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+z=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 19:37:17
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+z=已知实数x,y,z满足:x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,则

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+z=
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+z=

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+z=
令x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3=m,则
x=(x+1)m,y=(y+2)m,z=(z+3)m,x+y+z=3m
前三式相加得
x+y+z=(x+y+z+6)m
将x+y+z=3m代入得
3m=(3m+6)m
m=(m+2)m
(m+2)m-m=0
m(m+1)=0
m=0或m=-1
所以x+y+z=3m=0或-3

已知实数X.Y.Z满足(Y+Z)分之X+(Z+X)分之Y+(X+Y)分之Z=1,则(Y+Z)分之X平方+(Z+X)分之Y平方+(X+Y)分之Z平方的值为( ) 已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值 已知实数x y z满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3,求x+y+z的值 已知实数x,y,z满足2x(x+1/Y+1/Z)=yz,则(x+1/Y)(X+1/Z)的最小值 已知实数xyz满足x/y+z+y/z+x+z/x+y=1求x^2/y+z+y^2/z+x+z^2/x+y的值 纠正下!:已知实数xyz满足(x/y+z)+(y/z+x)+(z/x+y)=1求(x^2/y+z)+(y^2/z+x)+(z^2/x+y)的值 已知实数xyz满足x/(x+1)=y/(y+2)=z/(z+3)=(x+y+z)/3求x+y+z的值 已知实数x,y,z满足x+y+z=2根号x-1+2根号y-1+2根号z-1求X+2Y+3Z 已知实数X,Y,Z,满足X^2-2X+Y=Z-1,且X+Y^2+1=0,试比较X,Y,Z的大小. 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+z= 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+z= 已知正实数x,y,z 满足2x(x+1/y+1/z)=yz,,则(x+1/y)(x+1/z) 的最小值为 . 已知实数x,y,z满足2|x-y|+√2y+z+z2-z+1/4=0求x+y+z的值 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/(x+y)的值 已知实数x,y满足约束条件x+y=1,y>=1,则z=y/x的最小值 已知实数x、y、z,满足x+y+z=7, 已知实数x,y,z,满足那么x+y=6,z^2=xy-9,求(x+y)^z 已知实数x,y,z满足x+y+z=1,x^2+y^2+z^2=1/2求X,Y,Z∈{0,2/3},已知实数x,y,z满足x+y+z=1,x^2+y^2+z^2=1/2求证X,Y,Z∈{0,2/3}, 已知实数x.y.z满足4x-4y+1的绝对值加3分之一的2y+z的平方根+z的平方-2z+1=0.求(y+x)乘x的平方