1、m-n=2,mn=1,则m^4 n^2+m^2 n^4的值是() 2、分解因式:(x^2-xy)^2-(xy-y^2
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1、m-n=2,mn=1,则m^4 n^2+m^2 n^4的值是() 2、分解因式:(x^2-xy)^2-(xy-y^2)^2 已知a^2-3a+1=0,
求a+1/a和a^2+1/a^2
如图,已知AD平行于BC,AD=BC,AE垂直于AD,AF垂直于AB,且AE=AD,AF=AB.则AC与EF是否相等?为什么?
4、将下列图分成4个全等图形,而且每一份图形中恰好有巧分图形四个字
5、把二元一次方程2x+3y-4=0化为y=kx+m的形式,则m-k=()
6、因式分解:4-x^2-4xy-4y^2
a^2-2a(b+c)+(b+c)^2 (x^2-5)^2+8(x^2-5)+16
16(m-n)^2-9(m+n)^2
![](http://img.wesiedu.com/upload/b/3f/b3fcd75fce9c6e5221e7d0002c1da5c6.jpg)
![](http://img.wesiedu.com/upload/9/0f/90f41e5796891d09127e109effa1805b.jpg)
求a+1/a和a^2+1/a^2
如图,已知AD平行于BC,AD=BC,AE垂直于AD,AF垂直于AB,且AE=AD,AF=AB.则AC与EF是否相等?为什么?
4、将下列图分成4个全等图形,而且每一份图形中恰好有巧分图形四个字
5、把二元一次方程2x+3y-4=0化为y=kx+m的形式,则m-k=()
6、因式分解:4-x^2-4xy-4y^2
a^2-2a(b+c)+(b+c)^2 (x^2-5)^2+8(x^2-5)+16
16(m-n)^2-9(m+n)^2
![](http://img.wesiedu.com/upload/b/3f/b3fcd75fce9c6e5221e7d0002c1da5c6.jpg)
![](http://img.wesiedu.com/upload/9/0f/90f41e5796891d09127e109effa1805b.jpg)
![1、m-n=2,mn=1,则m^4 n^2+m^2 n^4的值是() 2、分解因式:(x^2-xy)^2-(xy-y^2](/uploads/image/z/8257403-11-3.jpg?t=1%E3%80%81m-n%3D2%2Cmn%3D1%2C%E5%88%99m%5E4+n%5E2%2Bm%5E2+n%5E4%E7%9A%84%E5%80%BC%E6%98%AF%EF%BC%88%EF%BC%89+2%E3%80%81%E5%88%86%E8%A7%A3%E5%9B%A0%E5%BC%8F%EF%BC%9A%28x%5E2-xy%29%5E2-%28xy-y%5E2)
1.mn=1→m²n²=1
m-n=2→(m-n)²=4
m^4·n²+m²n^4
=m²n²(m²+n²)
=m²n²[(m-n)²+2mn]
=1×(4+2×1)
=6
2.(x^2-xy)^2-(xy-y^2)^2=(x²-xy-xy+y²)(x²-xy+xy-y²)
=(x²-2xy+y²)(x²+y²)
=(x+y)²(x²-y²)
=(x+y)²(x+y)(x-y)
=(x+y)³(x-y)
3.a²-3a+1=0
两边同时除以a
→a-3+1/a=0
→a+1/a=3
(a+1/a)²=9
→a²+2+1/a²=9
→a²+1/a²=7
4.无图?
5.2x+3y-4=0
→3y=-2x+4
两边同时除以3
→y=-2/3x+4/3
∴k=-2/3
6.(1)4-x^2-4xy-4y^2
=-x²-4xy-4y²+4
=-(x+2y)²+4
=(4-x-2y)(4+x+2y)
(2)a^2+2a(b+c)+(b+c)^2
=[(a+(b+c)]²
=(a+b+c)²
(3) (x^2-5)^2+8(x^2-5)+16
=[(x²-5)+4]
=(x-1)²
(4)16(m-n)^2-9(m+n)^2
=[4(m-n)-3(m+n)][4(m-n)+3(m+n)]
=(4m-4n-3m-3n)(4m-4n+3m+3n)
=(m-7n)(7m-n)
m-n=2→(m-n)²=4
m^4·n²+m²n^4
=m²n²(m²+n²)
=m²n²[(m-n)²+2mn]
=1×(4+2×1)
=6
2.(x^2-xy)^2-(xy-y^2)^2=(x²-xy-xy+y²)(x²-xy+xy-y²)
=(x²-2xy+y²)(x²+y²)
=(x+y)²(x²-y²)
=(x+y)²(x+y)(x-y)
=(x+y)³(x-y)
3.a²-3a+1=0
两边同时除以a
→a-3+1/a=0
→a+1/a=3
(a+1/a)²=9
→a²+2+1/a²=9
→a²+1/a²=7
4.无图?
5.2x+3y-4=0
→3y=-2x+4
两边同时除以3
→y=-2/3x+4/3
∴k=-2/3
6.(1)4-x^2-4xy-4y^2
=-x²-4xy-4y²+4
=-(x+2y)²+4
=(4-x-2y)(4+x+2y)
(2)a^2+2a(b+c)+(b+c)^2
=[(a+(b+c)]²
=(a+b+c)²
(3) (x^2-5)^2+8(x^2-5)+16
=[(x²-5)+4]
=(x-1)²
(4)16(m-n)^2-9(m+n)^2
=[4(m-n)-3(m+n)][4(m-n)+3(m+n)]
=(4m-4n-3m-3n)(4m-4n+3m+3n)
=(m-7n)(7m-n)
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