)]
=[(1+x)/(1-x)]/[(-x²-x)/(1-x)]
=[(1+x)/(1-x)]×{(1-x)/[-x(x+1)]}
=-1/x
=-1/√2
= -(√2)/2

回答2:

2分之跟2+1 不知对不对啊