已知z=x²y ye

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已知x+y-z/z=x-y+z/y=-x+y+z/x,且xyz不等于0,求分式[(x+y)(x+z)(y+z)]/xyz

(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,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

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

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

已知4x-3y-3z=0,x-3y+z=0(z不等于0)求x:z,y:z

两式相减,得3x-4z=0x=4/3zx:z=4:3代入,得y=7/9zy:z=7:9

已知 x/(y+z)+y/(z+x)+z/(x+y)=1

因为x/y+z+y/z+x+z/x+y=1所以x/y+z=1-y/z+x-z/x+y,两边同乘以x得x^2/y+z=x-xy/z+x-xz/x+y同理y^2/x+z=y-xy/z+y-yz/x+y,z

1.已知x,y,z满足2│x-y│+(根号2y-z)+z平方-z+(1/4)=0,求x,y,z值.

1.z²-z+1/4=(z-1/2)².绝对值、根号、平方数都是非负的,而相加为0.所以都为0.即x=y,2y=z,z=1/2.所以x=y=1/4,z=1/2.2.2002x200

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

已知:(x+y-z)/z=(x-y+z)/y+(y+z-x)/x,且xyz≠0,求代数式[(x+y)(y+z)(x+z)

设x+y-z/z=x-y+z/y=y+z-x/x=k有x+y-z=kzx-y+z=kyy+z-x=kx三式相加得x+y+z=k(x+y+z)k=1得x+y=(k+1)zx+z=(k+1)yy+z=(k

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+

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

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

已知x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求代数式x2/(y+z)+y2/(x+z)+z2/

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

已知实数x,y,z满足x/(y+z)+y/(z+x)+z/(x+y)=1,求x2/(y+z)+y2/(z+x)+z2/(

等于0.x/(y+z)=1-[y/(z+x)+z/(x+y)]y/(z+x)=1-[x/(y+z)+z/(x+y)]z/(x+y)=1-[x/(y+z)+y/(z+x)]x2/(y+z)+y2/(z+

已知4x-3y-3z=0,① x-3y+z=0,②并且z不等于0,求x:z与y:z

4x-3y-3z=0①x-3y+z=0②①-②,得3x-4z=03x=4z由于z不等于0,故有x:z=4:3同理可得:①-4②,得9y-7z=09y=7zy:z=7:9

已知方程组3x+5y+3z=0,3x-5y-8z=0,并且z≠0,求x:z和y:z

两式相加,得6X-5Z=0即X=5Z/6,即X/Z=5/6.再将X=5Z/6代入式1,得5Y+11Z/2=0得Y/Z=-11/10

已知x-y=2.8y+z=9.2x+z=3x

没想到现在五年级的题这么难啦.第一个式子和第二个式子两边同时相加,得到:x+z=12.与第三个式子比较,发现:3x=12.即,x=4.这样,代入第一个式子,y=4-2.8=1.2.再将求出的y代入第二