关于初一化简求值题给我14道题(有过程+50分)

1个回答

  • 1、已知A,B是方程x^2+2x-5=0的两个实数根,

    求(A^2+2AB+2A)(B^2+2AB+2B)的值.

    由A,B是方程x^2+2x-5=0的两个实数根得:

    AB=-5,A+B=-2

    A^2+2AB+2A)(B^2+2AB+2B)

    =AB(A+2B+2)(B+2A+2)

    =-5(-2+B+2)(-2+A+2)

    =-5AB

    =25

    2、1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y),其中x-y=6,xy=21.要详细步骤

    化简得:

    1/2(x+y+z)方+1/2(x-y-z)(x-y+z)-z(x+y)=

    1/2[(x+y)方+2z(x+y)+z方]+1/2[(x-y)方-z方]-z(x+y)=

    1/2(x+y)方+1/2(x-y)方=x方+y方

    由x-y=6,xy=21得,x方+y方=(x-y)方+2xy=78

    3、a^2-ab+2b^2=3 求2ab-2a^2-4b^2-7的值

    2ab-2a^2-4b^2-7

    =2(ab-a^2-2b^2)-7

    =-2(a^2-ab+2b^2)-7

    =(-2)*3-7

    =-6-7=-13

    4、若A=2x^2+3xy-2x-3,B=-x^2+xy+2,且3A+6B的值与x无关,求y的值

    3A+6B=6x^2+9xy-6x-9-6x^2+6xy+12

    =15xy-6x+3

    =x(15y-6)+3

    5、9x+6x^2 -3(x-2/3x^2).其中x=-2

    9x+6x² -3(x-2/3x²)

    =9x+6x²-3x+2x²

    =8x²+6x

    =8×(-2)²+6×(-2)

    =32-12

    =20

    6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2

    1/4(-4x²+2x-8)-(1/2x-1)

    =-x²+1/2x-2-1/2x+1

    =-x²-1

    =-(1/2)²-1

    =-1/4-1

    =-5/4

    7、3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz,其中x=-2,y=-3,z=1,

    :3x'y-[2x'y-(2xyz-x'z)-4x'z]-xyz

    =3x'y-2x'y+2xyz-x'z+4x'z-xyz

    =x'y-xyz+3x'z

    =4*(-3)-2*3*1+3*4*1

    =-12-6+12

    =-6

    8、(5a^2-3b^2)+(a^2+b^2)-(5a^2+3b^2),其中a=-1,b=1

    =5a^2-3b^2+a^2+b^2-5a^2-3b^2

    =a^2-5b^2

    =(-1)^2-5*1^2

    =1-5

    =-4

    9、2(a^2b+ab^2)-2(a^2 b-1)-2ab^2 -2其中a=-2,b=2

    =2a^2b+2ab^2-2a^2b+2-2ab^2-2

    =0

    10、(X-2分之1Y-1)(X-2分之1Y+1)-(X-2分之1Y-1)的平方

    其中X=1.7,Y=3.9(先化简再求值)

    [(X-2分之1Y)-1][(X+2分之1Y)+1]-(X-2分之1Y-1)平方

    =(X+2分之1Y)平方-1-(X-2分之1Y)平方+2(X-2分之1Y)-1

    =(X+2分之1Y)平方-(X-2分之1Y)平方+2(X-2分之1Y)-2

    =2XY+2X-Y-2

    =3.9*2.4+1.4

    =10.76

    化间求值:下面的你自己求吧```

    1、-9(x-2)-y(x-5)

    (1)化简整个式子.

    (2)当x=5时,求y的解.

    2、5(9+a)×b-5(5+b)×a

    (1)化简整个式子.

    (2)当a=5/7时,求式子的值.

    3、62g+62(g+b)-b

    (1)化简整个式子.

    (2)当g=5/7时,求b的解.

    4、3(x+y)-5(4+x)+2y

    (1)化简整个式子.

    5、(x+y)(x-y)

    (1)化简整个式子.

    6、2ab+a×a-b

    (1)化简整个式子.

    7、5.6x+4(x+y)-y

    (1)化简整个式子.

    8、6.4(x+2.9)-y+2(x-y)

    (1)化简整个式子.

    9、(2.5+x)(5.2+y)

    (1)化简整个式子.

    10、9.77x-(5-a)x+2a