• 2022-06-15
    设 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数,证明:[tex=7.286x2.714]WdYFOXfG5nnGW/WgiEfXS7KSJGNH9TOu8OctQH+TBUAmN+2wRfhYp9VdsOm9mviu[/tex].
  • [tex=28.286x2.857]WdYFOXfG5nnGW/WgiEfXS7KSJGNH9TOu8OctQH+TBUDhpKCL8wDQ54SAV2+GOesz2nAxCc3DrXvk74iRHhz1pMhNLWP8fzErt730bojjeypZB5Vcwp2rvPhLqOYlvcokkTMkTx4s8myJjwqe+X63FLgDOPwZJxWOOt4kaITubXRjukIt9/IdwwfH4ZGY7oYCE9T8T5oPPf+tDnAQ2AJv/1TTryHtP2veMIDOzeRQp/c=[/tex].

    内容

    • 0

      证明一个 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 一循环置换的阶是 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex].

    • 1

      [tex=0.571x1.0]FGGpnaR8m8C48rN8O0c7aw==[/tex]是不等于 2 和 5 的质数,[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 是自然数,证明:[tex=5.143x2.643]9ZG142R87UZpWk+DznzbSQal4BSvAr69lHZKETg6dhBcGaNQr9t99v+4iW7u7hVUeO+W/nUuchAm9kbqae1S7A==[/tex]

    • 2

      设 [tex=0.786x1.0]LyvDGollVJ+xwurtsLcn0g==[/tex]是 [tex=0.643x0.786]/he/ol8BkDuTTL9yMPtH4Q==[/tex] 阶自补图,证明 [tex=3.0x1.0]DhaELq4wJxZJd2DJ8bkZwQ==[/tex] 或 [tex=3.714x1.143]TKXUKian/ZFe5Q8NhgCkUQ==[/tex] ,其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数.

    • 3

      从 [tex=2.286x1.0]Tv9J6hl5OfwCno6jJv7xtw==[/tex] 的整数中取一个数,若取到整数 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 的概率与 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 成正比,求取到偶数的概率.

    • 4

      假设[tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex]是[tex=2.429x1.071]fYRl1cpBZV0k8ULAvI7FIg==[/tex]矩阵,试证:对任意整数[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex],都有[tex=7.714x1.5]wiQyS+D4jxoqMG/+eBuXLQOMSIjzFckfsGPR4aGujdk=[/tex].(当[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]是负整数时,规定[tex=10.857x1.786]wiQyS+D4jxoqMG/+eBuXLcPLSSGKOnNKFNz4ahU1kLHIxNIgDCUTNuDb3G2FmBvQLnGxwWgC3ZTOjfpAYEo3HQ==[/tex]).