证明有无穷多的三角数是平方数令Sn=1+2+3+4+……+n,有些三角数是平方数,如S8=6方,S49=35方,证明有无穷多的三角数是平方数.
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![证明有无穷多的三角数是平方数令Sn=1+2+3+4+……+n,有些三角数是平方数,如S8=6方,S49=35方,证明有无穷多的三角数是平方数.](/uploads/image/z/3719293-61-3.jpg?t=%E8%AF%81%E6%98%8E%E6%9C%89%E6%97%A0%E7%A9%B7%E5%A4%9A%E7%9A%84%E4%B8%89%E8%A7%92%E6%95%B0%E6%98%AF%E5%B9%B3%E6%96%B9%E6%95%B0%E4%BB%A4Sn%3D1%2B2%2B3%2B4%2B%E2%80%A6%E2%80%A6%2Bn%2C%E6%9C%89%E4%BA%9B%E4%B8%89%E8%A7%92%E6%95%B0%E6%98%AF%E5%B9%B3%E6%96%B9%E6%95%B0%2C%E5%A6%82S8%3D6%E6%96%B9%2CS49%3D35%E6%96%B9%2C%E8%AF%81%E6%98%8E%E6%9C%89%E6%97%A0%E7%A9%B7%E5%A4%9A%E7%9A%84%E4%B8%89%E8%A7%92%E6%95%B0%E6%98%AF%E5%B9%B3%E6%96%B9%E6%95%B0.)
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