高三月考难度数据导入
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017223
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20230517 2023届高三01班 0.971
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20230517 2023届高三02班 0.969
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20230517 2023届高三03班 0.966
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20230517 2023届高三04班 0.967
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20230517 2023届高三05班 1.000
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20230517 2023届高三06班 0.974
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20230517 2023届高三07班 0.970
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20230517 2023届高三08班 1.000
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20230517 2023届高三09班 0.933
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20230517 2023届高三10班 0.973
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20230517 2023届高三11班 1.000
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20230517 2023届高三12班 0.958
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017224
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20230517 2023届高三01班 0.971
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20230517 2023届高三02班 1.000
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20230517 2023届高三03班 0.966
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20230517 2023届高三04班 0.967
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20230517 2023届高三05班 0.921
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20230517 2023届高三06班 0.949
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20230517 2023届高三07班 0.970
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20230517 2023届高三08班 1.000
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20230517 2023届高三09班 1.000
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20230517 2023届高三10班 1.000
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20230517 2023届高三11班 0.950
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20230517 2023届高三12班 1.000
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017225
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20230517 2023届高三01班 0.941
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20230517 2023届高三02班 0.938
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20230517 2023届高三03班 0.897
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20230517 2023届高三04班 0.933
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20230517 2023届高三05班 0.947
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20230517 2023届高三06班 0.949
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20230517 2023届高三07班 0.970
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20230517 2023届高三08班 0.846
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20230517 2023届高三09班 0.767
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20230517 2023届高三10班 0.838
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20230517 2023届高三11班 0.850
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20230517 2023届高三12班 0.833
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017226
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20230517 2023届高三01班 0.971
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20230517 2023届高三02班 1.000
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20230517 2023届高三03班 0.966
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20230517 2023届高三04班 1.000
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20230517 2023届高三05班 0.974
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20230517 2023届高三06班 0.974
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20230517 2023届高三07班 1.000
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20230517 2023届高三08班 1.000
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20230517 2023届高三09班 0.933
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20230517 2023届高三10班 0.973
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20230517 2023届高三11班 1.000
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20230517 2023届高三12班 0.958
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017227
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20230517 2023届高三01班 1.000
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20230517 2023届高三02班 1.000
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20230517 2023届高三03班 1.000
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20230517 2023届高三04班 0.967
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20230517 2023届高三05班 1.000
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20230517 2023届高三06班 0.949
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20230517 2023届高三07班 0.939
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20230517 2023届高三08班 0.923
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20230517 2023届高三09班 0.900
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20230517 2023届高三10班 0.973
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20230517 2023届高三11班 0.900
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20230517 2023届高三12班 0.958
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017228
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20230517 2023届高三01班 0.529
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20230517 2023届高三02班 0.594
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20230517 2023届高三03班 0.345
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20230517 2023届高三04班 0.500
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20230517 2023届高三05班 0.526
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20230517 2023届高三06班 0.436
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20230517 2023届高三07班 0.545
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20230517 2023届高三08班 0.577
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20230517 2023届高三09班 0.633
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20230517 2023届高三10班 0.595
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20230517 2023届高三11班 0.550
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20230517 2023届高三12班 0.458
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017229
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20230517 2023届高三01班 1.000
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20230517 2023届高三02班 0.938
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20230517 2023届高三03班 0.966
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20230517 2023届高三04班 0.967
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20230517 2023届高三05班 0.947
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20230517 2023届高三06班 0.974
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20230517 2023届高三07班 1.000
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20230517 2023届高三08班 0.962
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20230517 2023届高三09班 0.800
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20230517 2023届高三10班 0.892
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20230517 2023届高三11班 0.900
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20230517 2023届高三12班 1.000
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017230
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20230517 2023届高三01班 0.824
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20230517 2023届高三02班 0.781
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20230517 2023届高三03班 0.897
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20230517 2023届高三04班 0.833
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20230517 2023届高三05班 0.895
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20230517 2023届高三06班 0.846
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20230517 2023届高三07班 0.636
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20230517 2023届高三08班 0.615
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20230517 2023届高三09班 0.667
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20230517 2023届高三10班 0.865
