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1、北京市普通高等学校招生全国统一考试实测数据统计分析报告数学吐京轰布考试院2020年9月目 录一、总体分析.1二、题组分析.8（-）主客观题组.8（-）能力组块.14（三）知识组块.27（四）基础与发展.41（五）题型.48三、题目分析.56四、相关分析.126五、附录.129一、总体分析表 1 总分分析表总人数满分值最大值最小值平均值标准差差异系数48 3 2 51 501 50.01.01 0 4.0 22 4.9 30.2 4得分率a l p h a 系数标准误中数众数偏度峰度0.6 90.9 00.1 11 0 9.1 11 1 6.0-1.0 81.0 9图 1 总分分布曲线图图 2
2、题目难度与区分度坐标图.it.0O也口D8区分度一0.86:a:,4+0.2OO6度难表 2 题目整体分析表题目满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数144.00.03.9 70.3 20.0 80.9 90.1 30.0 1244.00.03.790.8 90.2 30.9 50.440.1 6344.00.03.740.9 90.2 60.9 30.460.2 1444.00.03.531.2 90.3 70.8 80.410.2 7544.00.03.471.3 60.3 90.8 70.470.3 6644.00.03.401.430.420.8 50.450.3
3、7744.00.02.791.8 40.6 60.700.530.6 2844.00.02.9 61.750.590.740.500.54944.00.02.1 32.0 00.9 40.530.490.6 81 044.00.01.451.9 21.3 30.3 60.3 10.411 155.00.03.9 72.0 20.510.790.560.501 255.00.04.0 01.510.3 80.8 00.6 10.401 355.00.03.6 31.9 80.550.730.6 40.591 455.00.03.792.1 40.560.760.6 00.6 01 555.00.
4、03.2 61.2 50.3 80.6 50.460.3 21 6 _ 155.00.04.450.8 60.1 90.8 90.470.1 61 6 _ 288.00.07.3 21.6 00.2 20.9 10.6 20.2 11 61 31 3.00.01 1.772.1 00.1 80.9 10.6 60.1 91 7_ 177.00.06.441.6 10.2 50.9 20.6 00.2 31 7_ 266.00.05.2 41.6 60.3 20.8 70.6 50.3 41 71 31 3.00.01 1.6 83.0 90.2 60.9 00.6 60.2 81 8 _ 14
5、4.00.03.8 10.6 00.1 60.9 50.3 00.1 01 8 _ 288.00.05.483.0 70.560.6 80.6 70.6 31 8 _ 322.00.01.1 90.9 80.8 20.6 00.2 30.2 91 81 41 4.00.01 0.483.6 30.3 50.750.6 80.431 9 _ 155.00.04.481.2 60.2 80.9 00.6 50.3 11 9 _ 21 01 0.00.03.1 43.3 91.0 80.3 10.700.6 81 91 51 5.00.07.6 24.0 00.520.510.8 00.562 0
6、_ 155.00.04.701.0 20.2 20.9 40.6 00.2 12 0 _ 21 01 0.00.04.6 62.9 20.6 30.470.770.572 01 51 5.00.09.3 63.480.3 70.6 20.8 20.452 1 _ 144.00.02.1 41.8 30.8 50.530.520.6 52 1 _ 255.00.01.0 81.3 71.2 70.2 20.520.422 1 _ 366.00.00.0 10.1 61 3.400.0 00.1 10.0 12 11 51 5.00.03.2 42.740.8 50.2 20.6 20.3 2表3
7、 题组整体分析表题目满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数客观题4040.00.031.237.280.230.780.840.36主观题110110.01.072.7919.200.260.660.980.40运算求解能力（基础）3636.00.032.115.980.190.890.840.28运算求解能力（发展）3838.00.023.118.650.370.610.910.50数据处理能力1414.00.010.483.630.350.750.680.43空间想象能力1717.00.015.292.770.180.900.690.21思维能力4545.00.026.
8、3410.950.420.590.920.57分析问题用解决问题能力2424.00.07.954.230.530.330.680.33函数导数与不等式2929.00.018.256.380.350.630.870.48三角函数三角恒等变换与解三角形2222.00.016.935.030.300.770.780.38数列1919.00.06.203.660.590.330.700.36立体几何1717.00.015.292.770.180.900.690.21解析几何2828.00.019.616.110.310.700.880.45统计与概率1414.00.010.483.630.350.75
9、0.680.43其 他（集合与常用逻辑用语，二项式定理，排列组合，复数，向量）2121.00.017.263.950.230.820.790.34基础性试题8686.00.071.6014.570.200.830.950.36发展性试题6464.00.032.4211.850.370.510.930.43选择题4040.00.031.237.280.230.780.840.36填空题2525.00.018.656.010.320.750.860.48解答题8585.00.054.1414.240.260.640.960.38表4 总分人数分布表分值人数比率（%）累计人数累计频率（）15010.
