录入第三轮讲义4-6使用数据
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 7,
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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@ -1,98 +1,419 @@
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usages
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012531
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p20230519 2023届高三11班 0.900
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p20230519 2023届高三12班 1.000
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p20230519 2023届高三02班 0.968
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p20230519 2023届高三04班 1.000
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p20230519 2023届高三05班 1.000
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p20230519 2023届高三07班 1.000
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p20230519 2023届高三08班 0.938
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p20230519 2023届高三09班 0.900
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014943
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014909
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20230517 2023届高三01班 1.000 1.000
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012533
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p20230519 2023届高三11班 1.000
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p20230519 2023届高三12班 1.000
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p20230519 2023届高三02班 0.968
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p20230519 2023届高三04班 1.000
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p20230519 2023届高三05班 1.000
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p20230519 2023届高三07班 1.000
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p20230519 2023届高三08班 0.938
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||||
p20230519 2023届高三09班 0.900
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031397
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||||
20230517 2023届高三01班 0.809
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||||
031398
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||||
20230517 2023届高三01班 0.762
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012534
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p20230519 2023届高三11班 0.950
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p20230519 2023届高三12班 1.000
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p20230519 2023届高三04班 1.000
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||||
p20230519 2023届高三05班 0.921
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p20230519 2023届高三08班 0.875
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031399
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014943
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||||
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012535
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p20230519 2023届高三11班 1.000
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p20230519 2023届高三12班 0.957
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p20230519 2023届高三02班 1.000
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p20230519 2023届高三04班 1.000
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p20230519 2023届高三05班 0.947
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p20230519 2023届高三07班 1.000
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p20230519 2023届高三08班 1.000
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p20230519 2023届高三09班 1.000
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014909
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031397
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012536
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p20230519 2023届高三11班 0.350
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p20230519 2023届高三12班 0.261
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p20230519 2023届高三02班 0.806
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p20230519 2023届高三04班 0.586
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p20230519 2023届高三05班 0.658
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p20230519 2023届高三07班 0.688
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p20230519 2023届高三08班 0.625
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p20230519 2023届高三09班 0.433
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031398
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20230517 2023届高三02班 0.710
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031399
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012545
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p20230519 2023届高三11班 0.950 0.300
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p20230519 2023届高三12班 0.870 0.870
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p20230519 2023届高三02班 0.871 0.903
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p20230519 2023届高三04班 1.000 0.897
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p20230519 2023届高三05班 1.000 0.974
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p20230519 2023届高三07班 1.000 1.000
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p20230519 2023届高三08班 0.938 0.500
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p20230519 2023届高三09班 1.000 0.900
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014943
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20230517 2023届高三03班 0.923
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014909
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20230517 2023届高三03班 0.885 1.000
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012546
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p20230519 2023届高三11班 0.900 0.650
