超难的立体几何题若干个棱长为2,3,5的长方体,依相同方向拼成长为90的正方体,则正方体的一条对角线贯穿的小长方体的个数是多少?本题可以简化为拼成棱长为30的正方体,但拼凑过程很难想
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![超难的立体几何题若干个棱长为2,3,5的长方体,依相同方向拼成长为90的正方体,则正方体的一条对角线贯穿的小长方体的个数是多少?本题可以简化为拼成棱长为30的正方体,但拼凑过程很难想](/uploads/image/z/14275151-71-1.jpg?t=%E8%B6%85%E9%9A%BE%E7%9A%84%E7%AB%8B%E4%BD%93%E5%87%A0%E4%BD%95%E9%A2%98%E8%8B%A5%E5%B9%B2%E4%B8%AA%E6%A3%B1%E9%95%BF%E4%B8%BA2%2C3%2C5%E7%9A%84%E9%95%BF%E6%96%B9%E4%BD%93%2C%E4%BE%9D%E7%9B%B8%E5%90%8C%E6%96%B9%E5%90%91%E6%8B%BC%E6%88%90%E9%95%BF%E4%B8%BA90%E7%9A%84%E6%AD%A3%E6%96%B9%E4%BD%93%2C%E5%88%99%E6%AD%A3%E6%96%B9%E4%BD%93%E7%9A%84%E4%B8%80%E6%9D%A1%E5%AF%B9%E8%A7%92%E7%BA%BF%E8%B4%AF%E7%A9%BF%E7%9A%84%E5%B0%8F%E9%95%BF%E6%96%B9%E4%BD%93%E7%9A%84%E4%B8%AA%E6%95%B0%E6%98%AF%E5%A4%9A%E5%B0%91%3F%E6%9C%AC%E9%A2%98%E5%8F%AF%E4%BB%A5%E7%AE%80%E5%8C%96%E4%B8%BA%E6%8B%BC%E6%88%90%E6%A3%B1%E9%95%BF%E4%B8%BA30%E7%9A%84%E6%AD%A3%E6%96%B9%E4%BD%93%EF%BC%8C%E4%BD%86%E6%8B%BC%E5%87%91%E8%BF%87%E7%A8%8B%E5%BE%88%E9%9A%BE%E6%83%B3)
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