10、0010.0014810.0020.0014770.0190.02分值人数比率（盼累计人数累计频率（）14670.01160.03145340.07500.10144720.151220.25143830.172050.421421260.263310.681411850.385161.071402810.587971.651393470.7211442.371383390.7014833.071374570.9519404.011364690.9724094.981355031.0429126.031345071.0534197.081336151.2740348.351326071.264
11、6419.601316661.38530710.981306691.38597612.371297311.51670713.881287891.63749615.511277531.56824917.071267741.60902318.671258071.67983020.341248911.841072122.191238891.841161024.021228981.861250825.881218951.851340327.741209191.901432229.641199471.961526931.601189631.991623233.591179652.001719735.59
12、1169862.041818337.631159581.981914139.611149431.952008441.561139792.032106343.591129071.882197045.461119421.952291247.411109161.902382849.311098511.762467951.071088671.792554652.861078371.732638354.591067841.622716756.221057911.642795857.851047751.602873359.46分值人数比率（盼累计人数累计频率（）1037581.572949161.0310
13、27511.553024262.581017381.533098064.111006531.353163365.46996741.393230766.85986171.283292468.13976101.263353469.39965881.223412270.61956051.253472771.86945521.143527973.00935201.083579974.08925171.073631675.15914690.973678576.12904821.003726777.12894390.913770678.03884560.943816278.97873870.8038549
14、79.77863940.823894380.59853860.803932981.38844280.893975782.27833630.754012083.02823310.684045183.71813320.694078384.39803080.644109185.03793010.624139285.65782750.574166786.22772410.504190886.72762430.504215187.22752610.544241287.76742380.494265088.26732340.484288488.74722060.434309089.17712140.444
15、330489.61702120.444351690.05692040.424372090.47681870.394390790.86671690.354407691.21661670.354424391.55651680.354441191.90641570.324456892.23631530.324472192.54621410.294486292.83611400.294500293.12分值人数比率（盼累计人数累计频率（）601450.304514793.42591320.274527993.70581190.254539893.94571110.234550994.17561100.
16、234561994.40551130.234573294.63541210.254585394.8853980.204595195.09521120.234606395.3251950.204615895.5250870.184624595.7049940.194633995.8948860.184642596.0747930.194651896.2646750.164659396.4245630.134665696.5544700.144672696.6943670.144679396.8342810.174687497.0041710.154694597.1440610.134700697
17、.2739730.154707997.4238700.144714997.5737590.124720897.6936680.144727697.8335740.154735097.9834630.134741398.1133660.144747998.2532650.134754498.3831510.114759598.4930690.144766498.6329580.124772298.7528530.114777598.8627530.114782898.9726520.114788099.0825510.114793199.1824360.074796799.2623490.104
18、801699.3622440.094806099.4521310.064809199.5220340.074812599.5919420.094816799.6718240.054819199.72分值人数比率（盼累计人数累计频率（）17200.044821199.7616200.044823199.8115270.064825899.8614110.024826999.8813160.034828599.921290.024829499.9411100.024830499.961050.014830999.97910.004831099.97830.014831399.98740.01483
19、1799.98610.004831899.99520.004832099.99330.0148323100.00210.0048324100.00110.0048325100.00表5 总体分组分析表组别G 1G2G3G4G5G6G7G8G9G10分值范围1.0070.0086.0096.00103.00109.00114.00119.00125.00131.0070.0086.0096.00103.00109.00114.00119.00125.00131.00150.00平均分49.479.091.599.8106.2111.7116.8122.0127.8136.0得分率0.330.53
20、0.610.670.710.740.780.810.850.91二、题组分析(-)主客观题组1、客观题本题组共包含10道试题，题号是：1、2、3、4、5、6、7、8、9、10表6 客观题总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数4040.00.031.237.280.230.780.840.36图3 客观题分数分布图图4 客观题难度曲线图表7 客观题分组分析表分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值015230000000200.0436.701060000000001060.2223.7983753100000003790.7833.11
21、1278373600000008621.7844.5916113135170500000015573.2257.372011381062390113214000027285.6570.862482814891237635265751730045499.4183.4528306119116741628123167627299260710314.7095.953211253711141694193019531563984524791049021.71107.1336321062956401078155920912304233018241225925.37119.114071943118308565
22、889144219522929827217.12126.29合计483348334833483348334832483248324832483248325100.00 104.02得分率0.450.610.690.750.800.840.870.910.930.96-2、主观题本题组共包含11道试题，题号是：11、12、13、14、15、16、17、18、19、20、21表8 主观题总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数110110.01.072.7919.200.260.660.980.40图5 主观题分数分布图图6 主观题难度曲线图表 9 主观题分组分析表分值
23、G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值112000000000120.0215.00210000000000100.0218.80337000000000370.0815.2230000000000300.0616.80534000000000340.0721.12b39000000000390.0820.87763000000000630.1321.73840000000000400.0821.9063000000000630.1324.871062000000000620.1325.351173000000000730.1526.40126100000000061
24、0.1326.301370000000000700.1429.171484000000000840.1729.571578000000000780.1632.231669000000000690.1432.001766000000000660.1433.481888000000000880.1834.141972000000000720.1535.172078000000000780.1636.722182000000000820.1738.32221030000000001030.2139.482398000000000980.2041.53241080000000001080.2241.5
25、22591000000000910.1943.202686000000000860.1845.72271010000000001010.2145.73281020000000001020.2146.712998000000000980.2048.223085100000000860.1849.723190000000000900.1950.42321060000000001060.2251.47331222000000001240.2653.81341371000000001380.2954.14351444000000001480.3154.49361395000000001440.3056
26、.72371293000000001320.2758.063814221000000001630.3459.573913723000000001600.3361.534015522000000001770.3762.034115822000000001800.3763.29分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值4214956000000002050.4264.544314365000000002080.4364.944414155000000001960.4166.454515955000000002140.4467.6246107137000000002440.
