计算:1.(-1/2)的-2次方×0.125+2009的0次方+|-1| 2.x²/(x-1)-1-x 3.(1-(2/x+1)²÷x-1/x+1
问题描述:
计算:1.(-1/2)的-2次方×0.125+2009的0次方+|-1| 2.x²/(x-1)-1-x 3.(1-(2/x+1)²÷x-1/x+1
答
1.
(-1/2)的-2次方×0.125+2009的0次方+|-1|
=1/(-1/2)²*0.125+1=0.5+1=1.5
2.
x²/(x-1)-1-x
=x²/(x-1)-(1+x)=[x²-(x²-1)]/(x-1)=1/(x-1)
3.
(1-(2/x+1)²÷x-1/x+1
=[1-(2/x+1)²-1]/x+1=[x-(4+4x+x²)/x²]/x=1-(x+2)²/(x的三次方)
答
1.(-1/2)的-2次方×0.125+2009的0次方+|-1|=4×0.125+1+1=2.5 2.x²/(x-1)-1-x =x²/(x-1)-(x+1)(x-1)/(x-1) =(x²-x²+1)/(x-1) =1/(x-1) 3.(1-(2/x+1)²÷x-1/x+1 =1-4/(x+1)²...