diff --git a/工具/修改题目数据库.ipynb b/工具/修改题目数据库.ipynb index 3bc3b4d8..4c55e61a 100644 --- a/工具/修改题目数据库.ipynb +++ b/工具/修改题目数据库.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -11,7 +11,7 @@ "0" ] }, - "execution_count": 3, + "execution_count": 1, "metadata": {}, "output_type": "execute_result" } @@ -19,7 +19,7 @@ "source": [ "import os,re,json\n", "\"\"\"这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块\"\"\"\n", - "problems = \"14597,14608\"\n", + "problems = \"30426\"\n", "\n", "def generate_number_set(string,dict):\n", " string = re.sub(r\"[\\n\\s]\",\"\",string)\n", diff --git a/工具/关键字筛选题号.ipynb b/工具/关键字筛选题号.ipynb index 8390d263..df2cbb2b 100644 --- a/工具/关键字筛选题号.ipynb +++ b/工具/关键字筛选题号.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -11,7 +11,7 @@ "0" ] }, - "execution_count": 1, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -21,7 +21,7 @@ "\n", "\"\"\"---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---\"\"\"\n", "keywords_dict_table = [\n", - " {\"origin\":[\"校本作业\"]},\n", + " {\"content\":[r\"a=13\"]}\n", "]\n", "\"\"\"---关键字设置完毕---\"\"\"\n", "# 示例: keywords_dict_table = [\n", @@ -96,7 +96,7 @@ ], "metadata": { "kernelspec": { - "display_name": "pythontest", + "display_name": "mathdept", "language": "python", "name": "python3" }, @@ -110,12 +110,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.15" + "version": "3.8.15" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93" + "hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2" } } }, diff --git a/工具/寻找阶段末尾空闲题号.ipynb b/工具/寻找阶段末尾空闲题号.ipynb index ac346d78..b276758a 100644 --- a/工具/寻找阶段末尾空闲题号.ipynb +++ b/工具/寻找阶段末尾空闲题号.ipynb @@ -10,8 +10,8 @@ "output_type": "stream", "text": [ "首个空闲id: 14764 , 直至 020000\n", - "首个空闲id: 22048 , 直至 030000\n", - "首个空闲id: 31353 , 直至 040000\n", + "首个空闲id: 22106 , 直至 030000\n", + "首个空闲id: 31357 , 直至 040000\n", "首个空闲id: 40246 , 直至 999999\n" ] } diff --git a/工具/已用题号剔除.ipynb b/工具/已用题号剔除.ipynb index b16ef6ba..ae0d4e4e 100644 --- a/工具/已用题号剔除.ipynb +++ b/工具/已用题号剔除.ipynb @@ -2,15 +2,15 @@ "cells": [ { "cell_type": "code", - "execution_count": 6, + "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "首行题目数量: 241\n", - "剩余题目数量: 108\n" + "首行题目数量: 265\n", + "剩余题目数量: 218\n" ] } ], diff --git a/工具/文本文件/题号筛选.txt b/工具/文本文件/题号筛选.txt index 95dea3dc..86c2f39f 100644 --- a/工具/文本文件/题号筛选.txt +++ b/工具/文本文件/题号筛选.txt @@ -1 +1 @@ -020001,020002,020003,020004,020005,020006,020007,020008,020009,020010,020011,020012,020013,020014,020015,020016,020017,020018,020019,020020,020021,020022,020023,020024,020025,020026,020027,020028,020029,020030,020031,020032,020033,020034,020035,020036,020037,020038,020039,020040,020041,020042,020043,020044,020045,020046,020047,020048,020049,020050,020051,020052,020053,020054,020055,020056,020057,020058,020059,020060,020061,020062,020063,020064,020065,020066,020067,020068,020069,020070,020071,020072,020073,020074,020075,020076,020077,020078,020079,020080,020081,020082,020083,020084,020085,020086,020087,020088,020089,020090,020091,020092,020093,020094,020095,020096,020097,020098,020099,020100,020101,020102,020103,020104,020105,020106,020107,020108,020109,020110,020111,020112,020113,020114,020115,020116,020117,020118,020119,020120,020121,020122,020123,020124,020125,020126,020127,020128,020129,020130,020131,020132,020133,020134,020