27、5069.1847115140100000002560.5369.9548118171300000002920.6071.4949105206100000003120.6573.645049245700000003010.6274.5851452671600000003280.6875.6252532652300000003410.7176.9353482742000000003420.7177.9254123415000000004030.8380.0455112859300000003890.8080.79561431412960000004630.9682.645714326130800
28、00004780.9983.3358229617370000004780.9984.73591256279120000005481.1385.62602228320500000006001.2487.61613193297810000005741.1989.01620156345920000005931.2390.286307744610612000006411.3391.746409738218130000006901.4392.526509228827038000006881.4293.906604735933647000007891.6395.6267019393317109000008
29、381.7396.9068023277335213000008481.7598.10690171715151992500009271.9299.20700141764901729000009421.95100.657102189425316105000010372.15101.957204111267516103000010012.07103.22730345359455212000010742.22104.447401263243373691900010762.23106.0975003824539830113000011122.30107.1276012191569302154000113
30、82.35108.357700510243746319000011972.48109.737800711418568530600012972.68111.147900563223391555430012802.65112.2480002142723734062150012822.65113.3781002121604504212560013012.69114.90820004424345002600012402.57116.20830104341267283470012402.57117.52840001401213437940012992.69118.81分值G 1G2G3G4G5G6G7G
31、8G9G10人数比率(%)平均值85000120148312473204011582.40119.52860001191288443287011112.30121.19870010517282492318011152.31122.368800002879601322010122.09123.738900001124028462509621.99124.91900010033718169809201.90126.179100000236164545978441.75127.219200100041953872948811.82128.17930000012454613008091.67129.5
32、9940000000144042436611.37130.71950000000173213476851.42131.869600000005785456281.30133.039700000003805706531.35134.139800000000544815351.11135.269900000000445135571.15136.461000000000024504520.94137.701010000000023673690.76138.461020000000002422420.50139.791030000000001631630.34140.82104000000000138
33、1380.29141.9710500000000053530.11143.4910600000000013130.03144.1510700000000011110.02145.55108000000000330.01145.33109000000000110.00145.00110000000000110.00150.00合计483348334833483348334832483248324832483248325100.00 104.02得分率0.290.490.580.630.680.710.740.780.820.89-（-）能力组块1、运算求解能力（基础）本题组共包含8 道试题，题号
34、是：1、2、3、5、11、12、19 1、20 1表 10 运算求解能力（基础）总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数3636.00.032.115.980.190.890.840.28图 7 运算求解能力（基础）分数分布图图 8 运算求解能力（基础）难度曲线图表11 运算求解能力(基础)分组分析表分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值021000000000210.0412.051700000000070.0112.142300000000030.0113.003300000000030.0121.3399000000000990.
