A题：工件的检验00804.doc

数模竞赛A题某种工件为圆形, 半径为10mm0.1mm, 超出此范围即为次品。 测量仪器自动在每个工件的圆周上测量36个数据。假定测量出的二维数据 (, ) 是足够精确的，要求建立一个合理的检验正/次品的模型，对每个工件的36个数据进行计算后给出判断。下面是5个工件的测量文件, 存放顺序为(, )，(, )，(, )(, )，(, )，(, )(, )，(, )，(, )(, )，(, )，(, )(, )，(, )，(, )其中表示第个工件第个测量数据 (15, 136)。如第一个工件中31.270, 34.290, 31.227, 36.554, , 30.964, 31.517, 31.105, 32.743。 第一个工件31.270 34.290 31.227 36.554 30.660 38.20530276 39.375 29.134 40.928 27.808 42.31726.078 43.503 24928 43.922 22.922 44.47821.188 44.713 19.454 44.459 18.096 44.12616.016 43.195 14.963 42.265 13.513 40.77012.954 39.891 11.957 38.060 11.578 36.18611.420 34.289 11.555 32.551 12.162 30.91912.732 29.450 13.963 27.973 14.615 27.14116.495 25.853 17.972 25.318 19.971 24.72821.712 24.648 23.274 24.806 24.441 25.16626.647 26.181 27.860 27.163 28.981 28.24430.202 29.937 30.964 31.517 31.105 32.743第二个工件 32.303 18.082 32.496 19.968 32.622 21.015 33.623 23.257 34.561 24.304 35.930 25.629 37.209 26.523 38.462 27.116 40.631 27.703 42.182 27.989 44.273 27.749 45.736 27.168 47.117 26.457 48.935 25.409 49.970 24.216 50.902 22.743 51.420 21.642 52.157 19.489 52.230 18.260 52.090 16.517 51.594 14.296 50.731 12.772 49.686 11.152 48.322 10.049 47.117 26.457 45.783 8.528 44.249 8.184 42.529 7.963 40.278 8.116 39.064 8.313 36.870 9.408 35.540 10.533 34.761 11.227 33.576 12.738 32.880 14.151 32.407 16.009第三个工件 14.711 2.000 14.761 3.401 15.317 5.612 16.053 7.212 17.346 8.646 18.274 9.691 19.731 10.653 21.289 11.446 23.158 11.910 24.552 12.068 26.627 11.773 28.488 11.307 29.711 10.633 31.135 9.636 32.483 8.281 33.318 7.368 34.007 5.562 34.685 3.577 34.629 2.346 34.526 0.083 33.938 1.721 33.252 3.327 32.678 4.212 31.481 5.501 29.447 6.877 27.990 7.476 26.819 7.840 25.080 8.114 22.826 7.779 21.278 7.476 19.723 6.667 18.537 5.923 17.294 4.693 16.228 3.107 15.293 1.434 14.920 0.447第四个工件 13.873 37.357 13.651 35.092 13.164 33.406 12.605 32.311 11.671 31.046 10.304 29.452 8.537 28.306 7.097 27.660 5.903 27.375 3.993 27.143 1.924 27.436 0.103 27.986 1.153 28.572 2.857 29.768 3.856 30.742 4.972 32.508 5.387 33.463 6.138 35.605 6.192 36.832 6.045 39.278 5.671 40.265 4.835 42.178 3.985 43.278 2.810 44.543 1.430 45.581 0.533 46.722 2.434 47.033 4.165 47.100 5.570 47.115 6.936 46.778 8.776 45.769 10.028 45.130 11.382 43.757 12.243 42.446 13.147 40.763 13.517 39.243第五个工件 27.356 6.440 27.205 7.650 26.732 9.317 26.278 10.831 25.318 12.305 24.111 13.585 22.316 14.668 21.077 15.283 18.740 15.885 17.017 16.019 15.642 15.852 14.253 15.664 12.237 14.623 11.060 13.875 9.972 12.746 8.607 10.945 8.118 9.826 7.527 8.182 7.377 6.265 7.604 4.016 8.079 2.712 8.873 0.785 9.664 0.144 11.159 1.851 12.388 2.528 13.94