设点[tex=0.786x1.0]YEkxBRWVe8SyiK/VG6WTCQ==[/tex]是平面上正多边形[tex=5.0x1.214]hr8q1QTeQRAae5CJZ5O3GFYwt6yWSIH+KEzYDFw1A9U=[/tex]的中心，证明[tex=16.0x1.857]i7vzbtmrNnPXa6DLYXijkPm3C/9ldmJHOJB4w50jNnZaaMzUOuYa8F1vNOyJ7DAqXY5w4TeKfezwozQvCA5ZAHxPK7SPPJbzNYKhcyU+AwTkfl7rMsg8a1d/wMKy2tgi5+qQmZdWzs8ps4+HzwqEELNknwBOtzUeT9eJ4uRWd5Q=[/tex]

2022-10-25

设点[tex=0.786x1.0]YEkxBRWVe8SyiK/VG6WTCQ==[/tex]是平面上正多边形[tex=5.0x1.214]hr8q1QTeQRAae5CJZ5O3GFYwt6yWSIH+KEzYDFw1A9U=[/tex]的中心，证明[tex=16.0x1.857]i7vzbtmrNnPXa6DLYXijkPm3C/9ldmJHOJB4w50jNnZaaMzUOuYa8F1vNOyJ7DAqXY5w4TeKfezwozQvCA5ZAHxPK7SPPJbzNYKhcyU+AwTkfl7rMsg8a1d/wMKy2tgi5+qQmZdWzs8ps4+HzwqEELNknwBOtzUeT9eJ4uRWd5Q=[/tex]

答案：

由正多边形中心的性质可知.[tex=8.714x1.214]5mzCxSGGcW6fvztROCew0RG0CRigWIJyEQokXrvZsZZdU9F1HRNZbCFjZ7WjFWed[/tex]，因此，[tex=2.0x1.857]i7vzbtmrNnPXa6DLYXijkMypeKUHJFbfn8LlhJmsndk=[/tex]可表示成[tex=9.071x1.857]i7vzbtmrNnPXa6DLYXijkIgYRJU8ylMANRfoc9UyWUXQgjoh+aabH3SC0SUduvl0AkLcBKukOFAlfUsC5B+FdRcEG2OEcVoyffwPsXgDxgY=[/tex]，容易得出[tex=2.5x1.214]VPV+DVsCSv6Bd5zzUqAf1w==[/tex]，同样[tex=11.071x8.786]Ck4j1YFlvVH5wCAykOEMizmLHK1K+Z4ChFiV+P89bx9x0aW316202u68DtMELoQj5hI3q/FpykxS0rUmq6h5P61mmGX4ak/w6wP4hqQyr10JWB/9skH0SPQfQ86Tcn6A6rvONnoYjzlMEarIW8+Hvvio4G2IZRmLCB/pIf/HI7zjzJgM+vmCp82X0IrDUevoflZcVFvbgAkYg/36dbTVN2wXE2fKmuWFHE8DynMnH9mHOQf2MczlswrZZAeRZyj+XsEB1DdnT2ALtwy5RLQFFQnIw489O9BPojA8qVpnbuWjFyrtn7syhU7d5O8H+qJ1zHBKbIvZShXvzPlI+uri2I2A7kuxJGymqgaIkwAEP05EpmB6bTgAJhHMy2cM1mEOCPYI4c4eo9PgTq5w0tNX63jbSAOZorqKqxK3jqSi0aVULvpFx6ui31xme7wGeU6z7aDcq6XM3D/e1K1eYUI2ejPd1hs0wZx30uP+sQNW2Ag=[/tex],左右两边分别相加可得[tex=27.929x2.786]XITVkwhsAJqTZdoWrkaEpD+HMnRi5arYJsATRAoR3n4fF6KAoy/3WZLzweJPDW3jR0fb1FptzFPtVShkT1Wo0pg/AQkJzjYvvqhYwIiXW6Kwlmt7lQPxp6mbPe02BUrVmVwKyTxJGkZnBCPdzIRhxIpvir7qTPmJF4JLCevpfAQsZt3p96XxphlbWCzyMpRN4zkhA6xLCI3Tn6dUrg5JBi8rW8RU4D9fuP/Kmqo7Bc2I1ydHicF/MR9USIOO5GL/LECrVDRn4v0nqY1t3reh9Q==[/tex]又因为[tex=2.5x1.214]VPV+DVsCSv6Bd5zzUqAf1w==[/tex]，因此为使上式成立，只能有[tex=12.786x1.857]i7vzbtmrNnPXa6DLYXijkIgYRJU8ylMANRfoc9UyWUWkwUD3oJM45Dh9ElToaDMIlI7zZ4GDEQiNfKiAEOJ/M1Y7qgt1kDfGBVxlohhDR+K2voH4O6G70n07ogrLELUW[/tex]，原命题得证.

举一反三

内容

0
【阅读理解（选择）/完型填空】基于以下描述回答 1-2 题: 下表是 9 名评委对 10 名学生的毕业设计进行等级评定结果: 评委 A B C D E F G H I J 1 1 2 4 3 9 6 5 8 7 10 2 1 4 2 5 6 7 3 10 8 9 3 1 3 4 5 2 8 9 6 10 7 4 1 3 4 5 2 6 10 8 7 9 5 1 9 2 5 6 3 4 8 10 7 6 1 4 9 2 5 6 7 3 10 8 7 1 3 5 10 2 6 9 7 8 4 8 1 3 5 7 6 4 8 10 2 9 9 1 2 8 4 9 6 3 7 5 10
1
set1 = {x for x in range(10)} print(set1) 以上代码的运行结果为？ A: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} B: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10} C: {1, 2, 3, 4, 5, 6, 7, 8, 9} D: {1, 2, 3, 4, 5, 6, 7, 8, 9,10}
2
设点[tex=0.786x1.0]YEkxBRWVe8SyiK/VG6WTCQ==[/tex]是平面上正多边形[tex=5.0x1.214]hr8q1QTeQRAae5CJZ5O3GFYwt6yWSIH+KEzYDFw1A9U=[/tex]的中心，证明[tex=16.0x1.857]i7vzbtmrNnPXa6DLYXijkPm3C/9ldmJHOJB4w50jNnZaaMzUOuYa8F1vNOyJ7DAqXY5w4TeKfezwozQvCA5ZAHxPK7SPPJbzNYKhcyU+AwTkfl7rMsg8a1d/wMKy2tgi5+qQmZdWzs8ps4+HzwqEELNknwBOtzUeT9eJ4uRWd5Q=[/tex]
3
>>>x= [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9]>>>print(x.sort()) 语句运行结果正确的是( )。 A: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10] B: [10, 6, 0, 1, 7, 4, 3, 2, 8, 5, 9] C: [10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0] D: ['2', '4', '0', '6', '10', '7', '8', '3', '9', '1', '5']
4
以下程序的输出结果是___________。for i in range(1,11): print(i, end = " ") A: 1 2 3 4 5 6 7 8 9 B: 1 2 3 4 5 6 7 8 9 10 C: 1 2 3 4 5 D: 1 3 5 7 9