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p20230519 2023届高三12班 0.957 0.913
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p20230519 2023届高三02班 0.806 0.677
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p20230519 2023届高三04班 1.000 1.000
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p20230519 2023届高三05班 1.000 0.974
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p20230519 2023届高三07班 0.906 1.000
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p20230519 2023届高三08班 1.000 1.000
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p20230519 2023届高三09班 1.000 0.900
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031397
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20230517 2023届高三03班 0.885
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031398
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20230517 2023届高三03班 0.500
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012532
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p20230519 2023届高三12班 0.957
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p20230519 2023届高三04班 0.966
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p20230519 2023届高三07班 1.000
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p20230519 2023届高三09班 0.967
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031399
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20230517 2023届高三03班 0.423 0.269 0.462
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014943
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20230517 2023届高三04班 0.850
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012530
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p20230519 2023届高三02班 1.000
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p20230519 2023届高三08班 1.000
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p20230519 2023届高三09班 1.000
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014909
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20230517 2023届高三04班 0.850 0.750
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031397
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20230517 2023届高三04班 0.800
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012529
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p20230519 2023届高三07班 0.969
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031398
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20230517 2023届高三04班 0.550
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031399
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20230517 2023届高三04班 0.200 0.050 0.150
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012661
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p20230530 2023届高三12班 1.000
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014943
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20230517 2023届高三05班 0.912
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014909
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20230517 2023届高三05班 0.882 0.765
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031397
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20230517 2023届高三05班 0.912
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031398
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20230517 2023届高三05班 0.324
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031399
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20230517 2023届高三05班 0.735 0.471 0.294
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014944
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||||
20230523 2023届高三01班 1.000
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031400
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20230523 2023届高三01班 0.842
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014989
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20230523 2023届高三01班 0.895
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031401
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20230523 2023届高三01班 0.895
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014910
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20230523 2023届高三01班 1.000 0.895 0.368
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014944
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||||
20230523 2023届高三02班 0.964
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031400
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||||
20230523 2023届高三02班 0.714
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014989
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||||
20230523 2023届高三02班 0.714
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031401
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||||
20230523 2023届高三02班 0.571
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014910
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||||
20230523 2023届高三02班 0.929 0.929 0.286
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014944
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||||
20230523 2023届高三05班 0.972
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031400
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||||
20230523 2023届高三05班 0.944
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014989
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||||
20230523 2023届高三05班 0.778
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031401
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||||
20230523 2023届高三05班 0.750
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||||
014910
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||||
20230523 2023届高三05班 0.944 0.694 0.583
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014944