35、2019.54565000000000650.1322.03663000000000630.1326.48726000000000260.0531.7782030000000002030.4226.141160000000001160.2430.52101260000000001260.2632.531192000000000920.1937.33122090000000002090.4336.65132360000000002360.4939.16141751000000001760.3642.02151733000000001760.3646.361622111000000002320.4
36、847.081728316000000002990.6251.071822430200000002560.5354.871923439100000002740.5757.072024154600000003010.6258.93212801111200000004030.8362.96222771832263000004911.0267.68232261592431000004130.8568.16242192103962000004760.9870.6425238393146449311008351.7377.20261943331514622475207641.5879.372715440
37、11961134226139109551.9884.042894305155883319103207091.4784.77291345674443101699874389018433.8191.2730894684652691727844327316273.3791.8031514466536055214163462651836335497.34102.893222333514465403291198119873024625.09101.34339128195155140109867249189611.99102.8034173878821002995874822665517276643713
38、.32108.24351328512614813110210079458491.76110.3936822384115952173278331293523389643972256846.70119.22合计483348334833483348334832483248324832483248325100.00 104.02得分率0.510.790.880.920.940.960.970.980.980.99-2、运 算 求 解 能 力（发展）本题组共包含4道试题，题号是：13、17、19_2、20_2表12 运算求解能力（发展）总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数
39、3838.00.023.118.650.370.610.910.50图9 运算求解能力（发展）分数分布图图10 运算求解能力（发展）难度曲线图表 13 运算求解能力(发展)分组分析表分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值09818000000009892.0531.97133513000000003480.7241.38226718200000002870.5946.25326427300000002940.6151.0024827310000002790.5852.82529348600000003470.7254.42621274500000002910.60
40、59.367216921221000003230.6761.0682501002220000003740.7762.991961342810000003590.7467.23101971293991000003750.7868.391119518775265100004891.0173.091212419480286100004330.9077.191353474024781186000016263.3675.74141564642238022600009511.9781.5315883002189236910007441.5484.74161445364062166417400013872.
41、8785.89174538941624911646600012672.6290.511853451568365179872260017313.5892.1519212784633342461063250014853.0795.422092144004283031737680016113.3398.31214126324417335220118261015713.25101.07221123391555504339194729021884.53102.952308231648051842726410510022024.56105.032404221241551253137119725023054
42、.77107.872502318441256162352530070026985.58109.72260873221418524501401142322914.74112.70270262188396548582526283925965.37114.632802331353054607237514385228996.00117.11290216631583495566886199625475.27119.5330002236016333954863916719414.02122.51310018328617434750520813612.82124.1832001218401162794502
43、9912052.49126.20330010134111523852942013572.81127.423400005227317046065113812.86129.73350000163110939397315133.13132.4536001001951208100012702.63134.663700000005173083300.68137.363800000000346466801.41139.37合计483348334833483348334832483248324832483248325100.00 104.02得分率0.170.390.490.560.620.660.710.
44、750.820.91-3、数据处理能力本题组共包含1道试题，题号是：1 8表1 4 数据处理能力总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数1 41 4.00.01 0.483.6 30.3 50.750.6 80.43图1 1 数据处理能力分数分布图图1 2 数据处理能力难度曲线图表15 数据处理能力分组分析表分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值01534011000001590.3329.8618520431200001150.2447.602159277131000002070.4348.6033232351841449843211
45、03010612.2079.668822931689169321780115613.2364.355129211747815323262071176821145199.3581.01650736325418513395743918016683.4580.9279411105862612460308212135732347319.7987.258451541642021791429485411311192.32101.156413615513712412077532789011.8698.84101353384134694584123082521836730356.28103.221120871
46、261471151181096550178541.77104.171214154610061205141915401678147913568511122123.22111.571321588212916414114815411411211232.32111.4714652936279631285167219772484294637391605133.21119.99合计483348334833483348334832483248324832483248325100.00 104.02得分率0.390.530.630.700.770.820.860.890.930.96-4、空间想象能力本题组共
47、包含2道试题，题号是：4、16表16 空间想象能力总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数1717.00.015.292.770.180.900.690.21图13 空间想象能力分数分布图图14 空间想象能力难度曲线图表 17 空间想象能力分组分析表分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值01790000000001790.3721.01118010000000190.0429.2621680000000001680.3527.9932270000000002270.4730.442363000000002390.4935.2959421
48、1000000980.2040.7162014212001002110.4442.06731717410100003400.7044.278272337112020103280.6853.213047435156830004450.9262.511030014557302412101105801.2069.2011394276161946733231413710822.2478.1612435386228163111100583619715433.1983.73134305654343683082491491431144928095.8193.2514310493361288226159114
49、102821821534.4692.3415423877802801707661599478429284606112.54101.95163259741174109710811025990849746506876718.14105.6117200984156619632299258428843208342739612307647.75115.73合计483348334833483348334832483248324832483248325100.00 104.02得分率0.590.850.900.920.930.940.960.960.970.98-5、思维能力本题组共包含8道试题，题号是：5
50、、6、7、8、9、14、19_2、20_2表18 思维能力总分分析表满分值最大值最小值平均值标准差差异系数难度相关系数鉴别指数4545.00.026.3410.950.420.590.920.57图15 思维能力分数分布图图16 思维能力难度曲线图表 19 思维能力分组分析表分值G 1G2G3G4G5G6G7G8G9G10人数比率(%)平均值053511100000005471.1339.061661300000000790.1655.68223500000000280.0658.9337600000000130.0367.2311621367000000013052.7046.5252331