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20230517 2023届高三11班 0.750
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20230517 2023届高三12班 0.792
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017231
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20230517 2023届高三01班 0.735
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20230517 2023届高三02班 0.500
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20230517 2023届高三03班 0.655
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20230517 2023届高三04班 0.633
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20230517 2023届高三05班 0.737
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20230517 2023届高三06班 0.667
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20230517 2023届高三07班 0.394
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20230517 2023届高三08班 0.692
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20230517 2023届高三09班 0.567
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20230517 2023届高三10班 0.541
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20230517 2023届高三11班 0.400
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20230517 2023届高三12班 0.542
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017232
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20230517 2023届高三01班 0.382
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20230517 2023届高三02班 0.469
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20230517 2023届高三03班 0.586
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20230517 2023届高三04班 0.233
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20230517 2023届高三05班 0.316
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20230517 2023届高三06班 0.231
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20230517 2023届高三07班 0.333
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20230517 2023届高三08班 0.231
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20230517 2023届高三09班 0.267
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20230517 2023届高三10班 0.243
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20230517 2023届高三11班 0.250
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20230517 2023届高三12班 0.250
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017233
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20230517 2023届高三01班 0.853
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20230517 2023届高三02班 0.719
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20230517 2023届高三03班 0.586
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20230517 2023届高三04班 0.833
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20230517 2023届高三05班 0.737
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20230517 2023届高三06班 0.667
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20230517 2023届高三07班 0.576
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20230517 2023届高三08班 0.731
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20230517 2023届高三09班 0.533
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20230517 2023届高三10班 0.459
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20230517 2023届高三11班 0.400
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20230517 2023届高三12班 0.375
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017234
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20230517 2023届高三01班 0.147
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20230517 2023届高三02班 0.062
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20230517 2023届高三03班 0.138
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20230517 2023届高三04班 0.167
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20230517 2023届高三05班 0.053
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20230517 2023届高三06班 0.077
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20230517 2023届高三07班 0.000
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20230517 2023届高三08班 0.038
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20230517 2023届高三09班 0.033
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20230517 2023届高三10班 0.000
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20230517 2023届高三11班 0.000
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20230517 2023届高三12班 0.000
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017235
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20230517 2023届高三01班 1.000
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20230517 2023届高三02班 1.000
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20230517 2023届高三03班 1.000
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20230517 2023届高三04班 1.000
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20230517 2023届高三05班 1.000
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20230517 2023届高三06班 1.000
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20230517 2023届高三07班 1.000
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20230517 2023届高三08班 1.000
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20230517 2023届高三09班 1.000
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20230517 2023届高三10班 1.000
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20230517 2023届高三11班 1.000
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20230517 2023届高三12班 1.000
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017236
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20230517 2023届高三01班 0.941
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20230517 2023届高三02班 0.969
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20230517 2023届高三03班 0.966
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20230517 2023届高三04班 0.967
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20230517 2023届高三05班 0.947
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20230517 2023届高三06班 1.000
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20230517 2023届高三07班 1.000
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20230517 2023届高三08班 1.000
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20230517 2023届高三09班 0.967
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20230517 2023届高三10班 0.946
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20230517 2023届高三11班 1.000
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20230517 2023届高三12班 1.000
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017237
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20230517 2023届高三01班 0.765
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20230517 2023届高三02班 0.562
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20230517 2023届高三03班 0.552
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20230517 2023届高三04班 0.433
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20230517 2023届高三05班 0.526
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20230517 2023届高三06班 0.641
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20230517 2023届高三07班 0.424
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20230517 2023届高三08班 0.577
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20230517 2023届高三09班 0.300
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20230517 2023届高三10班 0.243
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20230517 2023届高三11班 0.300
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20230517 2023届高三12班 0.375
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017238
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20230517 2023届高三01班 0.412
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20230517 2023届高三02班 0.562
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20230517 2023届高三03班 0.517
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20230517 2023届高三04班 0.400
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20230517 2023届高三05班 0.237
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20230517 2023届高三06班 0.410
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20230517 2023届高三07班 0.273
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20230517 2023届高三08班 0.346
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20230517 2023届高三09班 0.167
