1、已知x^2+2x+y^2-6y+10=0,求x、y的值.2、若(z-x)^2 -4(x-y)(y-z)=0,求证x+z-2y=0.小提示:x-z=(x-y)+(y-z).3、2009/(2009^2-2010*2008)最后一题、计算(a-2)(a^2+2a+4)=____.(2x-y)(4x^2+2xy+y^2)=____.上面的结果很简洁,
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![1、已知x^2+2x+y^2-6y+10=0,求x、y的值.2、若(z-x)^2 -4(x-y)(y-z)=0,求证x+z-2y=0.小提示:x-z=(x-y)+(y-z).3、2009/(2009^2-2010*2008)最后一题、计算(a-2)(a^2+2a+4)=____.(2x-y)(4x^2+2xy+y^2)=____.上面的结果很简洁,](/uploads/image/z/1262677-13-7.jpg?t=1%E3%80%81%E5%B7%B2%E7%9F%A5x%5E2%2B2x%2By%5E2-6y%2B10%3D0%2C%E6%B1%82x%E3%80%81y%E7%9A%84%E5%80%BC.2%E3%80%81%E8%8B%A5%EF%BC%88z-x%EF%BC%89%5E2+-4%28x-y%29%28y-z%29%3D0%2C%E6%B1%82%E8%AF%81x%2Bz-2y%3D0.%E5%B0%8F%E6%8F%90%E7%A4%BA%EF%BC%9Ax-z%3D%EF%BC%88x-y%EF%BC%89%2B%EF%BC%88y-z%EF%BC%89.3%E3%80%812009%2F%282009%5E2-2010%2A2008%29%E6%9C%80%E5%90%8E%E4%B8%80%E9%A2%98%E3%80%81%E8%AE%A1%E7%AE%97%28a-2%29%28a%5E2%2B2a%2B4%29%3D____.%282x-y%29%284x%5E2%2B2xy%2By%5E2%29%3D____.%E4%B8%8A%E9%9D%A2%E7%9A%84%E7%BB%93%E6%9E%9C%E5%BE%88%E7%AE%80%E6%B4%81%2C)
1、已知x^2+2x+y^2-6y+10=0,求x、y的值.2、若(z-x)^2 -4(x-y)(y-z)=0,求证x+z-2y=0.小提示:x-z=(x-y)+(y-z).3、2009/(2009^2-2010*2008)最后一题、计算(a-2)(a^2+2a+4)=____.(2x-y)(4x^2+2xy+y^2)=____.上面的结果很简洁,
1、已知x^2+2x+y^2-6y+10=0,求x、y的值.
2、若(z-x)^2 -4(x-y)(y-z)=0,求证x+z-2y=0.小提示:x-z=(x-y)+(y-z).
3、2009/(2009^2-2010*2008)
最后一题、计算(a-2)(a^2+2a+4)=____.(2x-y)(4x^2+2xy+y^2)=____.上面的结果很简洁,你又发现了一个新的乘法公式:____(请用含a、b的代数式表示).
1、已知x^2+2x+y^2-6y+10=0,求x、y的值.2、若(z-x)^2 -4(x-y)(y-z)=0,求证x+z-2y=0.小提示:x-z=(x-y)+(y-z).3、2009/(2009^2-2010*2008)最后一题、计算(a-2)(a^2+2a+4)=____.(2x-y)(4x^2+2xy+y^2)=____.上面的结果很简洁,
1、已知x^2+2x+y^2-6y+10=0,求x、y的值
x^2+2x+y^2-6y+1+9=0
(x^2+2x+1)+(y^2-6y+9)=0
(x+1)^2+(y-3)^2=0
x=-1,y=3
2、若(z-x)^2 -4(x-y)(y-z)=0,求证x+z-2y=0.小提示:x-z=(x-y)+(y-z).
(z-x)^2-4(x-y)(y-z)=0
(z-x)^2=(x-z)^2=[(x-y)+(y-z)]^2
[(x-y)+(y+z)]^2-4(x-y)(y-z)=0
(x-y)^2+(y-z)^2-2(x-y)(y-z)=0
[(x-y)-(y-z)]^2=0
(x+z-2y)^2=0
x+z-2y=0
3、2009/(2009^2-2010*2008)
=2009/[2009^2-(2009+1)(2009-1)]
=2009/(2009^2-2009^2+1)
=2009/1
=2009
最后一题、计算(a-2)(a^2+2a+4)=____.(2x-y)(4x^2+2xy+y^2)=____.上面的结果很简洁,你又发现了一个新的乘法公式:a^2+2ab+b^2=(a+b)^2 (不知是否)____(请用含a、b的代数式表
(a-2)(a^2+2a+4)
=(a-2)(a+2)(a+2)
(2x-y)(4x^2+2xy+y^2)
=(2x-y)(2x+y)(2x+y)