a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?

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a^2+b^2+c^2=25x^2+y^2+z^2=36ax+by+cz=30(a+b+c):(x+y+z)=?a^2+b^2+c^2=25x^2+y^2+z^2=36ax+by+cz=30(a+b+

a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?
a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?

a^2+b^2+c^2=25 x^2+y^2+z^2=36 ax+by+cz=30 (a+b+c):(x+y+z)=?
(a+b+c):(x+y+z)=5:6

柯西不等式
(a^2+b^2+c^2)(x^2+y^2+z^2)>=(ax+by+cz)^2
等号成立当且当
a/x=b/y=c/z
25*36=30*30
所以等号成立
a/x=b/y=c/z=(a+b+c)/(x+y+z)=5/6

是道老题

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