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数学
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给出下列算式:3²-1²=8×1,5²-3²=16=8×2,7²-5²=24=8×3…………
(1)观察上面一系列算式,你发现了什么规律?
(2)用你观察到的规律,计算 2011²-2009².
人气:305 ℃ 时间:2019-08-25 02:35:59
解答
(n+2)²-n²=8×(n+1)÷2
2011²-2009²=8×(2009+1)÷2=8040
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