已知实数x y z满足
已知实数x,y,z满足xy/x+y=2,xz/x+z=3,yz/y+z=4 求7x+...
由xy/x+y=2,xz/x+z=3,yz/y+z=4得1/x+1/y=1/21/x+1/z=1/31/y+1/z=1/4解得1/x=7/241/y=5/241/z=1/...
已知实数x,y,z满足: x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z...
∴[(x+1)+(y+2)+(z+3)]/(x+y+z)=3/(x+y+z)(x+y+z+6)/(x+y+z)=3/(x+y+z)x+y+z+6=3∴x+y+z=...
已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3...
(x+y+z)/(x+y+z+6)=(x+y+z)/3 设x+y+z=t t/(t+6)=t/3 t^2+3t=0 t=0或t=-3 即x+y+z的值为0或-...
已知实数X,Y,Z满足X+1/Y=2Y+1/Z=3Z+3/X=K,且XYZ=3,求K...
解：∵x+1/y=2y+1/z=3z+3/x=k，且xyz=3，∴x=k-1/y ①，3z+3/x=3z+xyz/x=3z+yz=k，∴1/z=(y+3)/k ②...
已知实数x,y,z满足 ,求 的值
解：∵ ，∴ =1-（ + ）， =1-（ + ）， =1-（ + ），∴ =x +y +z =x[1-（ + ）]...
已知实数x,y,z满足x+y - z=0,3x - y+2z=0,则x:y:z=? 回答者...
解：x+y-z=0 (1)3x-y+2z=0 (2)(1)+(2)4x+z=0 z=-4x 代入(1)x+y-4x=0 y=3x x：y：z=x：(3x)：...
已知实数x、y、z满足:x+y+z=3,x^2+y^2+z^2=7,1/x+1/y+...
^2=x^2+y^2+z^2+2xy+2yz+2xz=9 得xy+yz+xz=1 1/x+1/y+1/z=5 => xyz=0.2 将（x+y+z)^3=27展开 ...
已知实数x、y、z满足x/x+1=y/y+2=z/z+3=x+y+z/3,则x+y...
y=2x,然后代入x/(x+1)=(x+y+z)/3得x/(x+1)=(6x)/3=2x 得到x=0或x=-1/2因此x+y+z=0或-3 ...
已知实数x,y,z满足x - 1=y+3=(z - 1)/2,求x^2+y^2+yz的最小...
由题知，已知实数x y z 满足x-1=y+3=(z-1)/2 x=(z+1)/2 y=(z-7)/2 所以 x^2+y^2+yz =(z+1)^2/4+(z...
已知实数x,y,z满足
z^2-z+1/2=(z-1/2)^2=0 得出，z=1/2，y=-1/4，x=-1/2 (y+z)*z^2=(1/2-1/4)*(1/2)^2=1/16 ...