数学。 (1)1-(8分之5+6分之1-4分之3)×24 (2)1-[3分之4+(-12)×6

2024-12-17 20:22:08
推荐回答(3个)
回答1:

(1)1-(5/8+1/6-3/4)×24
解:原式=1-(5/8×24+1/6×24-3/4×24)
  =1-(15+4-18)
  =1-1
  =0

(2)1-[4/3+(-12)×1/6]²×(-12/8)
解:原式=1-(4/3-2)²×(-3/2)
  =1-(-2/3)²×(-3/2)
  =1-(4/9)×(-3/2)
  =1-(-2/3)
  =1+2/3
  =5/3

(3)4xy-[(x²+5xy-y²)-(x²+3xy-2y²)],其中x=-1/4,y=-1/2
解:∵x=-1/4,y=-1/2
  ∴4xy-[(x²+5xy-y²)-(x²+3xy-2y²)]
  =4xy-(x²+5xy-y²-x²-3xy+2y²)
  =4xy-(2xy+y²)
  =4xy-2xy-y²
  =2xy-y²
  =2×(-1/4)×(-1/2)-(-1/2)²
  =1/4-1/4
  =0

回答2:

1.等于0,首先括号里面通分,分母为24,最后与括号外面的24刚好约掉,结果就等于0
2.等于5/3,1-【4/3+(-12)*1/6】^2*(-12/8)=1-[4/3-2]^2x(-3/2)=1-(-2/3)^2x(-3/2)=1-4/9x(-3/2)=1+2/3=5/3
3.直接中括号里面去掉小括号,合并同类项。化简,代值。结果等于1/2

回答3:

(1)1-(8分之5+6分之1-4分之3)×24

=1-(8/5X24+6/1X24+4/3X24) 【乘法分配律】
=1-(15+4-18)
=1-1
=0
(2)1-[3分之4+(-12)×6分之1]^2×(-8分之12)
=1-[3/4+(-12)X6/1]^2X(-2/3)
=1-[3/4-2]^2X(-2/3)
=1-9/4X(-2/3)
=3/5