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20230517 2023届高三10班 0.216
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20230517 2023届高三11班 0.000
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20230517 2023届高三12班 0.208
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017239
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20230517 2023届高三01班 1.000 0.938
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20230517 2023届高三02班 1.000 0.965
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20230517 2023届高三03班 1.000 0.914
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20230517 2023届高三04班 1.000 0.946
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20230517 2023届高三05班 1.000 0.984
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20230517 2023届高三06班 1.000 0.949
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20230517 2023届高三07班 0.985 0.924
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20230517 2023届高三08班 1.000 1.000
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20230517 2023届高三09班 0.967 0.950
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20230517 2023届高三10班 0.973 0.939
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20230517 2023届高三11班 0.992 0.950
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20230517 2023届高三12班 1.000 0.943
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017240
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20230517 2023届高三01班 0.961 0.985
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20230517 2023届高三02班 0.984 0.996
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20230517 2023届高三03班 0.920 0.922
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20230517 2023届高三04班 0.956 0.967
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20230517 2023届高三05班 0.939 0.957
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20230517 2023届高三06班 0.940 0.888
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20230517 2023届高三07班 0.965 0.928
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20230517 2023届高三08班 0.981 0.962
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20230517 2023届高三09班 0.944 0.950
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20230517 2023届高三10班 0.973 0.889
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20230517 2023届高三11班 0.958 0.894
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20230517 2023届高三12班 0.938 0.932
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017241
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20230517 2023届高三01班 1.000 0.824 0.833
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20230517 2023届高三02班 1.000 0.844 0.672
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20230517 2023届高三03班 1.000 0.802 0.713
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20230517 2023届高三04班 1.000 0.708 0.706
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20230517 2023届高三05班 1.000 0.684 0.811
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20230517 2023届高三06班 1.000 0.756 0.791
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20230517 2023届高三07班 0.939 0.712 0.742
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20230517 2023届高三08班 1.000 0.712 0.660
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20230517 2023届高三09班 1.000 0.658 0.783
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20230517 2023届高三10班 0.946 0.615 0.761
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20230517 2023届高三11班 1.000 0.812 0.758
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20230517 2023届高三12班 1.000 0.698 0.812
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017242
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20230517 2023届高三01班 1.000 0.701 0.228
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20230517 2023届高三02班 1.000 0.432 0.129
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20230517 2023届高三03班 1.000 0.603 0.250
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20230517 2023届高三04班 0.933 0.694 0.242
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20230517 2023届高三05班 0.961 0.386 0.062
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20230517 2023届高三06班 0.962 0.427 0.122
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20230517 2023届高三07班 1.000 0.364 0.000
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20230517 2023届高三08班 1.000 0.397 0.087
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20230517 2023届高三09班 0.967 0.283 0.058
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20230517 2023届高三10班 0.973 0.360 0.057
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20230517 2023届高三11班 0.950 0.333 0.019
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20230517 2023届高三12班 1.000 0.347 0.099
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017243
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20230517 2023届高三01班 0.934 0.721 0.070
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20230517 2023届高三02班 0.938 0.526 0.020
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20230517 2023届高三03班 0.879 0.523 0.017
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20230517 2023届高三04班 0.958 0.439 0.004
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20230517 2023届高三05班 0.875 0.434 0.007
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20230517 2023届高三06班 0.865 0.355 0.035
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20230517 2023届高三07班 0.939 0.359 0.000
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20230517 2023届高三08班 0.904 0.423 0.029
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20230517 2023届高三09班 0.858 0.267 0.013
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20230517 2023届高三10班 0.858 0.306 0.024
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20230517 2023届高三11班 0.863 0.333 0.006
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20230517 2023届高三12班 0.854 0.319 0.005
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021639
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B
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@ -1,324 +1,324 @@
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[BEGIN]
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[BEGIN]
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## 20230418
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## 20230418
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** 2025届高一01班
|
** 2023届高三01班
|
||||||
015269 0.833
|
017223 0.971
|
||||||
015270 0.930
|
017224 0.971
|
||||||
015271 0.977
|
017225 0.941
|
||||||
015272 1.000
|
017226 0.971
|
||||||
015273 0.763
|
017227 1.000
|
||||||
015274 0.667
|
017228 0.529
|
||||||
015275 0.570
|
017229 1.000
|
||||||
015276 0.833
|
017230 0.824
|
||||||
015277 0.403
|
017231 0.735
|
||||||
015278 0.620
|
017232 0.382
|
||||||
015279 0.357
|
017233 0.853
|
||||||
015280 0.287
|
017234 0.147
|
||||||
015281 0.737
|
017235 1.000
|
||||||
015282 0.763
|
017236 0.941
|
||||||
015283 0.453
|
017237 0.765
|
||||||
015284 0.263
|
017238 0.412
|
||||||
015285 0.940
|
017239 1.000 0.938
|
||||||
015286 0.912 0.850
|
017240 0.961 0.985
|
||||||
015287 0.976 0.512
|
017241 1.000 0.824 0.833
|
||||||
015288 0.863 0.502
|
017242 1.000 0.701 0.228
|
||||||
015289 0.700 0.667 0.025
|
017243 0.934 0.721 0.070
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一02班
|
** 2023届高三02班
|
||||||
015269 0.927
|
017223 0.969
|
||||||
015270 0.950
|
017224 1.000
|
||||||
015271 0.977
|
017225 0.938
|
||||||
015272 0.927
|
017226 1.000
|
||||||
015273 0.780
|
017227 1.000
|
||||||
015274 0.757
|
017228 0.594
|
||||||
015275 0.733
|
017229 0.938
|
||||||
015276 0.780
|
017230 0.781
|
||||||
015277 0.293
|
017231 0.500
|
||||||
015278 0.587
|
017232 0.469
|
||||||
015279 0.340
|
017233 0.719
|
||||||
015280 0.097
|
017234 0.062
|
||||||
015281 0.757
|
017235 1.000
|
||||||
015282 0.610
|
017236 0.969
|
||||||
015283 0.512
|
017237 0.562
|
||||||
015284 0.318
|
017238 0.562
|
||||||
