1.若(z-x)的平方-4(x-y)(y-z)=0则x+z-2y+1999等于.2.因式分解x的4次方+4=需过程3.判定4的m次方+4的n次方-4的m+n+1/2次方的值的符号是?4.(x+1)乘(x+2)乘(x+3)乘(x+4)等于(需简算)
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![1.若(z-x)的平方-4(x-y)(y-z)=0则x+z-2y+1999等于.2.因式分解x的4次方+4=需过程3.判定4的m次方+4的n次方-4的m+n+1/2次方的值的符号是?4.(x+1)乘(x+2)乘(x+3)乘(x+4)等于(需简算)](/uploads/image/z/1120045-13-5.jpg?t=1.%E8%8B%A5%28z-x%29%E7%9A%84%E5%B9%B3%E6%96%B9-4%28x-y%29%28y-z%29%3D0%E5%88%99x%2Bz-2y%2B1999%E7%AD%89%E4%BA%8E.2.%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3x%E7%9A%844%E6%AC%A1%E6%96%B9%2B4%3D%E9%9C%80%E8%BF%87%E7%A8%8B3.%E5%88%A4%E5%AE%9A4%E7%9A%84m%E6%AC%A1%E6%96%B9%2B4%E7%9A%84n%E6%AC%A1%E6%96%B9-4%E7%9A%84m%2Bn%2B1%2F2%E6%AC%A1%E6%96%B9%E7%9A%84%E5%80%BC%E7%9A%84%E7%AC%A6%E5%8F%B7%E6%98%AF%3F4.%EF%BC%88x%2B1%EF%BC%89%E4%B9%98%EF%BC%88x%2B2%EF%BC%89%E4%B9%98%EF%BC%88x%2B3%EF%BC%89%E4%B9%98%EF%BC%88x%2B4%EF%BC%89%E7%AD%89%E4%BA%8E%EF%BC%88%E9%9C%80%E7%AE%80%E7%AE%97%EF%BC%89)
1.若(z-x)的平方-4(x-y)(y-z)=0则x+z-2y+1999等于.2.因式分解x的4次方+4=需过程3.判定4的m次方+4的n次方-4的m+n+1/2次方的值的符号是?4.(x+1)乘(x+2)乘(x+3)乘(x+4)等于(需简算)
1.若(z-x)的平方-4(x-y)(y-z)=0则x+z-2y+1999等于.2.因式分解x的4次方+4=需过程
3.判定4的m次方+4的n次方-4的m+n+1/2次方的值的符号是?
4.(x+1)乘(x+2)乘(x+3)乘(x+4)等于(需简算)
1.若(z-x)的平方-4(x-y)(y-z)=0则x+z-2y+1999等于.2.因式分解x的4次方+4=需过程3.判定4的m次方+4的n次方-4的m+n+1/2次方的值的符号是?4.(x+1)乘(x+2)乘(x+3)乘(x+4)等于(需简算)
1 (z-x)^2-4(x-y)(y-z)=0
(x+z)^2-4(xy-y^2-xz+yz)-4xz=0
(x+z)^2-4(xy-y^2+yz)=0
(x+z)^2-4y(x+z-y)=0
(x+z-2y)^2=0
x+z=2y
x+z-2y+1999=0+1999=1999
2 x^4+4
=(x^4+4x^2+4)-4x^2
=(x²+2)²-(2x)²
=[(x²+2)+2x][(x²+2)-2x]
=(x²+2x+2)(x²-2x+2)
3 4^m+4^n-4^(m+n+1)/2
=(4^m/2)^2+(4^n/2)^2-2*(4^m/2)(4^n/2)
=(4^m/2-4^n/2)^2≥0
当m≠n
4^m+4^n-4^(m+n+1)/2>0
4 x^4+(1+2+3+4)x^3+(1*2+1*3+1*4+2*3+2*4+3*4)x^2+(1*2*3+1*2*4+2*3*4)x+2*3*4*5
=x^4+10x^3+35x²+50x+24
1. 若(z-x)的平方-4(x-y)(y-z)=0
z²-2xz+x²-4(xy-xz-y²+yz)=0
x²+2xz+z²+4y²-4xy-4yz=0
(x+z)²-4y(x+z)+4y²=0
(x+z-2y)²=0
所以x+z-2y=0
故x+z-2y+1...
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1. 若(z-x)的平方-4(x-y)(y-z)=0
z²-2xz+x²-4(xy-xz-y²+yz)=0
x²+2xz+z²+4y²-4xy-4yz=0
(x+z)²-4y(x+z)+4y²=0
(x+z-2y)²=0
所以x+z-2y=0
故x+z-2y+1999=1999
2. x的4次方+4
=(x²)²+4x²+4-4x²
=(x²+2)²-(2x)²
=(x²+2x+2)(x²-2x+2)
3. .(x+1)乘(x+2)乘(x+3)乘(x+4)
=[(x+1)(x+4)]*[(x+2)(x+3)]
=(x²+5x+4)*(x²+5x+6)
=(x²+5x+4)²+2(x²+5x+4)
=x^4+25x²+16+10x^3+8x²+40x+2x²+10x+8
=x^4+10x^3+35x²+50x+24
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1
(z-x)^2-4(x-y)(y-z)=0
z^2-2xz+x^2-4xy+4xz+4y^2-4yz=0
z^2+2xz+z^2-4xy-4yz+4y^2=0
(x+z)^2+4y^2-4xy-4yz=0
(x+z)^2+4y^2-4y(x+z)=0
(x+z-2y)^2=0
(x+z-2y)=0
x+z-2y+1999=1999...
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1
(z-x)^2-4(x-y)(y-z)=0
z^2-2xz+x^2-4xy+4xz+4y^2-4yz=0
z^2+2xz+z^2-4xy-4yz+4y^2=0
(x+z)^2+4y^2-4xy-4yz=0
(x+z)^2+4y^2-4y(x+z)=0
(x+z-2y)^2=0
(x+z-2y)=0
x+z-2y+1999=1999
2.
x^4+4=x^4+4,
3.
4^m+4^n-4^((m+n)/2)=4^m+4^n-2^(m+n)=(2^m)^2+(2^n)^2-(2^m)*(2^n)
设 2^m=A, 2^n=B
A^2+B^2-AB=(A-B)^2+AB>0
所以4^m+4^n-4^((m+n)/2) >0
4.
(x+1)(x+2)(x+3)(x+4)=((x+2)-1)((x+2)+1)(x+2)(x+4)
=((x+2)^2-1)((x+3)-1)((x+3+1)
=((x+2)^2-1)((x+3)^2-1)
=(x+2)^(x+3)^2-(x+2)^2-(x+3)^2+1
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