135,020136,020137,020138,020139,020140,020141,020142,020143,020144,020145,020146,020147,020148,020149,020150,020151,020152,020153,020154,020155,020156,020157,020158,020159,020160,020161,020162,020163,020164,020165,020166,020167,020168,020169,020170,020171,020172,020173,020174,020175,020176,020177,020178,020179,020180,020181,020182,020183,020184,020185,020186,020187,020188,020189,020190,020191,020192,020193,020194,020195,020196,020197,020198,020199,020200,020201,020202,020203,020204,020205,020206,020207,020208,020209,020210,020211,020212,020213,020214,020215,020216,020217,020218,020219,020220,020221,020222,020223,020224,020225,020226,020227,020228,020229,020230,020231,020232,020233,020234,020235,020236,020237,020238,020239,020240,020241,020242,020243,020244,020245,020246,020247,020248,020249,020250,020251,020252,020253,020254,020255,020256,020257,020258,020259,020260,020261,020262,020263,020264,020265,020266,020267,020268,020269,020270,020271,020272,020273,020274,020275,020276,020277,020278,020279,020280,020281,020282,020283,020284,020285,020286,020287,020288,020289,020290,020291,020292,020293,020294,020295,020296,020297,020298,020299,020300,020301,020302,020303,020304,020305,020306,020307,020308,020309,020310,020311,020312,020313,020314,020315,020316,020317,020318,020319,020320,020321,020322,020323,020324,020325,020326,020327,020328,020329,020330,020331,020332,020333,020334,020335,020336,020337,020338,020339,020340,020341,020342,020343,020344,020345,020346,020347,020348,020349,020350,020351,020352,020353,020354,020355,020356,020357,020358,020359,020360,020361,020362,020363,020364,020365,020366,020367,020368,020369,020370,020371,020372,020373,020374,020375,020376,020377,020378,020379,020380,020381,020382,020383,020384,020385,020386,020387,020388,020389,020390,020391,020392,020393,020394,020395,020396,020397,020398,020399,020400,020401,020402,020403,020404,020405,020406,020407,020408,020409,020410,020411,020412,020413,020414,020415,020416,020417,020418,020419,020420,020421,020422,020423,020424,020425,020426,020427,020428,020429,020430,020431,020432,020433,020434,020435,020436,020437,020438,020439,020440,020441,020442,020443,020444,020445,020446,020447,020448,020449,020450,020451,020452,020453,020454,020455,020456,020457,020458,020459,020460,020461,020462,020463,020464,020465,020466,020467,020468,020469,020470,020471,020472,020473,020474,020475,020476,020477,020478,020479,020480,020481,020482,020483,020484,020485,020486,020487,020488,020489,020490,020491,020492,020493,020494,020495,020496,020497,020498,020499,020500,020501,020502,020503,020504,020505,020506,020507,020508,020509,020510,020511,020512,020513,020514,020515,020516,020517,020518,020519,020520,020521,020522,020523,020524,020525,020526,020527,020528,020529,020530,020531,020532,020533,020534,020535,020536,020537,020538,020539,020540,020541,020542,020543,020544,020545,020546,020547,020548,020549,020550,020551,020552,020553,020554,020555,020556,020557,020558,020559,020560,020561,020562,020563,020564,020565,020566,020567,020568,020569,020570,020571,020572,020573,020574,020575,020576,020577,020578,020579,020580,020581,020582,020583,020584,020585,020586,020587,020588,020589,020590,020591,020592,020593,020594,020595,020596,020597,020598,020599,020600,020601,020602,020603,020604,020605,020606,020