举一反三
- 设[tex=3.857x1.0]ooePFz0xjtusf6vpqQWa8A==[/tex], 证明[tex=6.071x1.5]jSQkp3AY1dfhljvrYqoI9+20CYhQPrsPY6WJKdiMWVU=[/tex] 其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]为非负整数。
- 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]）.
- 若 [tex=8.571x2.857]pfgA/HCz+2/+OBaPhuXgpwau0q6kdrhIWS9Qmf1Nco6Z7jBnyP+MVS6WDKxhEp1S[/tex], 则 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 的值为 A: 0 B: 1 C: -1 D: 0 或 1
- 假设 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 是[tex=2.429x1.071]fYRl1cpBZV0k8ULAvI7FIg==[/tex]矩阵，试证:a) 对任意常数 [tex=2.571x1.0]VtY7jm6mc9rzSkWtkYe1NLpnuWB7PUTxqEY9UAy25cI=[/tex] 都有[tex=14.643x1.357]yhC9Vgi5kFQN6aI/CUtvlMWSdKde9g7Ys1XchUj0pwQCXAEJtfAZY5zTEHfYhL/AzIx9Ex1xfNhYMIs4X6yL8CXjg6rrtN3nVXtOXtroS7k=[/tex]b) 对任意整数 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] ,都有[tex=7.571x1.5]fQhSsBIjr0fi1PAOcGDZgnjcVNBezzcaM2QJuQ6VfC8=[/tex]( 当[tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex]是负整数时， 规定[tex=10.5x1.786]wiQyS+D4jxoqMG/+eBuXLcPLSSGKOnNKFNz4ahU1kLHIxNIgDCUTNuDb3G2FmBvQLnGxwWgC3ZTOjfpAYEo3HQ==[/tex])
- 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].
内容
- 0
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.
- 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=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数，证明:[tex=7.286x2.714]WdYFOXfG5nnGW/WgiEfXS7KSJGNH9TOu8OctQH+TBUAmN+2wRfhYp9VdsOm9mviu[/tex].
- 3
计算下列矩阵的 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 次幂, 其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数:[tex=7.929x4.786]SG13E7iu2HdaLVWfWJMdasNcssnOsnpcSXP9pfv8ZVudX8uBxPyIW+BW1iuKqBWPQy19xF0hvC5K+ZJXm49WVAb1VZdwsjQNiE6Ohf5lij4=[/tex]
- 4
计算下列矩阵的 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 次幂, 其中 [tex=0.571x1.0]rFc/sfAAuCOtzhevhoREeA==[/tex] 为正整数:[tex=8.286x3.5]QN0fTQbn6M33pU3gx/S2ssRzVqpWUEMlPB1F8em9pxPHPIIzaitaqaXj3OkAP2YhwLgtNTq7mVpRVmzCUDjgMxeK0fRBchQXdLQiPBE6zvU4+B34aF8ZRVS24QkM3V+Y[/tex]