015285 0.943
|
017239 1.000 0.965
|
||||||
015286 0.935 0.905
|
017240 0.984 0.996
|
||||||
015287 0.966 0.590
|
017241 1.000 0.844 0.672
|
||||||
015288 0.777 0.465
|
017242 1.000 0.432 0.129
|
||||||
015289 0.640 0.568 0.022
|
017243 0.938 0.526 0.020
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一03班
|
** 2023届高三03班
|
||||||
015269 0.927
|
017223 0.966
|
||||||
015270 0.977
|
017224 0.966
|
||||||
015271 0.977
|
017225 0.897
|
||||||
015272 0.950
|
017226 0.966
|
||||||
015273 0.830
|
017227 1.000
|
||||||
015274 0.803
|
017228 0.345
|
||||||
015275 0.707
|
017229 0.966
|
||||||
015276 0.707
|
017230 0.897
|
||||||
015277 0.293
|
017231 0.655
|
||||||
015278 0.367
|
017232 0.586
|
||||||
015279 0.243
|
017233 0.586
|
||||||
015280 0.220
|
017234 0.138
|
||||||
015281 0.853
|
017235 1.000
|
||||||
015282 0.803
|
017236 0.966
|
||||||
015283 0.830
|
017237 0.552
|
||||||
015284 0.365
|
017238 0.517
|
||||||
015285 0.979
|
017239 1.000 0.914
|
||||||
015286 0.943 0.975
|
017240 0.920 0.922
|
||||||
015287 0.964 0.504
|
017241 1.000 0.802 0.713
|
||||||
015288 0.858 0.542
|
017242 1.000 0.603 0.250
|
||||||
015289 0.573 0.560 0.003
|
017243 0.879 0.523 0.017
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一04班
|
** 2023届高三04班
|
||||||
015269 0.877
|
017223 0.967
|
||||||
015270 1.000
|
017224 0.967
|
||||||
015271 0.927
|
017225 0.933
|
||||||
015272 0.830
|
017226 1.000
|
||||||
015273 0.877
|
017227 0.967
|
||||||
015274 0.780
|
017228 0.500
|
||||||
015275 0.633
|
017229 0.967
|
||||||
015276 0.780
|
017230 0.833
|
||||||
015277 0.413
|
017231 0.633
|
||||||
015278 0.587
|
017232 0.233
|
||||||
015279 0.463
|
017233 0.833
|
||||||
015280 0.220
|
017234 0.167
|
||||||
015281 0.853
|
017235 1.000
|
||||||
015282 0.853
|
017236 0.967
|
||||||
015283 0.682
|
017237 0.433
|
||||||
015284 0.170
|
017238 0.400
|
||||||
015285 0.965
|
017239 1.000 0.946
|
||||||
015286 0.995 0.932
|
017240 0.956 0.967
|
||||||
015287 0.930 0.526
|
017241 1.000 0.708 0.706
|
||||||
015288 0.915 0.564
|
017242 0.933 0.694 0.242
|
||||||
015289 0.627 0.555 0.005
|
017243 0.958 0.439 0.004
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一05班
|
** 2023届高三05班
|
||||||
015269 0.903
|
017223 1.000
|
||||||
015270 0.977
|
017224 0.921
|
||||||
015271 1.000
|
017225 0.947
|
||||||
015272 0.903
|
017226 0.974
|
||||||
015273 0.853
|
017227 1.000
|
||||||
015274 0.877
|
017228 0.526
|
||||||
015275 0.463
|
017229 0.947
|
||||||
015276 0.757
|
017230 0.895
|
||||||
015277 0.340
|
017231 0.737
|
||||||
015278 0.463
|
017232 0.316
|
||||||
015279 0.560
|
017233 0.737
|
||||||
015280 0.317
|
017234 0.053
|
||||||
015281 0.830
|
017235 1.000
|
||||||
015282 0.803
|
017236 0.947
|
||||||
015283 0.682
|
017237 0.526
|
||||||
015284 0.268
|
017238 0.237
|
||||||
015285 0.939
|
017239 1.000 0.984
|
||||||
015286 0.890 0.905
|
017240 0.939 0.957
|
||||||
015287 0.966 0.580
|
017241 1.000 0.684 0.811
|
||||||
015288 0.915 0.637
|
017242 0.961 0.386 0.062
|
||||||
015289 0.573 0.455 0.043
|
017243 0.875 0.434 0.007
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一06班
|
** 2023届高三06班
|
||||||
015269 0.927
|
017223 0.974
|
||||||
015270 1.000
|
017224 0.949
|
||||||
015271 0.950
|
017225 0.949
|
||||||
015272 0.903
|
017226 0.974
|
||||||
015273 0.803
|
017227 0.949
|
||||||
015274 0.780
|
017228 0.436
|
||||||
015275 0.487
|
017229 0.974
|
||||||
015276 0.660
|
017230 0.846
|
||||||
015277 0.440
|
017231 0.667
|
||||||
015278 0.513
|
017232 0.231
|
||||||
015279 0.293
|
017233 0.667
|
||||||
015280 0.243
|
017234 0.077
|
||||||
015281 0.757
|
017235 1.000
|
||||||
015282 0.803
|
017236 1.000
|
||||||
015283 0.537
|
017237 0.641
|
||||||
015284 0.245
|
017238 0.410
|
||||||
015285 0.890
|
017239 1.000 0.949
|
||||||
015286 0.892 0.930
|
017240 0.940 0.888
|
||||||
015287 0.966 0.492
|
017241 1.000 0.756 0.791
|
||||||
015288 0.890 0.544
|
017242 0.962 0.427 0.122
|
||||||
015289 0.625 0.427 0.013
|
017243 0.865 0.355 0.035
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一07班
|
** 2023届高三07班
|
||||||
015269 0.930
|
017223 0.970
|
||||||
015270 0.977
|
017224 0.970
|
||||||
015271 0.953
|
017225 0.970
|
||||||
015272 1.000
|
017226 1.000
|
||||||
015273 0.737
|
017227 0.939
|
||||||
015274 0.787
|
017228 0.545
|
||||||
015275 0.667
|
017229 1.000
|
||||||
015276 0.737
|
017230 0.636
|
||||||
015277 0.310
|
017231 0.394
|
||||||
015278 0.500
|
017232 0.333
|
||||||
015279 0.380
|
017233 0.576
|
||||||
015280 0.190
|
017234 0.000
|
||||||
015281 0.930
|
017235 1.000
|
||||||
015282 0.833
|
017236 1.000
|
||||||
015283 0.547
|
017237 0.424
|
||||||
015284 0.215
|
017238 0.273
|
||||||
015285 0.955
|
017239 0.985 0.924
|
||||||
015286 0.965 0.912
|
017240 0.965 0.928
|
||||||
015287 0.950 0.488
|
017241 0.939 0.712 0.742
|
||||||
015288 0.875 0.514
|
017242 1.000 0.364 0.000
|
||||||
015289 0.672 0.517 0.005
|
017243 0.939 0.359 0.000
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一08班
|
** 2023届高三08班
|
||||||
015269 0.973
|
017223 1.000
|
||||||
015270 1.000
|
017224 1.000
|
||||||
015271 0.973
|
017225 0.846
|
||||||
015272 0.947
|
017226 1.000
|
||||||
015273 0.817
|
017227 0.923
|
||||||
015274 0.710
|
017228 0.577
|
||||||
015275 0.607
|
017229 0.962
|
||||||
015276 0.710
|
017230 0.615
|
||||||
015277 0.317
|
017231 0.692
|
||||||
015278 0.553
|
017232 0.231
|
||||||
015279 0.290
|
017233 0.731
|
||||||
015280 0.183
|
017234 0.038
|
||||||
015281 0.683
|
017235 1.000
|
||||||
015282 0.737
|
017236 1.000
|
||||||
015283 0.580
|
017237 0.577
|
||||||
015284 0.105
|
017238 0.346
|
||||||
015285 0.975
|
017239 1.000 1.000
|
||||||
015286 0.948 0.935
|
017240 0.981 0.962
|
||||||
015287 0.942 0.426
|
017241 1.000 0.712 0.660
|
||||||
015288 0.835 0.474
|
017242 1.000 0.397 0.087
|
||||||
015289 0.535 0.398 0.007
|
017243 0.904 0.423 0.029
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一09班
|
** 2023届高三09班
|
||||||
015269 0.953
|
017223 0.933
|
||||||
015270 0.977
|
017224 1.000
|
||||||
015271 0.953
|
017225 0.767
|
||||||
015272 0.953
|
017226 0.933
|
||||||
015273 0.860
|
017227 0.900
|
||||||
015274 0.743
|
017228 0.633
|
||||||
015275 0.510
|
017229 0.800
|
||||||
015276 0.813
|
017230 0.667
|
||||||
015277 0.490
|
017231 0.567
|
||||||
015278 0.650
|
017232 0.267
|
||||||
015279 0.443
|
017233 0.533
|
||||||
015280 0.257
|
017234 0.033
|
||||||
015281 0.767
|
017235 1.000
|
||||||
015282 0.767
|
017236 0.967
|
||||||
015283 0.650
|
017237 0.300
|
||||||
015284 0.325
|
017238 0.167
|
||||||
015285 0.975
|
017239 0.967 0.950
|
||||||
015286 0.915 0.970
|
017240 0.944 0.950
|
||||||
015287 0.958 0.612
|
017241 1.000 0.658 0.783
|
||||||
015288 0.833 0.517
|
017242 0.967 0.283 0.058
|
||||||
015289 0.662 0.532 0.005
|
017243 0.858 0.267 0.013
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一10班
|
** 2023届高三10班
|
||||||
015269 0.950
|
017223 0.973
|
||||||
015270 0.950
|
017224 1.000
|
||||||
015271 1.000
|
017225 0.838
|
||||||
015272 0.977
|
017226 0.973
|
||||||
015273 0.927
|
017227 0.973
|
||||||
015274 0.877
|
017228 0.595
|
||||||
015275 0.733
|
017229 0.892
|
||||||
015276 0.903
|
017230 0.865
|
||||||
015277 0.513
|
017231 0.541
|
||||||
015278 0.633
|
017232 0.243
|
||||||
015279 0.587
|
017233 0.459
|
||||||
015280 0.487
|
017234 0.000
|
||||||
015281 0.903
|
017235 1.000
|
||||||
015282 0.903
|
017236 0.946
|
||||||
015283 0.682
|
017237 0.243
|
||||||
015284 0.292
|
017238 0.216
|
||||||
015285 0.979
|
017239 0.973 0.939
|
||||||
015286 0.948 0.950
|
017240 0.973 0.889
|
||||||
015287 0.990 0.676
|
017241 0.946 0.615 0.761
|
||||||
015288 0.890 0.650
|
017242 0.973 0.360 0.057
|
||||||
015289 0.750 0.695 0.040
|
017243 0.858 0.306 0.024
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一11班
|
** 2023届高三11班
|
||||||
015269 1.000
|
017223 1.000
|
||||||
015270 1.000
|
017224 0.950
|
||||||
015271 1.000
|
017225 0.850
|
||||||
015272 0.953
|
017226 1.000
|
||||||
015273 0.883
|
017227 0.900