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||||
20230523 2023届高三06班 0.946
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031400
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||||
20230523 2023届高三06班 0.811
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014989
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||||
20230523 2023届高三06班 0.838
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||||
031401
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||||
20230523 2023届高三06班 0.568
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014910
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||||
20230523 2023届高三06班 1.000 0.892 0.162
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014987
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||||
20230518 2023届高三02班 0.938
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014913
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||||
20230518 2023届高三02班 0.938 0.812 0.406
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014990
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||||
20230518 2023届高三02班 0.406 0.562
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014914
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||||
20230518 2023届高三02班 0.750 0.719 0.469
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||||
014987
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||||
20230518 2023届高三03班 0.773
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||||
014913
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||||
20230518 2023届高三03班 1.000 0.864 0.136
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014990
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||||
20230518 2023届高三03班 0.909 0.500
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014914
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||||
20230518 2023届高三03班 1.000 0.773 0.455
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014987
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||||
20230518 2023届高三04班 0.905
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014913
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||||
20230518 2023届高三04班 0.905 0.762 0.619
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014990
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||||
20230518 2023届高三04班 0.667 0.667
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014914
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||||
20230518 2023届高三04班 0.571 0.381 0.429
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014987
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||||
20230518 2023届高三05班 0.842
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||||
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014913
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||||
20230518 2023届高三05班 0.868 0.842 0.789
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||||
014990
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||||
20230518 2023届高三05班 0.395 0.579
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||||
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||||
014914
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||||
20230518 2023届高三05班 0.895 0.632 0.184
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||||
014987
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||||
20230518 2023届高三06班 0.806
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||||
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||||
014913
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||||
20230518 2023届高三06班 0.917 0.667 0.111
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||||
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||||
014990
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||||
20230518 2023届高三06班 0.250 0.639
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||||
014914
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||||
20230518 2023届高三06班 0.861 0.694 0.222
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||||
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014911
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||||
20230526 2023届高三02班 0.870
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014991
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||||
20230526 2023届高三02班 1.000
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||||
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||||
014992
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||||
20230526 2023届高三02班 0.913
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||||
|
||||
014994
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||||
20230526 2023届高三02班 0.826
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||||
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||||
014946
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||||
20230526 2023届高三02班 0.174
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014995
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20230526 2023届高三02班 0.957 0.739 0.261
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||||
|
||||
014911
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||||
20230526 2023届高三04班 0.800
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014991
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||||
20230526 2023届高三04班 0.950
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||||
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||||
014992
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||||
20230526 2023届高三04班 0.550
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||||
|
||||
014994
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||||
