①(x+y)(-x-y)②已知a²+b²-8a-10b+41=0,求5a-b²+25的值.③已知x²y²+x²+y²+1=4xy,求2x+y-1的值.④已知a=1/3x+2006,b=1/3x+2007,c=1/3x+2008,求a²+b²+c²-ab-ac-bc的值.⑤已知x²-4x

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①(x+y)(-x-y)②已知a²+b²-8a-10b+41=0,求5a-b²+25的值.③已知x²y²+x²+y²+1=4xy,求2x+y-1的值.④已知a=1/3x+2006,b=1/3x+2007,c=1/3x+2008,求a²+b²+c²-ab-ac-bc的值.⑤已知x²-4x

①(x+y)(-x-y)②已知a²+b²-8a-10b+41=0,求5a-b²+25的值.③已知x²y²+x²+y²+1=4xy,求2x+y-1的值.④已知a=1/3x+2006,b=1/3x+2007,c=1/3x+2008,求a²+b²+c²-ab-ac-bc的值.⑤已知x²-4x
①(x+y)(-x-y)
②已知a²+b²-8a-10b+41=0,求5a-b²+25的值.
③已知x²y²+x²+y²+1=4xy,求2x+y-1的值.
④已知a=1/3x+2006,b=1/3x+2007,c=1/3x+2008,求a²+b²+c²-ab-ac-bc的值.
⑤已知x²-4x+1=0,求x的四次方+1/x4的值.
看不懂加1194250591

①(x+y)(-x-y)②已知a²+b²-8a-10b+41=0,求5a-b²+25的值.③已知x²y²+x²+y²+1=4xy,求2x+y-1的值.④已知a=1/3x+2006,b=1/3x+2007,c=1/3x+2008,求a²+b²+c²-ab-ac-bc的值.⑤已知x²-4x
.①(x+y)(-x-y)=-(x+y)(x+y)=-x2-y2-2xy
②a²+b²-8a-10b+41=0
a²-8a+16+b²-10b+25=0
(a-4)2+(b-5)2=0
a=4 b=5
5a-b²+25=20
③x²y²+x²+y²+1=4xy
x²y²+x²+y²+1-4xy=0
x²y²-2xy+1+x²+y²-2xy=0
(xy-1)2+(x-y)2=0
xy=1 x=y
x²=1 x=y=1或-1
2x+y-1=3x-1=2或-4
④a=1/3x+2006,b=1/3x+2007,c=1/3x+2008
则a-b=-1 a-c=-2 b-c=-1
a²+b²+c²-ab-ac-bc=1/2 (2a²+2b²+2c²-2ab-2ac-2bc)
=1/2((a-b)2+(b-c)2+(a-c)2 )=1/2(1+1+4)=3
⑤提示x²-4x+1=0 x²-4x+4-3=0 (x-2)2=3 再求出x就行了最后代入求值

1.-X^2-Y^2-2XY
2.根据前面的式子:a^2-8a+16+b^2-10b+25=0
(a-4)^2+(b-5)^2=0
a=4,b=5
所以,5a-b^2+25=20
3.根据前面的,得,...

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1.-X^2-Y^2-2XY
2.根据前面的式子:a^2-8a+16+b^2-10b+25=0
(a-4)^2+(b-5)^2=0
a=4,b=5
所以,5a-b^2+25=20
3.根据前面的,得,X^2+Y^2-2XY+X^2Y^2-2XY+1=0
(X-Y)^2+(XY-1)^2=0
X=Y
XY=0
得 当X=1,Y=1 原式=2
当X=-1,Y=-1 原式=-4
4.将问题里的式子转变为:(a^2-2ab+b^2+a^2-2ac+c^2+b^2-2ac+c^2)/2
{(a-b)^2+(a-c)^2+(a-c)^2}/2
将a b c代入 得 (1+4+1)/2=3
5.由前面的式子,得,X^2+1=4X
X^4+1/X4={[(X^2)^2+1/(X^2)^2]-2}={{[(X+1/X)^2]-2}^2}-2=194
注:X+1/X=(X^2+1)/X=4X/X=4
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