|
||||||
015274 0.907
|
017228 0.550
|
||||||
015275 0.767
|
017229 0.900
|
||||||
015276 0.907
|
017230 0.750
|
||||||
015277 0.533
|
017231 0.400
|
||||||
015278 0.697
|
017232 0.250
|
||||||
015279 0.533
|
017233 0.400
|
||||||
015280 0.533
|
017234 0.000
|
||||||
015281 0.883
|
017235 1.000
|
||||||
015282 0.907
|
017236 1.000
|
||||||
015283 0.767
|
017237 0.300
|
||||||
015284 0.185
|
017238 0.000
|
||||||
015285 0.985
|
017239 0.992 0.950
|
||||||
015286 0.995 0.927
|
017240 0.958 0.894
|
||||||
015287 0.990 0.724
|
017241 1.000 0.812 0.758
|
||||||
015288 0.953 0.685
|
017242 0.950 0.333 0.019
|
||||||
015289 0.780 0.800 0.122
|
017243 0.863 0.333 0.006
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
[BEGIN]
|
[BEGIN]
|
||||||
## 20230418
|
## 20230418
|
||||||
** 2025届高一12班
|
** 2023届高三12班
|
||||||
015269 0.977
|
017223 0.958
|
||||||
015270 1.000
|
017224 1.000
|
||||||
015271 1.000
|
017225 0.833
|
||||||
015272 0.933
|
017226 0.958
|
||||||
015273 0.887
|
017227 0.958
|
||||||
015274 0.933
|
017228 0.458
|
||||||
015275 0.703
|
017229 1.000
|
||||||
015276 0.953
|
017230 0.792
|
||||||
015277 0.637
|
017231 0.542
|
||||||
015278 0.773
|
017232 0.250
|
||||||
015279 0.613
|
017233 0.375
|
||||||
015280 0.477
|
017234 0.000
|
||||||
015281 0.910
|
017235 1.000
|
||||||
015282 0.840
|
017236 1.000
|
||||||
015283 0.660
|
017237 0.375
|
||||||
015284 0.340
|
017238 0.208
|
||||||
015285 0.971
|
017239 1.000 0.943
|
||||||
015286 0.917 0.983
|
017240 0.938 0.932
|
||||||
015287 0.988 0.632
|
017241 1.000 0.698 0.812
|
||||||
015288 0.882 0.632
|
017242 1.000 0.347 0.099
|
||||||
015289 0.770 0.710 0.037
|
017243 0.854 0.319 0.005
|
||||||
[END]
|
[END]
|
||||||
|
|
||||||
|
|
||||||
|
|
|
||||||
|
|
@ -1,7 +1,7 @@
|
||||||
texfile = r"D:\mathdeptv2\工具\临时文件\高一区统考_学生用_20230421.tex"
|
texfile = r"C:\Users\weiye\Documents\wwy sync\23届\下学期测验卷\高三下学期月考02.tex"
|
||||||
excelfile = r"C:\Users\weiye\Documents\wwy sync\临时工作区\高一区统考.xlsx"
|
excelfile = r"C:\Users\weiye\Documents\wwy sync\23届\统计数据\大型考试\年级_20230516月考.xlsx"
|
||||||
date = "20230418"
|
date = "20230418"
|
||||||
grade = "2025届高一"
|
grade = "2023届高三"
|
||||||
|
|
||||||
sheetname = "难度统计"
|
sheetname = "难度统计"
|
||||||
max_classnum = 12
|
max_classnum = 12
|
||||||
|
|
|
||||||
|
|
@ -441830,7 +441830,20 @@
|
||||||
"ans": "$\\{1\\}$",
|
"ans": "$\\{1\\}$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.971",
|
||||||
|
"20230517\t2023届高三02班\t0.969",
|
||||||
|
"20230517\t2023届高三03班\t0.966",
|
||||||
|
"20230517\t2023届高三04班\t0.967",
|
||||||
|
"20230517\t2023届高三05班\t1.000",
|
||||||
|
"20230517\t2023届高三06班\t0.974",
|
||||||
|
"20230517\t2023届高三07班\t0.970",
|
||||||
|
"20230517\t2023届高三08班\t1.000",
|
||||||
|
"20230517\t2023届高三09班\t0.933",
|
||||||
|
"20230517\t2023届高三10班\t0.973",
|
||||||
|
"20230517\t2023届高三11班\t1.000",
|
||||||
|
"20230517\t2023届高三12班\t0.958"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题1",
|
"origin": "2023届高三下学期月考2试题1",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441850,7 +441863,20 @@
|
||||||
"ans": "$1$",
|
"ans": "$1$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.971",
|
||||||
|
"20230517\t2023届高三02班\t1.000",
|
||||||
|
"20230517\t2023届高三03班\t0.966",
|
||||||
|
"20230517\t2023届高三04班\t0.967",
|
||||||
|
"20230517\t2023届高三05班\t0.921",
|
||||||
|
"20230517\t2023届高三06班\t0.949",
|
||||||
|
"20230517\t2023届高三07班\t0.970",
|
||||||
|
"20230517\t2023届高三08班\t1.000",
|
||||||
|
"20230517\t2023届高三09班\t1.000",
|
||||||
|
"20230517\t2023届高三10班\t1.000",
|
||||||
|
"20230517\t2023届高三11班\t0.950",
|
||||||
|
"20230517\t2023届高三12班\t1.000"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题2",
|
"origin": "2023届高三下学期月考2试题2",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441870,7 +441896,20 @@
|
||||||
"ans": "$\\dfrac{\\pi}{3}$",
|
"ans": "$\\dfrac{\\pi}{3}$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.941",
|
||||||
|
"20230517\t2023届高三02班\t0.938",
|
||||||
|
"20230517\t2023届高三03班\t0.897",
|
||||||
|
"20230517\t2023届高三04班\t0.933",
|
||||||
|
"20230517\t2023届高三05班\t0.947",
|
||||||
|
"20230517\t2023届高三06班\t0.949",
|
||||||
|
"20230517\t2023届高三07班\t0.970",
|
||||||
|
"20230517\t2023届高三08班\t0.846",
|
||||||
|
"20230517\t2023届高三09班\t0.767",
|
||||||
|
"20230517\t2023届高三10班\t0.838",
|
||||||
|
"20230517\t2023届高三11班\t0.850",
|
||||||
|
"20230517\t2023届高三12班\t0.833"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题3",
|
"origin": "2023届高三下学期月考2试题3",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441890,7 +441929,20 @@
|
||||||
"ans": "$70$",
|
"ans": "$70$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.971",
|
||||||
|
"20230517\t2023届高三02班\t1.000",
|
||||||
|
"20230517\t2023届高三03班\t0.966",
|
||||||
|
"20230517\t2023届高三04班\t1.000",
|
||||||
|
"20230517\t2023届高三05班\t0.974",
|
||||||
|
"20230517\t2023届高三06班\t0.974",
|
||||||
|
"20230517\t2023届高三07班\t1.000",
|
||||||
|
"20230517\t2023届高三08班\t1.000",
|
||||||
|
"20230517\t2023届高三09班\t0.933",
|
||||||
|
"20230517\t2023届高三10班\t0.973",
|
||||||
|
"20230517\t2023届高三11班\t1.000",
|
||||||
|
"20230517\t2023届高三12班\t0.958"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题4",
|
"origin": "2023届高三下学期月考2试题4",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441910,7 +441962,20 @@
|
||||||
"ans": "$\\dfrac{1}{8}$",
|
"ans": "$\\dfrac{1}{8}$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t1.000",
|
||||||
|
"20230517\t2023届高三02班\t1.000",
|
||||||
|
"20230517\t2023届高三03班\t1.000",
|
||||||
|
"20230517\t2023届高三04班\t0.967",
|
||||||
|
"20230517\t2023届高三05班\t1.000",
|
||||||
|
"20230517\t2023届高三06班\t0.949",
|
||||||
|
"20230517\t2023届高三07班\t0.939",
|
||||||
|
"20230517\t2023届高三08班\t0.923",
|
||||||
|
"20230517\t2023届高三09班\t0.900",
|
||||||
|
"20230517\t2023届高三10班\t0.973",
|
||||||
|
"20230517\t2023届高三11班\t0.900",
|
||||||
|
"20230517\t2023届高三12班\t0.958"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题5",
|
"origin": "2023届高三下学期月考2试题5",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441930,7 +441995,20 @@
|
||||||
"ans": "$y=-\\dfrac{1}{32}$",
|
"ans": "$y=-\\dfrac{1}{32}$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.529",
|
||||||
|
"20230517\t2023届高三02班\t0.594",
|
||||||
|
"20230517\t2023届高三03班\t0.345",
|
||||||
|
"20230517\t2023届高三04班\t0.500",
|
||||||
|
"20230517\t2023届高三05班\t0.526",
|
||||||
|
"20230517\t2023届高三06班\t0.436",
|
||||||
|
"20230517\t2023届高三07班\t0.545",
|
||||||
|
"20230517\t2023届高三08班\t0.577",
|
||||||
|
"20230517\t2023届高三09班\t0.633",
|
||||||
|
"20230517\t2023届高三10班\t0.595",
|
||||||
|
"20230517\t2023届高三11班\t0.550",
|
||||||
|
"20230517\t2023届高三12班\t0.458"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题6",
|
"origin": "2023届高三下学期月考2试题6",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441950,7 +442028,20 @@
|
||||||
"ans": "$\\dfrac{2}{3}$",
|
"ans": "$\\dfrac{2}{3}$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t1.000",
|
||||||
|
"20230517\t2023届高三02班\t0.938",
|
||||||
|
"20230517\t2023届高三03班\t0.966",
|
||||||
|
"20230517\t2023届高三04班\t0.967",
|
||||||
|
"20230517\t2023届高三05班\t0.947",
|
||||||
|
"20230517\t2023届高三06班\t0.974",
|
||||||
|
"20230517\t2023届高三07班\t1.000",
|
||||||
|
"20230517\t2023届高三08班\t0.962",
|
||||||
|
"20230517\t2023届高三09班\t0.800",
|
||||||
|
"20230517\t2023届高三10班\t0.892",
|
||||||
|
"20230517\t2023届高三11班\t0.900",
|
||||||
|
"20230517\t2023届高三12班\t1.000"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题7",
|
"origin": "2023届高三下学期月考2试题7",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441970,7 +442061,20 @@
|
||||||
"ans": "$36\\pi$",
|
"ans": "$36\\pi$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.824",
|
||||||
|
"20230517\t2023届高三02班\t0.781",
|
||||||
|
"20230517\t2023届高三03班\t0.897",
|
||||||
|
"20230517\t2023届高三04班\t0.833",
|
||||||
|
"20230517\t2023届高三05班\t0.895",
|
||||||
|
"20230517\t2023届高三06班\t0.846",
|
||||||
|
"20230517\t2023届高三07班\t0.636",
|
||||||
|
"20230517\t2023届高三08班\t0.615",
|
||||||
|
"20230517\t2023届高三09班\t0.667",
|
||||||
