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问题描述:
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2²+1²___2×2×1
(-3)²+(-4)²______2×(-3)×(-4)
(1/5)²+(1/10)²_______2×1/5×1/10
(-1/3)²+(-1/3)²_______2×(-1/3)×(-1/3)
通过观察以上酸式,请你用字母表示上面算式中蕴含的规律..
重要的不是前几问...规律一定写明白
答
2²+1²>2×2×1 (-3)²+(-4)²>2×(-3)×(-4) (1/5)²+(1/10)²>2×1/5×1/10 (-1/3)²+(-1/3)²=2×(-1/3)×(-1/3) a²+b²≥2ab,并且a=b时,a²+b²=2ab 证明:因为(a-b)²≥0 故:a²+b²-2ab≥0 故:a²+b²≥2ab