z^2=x^2 y^2 4

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x,y,z为实数 且(y-z)^2+(x-y)^2+(z-x)^2=(y+z-2x)^2+(x+z-2y)^2+(x+y

(y-z)^2+(z-x)^2+(x-y)^2=(x+y-2z)^2+(y+z-2x)^2+(z+x-2y)^2[(y-z)^2-(y+z-2x)^2]+[(z-x)^2-(x+z-2y)^2]+[(

已知 x,y,z都是正实数,且 x+y+z=xyz 证明 (y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1

1/x=p1/y=q1/z=rpq+qr+pr=1(y+x)/z+(y+z)/x+(z+x)/y≥2(1/x+1/y+1/z)^2为(pq+qr+pr)[r/p+r/q+q/r+q/p+p/r+p/q

(y-x)/(x+z-2y)(x+y-2z)+(z-y)(x-y)/(x+y-2z)(y+z-2x)+(x-z)(y-z

∑是循环和例如∑a=a+b+c∑a^2=a^2+b^2+c^2∑(z-y)(x-y)/(x+y-2z)(y+z-2x)=∑(z-y)(x-y)(x+z-2y)/(x+y-2z)(y+z-2x)(x+z

已知x、y、z满足方程组:x+y-z=6;y+z-x=2;z+x-y=0 求x、y、z的值

x+y-z=6y+z-x=2z+x-y=0三式相加得x+y+z=8-得2z=2z=1-得2x=6x=3-得2y=8y=4x=3y=4z=1

试证明(x+y-2z)+(y+z-2x)+(z+x-2y)=3(x+y-2z)(y+z-2x)(z+x-2y)

有这样的公式:a^3+b^3+c^2-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)左边减右边,证明:(x+y-2z)^3+(y+z-2x)^3+(z+x-2y)^3-3(x+y

x,y,z正整数 x>y>z证明 x^2x +y^2y+z^2z>x^(y+z)*y^(x+z)*z^(x+y)

正整数?取对数即证:2xlnx+2ylny+2zlnz>(y+z)lnx+(x+z)lny+(x+y)lnzx>y>z,lnx>lny>lnz由排序不等式得xlnx+ylny+zlnz>ylnx+zl

2x+y+z=4 x+2y+z=8 x +y+2z=24

x=-5y=-1z=15需要过程的话再H我再问:帮我再解一道题,谢谢x+2y=3y+2z=4z+2x=5需要过程

已知x:y:z=1:2:3,x+y+z=24,求x,y,z

解∵x:y:z=1:2:3∴x=k,y=2k,z=3k∵x+y+z=24∴k+2k+3k=24即6k=24∴k=4∴x=4.y=8,z=12

x,y,z为实数且(y-z)平方+(x-y)平方+(z-x)平方=(y+z-2x)平方+(z+x-2y)平方+(x+y-

设a=x-y,b=y-z,-a-b=z-x(y-z)平方+(x-y)平方+(z-x)平方=(y+z-2x)平方+(z+x-2y)平方+(x+y-2z)平方b^2+a^2+(-a-b)^2=(-a-b-

已知x+4y+z=24,2x+7y=2z=41,求x+y+z

是不是数学大本上的一个题啊、2z=41,z=20.5x-4y=24-20.5=3.52(x-4y)-(2x+7y)=(2x-8y)-(2x+7y)=7.你题是不是打错了啊?应该是2x+7y+2z=41

{x+y+z=6,2x-y+z=3,3x+9y+z=24

x+y+z=6(1)2x-y+z=3(2)3x+9y+z=24(3)(1)-(2)得:2y-x=3(4)(3)-(1)得:2x+8y=18即x+4y=9(5)(4)+(5)得:6y=12y=2代入(4

若X.Y.z满足2X+3Y+z=18,4X-3Y+5z=24,求X+3Y的值

2X+3Y+z=18(1)4X-3Y+5z=24(2)2式相加6x+6z=42,x+z=7z=7-x(代入(1))2x+3y+7-x=18x+3y=11

已知(x+y+z)^2=x^2+y^2+z^2,证明x(y+z)+y(z+x)+z(x+y)=0

将(x+y+z)²展开有(x+y+z)²=x²+y²+z²+2xy+2xz+2yz=x²+y²+z²所以2xy+2xz+

(1){x-y=2 z-x=3 y+z=-1 (2){x-y-z=2 3x+5y+7z=24 4x-y+2z=26

1、x-y=2①z-x=3②y+z=-1③由2得Z=3+x④,吧④代入3得Y=-4-x⑤,把⑤代入1得X=-1,吧X=-1代入⑤得y=-4+1,y=5吧X=-1代入④得z=2我是初一呢、还没学到三元一

解三元一次方程组:2Z+3Y-Z=18,3X-2Y+Z=8,X+2Y+X+Z=24

2x+3Y-Z=18,(1)3X-2Y+Z=8,(2)X+2Y+X+Z=24(3)(1)+(2)得5x+y=26(4)(2)-(3)得2x-4y=-16(5)(4)×4+(5)得22x=88∴x=4y

分解因式:f(x,y,z)=x^2(y-z)+y^2(z-x)+z^2(x-y)

=x²(y-z)+y²(z-x)+z²(x-z+z-y)=(y-z)(x²-z²)+(z-x)(y²-z²)=(y-z)(x-z)

x=y/z=z/3,x+y+z =12,求2x+3y+4z是多少,

3元一次方程,好像是初一的问题哦.根据前面两个等式可以得出x=3zy=z(平方)/32x+3y+4z=2*(3z)+3*(z方/3)+4z现在变成了一元二次方程,你应该会解吧.

x/2=y/3=z/5 x+3y-z/x-3y+z

设x/2=y/3=z/5=ax=2ay=3az=5a是不是求的是:(x+3y-z)/(x-3y+z)?若是,如下:(x+3y-z)/(x-3y+z)=(2a+9a-5a)/(2a-9a+5a)=-3

(x+y-z)^2-(x-y+z)^2=?

根据公式(a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac公式展开:得到(x^2+y^2+z^2=2xy-2yz-2xz)-(x^2+y^2+z^2-2xy-2yz+2xz)合并同类项