|
"20230517\t2023届高三10班\t0.865",
|
||||||
|
"20230517\t2023届高三11班\t0.750",
|
||||||
|
"20230517\t2023届高三12班\t0.792"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题8",
|
"origin": "2023届高三下学期月考2试题8",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -441990,7 +442094,20 @@
|
||||||
"ans": "$0.1$",
|
"ans": "$0.1$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.735",
|
||||||
|
"20230517\t2023届高三02班\t0.500",
|
||||||
|
"20230517\t2023届高三03班\t0.655",
|
||||||
|
"20230517\t2023届高三04班\t0.633",
|
||||||
|
"20230517\t2023届高三05班\t0.737",
|
||||||
|
"20230517\t2023届高三06班\t0.667",
|
||||||
|
"20230517\t2023届高三07班\t0.394",
|
||||||
|
"20230517\t2023届高三08班\t0.692",
|
||||||
|
"20230517\t2023届高三09班\t0.567",
|
||||||
|
"20230517\t2023届高三10班\t0.541",
|
||||||
|
"20230517\t2023届高三11班\t0.400",
|
||||||
|
"20230517\t2023届高三12班\t0.542"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题9",
|
"origin": "2023届高三下学期月考2试题9",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442010,7 +442127,20 @@
|
||||||
"ans": "$\\dfrac{17}{32}$",
|
"ans": "$\\dfrac{17}{32}$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.382",
|
||||||
|
"20230517\t2023届高三02班\t0.469",
|
||||||
|
"20230517\t2023届高三03班\t0.586",
|
||||||
|
"20230517\t2023届高三04班\t0.233",
|
||||||
|
"20230517\t2023届高三05班\t0.316",
|
||||||
|
"20230517\t2023届高三06班\t0.231",
|
||||||
|
"20230517\t2023届高三07班\t0.333",
|
||||||
|
"20230517\t2023届高三08班\t0.231",
|
||||||
|
"20230517\t2023届高三09班\t0.267",
|
||||||
|
"20230517\t2023届高三10班\t0.243",
|
||||||
|
"20230517\t2023届高三11班\t0.250",
|
||||||
|
"20230517\t2023届高三12班\t0.250"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题10",
|
"origin": "2023届高三下学期月考2试题10",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442030,7 +442160,20 @@
|
||||||
"ans": "$[2,2^{2023}]$",
|
"ans": "$[2,2^{2023}]$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.853",
|
||||||
|
"20230517\t2023届高三02班\t0.719",
|
||||||
|
"20230517\t2023届高三03班\t0.586",
|
||||||
|
"20230517\t2023届高三04班\t0.833",
|
||||||
|
"20230517\t2023届高三05班\t0.737",
|
||||||
|
"20230517\t2023届高三06班\t0.667",
|
||||||
|
"20230517\t2023届高三07班\t0.576",
|
||||||
|
"20230517\t2023届高三08班\t0.731",
|
||||||
|
"20230517\t2023届高三09班\t0.533",
|
||||||
|
"20230517\t2023届高三10班\t0.459",
|
||||||
|
"20230517\t2023届高三11班\t0.400",
|
||||||
|
"20230517\t2023届高三12班\t0.375"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题11",
|
"origin": "2023届高三下学期月考2试题11",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442050,7 +442193,20 @@
|
||||||
"ans": "$[\\dfrac{1}{2},+\\infty)$",
|
"ans": "$[\\dfrac{1}{2},+\\infty)$",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.147",
|
||||||
|
"20230517\t2023届高三02班\t0.062",
|
||||||
|
"20230517\t2023届高三03班\t0.138",
|
||||||
|
"20230517\t2023届高三04班\t0.167",
|
||||||
|
"20230517\t2023届高三05班\t0.053",
|
||||||
|
"20230517\t2023届高三06班\t0.077",
|
||||||
|
"20230517\t2023届高三07班\t0.000",
|
||||||
|
"20230517\t2023届高三08班\t0.038",
|
||||||
|
"20230517\t2023届高三09班\t0.033",
|
||||||
|
"20230517\t2023届高三10班\t0.000",
|
||||||
|
"20230517\t2023届高三11班\t0.000",
|
||||||
|
"20230517\t2023届高三12班\t0.000"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题12",
|
"origin": "2023届高三下学期月考2试题12",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442070,7 +442226,20 @@
|
||||||
"ans": "D",
|
"ans": "D",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t1.000",
|
||||||
|
"20230517\t2023届高三02班\t1.000",
|
||||||
|
"20230517\t2023届高三03班\t1.000",
|
||||||
|
"20230517\t2023届高三04班\t1.000",
|
||||||
|
"20230517\t2023届高三05班\t1.000",
|
||||||
|
"20230517\t2023届高三06班\t1.000",
|
||||||
|
"20230517\t2023届高三07班\t1.000",
|
||||||
|
"20230517\t2023届高三08班\t1.000",
|
||||||
|
"20230517\t2023届高三09班\t1.000",
|
||||||
|
"20230517\t2023届高三10班\t1.000",
|
||||||
|
"20230517\t2023届高三11班\t1.000",
|
||||||
|
"20230517\t2023届高三12班\t1.000"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题13",
|
"origin": "2023届高三下学期月考2试题13",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442090,7 +442259,20 @@
|
||||||
"ans": "B",
|
"ans": "B",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.941",
|
||||||
|
"20230517\t2023届高三02班\t0.969",
|
||||||
|
"20230517\t2023届高三03班\t0.966",
|
||||||
|
"20230517\t2023届高三04班\t0.967",
|
||||||
|
"20230517\t2023届高三05班\t0.947",
|
||||||
|
"20230517\t2023届高三06班\t1.000",
|
||||||
|
"20230517\t2023届高三07班\t1.000",
|
||||||
|
"20230517\t2023届高三08班\t1.000",
|
||||||
|
"20230517\t2023届高三09班\t0.967",
|
||||||
|
"20230517\t2023届高三10班\t0.946",
|
||||||
|
"20230517\t2023届高三11班\t1.000",
|
||||||
|
"20230517\t2023届高三12班\t1.000"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题14",
|
"origin": "2023届高三下学期月考2试题14",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442110,7 +442292,20 @@
|
||||||
"ans": "C",
|
"ans": "C",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.765",
|
||||||
|
"20230517\t2023届高三02班\t0.562",
|
||||||
|
"20230517\t2023届高三03班\t0.552",
|
||||||
|
"20230517\t2023届高三04班\t0.433",
|
||||||
|
"20230517\t2023届高三05班\t0.526",
|
||||||
|
"20230517\t2023届高三06班\t0.641",
|
||||||
|
"20230517\t2023届高三07班\t0.424",
|
||||||
|
"20230517\t2023届高三08班\t0.577",
|
||||||
|
"20230517\t2023届高三09班\t0.300",
|
||||||
|
"20230517\t2023届高三10班\t0.243",
|
||||||
|
"20230517\t2023届高三11班\t0.300",
|
||||||
|
"20230517\t2023届高三12班\t0.375"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题15",
|
"origin": "2023届高三下学期月考2试题15",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442130,7 +442325,20 @@
|
||||||
"ans": "D",
|
"ans": "D",
|
||||||
"solution": "",
|
"solution": "",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.412",
|
||||||
|
"20230517\t2023届高三02班\t0.562",
|
||||||
|
"20230517\t2023届高三03班\t0.517",
|
||||||
|
"20230517\t2023届高三04班\t0.400",
|
||||||
|
"20230517\t2023届高三05班\t0.237",
|
||||||
|
"20230517\t2023届高三06班\t0.410",
|
||||||
|
"20230517\t2023届高三07班\t0.273",
|
||||||
|
"20230517\t2023届高三08班\t0.346",
|
||||||
|
"20230517\t2023届高三09班\t0.167",
|
||||||
|
"20230517\t2023届高三10班\t0.216",
|
||||||
|
"20230517\t2023届高三11班\t0.000",
|
||||||
|
"20230517\t2023届高三12班\t0.208"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题16",
|
"origin": "2023届高三下学期月考2试题16",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442150,7 +442358,20 @@
|
||||||
"ans": "(1) $h=1$; (2) $\\arcsin\\dfrac{\\sqrt{10}}{5}$",
|
"ans": "(1) $h=1$; (2) $\\arcsin\\dfrac{\\sqrt{10}}{5}$",
|
||||||
"solution": "(1) 由底面$ABC$为等腰直角三角形且 $AB \\perp AC$知$AB\\perp$平面$ACC_1A_1$, \\\\\n从而$BM$在平面$ACC_1A_1$上的投影为$AM$,\n故由$BM \\perp A_1C$ 知 $AM\\perp A_1C $, \\\\\n结合$AC=2$, $AA_1=4$ 得 $MC=1$, 即$h=1$.\\\\\n(2) 如图建系：以$A$为原点，分别以$\\overrightarrow{AB}$、$\\overrightarrow{AC}$、$\\overrightarrow{AA_1}$方向为$x$轴、 $y$轴、$z$ 轴正方向建立平面直角坐标系.\\\\\n$A(0,0,0),B(2,0,0),C(0,2,0),A_1(0,0,4),M(0,2,2)$,\n$\\overrightarrow{BA_1}=(-2,0,4),\\overrightarrow{AB}=(2,0,0),\\overrightarrow{AM}=(0,2,2),$\\\\\n设平面$ABM$的一个法向量为$\\overrightarrow{n}=(x,y,z)$, 则$\\begin{cases}\n2x=0,\\\\\n2y+2z=0.\n\\end{cases}$ 取$\\overrightarrow{n}=(0,1,-1),$设直线$BA_1$与平面$ABM$所成的角为$\\theta$, 则$\\sin\\theta=|\\cos \\langle\\overrightarrow{BA_1},\\overrightarrow{n}\\rangle|=\\dfrac{|\\overrightarrow{BA_1}\\cdot\\overrightarrow{n}|}{|\\overrightarrow{BA_1}|\\cdot|\\overrightarrow{n}|}=\\dfrac{\\sqrt{10}}{5}$, 故直线$BA_1$与平面$ABM$所成的角为$\\arcsin\\dfrac{\\sqrt{10}}{5}$.",
|
"solution": "(1) 由底面$ABC$为等腰直角三角形且 $AB \\perp AC$知$AB\\perp$平面$ACC_1A_1$, \\\\\n从而$BM$在平面$ACC_1A_1$上的投影为$AM$,\n故由$BM \\perp A_1C$ 知 $AM\\perp A_1C $, \\\\\n结合$AC=2$, $AA_1=4$ 得 $MC=1$, 即$h=1$.\\\\\n(2) 如图建系：以$A$为原点，分别以$\\overrightarrow{AB}$、$\\overrightarrow{AC}$、$\\overrightarrow{AA_1}$方向为$x$轴、 $y$轴、$z$ 轴正方向建立平面直角坐标系.\\\\\n$A(0,0,0),B(2,0,0),C(0,2,0),A_1(0,0,4),M(0,2,2)$,\n$\\overrightarrow{BA_1}=(-2,0,4),\\overrightarrow{AB}=(2,0,0),\\overrightarrow{AM}=(0,2,2),$\\\\\n设平面$ABM$的一个法向量为$\\overrightarrow{n}=(x,y,z)$, 则$\\begin{cases}\n2x=0,\\\\\n2y+2z=0.\n\\end{cases}$ 取$\\overrightarrow{n}=(0,1,-1),$设直线$BA_1$与平面$ABM$所成的角为$\\theta$, 则$\\sin\\theta=|\\cos \\langle\\overrightarrow{BA_1},\\overrightarrow{n}\\rangle|=\\dfrac{|\\overrightarrow{BA_1}\\cdot\\overrightarrow{n}|}{|\\overrightarrow{BA_1}|\\cdot|\\overrightarrow{n}|}=\\dfrac{\\sqrt{10}}{5}$, 故直线$BA_1$与平面$ABM$所成的角为$\\arcsin\\dfrac{\\sqrt{10}}{5}$.",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t1.000\t0.938",
