a^2+b^2+c^2=1,x^2+y^2+z^2=9,则ax+by+cz的最大值为______最好详解.

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a^2+b^2+c^2=1,x^2+y^2+z^2=9,则ax+by+cz的最大值为______最好详解.
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a^2+b^2+c^2=1,x^2+y^2+z^2=9,则ax+by+cz的最大值为______最好详解.
a^2+b^2+c^2=1,x^2+y^2+z^2=9,则ax+by+cz的最大值为______
最好详解.

a^2+b^2+c^2=1,x^2+y^2+z^2=9,则ax+by+cz的最大值为______最好详解.
由柯西不等式,有:(a^2+b^2+c^2)*(x^2+y^2+z^2)>=(ax+by+cz)^2,即:(ax+by+cz)^2<=1*9=9,即ax+by+cz<=3

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