初三数学的化简求值题,万分
初三数学的化简求值题,万分
1.(3X+2Y)+(4X+3Y)其中X=5,Y+3
原式=3X+2Y+4X+3Y=7X+5Y
当X=5,Y=3时
原式=5*7+(-3)*5+20
2.(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
3.2(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
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
初三数学化简求值题目,~
[2/(x+1)+4/(x²-1)]÷x/(x-1)
=[(2/(x+1)+4/(x-1)(x+1)]÷x/(x-1)
=[2(x-1)/(x+1)(x-1)+4/(x-1)(x+1)]÷x/(x-1)
=[2(x-1)+4/(x-1)(x+1)]÷x/(x-1)
=[2(x+1)/(x-1)(x+1)]÷x/(x-1)
=[2/(x-1)]÷x/(x-1)
=[2/(x-1)]×(x-1)/x
=2/x
当x=2时
上式=1
初三数学化简求值题目,先
先化简,再求值.[(2/x+1)+(4/x方-1)]÷x/x-1 x=2、
2/(x+1)+4/(x²-1)]÷x/(x-1)
=[(2/(x+1)+4/(x-1)(x+1)]÷x/(x-1)
=[2(x-1)/(x+1)(x-1)+4/(x-1)(x+1)]÷x/(x-1)
=[2(x-1)+4/(x-1)(x+1)]÷x/(x-1)
=[2(x+1)/(x-1)(x+1)]÷x/(x-1)
=[2/(x-1)]÷x/(x-1)
=[2/(x-1)]×(x-1)/x
=2/x
当x=2时
上式=1
初三数学化简求值题图片
- (3X+2Y)+(4X+3Y)其中X=5,Y+3
-
原式=3X+2Y+4X+3Y=7X+5Y
-
当X=5,Y=3时
-
原式=5*7+(-3)*5+20
-
2.(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
-
3.2(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
-
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+6x?? -3(x-2/3x??)
=9x+6x??-3x+2x??
=8x??+6x
=8×(-2)??+6×(-2)
=32-12
=20
6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2
1/4(-4x??+2x-8)-(1/2x-1)
=-x??+1/2x-2-1/2x+1
=-x??-1
=-(1/2)??-1
=-1/4-1
=-5/4
7、3x'y-[2x'y-(2-x'z)-4x'z]-,其中x=-2,y=-3,z=1,
:3x'y-[2x'y-(2-x'z)-4x'z]-
=3x'y-2x'y+2-x'z+4x'z-
=x'y-+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
初三数学中考化简求值专项训练题
1.(3X+2Y)+(4X+3Y)其中X=5,Y+3
原式=3X+2Y+4X+3Y=7X+5Y
当X=5,Y=3时
原式=5*7+(-3)*5+20
2.(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
3.2(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
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+6x�� -3(x-2/3x��)
=9x+6x��-3x+2x��
=8x��+6x
=8×(-2)��+6×(-2)
=32-12
=20
6、1/4(-4x^2+2x-8)-(1/2x-1),其中x=1/2
1/4(-4x��+2x-8)-(1/2x-1)
=-x��+1/2x-2-1/2x+1
=-x��-1
=-(1/2)��-1
=-1/4-1
=-5/4
7、3x'y-[2x'y-(2-x'z)-4x'z]-,其中x=-2,y=-3,z=1,
:3x'y-[2x'y-(2-x'z)-4x'z]-
=3x'y-2x'y+2-x'z+4x'z-
=x'y-+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
初三数学,先化简,再求值
[(5/(a-2))-a-2]=(3+a)(3-a)/(a-2)
消除同类项可知 原式等于
(-1)/2(3+a)=(-1)/2√3=-√3/6
望采纳
〔(a²-b²/a²-2ab+b²)+(a/b-a)〕除以(b²/a²-ab)
=a/b
初三数学化简或化简求值(a^2+b^2)^2减(a^2+b^2)减6=0
(a^2+b^2)^2-(a^2+b^2)-6=0
(a^2+b^2-3)(a^2+b^2+2)=0
a^2+b^2=3,或a^2+b^2=-2(舍)
结果为a^2+b^2=3
初三数学化简题
(n+1)(n+2)/1 +(n+2)(n+3)/1 +(n+3)(n+4)/1
=(n+1)(n+2) +(n+2)(n+3) +(n+3)(n+4)
=(n+2)(n+1+n+3)+n^2+7n+12
=(n+2)(2n+4)+n^2+7n+12
=2(n+2)^2+n^2+7n+12
=2(n^2+4n+4)+n^2+7n+12
=3n^2+15n+20
初三数学题(分式化简)
(2009a/a^2-2a+1)/[(1/a-1)+1]
=2009a/(a-1)^2/[(1+a-1)/(a-1)]
=2009a/(a-1)^2*(a-1)/a
=2009/(a-1)