20230526 2023届高三04班 0.800
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||||
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||||
014946
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||||
20230526 2023届高三04班 0.050
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014995
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20230526 2023届高三04班 1.000 0.750 0.050
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||||
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||||
014911
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||||
20230526 2023届高三05班 0.794
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014991
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||||
20230526 2023届高三05班 0.971
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||||
|
||||
014992
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||||
20230526 2023届高三05班 0.941
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014994
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||||
20230526 2023届高三05班 0.941
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||||
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014946
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||||
20230526 2023届高三05班 0.088
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014995
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||||
20230526 2023届高三05班 1.000 0.882 0.324
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||||
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||||
014911
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||||
20230526 2023届高三06班 0.853
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014991
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||||
20230526 2023届高三06班 0.971
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||||
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014992
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||||
20230526 2023届高三06班 0.853
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||||
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014994
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||||
20230526 2023届高三06班 0.824
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014946
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||||
20230526 2023届高三06班 0.441
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014995
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20230526 2023届高三06班 1.000 0.794 0.206
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014911
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20230526 2023届高三07班 1.000
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014991
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20230526 2023届高三07班 1.000
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014992
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20230526 2023届高三07班 1.000
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014994
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20230526 2023届高三07班 0.000
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014946
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||||
20230526 2023届高三07班 0.000
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014995
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20230526 2023届高三07班 1.000 0.000 0.000
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014916
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||||
20230524 2023届高三01班 1.000
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014901
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||||
20230524 2023届高三01班 0.818
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014918
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20230524 2023届高三01班 1.000 1.000
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014919
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20230524 2023届高三01班 1.000 0.727
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014916
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||||
20230524 2023届高三02班 0.962
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014901
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||||
20230524 2023届高三02班 0.808
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||||
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||||
014918
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||||
20230524 2023届高三02班 0.769 0.077
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|
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014919
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||||
20230524 2023届高三02班 0.269 0.308
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014916
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||||
20230524 2023届高三04班 1.000
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014901
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20230524 2023届高三04班 0.792
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||||
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014918
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20230524 2023届高三04班 0.667 0.333
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014919
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||||
20230524 2023届高三04班 0.208 0.042
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014916
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||||
20230524 2023届高三05班 1.000
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014901
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20230524 2023届高三05班 0.686
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014918
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||||
20230524 2023届高三05班 0.914 0.686