607,020608,020609,020610,020611,020612,020613,020614,020615,020616,020617,020618,020619,020620,020621,020622,020623,020624,020625,020626,020627,020628,020629,020630,020631,020632,020633,020634,020635,020636,020637,020638,020639,020640,020641,020642,020643,020644,020645,020646,020647,020648,020649,020650,020651,020652,020653,020654,020655,020656,020657,020658,020659,020660,020661,020662,020663,020664,020665,020666,020667,020668,020669,020670,020671,020672,020673,020674,020675,020676,020677,020678,020679,020680,020681,020682,020683,020684,020685,020686,020687,020688,020689,020690,020691,020692,020693,020694,020695,020696,020697,020698,020699,020700,020701,020702,020703,020704,020705,020706,020707,020708,020709,020710,020711,020712,020713,020714,020715,020716,020717,020718,020719,020720,020721,020722,020723,020724,020725,020726,020727,020728,020729,020730,020731,020732,020733,020734,020735,020736,020737,020738,020739,020740,020741,020742,020743,020744,020745,020746,020747,020748,020749,020750,020751,020752,020753,020754,020755,020756,020757,020758,020759,020760,020761,020762,020763,020764,020765,020766,020767,020768,020769,020770,020771,020772,020773,020774,020775,020776,020777,020778,020779,020780,020781,020782,020783,020784,020785,020786,020787,020788,020789,020790,020791,020792,020793,020794,020795,020796,020797,020798,020799,020800,020801,020802,020803,020804,020805,020806,020807,020808,020809,020810,020811,020812,020813,020814,020815,020816,020817,020818,020819,020820,020821,020822,020823,020824,020825,020826,020827,020828,020829,020830,020831,020832,020833,020834,020835,020836,020837,020838,020839,020840,020841,020842,020843,020844,020845,020846,020847,020848,020849,020850,020851,020852,020853,020854,020855,020856,020857,020858,020859,020860,020861,020862,020863,020864,020865,020866,020867,020868,020869,020870,020871,020872,020873,020874,020875,020876,020877,020878,020879,020880,020881,020882,020883,020884,020885,020886,020887,020888,020889,020890,020891,020892,020893,020894,020895,020896,020897,020898,020899,020900,020901,020902,020903,020904,020905,020906,020907,020908,020909,020910,020911,020912,020913,020914,020915,020916,020917,020918,020919,020920,020921,020922,020923,020924,020925,020926,020927,020928,020929,020930,020931,020932,020933,020934,020935,020936,020937,020938,020939,020940,020941,020942,020943,020944,020945,020946,020947,020948,020949,020950,020951,020952,020953,020954,020955,020956,020957,020958,020959,020960,020961,020962,020963,020964,020965,020966,020967,020968,020969,020970,020971,020972,020973,020974,020975,020976,020977,020978,020979,020980,020981,020982,020983,020984,020985,020986,020987,020988,020989,020990,020991,020992,020993,020994,020995,020996,020997,020998,020999,021000,021001,021002,021003,021004,021005,021006,021007,021008,021009,021010,021011,021012,021013,021014,021015,021016,021017,021018,021019,021020,021021,021022,021023,021024,021025,021026,021027,021028,021029,021030,021031,021032,021033,021034,021035,021036,021037,021038,021039,021040,021041,021042,021043,021044,021045,021046,021047,021048,021049,021050,021051,021052,021053,021054,021055,021056,021057,021058,021059,021060,021061,021062,021063,021064,021065,021066,021067,021068,021069,021070,021071,021072,021073,021074,021075,021076,021077,021078