观察下列算式,你发现了什么规律?1^2=1×2×3/6;1^2+2^2=2×3×5/6;1^2+2^2+3^2=3×4×7/61^2+2^2+3^2+4^2=4×5×9/6 ……(1)你能用一个算式表示这个规律吗?(2)根据你的发现,计算1^2+2^2+3^2+……+8^2
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/11 11:25:30
![观察下列算式,你发现了什么规律?1^2=1×2×3/6;1^2+2^2=2×3×5/6;1^2+2^2+3^2=3×4×7/61^2+2^2+3^2+4^2=4×5×9/6 ……(1)你能用一个算式表示这个规律吗?(2)根据你的发现,计算1^2+2^2+3^2+……+8^2](/uploads/image/z/3944979-27-9.jpg?t=%E8%A7%82%E5%AF%9F%E4%B8%8B%E5%88%97%E7%AE%97%E5%BC%8F%2C%E4%BD%A0%E5%8F%91%E7%8E%B0%E4%BA%86%E4%BB%80%E4%B9%88%E8%A7%84%E5%BE%8B%3F1%5E2%3D1%C3%972%C3%973%2F6%EF%BC%9B1%5E2%2B2%5E2%3D2%C3%973%C3%975%2F6%EF%BC%9B1%5E2%2B2%5E2%2B3%5E2%3D3%C3%974%C3%977%2F61%5E2%2B2%5E2%2B3%5E2%2B4%5E2%3D4%C3%975%C3%979%2F6+%E2%80%A6%E2%80%A6%EF%BC%881%EF%BC%89%E4%BD%A0%E8%83%BD%E7%94%A8%E4%B8%80%E4%B8%AA%E7%AE%97%E5%BC%8F%E8%A1%A8%E7%A4%BA%E8%BF%99%E4%B8%AA%E8%A7%84%E5%BE%8B%E5%90%97%3F%EF%BC%882%EF%BC%89%E6%A0%B9%E6%8D%AE%E4%BD%A0%E7%9A%84%E5%8F%91%E7%8E%B0%2C%E8%AE%A1%E7%AE%971%5E2%2B2%5E2%2B3%5E2%2B%E2%80%A6%E2%80%A6%2B8%5E2)
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