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|
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014919
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||||
20230524 2023届高三05班 0.114 0.229
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014916
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||||
20230524 2023届高三06班 1.000
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014901
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20230524 2023届高三06班 0.500
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014918
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20230524 2023届高三06班 1.000 0.861
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014919
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||||
20230524 2023届高三06班 0.972 0.278
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014917
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||||
20230529 2023届高三01班 0.895
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014915
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||||
20230529 2023届高三01班 1.000
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014905
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20230529 2023届高三01班 0.789 0.895
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014907
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||||
20230529 2023届高三01班 0.842 0.579
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014917
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||||
20230529 2023届高三02班 0.750
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014915
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20230529 2023届高三02班 0.950
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014905
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20230529 2023届高三02班 0.500 0.850
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014907
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20230529 2023届高三02班 0.550 0.200
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014917
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20230529 2023届高三03班 1.000
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014915
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20230529 2023届高三03班 1.000
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014905
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20230529 2023届高三03班 0.944 0.833
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014907
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20230529 2023届高三03班 0.944 0.389
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014917
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20230529 2023届高三04班 0.933
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014915
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20230529 2023届高三04班 1.000
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014905
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20230529 2023届高三04班 0.667 0.933
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014907
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20230529 2023届高三04班 0.933 0.400
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014917
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20230529 2023届高三05班 0.185
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014915
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20230529 2023届高三05班 0.963
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014905
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20230529 2023届高三05班 0.518 0.852
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014907
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20230529 2023届高三05班 0.407 0.593
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014917
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20230529 2023届高三06班 1.000
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||||
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014915
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||||
20230529 2023届高三06班 1.000
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014905
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20230529 2023届高三06班 0.677 0.839
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014907
|
||||
20230529 2023届高三06班 0.742 0.290
|
||||
|
||||
|
|
|
|||
|
|
@ -391883,7 +391883,13 @@
|
|||
"ans": "\\textcircled{3}",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230524\t2023届高三01班\t0.818",
|
||||
"20230524\t2023届高三02班\t0.808",
|
||||
"20230524\t2023届高三04班\t0.792",
|
||||
"20230524\t2023届高三05班\t0.686",
|
||||
"20230524\t2023届高三06班\t0.500"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-存在性问题中的构造和证明",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -391963,7 +391969,14 @@
|
|||
"ans": "(1) $a_n=n+5$, $b_n=3n+2$; (2) 存在, $m=11$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230529\t2023届高三01班\t0.789\t0.895",
|
||||
"20230529\t2023届高三02班\t0.500\t0.850",
|
||||
"20230529\t2023届高三03班\t0.944\t0.833",
|
||||
"20230529\t2023届高三04班\t0.667\t0.933",
|
||||
"20230529\t2023届高三05班\t0.518\t0.852",
|
||||
"20230529\t2023届高三06班\t0.677\t0.839"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-存在性问题中的构造和证明",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392003,7 +392016,14 @@
|
|||
"ans": "(1) $f_1(x)$存在短距, 不存在长距, $f_2(x)$存在短距, 也存在长距; (2) 存在满足条件的实数$a$, $a$的范围为$[-1,-\\dfrac 12]\\cup [\\dfrac 52,5]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230529\t2023届高三01班\t0.842\t0.579",
|
||||
"20230529\t2023届高三02班\t0.550\t0.200",
|
||||
"20230529\t2023届高三03班\t0.944\t0.389",
|
||||
"20230529\t2023届高三04班\t0.933\t0.400",
|
||||
"20230529\t2023届高三05班\t0.407\t0.593",
|
||||
"20230529\t2023届高三06班\t0.742\t0.290"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-存在性问题中的构造和证明",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392043,7 +392063,13 @@