,021079,021080,021081,021082,021083,021084,021085,021086,021087,021088,021089,021090,021091,021092,021093,021094,021095,021096,021097,021098,021099,021100,021101,021102,021103,021104,021105,021106,021107,021108,021109,021110,021111,021112,021113,021114,021115,021116,021117,021118,021119,021120,021121,021122,021123,021124,021125,021126,021127,021128,021129,021130,021131,021132,021133,021134,021135,021136,021137,021138,021139,021140,021141,021142,021143,021144,021145,021146,021147,021148,021149,021150,021151,021152,021153,021154,021155,021156,021157,021158,021159,021160,021161,021162,021163,021164,021165,021166,021167,021168,021169,021170,021171,021172,021173,021174,021175,021176,021177,021178,021179,021180,021181,021182,021183,021184,021185,021186,021187,021188,021189,021190,021191,021192,021193,021194,021195,021196,021197,021198,021199,021200,021201,021202,021203,021204,021205,021206,021207,021208,021209,021210,021211,021212,021213,021214,021215,021216,021217,021218,021219,021220,021221,021222,021223,021224,021225,021226,021227,021228,021229,021230,021231,021232,021233,021234,021235,021236,021237,021238,021239,021240,021241,021242,021243,021244,021245,021246,021247,021248,021249,021250,021251,021252,021253,021254,021255,021256,021257,021258,021259,021260,021261,021262,021263,021264,021265,021266,021267,021268,021269,021270,021271,021272,021273,021274,021275,021276,021277,021278,021279,021280,021281,021282,021283,021284,021285,021286,021287,021288,021289,021290,021291,021292,021293,021294,021295,021296,021297,021298,021299,021300,021301,021302,021303,021304,021305,021306,021307,021308,021309,021310,021311,021312,021313,021314,021315,021316,021317,021318,021319,021320,021321,021322,021323,021324,021325,021326,021327,021328,021329,021330,021331,021332,021333,021334,021335,021336,021337,021338,021339,021340,021341,021342,021343,021344,021345,021346,021347,021348,021349,021350,021351,021352,021353,021354,021355,021356,021357,021358,021359,021360,021361,021362,021363,021364,021365,021366,021367,021368,021369,021370,021371,021372,021373,021374,021375,021376,021377,021378,021379,021380,021381,021382,021383,021384,021385,021386,021387,021388,021389,021390,021391,021392,021393,021394,021395,021396,021397,021398,021399,021400,021401,021402,021403,021404,021405,021406,021407,021408,021409,021410,021411,021412,021413,021414,021415,021416,021417,021418,021419,021420,021421,021422,021423,021424,021425,021426,021427,021428,021429,021430,021431,021432,021433,021434,021435,021436,021437,021438,021439,021440,021441,021442,021443,021444,021445,021446,021447,021448,021449,021450,021451,021452,021453,021454,021455,021456,021457,021458,021459,021460,021461,021462,021463,021464,021465,021466,021467,021468,021469,021470,021471,021472,021473,021474,021475,021476,021477,021478,021479,021480,021481,021482,021483,021484,021485,021486,021487,021488,021489,021490,021491,021492,021493,021494,021495,021496,021497,021498,021499,021500,021501,021502,021503,021504,021505,021506,021507,021508,021509,021510,021511,021512,021513,021514,021515,021516,021517,021518,021519,021520,021521,021522,021523,021524,021525,021526,021527,021528,021529,021530,021531,021532,021533,021534,021535,021536,021537,021538,021539,021540,021541,021542,021543,021544,021545,021546,021547,021548,021549,021550