|
||||||
|
"20230517\t2023届高三02班\t1.000\t0.965",
|
||||||
|
"20230517\t2023届高三03班\t1.000\t0.914",
|
||||||
|
"20230517\t2023届高三04班\t1.000\t0.946",
|
||||||
|
"20230517\t2023届高三05班\t1.000\t0.984",
|
||||||
|
"20230517\t2023届高三06班\t1.000\t0.949",
|
||||||
|
"20230517\t2023届高三07班\t0.985\t0.924",
|
||||||
|
"20230517\t2023届高三08班\t1.000\t1.000",
|
||||||
|
"20230517\t2023届高三09班\t0.967\t0.950",
|
||||||
|
"20230517\t2023届高三10班\t0.973\t0.939",
|
||||||
|
"20230517\t2023届高三11班\t0.992\t0.950",
|
||||||
|
"20230517\t2023届高三12班\t1.000\t0.943"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题17",
|
"origin": "2023届高三下学期月考2试题17",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442170,7 +442391,20 @@
|
||||||
"ans": "(1) $a-c=\\pm 1$; (2) $C=\\dfrac{\\pi}{3}$",
|
"ans": "(1) $a-c=\\pm 1$; (2) $C=\\dfrac{\\pi}{3}$",
|
||||||
"solution": "(1) 由 $S=\\dfrac{1}{2}ac\\sin B=\\dfrac{\\sqrt{3}}{4}ac=\\sqrt{3}$知$ac=4$，\\\\\n由$a^2+c^2-b^2=2ac\\cos B$知$a^2+c^2=9$.\\\\\n结合两式得$(a-c)^2=1$, 故$a-c=\\pm 1$\\\\\n(2) 由$2\\cos C (ac\\cos B+cb\\cos A)=c^2$知$2a\\cos B\\cos C+2b \\cos A\\cos C=c$,\\\\\n又由正弦定理知 $2\\cos C(\\sin A\\cos B+\\sin B\\cos A)=\\sin C$，\\\\\n$2\\cos C \\sin (A+B)=2\\cos C \\sin C=\\sin C$,其中$C\\in (0,\\pi), \\sin C>0$,\\\\\n故$\\cos C=\\dfrac{1}{2}$, $C\\in(0,\\pi)$, $C=\\dfrac{\\pi}{3}$.",
|
"solution": "(1) 由 $S=\\dfrac{1}{2}ac\\sin B=\\dfrac{\\sqrt{3}}{4}ac=\\sqrt{3}$知$ac=4$，\\\\\n由$a^2+c^2-b^2=2ac\\cos B$知$a^2+c^2=9$.\\\\\n结合两式得$(a-c)^2=1$, 故$a-c=\\pm 1$\\\\\n(2) 由$2\\cos C (ac\\cos B+cb\\cos A)=c^2$知$2a\\cos B\\cos C+2b \\cos A\\cos C=c$,\\\\\n又由正弦定理知 $2\\cos C(\\sin A\\cos B+\\sin B\\cos A)=\\sin C$，\\\\\n$2\\cos C \\sin (A+B)=2\\cos C \\sin C=\\sin C$,其中$C\\in (0,\\pi), \\sin C>0$,\\\\\n故$\\cos C=\\dfrac{1}{2}$, $C\\in(0,\\pi)$, $C=\\dfrac{\\pi}{3}$.",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.961\t0.985",
|
||||||
|
"20230517\t2023届高三02班\t0.984\t0.996",
|
||||||
|
"20230517\t2023届高三03班\t0.920\t0.922",
|
||||||
|
"20230517\t2023届高三04班\t0.956\t0.967",
|
||||||
|
"20230517\t2023届高三05班\t0.939\t0.957",
|
||||||
|
"20230517\t2023届高三06班\t0.940\t0.888",
|
||||||
|
"20230517\t2023届高三07班\t0.965\t0.928",
|
||||||
|
"20230517\t2023届高三08班\t0.981\t0.962",
|
||||||
|
"20230517\t2023届高三09班\t0.944\t0.950",
|
||||||
|
"20230517\t2023届高三10班\t0.973\t0.889",
|
||||||
|
"20230517\t2023届高三11班\t0.958\t0.894",
|
||||||
|
"20230517\t2023届高三12班\t0.938\t0.932"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题18",
|
"origin": "2023届高三下学期月考2试题18",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442190,7 +442424,20 @@
|
||||||
"ans": "(1) $p=60$, $q=40$, $x=100$, $y=100$; (2) $\\chi^2=8$, 有$95 \\%$的把握认为注射此种疫苗有效; (3) 分布为$\\begin{pmatrix}0&1&2&3&4\\\\\\dfrac{1}{210}&\\dfrac{4}{35}&\\dfrac{3}{7}&\\dfrac{8}{21}&\\dfrac{1}{14}\\end{pmatrix}$, $E[X]=\\dfrac{12}{5}$",
|
"ans": "(1) $p=60$, $q=40$, $x=100$, $y=100$; (2) $\\chi^2=8$, 有$95 \\%$的把握认为注射此种疫苗有效; (3) 分布为$\\begin{pmatrix}0&1&2&3&4\\\\\\dfrac{1}{210}&\\dfrac{4}{35}&\\dfrac{3}{7}&\\dfrac{8}{21}&\\dfrac{1}{14}\\end{pmatrix}$, $E[X]=\\dfrac{12}{5}$",
|
||||||
"solution": "(1) $\\dfrac{p}{p+40}=\\dfrac{3}{5}$得$p=60$, $q=40$, $x=100$, $y=100$.\\\\\n(2) 原假设$H_0:$ 是否注射此种疫苗与是否感染病毒无关.\\\\\n$\\chi^2=\\dfrac{200\\times (40\\times 40-60\\times 60)^2}{100\\times 100\\times 100\\times 100}=8>3.841$\\\\\n故拒绝原假设，即有$95 \\%$的把握认为注射此种疫苗有效.\\\\\n(3) 抽取$6$只未注射疫苗、$4$只注射疫苗的小白鼠.\\\\\n$P(X=0)=\\dfrac{C_6^0C_4^4}{C_{10}^4}=\\dfrac{1}{210}$;\\\\\n$P(X=1)=\\dfrac{C_6^1C_4^3}{C_{10}^4}=\\dfrac{4}{35}$;\\\\\n$P(X=2)=\\dfrac{C_6^2C_4^2}{C_{10}^4}=\\dfrac{3}{7}$;\\\\\n$P(X=3)=\\dfrac{C_6^3C_4^1}{C_{10}^4}=\\dfrac{8}{21}$;\\\\\n$P(X=4)=\\dfrac{C_6^4C_4^0}{C_{10}^4}=\\dfrac{1}{14}$.\\\\\n故$X$的分布为$\\begin{pmatrix}\n0&1&2&3&4\\\\\n\\dfrac{1}{210}&\\dfrac{4}{35}&\\dfrac{3}{7}&\\dfrac{8}{21}&\\dfrac{1}{14}\n\\end{pmatrix},$\\\\\n期望$E[X]=0\\times \\dfrac{1}{210}+1\\times \\dfrac{4}{35}+2\\times \\dfrac{3}{7}+3\\times \\dfrac{8}{21}+4\\times \\dfrac{1}{14}=\\dfrac{12}{5}$.",
|
"solution": "(1) $\\dfrac{p}{p+40}=\\dfrac{3}{5}$得$p=60$, $q=40$, $x=100$, $y=100$.\\\\\n(2) 原假设$H_0:$ 是否注射此种疫苗与是否感染病毒无关.\\\\\n$\\chi^2=\\dfrac{200\\times (40\\times 40-60\\times 60)^2}{100\\times 100\\times 100\\times 100}=8>3.841$\\\\\n故拒绝原假设，即有$95 \\%$的把握认为注射此种疫苗有效.\\\\\n(3) 抽取$6$只未注射疫苗、$4$只注射疫苗的小白鼠.\\\\\n$P(X=0)=\\dfrac{C_6^0C_4^4}{C_{10}^4}=\\dfrac{1}{210}$;\\\\\n$P(X=1)=\\dfrac{C_6^1C_4^3}{C_{10}^4}=\\dfrac{4}{35}$;\\\\\n$P(X=2)=\\dfrac{C_6^2C_4^2}{C_{10}^4}=\\dfrac{3}{7}$;\\\\\n$P(X=3)=\\dfrac{C_6^3C_4^1}{C_{10}^4}=\\dfrac{8}{21}$;\\\\\n$P(X=4)=\\dfrac{C_6^4C_4^0}{C_{10}^4}=\\dfrac{1}{14}$.\\\\\n故$X$的分布为$\\begin{pmatrix}\n0&1&2&3&4\\\\\n\\dfrac{1}{210}&\\dfrac{4}{35}&\\dfrac{3}{7}&\\dfrac{8}{21}&\\dfrac{1}{14}\n\\end{pmatrix},$\\\\\n期望$E[X]=0\\times \\dfrac{1}{210}+1\\times \\dfrac{4}{35}+2\\times \\dfrac{3}{7}+3\\times \\dfrac{8}{21}+4\\times \\dfrac{1}{14}=\\dfrac{12}{5}$.",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t1.000\t0.824\t0.833",
|
||||||
|
"20230517\t2023届高三02班\t1.000\t0.844\t0.672",
|
||||||
|
"20230517\t2023届高三03班\t1.000\t0.802\t0.713",
|
||||||
|
"20230517\t2023届高三04班\t1.000\t0.708\t0.706",
|
||||||
|
"20230517\t2023届高三05班\t1.000\t0.684\t0.811",
|
||||||
|
"20230517\t2023届高三06班\t1.000\t0.756\t0.791",
|
||||||
|
"20230517\t2023届高三07班\t0.939\t0.712\t0.742",
|
||||||
|
"20230517\t2023届高三08班\t1.000\t0.712\t0.660",
|
||||||
|
"20230517\t2023届高三09班\t1.000\t0.658\t0.783",
|
||||||
|
"20230517\t2023届高三10班\t0.946\t0.615\t0.761",
|
||||||
|
"20230517\t2023届高三11班\t1.000\t0.812\t0.758",
|
||||||
|
"20230517\t2023届高三12班\t1.000\t0.698\t0.812"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题19",
|
"origin": "2023届高三下学期月考2试题19",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442210,7 +442457,20 @@
|
||||||
"ans": "(1) $\\dfrac 12$; (2) 证明略; (3) $\\dfrac 92$",
|
"ans": "(1) $\\dfrac 12$; (2) 证明略; (3) $\\dfrac 92$",
|
||||||
"solution": "(1) 椭圆的离心率$e=\\dfrac{1}{2}$;\\\\\n(2) 证明: 当$x_0=2$时，$y_0=0,$ 过点$P$的椭圆$C$的切线方程为 $x=2$,符合$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$，\\\\\n同理，当$x_0=-2$时，也符合；\\\\\n当$x_0\\neq\\pm 2$时，设过点$P$的椭圆$C$的切线方程为$y-y_0=k(x-x_0)$($k$存在),\\\\\n联立$\\begin{cases}\ny-y_0=k(x-x_0),\\\\\n \\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1\n\\end{cases}$得$(3+4k^2)x^2+8k(y-kx_0)x+4(y_0-kx_0)^2-12=0$,\\\\\n$\\Delta=0$得$(x_0^2-4)k^2-2x_0y_0k+y_0^2-3=0$,解得$k=\\dfrac{x_0y_0}{x_0^2-4}=\\dfrac{x_0y_0}{4(1-\\dfrac{y_0^2}{3})-4}=-\\dfrac{3x_0}{4y_0}.$\\\\\n故$y-y_0=-\\dfrac{3x_0}{4y_0}(x-x_0)$,即$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$.\\\\\n综上，过点$P$的椭圆$C$的切线方程为$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$.\\\\\n(3) 设$A(x_1,y_1).B(x_2,y_2),x_1\\neq x_2,M(4,t)$.\\\\\n则切线$MA:\\dfrac{x_1x}{4}+\\dfrac{y_1y}{3}=1,$代入$(4,t)$得$x_1+\\dfrac{ty_1}{3}=1$,\\\\\n同理，$x_1+\\dfrac{ty_1}{3}=1$，\\\\\n故$A(x_1,y_1),B(x_2,y_2)$在直线$x+\\dfrac{ty}{3}=1$上，故直线$AB:x=-\\dfrac{ty}{3}+1$.\\\\\n联立$\\begin{cases}\nx=-\\dfrac{ty}{3}+1,\\\\\n\\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1\n\\end{cases}$\n得\n$(4+\\dfrac{t^2}{3})y^2-2ty-9=0$, $\\Delta=16t^2+144>0$,\\\\\n$|AB|=\\sqrt{1+\\dfrac{t^2}{9}}\\cdot |y_1-y_2|=\\sqrt{1+\\dfrac{t^2}{9}}\\cdot \\dfrac{\\sqrt{16t^2+144}}{4+\\dfrac{t^2}{3}}$,\\\\\n$M$到直线$AB$的距离$d=\\dfrac{|4+\\dfrac{t^2}{3}-1|}{\\sqrt{1+\\dfrac{t^2}{9}}}=\\dfrac{3+\\dfrac{t^2}{3}}{\\sqrt{1+\\dfrac{t^2}{9}}}$,\\\\\n$\\triangle MAB$的面积$S=\\dfrac{1}{2}|AB|\\cdot d=\\dfrac{1}{2}\\cdot \\sqrt{1+\\dfrac{t^2}{9}}\\cdot \\dfrac{\\sqrt{16t^2+144}}{4+\\dfrac{t^2}{3}}\\cdot \\dfrac{3+\\dfrac{t^2}{3}}{\\sqrt{1+\\dfrac{t^2}{9}}}=\\dfrac{2(t^2+9)\\sqrt{t^2+9}}{t^2+12}$,\\\\\n令$\\lambda=\\sqrt{t^2+9}\\geq3, S=f(\\lambda)=\\dfrac{2\\lambda^3}{\\lambda^2+3},$\n则$f^{'} (\\lambda)=\\dfrac{2\\lambda^4+18\\lambda^2}{(\\lambda^2+3)^2}>0$,故$f(\\lambda)$在$[3,+\\infty)$严格增，$f(\\lambda)_{\\min}=f(3)=\\dfrac{9}{2}$,故$\\triangle MAB$的面积的最小值为$\\dfrac{9}{2},$ 此时$M$的坐标为$(4,0)$.",
