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?
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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?
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