,021551,021552,021553,021554,021555,021556,021557,021558,021559,021560,021561,021562,021563,021564,021565,021566,021567,021568,021569,021570,021571,021572,021573,021574,021575,021576,021577,021578,021579,021580,021581,021582,021583,021584,021585,021586,021587,021588,021589,021590,021591,021592,021593,021594,021595,021596,021597,021598,021599,021600,021601,021602,021603,021604,021605,021606,021607,021608,021609,021610,021611,021612,021613,021614,021615,021616,021617,021618,021619,021620,021621,021622,021623,021624,021625,021626,021627,021628,021629,021630,021631,021632,021633,021634,021635,021636,021637,021638,021639,021640,021641,021642,021643,021644,021645,021646,021647,021648,021649,021650,021651,021652,021653,021654,021655,021656,021657,021658,021659,021660,021661,021662,021663,021664,021665,021666,021667,021668,021669,021670,021671,021672,021673,021674,021675,021676,021677,021678,021679,021680,021681,021682,021683,021684,021685,021686,021687,021688,021689,021690,021691,021692,021693,021694,021695,021696,021697,021698,021699,021700,021701,021702,021703,021704,021705,021706,021707,021708,021709,021710,021711,021712,021713,021714,021715,021716,021717,021718,021719,021720,021721,021722,021723,021724,021725,021726,021727,021728,021729,021730,021731,021732,021733,021734,021735,021736,021737,021738,021739,021740,021741,021742,021743,021744,021745,021746,021747,021748,021749,021750,021751,021752,021753,021754,021755,021756,021757,021758,021759,021760,021761,021762,021763,021764,021765,021766,021767,021768,021769,021770,021771,021772,021773,021774,021775,021776,021777,021778,021779,021780,021781,021782,021783,021784,021785,021786,021787,021788,021789,021790,021791,021792,021793,021794,021795,021796,021797,021798,021799,021800,021801,021802,021803,021804,021805,021806,021807,021808,021809,021810,021811,021812,021813,021814,021815,021816,021817,021818,021819,021820,021821,021822,021823,021824,021825,021826,021827,021828,021829,021830,021831,021832,021833,021834,021835,021836,021837,021838,021839,021840,021841,021842,021843,021844,021845,021846,021847,021848,021849,021850,021851,021852,021853,021854,021855,021856,021857,021858,021859,021860,021861,021862,021863,021864,021865,021866,021867,021868,021869,021870,021871,021872,021873,021874,021875,021876,021877,021878,021879,021880,021881,021882,021883,021884,021885,021886,021887,021888,021889,021890,021891,021892,021893,021894,021895,021896,021897,021898,021899,021900,021901,021902,021903,021904,021905,021906,021907,021908,021909,021910,021911,021912,021913,021914,021915,021916,021917,021918,021919,021920,021921,021922,021923,021924,021925,021926,021927,021928,021929,021930,021931,021932,021933,021934,021935,021936,021937,021938,021939,021940,021941,021942,021943,021944,021945,021946,021947,021948,021949,021950,021951,021952,021953,021954,021955,021956,021957,021958,021959,021960,021961,021962,021963,021964,021965,021966,021967,021968,021969,021970,021971,021972,021973,021974,021975,021976,021977,021978,021979,021980,021981,021982,021983,021984,021985,021986,021987,021988,021989,021990,021991,021992,021993,021994,021995,021996,021997,021998,021999,022000,022001,022002,022003,022004,022005,022006,022007,022008,022009,022010,022011,022012,022013,022014,022015,022016,022017,022018,022019,022020,022021,022022,022023,022024,022025,022026,022027,022028,022029,022030,022031,022032,022033,022034,022035,022036,022037,022038,022039,022040,022041,022042,022043,022044,022045,022046,022047,030001,030029,030031 \ No newline at end of file +000116,008197,008210,010266 \ No newline at end of file diff --git a/工具/添加关联题目.ipynb b/工具/添加关联题目.ipynb index f5f1414e..f9a32290 100644 --- a/工具/添加关联题目.ipynb +++ b/工具/添加关联题目.ipynb @@ -4,21 +4,13 @@ "cell_type": "code", "execution_count": 1, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ID 031310 已被使用.\n" - ] - } - ], + "outputs": [], "source": [ "import os,re,json,time\n", "\n", "\"\"\"---设置原题目id与新题目id列表, 新id的数目不能小于旧id的数目---\"\"\"\n", - "old_ids = \"3625\"\n", - "new_ids = \"31310\"\n", + "old_ids = \"21416,21433,21434,30409\"\n", + "new_ids = \"31353:31356\"\n", "\"\"\"---设置完毕---\"\"\"\n", "\"\"\"---完成编辑后记得运行第二个单元格---\"\"\"\n", "\n", diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index 18227f42..507f8719 100644 --- a/工具/讲义生成.ipynb +++ b/工具/讲义生成.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -11,9 +11,11 @@ "text": [ "正在处理题块 1 .\n", "题块 1 处理完毕.\n", - "开始编译教师版本pdf文件: 临时文件/第三讲_教师_20230316.tex\n", + "正在处理题块 2 .\n", + "题块 2 处理完毕.\n", + "开始编译教师版本pdf文件: 临时文件/16_导数及其应用_教师_20230321.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/第三讲_学生_20230316.tex\n", + "开始编译学生版本pdf文件: 临时文件/16_导数及其应用_学生_20230321.tex\n", "0\n" ] } @@ -26,12 +28,12 @@ "\"\"\"2: 测验卷与周末卷(填空题, 选择题, 解答题)\"\"\"\n", "\"\"\"3: 日常选题讲义(一个section)\"\"\"\n", "\n", - "paper_type = 3 # 随后设置一下后续的讲义标题\n", + "paper_type = 1 # 随后设置一下后续的讲义标题\n", "\n", "\"\"\"---设置题块编号---\"\"\"\n", "\n", "problems = [\n", - "\"013348,003839,003779,013322,003902,003935,013445,003943,013472,013504,013659,013431,003785,013522,013343,013646,013301,013466\"\n", + "\"13297,13633,21376,21396,30400,40202,40205,31353,21428,21429,31354,30416,30424\",\"12612,12764,13334,13508,40222,21365,21395,21418,21431,31355,31356,30420,30426\"\n", "]\n", "\n", "\"\"\"---设置结束---\"\"\"\n", @@ -40,7 +42,7 @@ "if paper_type == 1:\n", " enumi_mode = 0 #设置模式(1为整卷统一编号, 0为每一部分从1开始编号)\n", " template_file = \"模板文件/复习讲义模板.txt\" #设置模板文件名\n", - " exec_list = [(\"标题数字待处理\",\"15\"),(\"标题文字待处理\",\"数列综合\")] #设置讲义标题\n", + " exec_list = [(\"标题数字待处理\",\"16\"),(\"标题文字待处理\",\"导数及其应用\")] #设置讲义标题\n", " destination_file = \"临时文件/\"+exec_list[0][1]+\"_\"+exec_list[1][1] # 设置输出文件名\n", "elif paper_type == 2:\n", " enumi_mode = 1 #设置模式(1为整卷统一编号, 0为每一部分从1开始编号)\n", diff --git a/工具/题号选题pdf生成.ipynb b/工具/题号选题pdf生成.ipynb index 1ac76ac4..60d47b7f 100644 --- a/工具/题号选题pdf生成.ipynb +++ b/工具/题号选题pdf生成.ipynb @@ -9,9 +9,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "开始编译教师版本pdf文件: 临时文件/题库_教师用_20230318.tex\n", + "开始编译教师版本pdf文件: 临时文件/三角_教师用_20230321.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/题库_学生用_20230318.tex\n", + "开始编译学生版本pdf文件: 临时文件/三角_学生用_20230321.tex\n", "0\n" ] } @@ -26,13 +26,13 @@ "\"\"\"---设置题目列表---\"\"\"\n", "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n", "problems = r\"\"\"\n", - "\n", + "a\n", "\"\"\"\n", "\"\"\"---设置题目列表结束---\"\"\"\n", "\n", "\"\"\"---设置文件名---\"\"\"\n", "#目录和文件的分隔务必用/\n", - "filename = \"临时文件/题库\"\n", + "filename = \"临时文件/三角\"\n", "\"\"\"---设置文件名结束---\"\"\"\n", "\n", "\"\"\"---设置是否需要解答题的空格---\"\"\"\n", @@ -191,7 +191,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.15" + "version": "3.8.15" }, "orig_nbformat": 