若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?求详若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/07 15:45:49
若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?求详若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?若实数x.y.z满足x+2y

若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?求详若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?
若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?求详
若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?

若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?求详若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?
a^2/14
用柯西不等式
(x^2+y^2+z^2)*(1+4+9)>=(x+2y+3z)^2=a^2
所以x^2+y^2+z^2>=a^2/14 (当且仅当x=y/2=z/3 即x=a/14 y=a/7 z=3a/14时取等)

若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为?求详若实数x.y.z满足x+2y+3z=a〈a为常数〉则x∧2+y∧2+z∧2最小值为? 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x+y=5,z的平方=xy+y-9,那么x+2y+3z=( ) 若实数x,y,z满足方程组 xy/﹙x+2y﹚=1① yz/﹙y+2z﹚=2② zx/﹙z+2x﹚③ 则若实数x,y,z满足方程组 xy/﹙x+2y﹚=1① yz/﹙y+2z﹚=2② zx/﹙z+2x﹚③ 则A.x+2y+3z=0 B.7x+5y+2z=0 C.9x+6y+sz=0 D.10x+7y+z 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 已知实数x,y,z满足:|4x-4y+1| + 1/3根号2y+z +z的平方- z + 1/4 = 0,求(y+z)乘x平方 的值.:(1)(2)(3)(4) 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 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 若实数x,y,z满足x+y+z=4[√(x-5)+√(y-4)+√(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满足关系式2x-3y-z=0,x-2y+z=0,求x比y比z的值 已知实数 x y z 满足x+y-z=0 ,3x-y+2z=0 则x :y :z 若实数x,y,z满足x+2y+3z=a(a为常数),则x^2+y^2+z^2的最小值为? 已知实数x、y、z,满足3x-2y-4z=-9且x+2y-4z=5,试求出x^2+y^2+z^2的最小值 若X Y Z 满足方程组 X-2Y+3Z=0 2X-3Y+4Z=0 则 X:Y:Z =? 8、若 y,z均为质数,x=yz且 x,y,z 满足 1/x+1/y=3/z,则1998x+5y+3z=若a,b,c均为质数,x=yz且x,y,z满足1/x+1/y=3/z,则1998x+5y+3z= 若实数x,y,z满足x+y+z=5,xy+yz+xz=3,求z的最大值