设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/07 15:24:39
设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.设实数x
设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.
设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.
设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.
由柯西不等式
(x²+ y² +z²)*(1+ 1+ 4)=6(x²+ y²+z²)≥(x+ y+ 2z)²=36即x²+y²+z²≥1/6等号在x:y:z=1:1:4取得成立 x=y=z/4即z=12/5 ,x=y=3/5
设实数x,y,z满足x+y+2z=6,求的x*x+y*y+z*z最小值,并求此时x,y,z的值.
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/(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x,y,z均为实数,且满足:x+2y-z=6,x-y+2z=3.求x+y+z的最小值
实数x、y、z同时满足x^3+y=3x+4;2y^3+z=6y+6;3z^3+x=9z+8设实数x、y、z同时满足x^3+y=3x+4;2y^3+z=6y+6;3z^3+x=9z+8,试求2009(x-1)^2+2010(y-1)^2+2011(z-1)^2的值
设实数X.Y.Z,满足Y+Z=6-4X+3X^2,X-Y=4-4X+X^2,求X.Y.Z的大小关系
已知实数x,y,z满足x=6-y,z^2-4z+4=xy-9,求x,y,z的值
已知实数x,y,z满足x=6-y,z^2-4z+4=xy-9,求x,y,z的值.
设正实数x,y,z满足x+2y+z=1,则1/(x+y)+9(x+y)/(y+z)的最小值
若实数XYZ满足2|x-y|+√2y+z+z方-z+1//4=0 求X+Y+Z 2y+z在根号里
:设X,Y,Z是正实数,满足XY+Z=(X+Z)(Y+Z),则XYZ的最大值是
设实数x,y,z满足x+y=z-1,且xy=z²-7x+14 ,试求z的最大值和最小值
设实数x,y,z满足x+y=z-1,且xy=z²-7x+14 ,试求z的最大值和最小值
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满足关系式2x-3y-z=0,x-2y+z=0,求x比y比z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