4, "vscode": { diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index efb6d7ed..9e9eb745 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -395650,7 +395650,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "031353" + ], "remark": "", "space": "12ex" }, @@ -396024,7 +396026,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "031354" + ], "remark": "", "space": "12ex" }, @@ -396046,7 +396050,9 @@ "20230101\t王伟叶" ], "same": [], - "related": [], + "related": [ + "031355" + ], "remark": "", "space": "12ex" }, @@ -421272,7 +421278,9 @@ "20221029\t王伟叶" ], "same": [], - "related": [], + "related": [ + "031356" + ], "remark": "", "space": "12ex" }, @@ -421738,7 +421746,7 @@ }, "030426": { "id": "030426", - "content": "已知函数$f(x)=\\ln x-kx+1$.\n(1) 若$f(x)\\le 0$恒成立, 求实数$k$的取值范围;\\\\\n(2) 证明: $(1+\\dfrac 13)(1+\\dfrac 1{3^2})(1+\\dfrac 1{3^3})\\cdots(1+\\dfrac 1{3^n})<\\sqrt{\\mathrm{e}}$($n\\in \\mathbf{N}$, $n>0$).", + "content": "已知函数$f(x)=\\ln x-kx+1$.\\\\\n(1) 若$f(x)\\le 0$恒成立, 求实数$k$的取值范围;\\\\\n(2) 证明: $(1+\\dfrac 13)(1+\\dfrac 1{3^2})(1+\\dfrac 1{3^3})\\cdots(1+\\dfrac 1{3^n})<\\sqrt{\\mathrm{e}}$($n\\in \\mathbf{N}$, $n>0$).", "objs": [ "K0234003X" ], @@ -443369,6 +443377,108 @@ "remark": "", "space": "12ex" }, + "031353": { + "id": "031353", + "content": "设$a$是实数. 已知函数$f(x)=2 x^3+a x-1$.\\\\\n(1) 若函数$y=f(x)$在$\\mathbf{R}$上为严格增函数, 则$a$的取值范围为\\blank{50};\\\\\n(2) 若函数$y=f(x)$在$(-1,1)$上为严格减函数, 则$a$的取值范围为\\blank{50};\\\\\n(3) 若函数$y=f(x)$的单调减区间为$[-1,1]$, 则$a$的值为\\blank{50};\\\\\n(4) 若函数$y=f(x)$在区间$(-1,1)$上不是单调函数, 则$a$的取值范围为\\blank{50}.", + "objs": [], + "tags": [ + "第二单元", + "导数" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届高二校本作业选择性必修第五章-20230321修改", + "edit": [ + "20230101\t王伟叶", + "20230321\t王伟叶" + ], + "same": [], + "related": [ + "021416" + ], + "remark": "", + "space": "" + }, + "031354": { + "id": "031354", + "content": "设$a$是实数. 已知函数$f(x)=a x-\\ln x$, 当$x \\in(0, \\mathrm{e}]$时, $y=f(x)$的最小值为$3$, 则$a$的值为\\blank{50}.", + "objs": [], + "tags": [ + "第二单元", + "导数" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届高二校本作业选择性必修第五章-20230321修改", + "edit": [ + "20230101\t王伟叶", + "20230321\t王伟叶" + ], + "same": [], + "related": [ + "021433" + ], + "remark": "", + "space": "" + }, + "031355": { + "id": "031355", + "content": "设$a, b$是实数. 若函数$f(x)=a x^3-6 a x^2+b$, $x \\in[-1,2]$的最大值是$3$, 最小值是$-29$, 则$a$的值为\\blank{50}、$b$的值为\\blank{50}.", + "objs": [], + "tags": [ + "第二单元", + "导数" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2024届高二校本作业选择性必修第五章-20230321修改", + "edit": [ + "20230101\t王伟叶", + "20230321\t王伟叶" + ], + "same": [], + "related": [ + "021434" + ], + "remark": "", + "space": "" + }, + "031356": { + "id": "031356", + "content": "已知函数$f(x)=x^3-3ax^2+9x+5$($a<0$), 若曲线$y=f(x)$的的切线斜率最小时与直线$3x+y-2=0$平行. 则$a$的值为\\blank{50}, 函数$y=f(x)$的单调减区间为\\blank{50}.", + "objs": [ + "K0232002X" + ], + "tags": [ + "第二单元", + "导数" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "高中数学教与学例题与习题-20230321修改", + "edit": [ + "20221029\t王伟叶", + "20230321\t王伟叶" + ], + "same": [], + "related": [ + "030409" + ], + "remark": "", + "space": "" + }, "040001": { "id": "040001", "content": "参数方程$\\begin{cases}x=3 t^2+4, \\\\ y=t^2-2\\end{cases}$($0 \\leq t \\leq 3$)所表示的曲线是\\bracket{20}.\n\\fourch{一支双曲线}{线段}{圆弧}{射线}",