化简过程谢谢
2个回答
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根号不好打,我就省略了,就看根号内, x平均也打不出来,我就写成x0 了
1/6 [(x1-x0)^2 + (x2-x0)^2 + ... + (x6-x0)^2]
= 1/6 [ x1^2 - 2x0x1 + x0^2 + x2^2 -2x0x2 + x0^2 + .... + x6^2 - 2x0x6 + x0^2]
= 1/6 [ (x1^2 + x2^2 + ... + x6^2) - 2x0(x1+x2+...+x6) + 6x0^2]
其中, x1+x2+...+x6 = 6x0
原式 = 1/6 [(x1^2 + x2^2 + ... + x6^2) - 12x0^2 + 6x0^2]
= 1/6 [(x1^2 + x2^2 + ... + x6^2) - 6x0^2]
= 1/6 (x1^2 + x2^2 + ... + x6^2) - x0^2
1/6 [(x1-x0)^2 + (x2-x0)^2 + ... + (x6-x0)^2]
= 1/6 [ x1^2 - 2x0x1 + x0^2 + x2^2 -2x0x2 + x0^2 + .... + x6^2 - 2x0x6 + x0^2]
= 1/6 [ (x1^2 + x2^2 + ... + x6^2) - 2x0(x1+x2+...+x6) + 6x0^2]
其中, x1+x2+...+x6 = 6x0
原式 = 1/6 [(x1^2 + x2^2 + ... + x6^2) - 12x0^2 + 6x0^2]
= 1/6 [(x1^2 + x2^2 + ... + x6^2) - 6x0^2]
= 1/6 (x1^2 + x2^2 + ... + x6^2) - x0^2
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