(1)|-1/2|-根号9+(π+4)^0-sin30°+1/(根号2-1)

3个回答

  • (1)|-1/2|-根号9+(π+4)^0-sin30°+1/(根号2-1)

    =1/2-3+1-1/2+根号2+1

    =根号2-1

    (2)|-2|-4sin45°-(1/2)^(-2)+2根号2-(根号3-根号2)^0

    =2-2√2-√2+2√2-1

    =-1

    (3)求值:(1-1/(a-1))÷(a^2-4a+4)/(a^2-a)其中a=-1

    =(a-2)/(a-1)×a(a-1)/(a-2)²

    =a/(a-2)

    代入a=-1,-1/(-1-2)=1/3

    (4)先化简再求值:(a^2+6a+9)/(a^2-16)÷(a+3)/(2a-8)-(2a)/(a+4),其中a=2

    =(a+3)²/(a-4)(a+4)×2(a-4)/(a+3)-2a/(a+4)

    =2(a+3)/(a+4)-2a/(a+4)

    =6/(a+4)

    代入a=2得6/(a+4)=1

    (5)因式分解

    (1)9x^2-y^2-4y-4

    =(3x)^2-(y+2)^2

    =(3x-y-2)(3x+y+2)

    (2)2a^2-4a+2

    =2(a^2-2a+1)

    =2(a-1)^2