|
|||
"ans": "(1) $[-1,6]$; (2) $[-13,9]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230517\t2023届高三01班\t1.000\t1.000",
|
||||
"20230517\t2023届高三02班\t0.903\t0.903",
|
||||
"20230517\t2023届高三03班\t0.885\t1.000",
|
||||
"20230517\t2023届高三04班\t0.850\t0.750",
|
||||
"20230517\t2023届高三05班\t0.882\t0.765"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-阅读新情境并作转化",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392063,7 +392089,12 @@
|
|||
"ans": "(1) (i) $A$与$B$被直线$l$分割; (ii) $A$与$C$不被直线$l$分割; (2) 如$x+y=0$, 理由略; (3) 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230523\t2023届高三01班\t1.000\t0.895\t0.368",
|
||||
"20230523\t2023届高三02班\t0.929\t0.929\t0.286",
|
||||
"20230523\t2023届高三05班\t0.944\t0.694\t0.583",
|
||||
"20230523\t2023届高三06班\t1.000\t0.892\t0.162"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-阅读新情境并作转化",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392083,7 +392114,13 @@
|
|||
"ans": "$(2,3)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230526\t2023届高三02班\t0.870",
|
||||
"20230526\t2023届高三04班\t0.800",
|
||||
"20230526\t2023届高三05班\t0.794",
|
||||
"20230526\t2023届高三06班\t0.853",
|
||||
"20230526\t2023届高三07班\t1.000"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-阅读新情境并作转化",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392125,7 +392162,13 @@
|
|||
"ans": "(1) $d(P_1,l_1)=1$, $d(P_2,l_1)=\\sqrt{5}$;\\\\\n(2) $D=\\left\\{(x,y)|\\begin{cases}x\\ge 2, \\\\ (x-2)^2+(y-2)^2=1,\\end{cases}\\text{ 或 } \\begin{cases} x\\le =2, \\\\ (x+2)^2+(y-2)^2=1, \\end{cases}\\text{ 或 }\\begin{cases} -2<x<2, \\\\ y=1 \\text{或} 3\\end{cases}\\right\\}$;\\\\\n(3) $\\Omega = \\{(0,y)|y \\in \\mathbf{R}, \\ y\\ne 2 \\}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230518\t2023届高三02班\t0.938\t0.812\t0.406",
|
||||
"20230518\t2023届高三03班\t1.000\t0.864\t0.136",
|
||||
"20230518\t2023届高三04班\t0.905\t0.762\t0.619",
|
||||
"20230518\t2023届高三05班\t0.868\t0.842\t0.789",
|
||||
"20230518\t2023届高三06班\t0.917\t0.667\t0.111"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-阅读新情境并作转化",
|
||||
"edit": [
|
||||
"20230411\t王伟叶",
|
||||
|
|
@ -392146,7 +392189,13 @@
|
|||
"ans": "(1) 是$T$点列, 理由略; (2) 是钝角三角形, 证明略; (3) 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230518\t2023届高三02班\t0.750\t0.719\t0.469",
|
||||
"20230518\t2023届高三03班\t1.000\t0.773\t0.455",
|
||||
"20230518\t2023届高三04班\t0.571\t0.381\t0.429",
|
||||
"20230518\t2023届高三05班\t0.895\t0.632\t0.184",
|
||||
"20230518\t2023届高三06班\t0.861\t0.694\t0.222"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-阅读新情境并作转化",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392166,7 +392215,14 @@
|
|||
"ans": "证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230529\t2023届高三01班\t1.000",
|
||||
"20230529\t2023届高三02班\t0.950",
|
||||
"20230529\t2023届高三03班\t1.000",
|
||||
"20230529\t2023届高三04班\t1.000",
|
||||
"20230529\t2023届高三05班\t0.963",
|
||||
"20230529\t2023届高三06班\t1.000"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-论证的训练",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392186,7 +392242,13 @@
|
|||
"ans": "是奇函数, 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230524\t2023届高三01班\t1.000",
|
||||
"20230524\t2023届高三02班\t0.962",
|
||||
"20230524\t2023届高三04班\t1.000",
|
||||
"20230524\t2023届高三05班\t1.000",
|
||||
"20230524\t2023届高三06班\t1.000"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-论证的训练",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392206,7 +392268,14 @@
|
|||
"ans": "是周期函数, 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230529\t2023届高三01班\t0.895",
|
||||
"20230529\t2023届高三02班\t0.750",
|
||||
"20230529\t2023届高三03班\t1.000",
|
||||
"20230529\t2023届高三04班\t0.933",
|
||||
"20230529\t2023届高三05班\t0.185",
|
||||
"20230529\t2023届高三06班\t1.000"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-论证的训练",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392226,7 +392295,13 @@
|
|||
"ans": "(1) 证明略; (2) 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230524\t2023届高三01班\t1.000\t1.000",
|
||||
"20230524\t2023届高三02班\t0.769\t0.077",
|
||||
"20230524\t2023届高三04班\t0.667\t0.333",
|
||||
"20230524\t2023届高三05班\t0.914\t0.686",
|
||||
"20230524\t2023届高三06班\t1.000\t0.861"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-论证的训练",
|
||||
"edit": [
|
||||
"20230411\t王伟叶",
|
||||
|
|
@ -392247,7 +392322,13 @@
|
|||
"ans": "(1) 不是有界数列, 理由略; (2) 不是有界数列, 理由略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230524\t2023届高三01班\t1.000\t0.727",
|
||||
"20230524\t2023届高三02班\t0.269\t0.308",
|
||||
"20230524\t2023届高三04班\t0.208\t0.042",
|
||||
"20230524\t2023届高三05班\t0.114\t0.229",
|
||||
"20230524\t2023届高三06班\t0.972\t0.278"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-论证的训练",
|
||||
"edit": [
|
||||
"20230411\t王伟叶"
|
||||
|
|
@ -392785,7 +392866,13 @@
|
|||
"ans": "$(\\dfrac 32,2)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230517\t2023届高三01班\t0.952",
|
||||
"20230517\t2023届高三02班\t0.903",
|
||||
"20230517\t2023届高三03班\t0.923",
|
||||
"20230517\t2023届高三04班\t0.850",
|
||||
"20230517\t2023届高三05班\t0.912"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-向数学家曹冲学转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -392805,7 +392892,12 @@
|
|||
"ans": "$36\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230523\t2023届高三01班\t1.000",
|
||||
"20230523\t2023届高三02班\t0.964",
|
||||
"20230523\t2023届高三05班\t0.972",
|
||||
"20230523\t2023届高三06班\t0.946"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-向数学家曹冲学转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -392845,7 +392937,13 @@
|
|||
"ans": "证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230526\t2023届高三02班\t0.174",
|
||||