|
"solution": "(1) 椭圆的离心率$e=\\dfrac{1}{2}$;\\\\\n(2) 证明: 当$x_0=2$时，$y_0=0,$ 过点$P$的椭圆$C$的切线方程为 $x=2$,符合$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$，\\\\\n同理，当$x_0=-2$时，也符合；\\\\\n当$x_0\\neq\\pm 2$时，设过点$P$的椭圆$C$的切线方程为$y-y_0=k(x-x_0)$($k$存在),\\\\\n联立$\\begin{cases}\ny-y_0=k(x-x_0),\\\\\n \\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1\n\\end{cases}$得$(3+4k^2)x^2+8k(y-kx_0)x+4(y_0-kx_0)^2-12=0$,\\\\\n$\\Delta=0$得$(x_0^2-4)k^2-2x_0y_0k+y_0^2-3=0$,解得$k=\\dfrac{x_0y_0}{x_0^2-4}=\\dfrac{x_0y_0}{4(1-\\dfrac{y_0^2}{3})-4}=-\\dfrac{3x_0}{4y_0}.$\\\\\n故$y-y_0=-\\dfrac{3x_0}{4y_0}(x-x_0)$,即$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$.\\\\\n综上，过点$P$的椭圆$C$的切线方程为$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$.\\\\\n(3) 设$A(x_1,y_1).B(x_2,y_2),x_1\\neq x_2,M(4,t)$.\\\\\n则切线$MA:\\dfrac{x_1x}{4}+\\dfrac{y_1y}{3}=1,$代入$(4,t)$得$x_1+\\dfrac{ty_1}{3}=1$,\\\\\n同理，$x_1+\\dfrac{ty_1}{3}=1$，\\\\\n故$A(x_1,y_1),B(x_2,y_2)$在直线$x+\\dfrac{ty}{3}=1$上，故直线$AB:x=-\\dfrac{ty}{3}+1$.\\\\\n联立$\\begin{cases}\nx=-\\dfrac{ty}{3}+1,\\\\\n\\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1\n\\end{cases}$\n得\n$(4+\\dfrac{t^2}{3})y^2-2ty-9=0$, $\\Delta=16t^2+144>0$,\\\\\n$|AB|=\\sqrt{1+\\dfrac{t^2}{9}}\\cdot |y_1-y_2|=\\sqrt{1+\\dfrac{t^2}{9}}\\cdot \\dfrac{\\sqrt{16t^2+144}}{4+\\dfrac{t^2}{3}}$,\\\\\n$M$到直线$AB$的距离$d=\\dfrac{|4+\\dfrac{t^2}{3}-1|}{\\sqrt{1+\\dfrac{t^2}{9}}}=\\dfrac{3+\\dfrac{t^2}{3}}{\\sqrt{1+\\dfrac{t^2}{9}}}$,\\\\\n$\\triangle MAB$的面积$S=\\dfrac{1}{2}|AB|\\cdot d=\\dfrac{1}{2}\\cdot \\sqrt{1+\\dfrac{t^2}{9}}\\cdot \\dfrac{\\sqrt{16t^2+144}}{4+\\dfrac{t^2}{3}}\\cdot \\dfrac{3+\\dfrac{t^2}{3}}{\\sqrt{1+\\dfrac{t^2}{9}}}=\\dfrac{2(t^2+9)\\sqrt{t^2+9}}{t^2+12}$,\\\\\n令$\\lambda=\\sqrt{t^2+9}\\geq3, S=f(\\lambda)=\\dfrac{2\\lambda^3}{\\lambda^2+3},$\n则$f^{'} (\\lambda)=\\dfrac{2\\lambda^4+18\\lambda^2}{(\\lambda^2+3)^2}>0$,故$f(\\lambda)$在$[3,+\\infty)$严格增，$f(\\lambda)_{\\min}=f(3)=\\dfrac{9}{2}$,故$\\triangle MAB$的面积的最小值为$\\dfrac{9}{2},$ 此时$M$的坐标为$(4,0)$.",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t1.000\t0.701\t0.228",
|
||||||
|
"20230517\t2023届高三02班\t1.000\t0.432\t0.129",
|
||||||
|
"20230517\t2023届高三03班\t1.000\t0.603\t0.250",
|
||||||
|
"20230517\t2023届高三04班\t0.933\t0.694\t0.242",
|
||||||
|
"20230517\t2023届高三05班\t0.961\t0.386\t0.062",
|
||||||
|
"20230517\t2023届高三06班\t0.962\t0.427\t0.122",
|
||||||
|
"20230517\t2023届高三07班\t1.000\t0.364\t0.000",
|
||||||
|
"20230517\t2023届高三08班\t1.000\t0.397\t0.087",
|
||||||
|
"20230517\t2023届高三09班\t0.967\t0.283\t0.058",
|
||||||
|
"20230517\t2023届高三10班\t0.973\t0.360\t0.057",
|
||||||
|
"20230517\t2023届高三11班\t0.950\t0.333\t0.019",
|
||||||
|
"20230517\t2023届高三12班\t1.000\t0.347\t0.099"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题20",
|
"origin": "2023届高三下学期月考2试题20",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
@ -442230,7 +442490,20 @@
|
||||||
"ans": "(1) 证明略; (2) $3$; (3) 不存在, 证明略",
|
"ans": "(1) 证明略; (2) $3$; (3) 不存在, 证明略",
|
||||||
"solution": "(1) $x_1=\\dfrac{1}{2},x_{n+1}=g(x_n)=\\dfrac{x_n}{x_{n+1}},$故$x_n>0,\\dfrac{1}{x_{n+1}}=\\dfrac{x_n+1}{x_n}=\\dfrac{1}{x_n}+1$,即$\\dfrac{1}{x_{n+1}}-\\dfrac{1}{x_{n}}=1$,\\\\因此数列$\\{\\dfrac{1}{x_n}\\}$是以$2$为首项，$1$为公差的等差数列.\\\\\n(2) 对任意$x>0$ 均有$f(x)-mg(x)=\\ln (x+1)-\\dfrac{mx}{x+1}+1>0,$\\\\\n令$h(x)=\\ln (x+1)-\\dfrac{mx}{x+1}+1,x>0,$则$h^{'}(x)=\\dfrac{x+1-m}{(x+1)^2}$.\\\\\n当$m\\geq4$时，$h(1)=\\ln 2-\\dfrac{m}{2}+1<2-\\dfrac{m}{2}<0,$这与$h(x)>0$对$x>0$恒成立矛盾；\\\\\n当$m=3$时，$h(x)=\\ln (x+1)-\\dfrac{3x}{x+1}+1,h^{'}(x)\\dfrac{x-2}{(x+1)^2}.h(x)$在$(0,2]$严格减，在$[2,+\\infty)$严格增，故$h(x)_{\\min}=h(2)=\\ln 3-2+1=\\ln 3-1>0$,符合题意.\\\\\n综上，整数$m$的最大值为$3$.\\\\\n(3) 对任意正整数$t$,取$n=100t,$则 \\\\$\\displaystyle f(n-t)=f(99t)=\\ln (1+99t)=\\ln \\dfrac{1+99t}{99t}+\\ln \\dfrac{99t}{99t-1}+\\cdots +\\ln \\dfrac{2}{1}=\\sum_{k=1}^{99t}\\ln (1+\\dfrac{1}{k}).$\\\\\n$\\displaystyle n-\\sum_{k=1}^{100t}g(k)=\\sum_{k=1}^{100t}(1- g(k))=\\sum_{k=1}^{100t} \\dfrac{1}{1+k}=\\sum_{k=1}^{99t} \\dfrac{1}{1+k}+\\sum_{k=99t+1}^{100t} \\dfrac{1}{1+k}.$\\\\\n$\\displaystyle f(n-t)-[ n-\\sum_{k=1}^{100t}g(k)]=\\sum_{k=1}^{99t} (\\ln (1+\\dfrac{1}{k})-\\dfrac{1}{1+k})-\\sum_{k=99t+1}^{100t} \\dfrac{1}{1+k}.$\\\\\n令$H(x)=\\ln (x+1)-\\dfrac{x}{x+1},x>0$,则$H^{'}(x)=\\dfrac{x}{(x+1)^2}>0$恒成立，故$H(x)$在$(0,+\\infty)$严格增，$H(x)>H(0)=0$，故$\\ln (1+x)>\\dfrac{x}{x+1}$对$x>0$恒成立.\\\\\n因此$\\ln (1+\\dfrac{1}{k})>\\dfrac{\\dfrac{1}{k}}{1+\\dfrac{1}{k}}=\\dfrac{1}{1+k}$,\\\\\n$\\displaystyle f(n-t)-[ n-\\sum_{k=1}^{100t}g(k)]=\\sum_{k=1}^{99t} (\\ln (1+\\dfrac{1}{k})-\\dfrac{1}{1+k})-\\sum_{k=99t+1}^{100t} \\dfrac{1}{1+k}$\\\\\n$\\displaystyle>\\sum_{k=2}^{99t} (\\ln (1+\\dfrac{1}{k})-\\dfrac{1}{1+k})+(\\ln 2-\\dfrac{1}{2})- \\dfrac{t}{1+99t+1}>\\ln 2-\\dfrac{1}{2}-\\dfrac{1}{99+\\dfrac{2}{t}}>0.1-\\dfrac{1}{99}>0.$\\\\\n因此不存在正整数$t$使得对任意$n \\in \\mathbf{N}$, $n \\geq t$, 都有$\\displaystyle f(n-t)<n-\\sum_{k=1}^n g(k)$成立.",
|
"solution": "(1) $x_1=\\dfrac{1}{2},x_{n+1}=g(x_n)=\\dfrac{x_n}{x_{n+1}},$故$x_n>0,\\dfrac{1}{x_{n+1}}=\\dfrac{x_n+1}{x_n}=\\dfrac{1}{x_n}+1$,即$\\dfrac{1}{x_{n+1}}-\\dfrac{1}{x_{n}}=1$,\\\\因此数列$\\{\\dfrac{1}{x_n}\\}$是以$2$为首项，$1$为公差的等差数列.\\\\\n(2) 对任意$x>0$ 均有$f(x)-mg(x)=\\ln (x+1)-\\dfrac{mx}{x+1}+1>0,$\\\\\n令$h(x)=\\ln (x+1)-\\dfrac{mx}{x+1}+1,x>0,$则$h^{'}(x)=\\dfrac{x+1-m}{(x+1)^2}$.\\\\\n当$m\\geq4$时，$h(1)=\\ln 2-\\dfrac{m}{2}+1<2-\\dfrac{m}{2}<0,$这与$h(x)>0$对$x>0$恒成立矛盾；\\\\\n当$m=3$时，$h(x)=\\ln (x+1)-\\dfrac{3x}{x+1}+1,h^{'}(x)\\dfrac{x-2}{(x+1)^2}.h(x)$在$(0,2]$严格减，在$[2,+\\infty)$严格增，故$h(x)_{\\min}=h(2)=\\ln 3-2+1=\\ln 3-1>0$,符合题意.\\\\\n综上，整数$m$的最大值为$3$.\\\\\n(3) 对任意正整数$t$,取$n=100t,$则 \\\\$\\displaystyle f(n-t)=f(99t)=\\ln (1+99t)=\\ln \\dfrac{1+99t}{99t}+\\ln \\dfrac{99t}{99t-1}+\\cdots +\\ln \\dfrac{2}{1}=\\sum_{k=1}^{99t}\\ln (1+\\dfrac{1}{k}).$\\\\\n$\\displaystyle n-\\sum_{k=1}^{100t}g(k)=\\sum_{k=1}^{100t}(1- g(k))=\\sum_{k=1}^{100t} \\dfrac{1}{1+k}=\\sum_{k=1}^{99t} \\dfrac{1}{1+k}+\\sum_{k=99t+1}^{100t} \\dfrac{1}{1+k}.$\\\\\n$\\displaystyle f(n-t)-[ n-\\sum_{k=1}^{100t}g(k)]=\\sum_{k=1}^{99t} (\\ln (1+\\dfrac{1}{k})-\\dfrac{1}{1+k})-\\sum_{k=99t+1}^{100t} \\dfrac{1}{1+k}.$\\\\\n令$H(x)=\\ln (x+1)-\\dfrac{x}{x+1},x>0$,则$H^{'}(x)=\\dfrac{x}{(x+1)^2}>0$恒成立，故$H(x)$在$(0,+\\infty)$严格增，$H(x)>H(0)=0$，故$\\ln (1+x)>\\dfrac{x}{x+1}$对$x>0$恒成立.\\\\\n因此$\\ln (1+\\dfrac{1}{k})>\\dfrac{\\dfrac{1}{k}}{1+\\dfrac{1}{k}}=\\dfrac{1}{1+k}$,\\\\\n$\\displaystyle f(n-t)-[ n-\\sum_{k=1}^{100t}g(k)]=\\sum_{k=1}^{99t} (\\ln (1+\\dfrac{1}{k})-\\dfrac{1}{1+k})-\\sum_{k=99t+1}^{100t} \\dfrac{1}{1+k}$\\\\\n$\\displaystyle>\\sum_{k=2}^{99t} (\\ln (1+\\dfrac{1}{k})-\\dfrac{1}{1+k})+(\\ln 2-\\dfrac{1}{2})- \\dfrac{t}{1+99t+1}>\\ln 2-\\dfrac{1}{2}-\\dfrac{1}{99+\\dfrac{2}{t}}>0.1-\\dfrac{1}{99}>0.$\\\\\n因此不存在正整数$t$使得对任意$n \\in \\mathbf{N}$, $n \\geq t$, 都有$\\displaystyle f(n-t)<n-\\sum_{k=1}^n g(k)$成立.",
|
||||||
"duration": -1,
|
"duration": -1,
|
||||||
"usages": [],
|
"usages": [
|
||||||
|
"20230517\t2023届高三01班\t0.934\t0.721\t0.070",
|
||||||
|
"20230517\t2023届高三02班\t0.938\t0.526\t0.020",
|
||||||
|
"20230517\t2023届高三03班\t0.879\t0.523\t0.017",
|
||||||
|
"20230517\t2023届高三04班\t0.958\t0.439\t0.004",
|
||||||
|
"20230517\t2023届高三05班\t0.875\t0.434\t0.007",
|
||||||
|
"20230517\t2023届高三06班\t0.865\t0.355\t0.035",
|
||||||
|
"20230517\t2023届高三07班\t0.939\t0.359\t0.000",
|
||||||
|
"20230517\t2023届高三08班\t0.904\t0.423\t0.029",
|
||||||
|
"20230517\t2023届高三09班\t0.858\t0.267\t0.013",
|
||||||
|
"20230517\t2023届高三10班\t0.858\t0.306\t0.024",
|
||||||
|
"20230517\t2023届高三11班\t0.863\t0.333\t0.006",
|
||||||
|
"20230517\t2023届高三12班\t0.854\t0.319\t0.005"
|
||||||
|
],
|
||||||
"origin": "2023届高三下学期月考2试题21",
|
"origin": "2023届高三下学期月考2试题21",
|
||||||
"edit": [
|
"edit": [
|
||||||
"20230507\t余利成"
|
"20230507\t余利成"
|
||||||
|
|
|
||||||
Reference in New Issue