z=x-y的图

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(x+y-z)(x-y+z)=

[x+(z-y)][x-(z-y)]=x-(z-y)记得采纳啊

若xyz不等于0,且满足(y+z)/x=(x+z)/y=(x+y)/z,求(y+z)(x+z)(x+y)/xyz的值

设(y+z)/x=(x+z)/y=(x+y)/z=k;y+z=kx;x+z=ky;y+z=kx;2(x+y+z)=k(x+y+z);k=2或x+y+z=0;所以,(y+z)(x+z)(x+y)/xyz

x y z x+y--- = --- = ---- ----y+Z z+x x+y ,求 z 的值 .求 x+y----

x/(y+z)=y/(x+z)=z/(x+y)当x+y+z=0时,x+y=-z(x+y)/z=-z/z=-1当x+y+z≠0时,由x/(y+z)=y/(x+z)=z/(x+y)根据等比性质可得(x+y

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

若xy-z不等于0,且(y+x)/x=(z+x)/y=(y+x)/z,求[(y+z)(z+x)(x+y)]/xyz的值?

设(y+z)/x=(z+x)/y=(y+x)/z=k则y+z=kx,z+x=ky,y+x=kz三式相加2(x+y+z)=k(x+y+z)故当x+y+z=0时,k=-1,但xy-z不等于0,可知x+y+

若xyz不等于0,且(y+z)/x=(z+x)/y=(x+y)/z,求(y+z)(z+x)(x+y)/xyz的值?

令(y+z)/x=(z+x)/y=(x+y)/z=t∴y+z=xt,z+x=yt,x+y=zt三式相加得:2(x+y+z)=(x+y+z)t∴(2-t)(x+y+z)=0∴2-t=0或x+y+z=0若

已知x/z=ln(z/y),求z对x和y的偏导.

x=z(lnz-lny)=zlnz-zlny令F(x,y,z)=zlnz-zlny-xaF/ax=-1aF/ay=-z/yaF/az=lnz+1-lny所以az/ax=-Fx/Fz=1/(lnz+1-

x+y+z=14,x'+y'+z'=15,(x-x')+(y+y')+z*z'=16,已知xyz为自然数,求x,y,z的

x',y',z'是啥意思?没说是整数还是自然数,或者别的条件?(x-x')+(y+y')+z*z'=16这个式子也没有问题?条件不明确,本题有很多解.后面的两个限制条件没有用.x+y+z=14的自然数

方程组{4x-3y-3z=0,x-3y+z=0,(x.y.z不等于0),求x/z和y/z的值?

4x-3y-3z=0.1)x-3y+z=0.2)相减:3x=4zx/z=4/31)-2)*4:9y=7zy/z=7/9所以:x/z=4/3,y/z=7/9

4x-3y-3z=0 x-3y+z=0 并且X Y Z不等于0 求x:z 和y:z的值

4x-3y-3z=0(1)x-3y+z=0(2)(1)-(2):3x-4z=0x=4z/3代入(1):16z/3-3y-3z=0y=7z/9所以:x:z=4:3y:z=7:9

已知:(x+y)/z=(x+z)/y=(z+y)/x,且xyz不等于0,则分式(x+y)(x+z)(z+x)/xyz的值

(x+y)/z=(x+z)/y=(z+y)/xx,y,z等价x=y=z(x+y)(x+z)(z+x)/xyz=8

若x-y=6,xy=-8,求代数式(x+y+z)²+(x-y-z)(x-y+z)-2·z(x+y)的值

(x+y+z)²+(x-y-z)(x-y+z)-2·z(x+y)=(x+y)²+2z(x+y)+z²+(x-y)²-z²-2z(x+y)=(x+y)&

已知x,y,z为非零实数,且满足x+y-z/z=y+z-x/x=z+x-y/y 求x+y+z/z的值

x+y-z/z=y+z-x/x=z+x-y/y,应用等比定理,得(x+y-z+y+z-x+z+x-y)/(x+y+z)=(x+y-z)/z,所以(x+y+z)/(x+y+z)=(x+y-z)/z,即1

挺急的~已知Z分之X+Y-Z=y分之X-Y+Z=X分之-X+Y+Z且XYZ分之(X+Y)(X+Z)(Y+Z)=-1.x+

(x+y-z)/z=(y+z-x)/x=(z+x-y)/y[x+y]/z-1=[y+z]/x-1=[z+x]/y-1[x+y]/z=[y+z]/x=[z+x]/y设[x+y]/z=[y+z]/x=[z

已知x=2,x+y+z=-2.8,求x^2(-y-z)-3.2x(z+y)的值

答:x=2,x+y+z=-2.82+y+z=-2.8y+z=-4.8x²(-y-z)-3.2x(z+y)=-x(y+z)(x+3.2)=-2×(-4.8)×(2+3.2)=9.6×5.4=5

x+y+z=1 求xyz/(x+y)(y+z)(z+x)的最大值

x+y大于等于2倍根号下xy同理x+z大于等于2倍根号下xzz+y大于等于2倍根号下zy所以(x+y)(y+z)(z+x)大于等于8xyz当取到8xyz时分数值最大为1/8此时x=1/3y=1/3z=

x,y,z分别代表三个不同的数,且X+X=x=y+y,y+y+y+y=z+z+z,x+y+y+z=60 ,那么Y+X+Z

就是个三元一次方程组,解出来x=10y=20z=15x+y+z=45

X+Y+Z=?

X+Y+Z