"20230526\t2023届高三04班\t0.050",
|
||||
"20230526\t2023届高三05班\t0.088",
|
||||
"20230526\t2023届高三06班\t0.441",
|
||||
"20230526\t2023届高三07班\t0.000"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-向数学家曹冲学转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393768,7 +393866,13 @@
|
|||
"ans": "$4\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230518\t2023届高三02班\t0.938",
|
||||
"20230518\t2023届高三03班\t0.773",
|
||||
"20230518\t2023届高三04班\t0.905",
|
||||
"20230518\t2023届高三05班\t0.842",
|
||||
"20230518\t2023届高三06班\t0.806"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393808,7 +393912,12 @@
|
|||
"ans": "\\textcircled{2}\\textcircled{3}",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230523\t2023届高三01班\t0.895",
|
||||
"20230523\t2023届高三02班\t0.714",
|
||||
"20230523\t2023届高三05班\t0.778",
|
||||
"20230523\t2023届高三06班\t0.838"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393828,7 +393937,13 @@
|
|||
"ans": "(1) 证明略; (2) $[-\\dfrac 14,+\\infty)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230518\t2023届高三02班\t0.406\t0.562",
|
||||
"20230518\t2023届高三03班\t0.909\t0.500",
|
||||
"20230518\t2023届高三04班\t0.667\t0.667",
|
||||
"20230518\t2023届高三05班\t0.395\t0.579",
|
||||
"20230518\t2023届高三06班\t0.250\t0.639"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393848,7 +393963,13 @@
|
|||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230526\t2023届高三02班\t1.000",
|
||||
"20230526\t2023届高三04班\t0.950",
|
||||
"20230526\t2023届高三05班\t0.971",
|
||||
"20230526\t2023届高三06班\t0.971",
|
||||
"20230526\t2023届高三07班\t1.000"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393868,7 +393989,13 @@
|
|||
"ans": "C",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230526\t2023届高三02班\t0.913",
|
||||
"20230526\t2023届高三04班\t0.550",
|
||||
"20230526\t2023届高三05班\t0.941",
|
||||
"20230526\t2023届高三06班\t0.853",
|
||||
"20230526\t2023届高三07班\t1.000"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393910,7 +394037,13 @@
|
|||
"ans": "\\textcircled{2}\\textcircled{4}",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230526\t2023届高三02班\t0.826",
|
||||
"20230526\t2023届高三04班\t0.800",
|
||||
"20230526\t2023届高三05班\t0.941",
|
||||
"20230526\t2023届高三06班\t0.824",
|
||||
"20230526\t2023届高三07班\t0.000"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -393930,7 +394063,13 @@
|
|||
"ans": "(1) $2,5,8,11,8,5,2$;\\\\\n(2) $k=13$时$S_{2k-1}$取到最大, 最大值为$626$;\\\\\n(3) 共有四种满足要求的数列:\\\\\n第一种: $1,2,\\cdots,2^{m-2},2^{m-1},2^{m-1},2^{m-2},\\cdots,2,1$($2m$项), $S_{2022}=\\begin{cases}2^{m+1}-2^{2m-2022}-1, & 1500<m\\le 2022,\\\\2^{2022}-1, & m \\ge 2022;\\end{cases}$\\\\\n第二种: $1,2,\\cdots,2^{m-2},2^{m-1},2^{m-2},\\cdots,2,1$($2m-1$项), $S_{2022}=\\begin{cases}3\\cdot 2^{m-1}-2^{2m-2023}-1, & 1500<m\\le 2022,\\\\2^{2022}-1, & m \\ge 2022;\\end{cases}$\\\\\n第三种: $2^{m-1},2^{m-2},\\cdots,2,1,1,2,\\cdots,2^{m-2},2^{m-1}$($2m$项), $S_{2022}=\\begin{cases}2^m+2^{2022-m}-2, & 1500<m\\le 2022,\\\\2^m-2^{m-2022}, & m \\ge 2022;\\end{cases}$\\\\\n第四种: $2^{m-1},2^{m-2},\\cdots,2,1,2,\\cdots,2^{m-2},2^{m-1}$($2m$项), $S_{2022}=\\begin{cases}2^m+2^{2023-m}-3, & 1500<m\\le 2022,\\\\2^m-2^{m-2022}, & m \\ge 2022;\\end{cases}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230526\t2023届高三02班\t0.957\t0.739\t0.261",
|
||||
"20230526\t2023届高三04班\t1.000\t0.750\t0.050",
|
||||
"20230526\t2023届高三05班\t1.000\t0.882\t0.324",
|
||||
"20230526\t2023届高三06班\t1.000\t0.794\t0.206",
|
||||
"20230526\t2023届高三07班\t1.000\t0.000\t0.000"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化",
|
||||
"edit": [
|
||||
"20230412\t王伟叶"
|
||||
|
|
@ -539322,7 +539461,13 @@
|
|||
"ans": "$\\{\\dfrac 12\\}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230517\t2023届高三01班\t0.809",
|
||||
"20230517\t2023届高三02班\t0.871",
|
||||
"20230517\t2023届高三03班\t0.885",
|
||||
"20230517\t2023届高三04班\t0.800",
|
||||
"20230517\t2023届高三05班\t0.912"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-探究学习型问题建立联系巧转化-20230420修改",
|
||||
"edit": [
|
||||
"20230412\t王伟叶",
|
||||
|
|
@ -539345,7 +539490,13 @@
|
|||
"ans": "证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230517\t2023届高三01班\t0.762",
|
||||
"20230517\t2023届高三02班\t0.710",
|
||||
"20230517\t2023届高三03班\t0.500",
|
||||
"20230517\t2023届高三04班\t0.550",
|
||||
"20230517\t2023届高三05班\t0.324"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-向数学家曹冲学转化-20230420修改",
|
||||
"edit": [
|
||||
"20230412\t王伟叶",
|
||||
|
|
@ -539368,7 +539519,13 @@
|
|||
"ans": "(1) 存在, 理由略; (2) 存在, 理由略; (3) 存在, 理由略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230517\t2023届高三01班\t0.905\t0.619\t0.524",
|
||||
"20230517\t2023届高三02班\t0.710\t0.516\t0.581",
|
||||
"20230517\t2023届高三03班\t0.423\t0.269\t0.462",
|
||||
"20230517\t2023届高三04班\t0.200\t0.050\t0.150",
|
||||
"20230517\t2023届高三05班\t0.735\t0.471\t0.294"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-向数学家曹冲学转化-20230420修改",
|
||||
"edit": [
|
||||
"20230412\t王伟叶",
|
||||
|
|
@ -539393,7 +539550,12 @@
|
|||
"ans": "$(-\\infty,-6)\\cup (6,+\\infty)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230523\t2023届高三01班\t0.842",
|
||||
"20230523\t2023届高三02班\t0.714",
|
||||
"20230523\t2023届高三05班\t0.944",
|
||||
"20230523\t2023届高三06班\t0.811"
|
||||
],
|
||||
"origin": "2022届第三轮复习讲义-阅读新情境并作转化-20230420修改",
|
||||
"edit": [
|
||||
"20230411\t王伟叶",
|
||||
|
|
@ -539416,7 +539578,12 @@
|
|||
"ans": "$\\sqrt{10}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"usages": [
|
||||
"20230523\t2023届高三01班\t0.895",
|
||||
"20230523\t2023届高三02班\t0.571",
|
||||
"20230523\t2023届高三05班\t0.750",
|
||||
"20230523\t2023届高三06班\t0.568"
|
||||
],
|
||||
"origin": "2022届空中课堂学科精要名师点拨-向数学家曹冲学转化-20230420修改",
|
||||
"edit": [
|
||||
"20230412\t王伟叶",
|
||||
|
|
|
|||
Reference in New Issue