diff --git a/工具/关键字筛选题号.py b/工具/关键字筛选题号.py
index 056b7a1b..8372eef1 100644
--- a/工具/关键字筛选题号.py
+++ b/工具/关键字筛选题号.py
@@ -2,7 +2,7 @@ import os,re,json
 
 """---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---"""
 keywords_dict_table = [
-    {"origin":["杨浦"]}
+    {"origin":["交大"]}
 ]
 """---关键字设置完毕---"""
 # 示例： keywords_dict_table = [
diff --git a/工具/批量收录题目.py b/工具/批量收录题目.py
index 49ddde5d..304b5300 100644
--- a/工具/批量收录题目.py
+++ b/工具/批量收录题目.py
@@ -1,8 +1,8 @@
 #修改起始id,出处,文件名
-starting_id = 40527
+starting_id = 40552
 raworigin = ""
 filename = r"C:\Users\weiye\Documents\wwy sync\临时工作区\自拟题目9.tex"
-editor = "20230403\t王伟叶"
+editor = "20230405\t王伟叶"
 indexed = False
 
 import os,re,json
@@ -85,6 +85,7 @@ for p_and_suffix in problems:
         NewProblem["genre"] = "选择题"
     else:
         NewProblem["genre"] = "解答题"
+        NewProblem["space"] = "12ex"
     print("添加题号"+pid+", "+"来源: " + origin)
     pro_dict[pid] = NewProblem
     id += 1
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 abe18733..67be1fd0 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
@@ -1,7 +1,6 @@
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+040464,040465,040466,040467,040468,040469,040470,040471,040472,040473,040474,040475,040476,040477,040478,040479,040480,040481,040482,040483,040484,040485,040486,040487,040488,040489,040490,040491,040492,040493,040494,040495,040496,040497,040498,040499,040500,040501,040502,040503,040504,040505
 
 未使用题号:
-014103,014104,014106,014108,014110,014113,014114,014115,014116,014119,014121,014123,014124,014125,014126,014127,014128,014129,014130,014131,014132,014135,014137,014138,014139,014140,014141,014142,014143,014144,014145,014146,014147,014148,014149,014150,014151,014152,014154,014155,014156,014158,014159,014160,014161,014162,014163,014173,014184,014185,014186,014187,014188,014189,014195,014196,014197,014198,014200,014201,014202,014209,014210,014211,014212,014213,014214,014215,014216,014218,014219,014220,014222,014223,014224,014225,014228,014229,014230,014232,014233,014234,014235,014236,014237,014238,014239,014240,014241,014242,014243,014244,014247,014248,014250,014251,014252,014253,014254,014256,014257,014258,014261,014264,014267,014268,014271,014272,014274,014275,014276,014277,014278,014279,014280,014281,014282,014284,014287,014289,014291,014292,014293,014294,014295,014296,014297,014298,014299,014300,014301,014302,014303,014304,014305,014306,014307,014308,014309,014310,014311,014312,014313,014314,014315,014316,014317,014318,014319,014320,014321,014322,014323,014324,014325,014326,014327,014328,014329,014332,014333,014334,014335,014336,014337,014338,014340,014341,014342,014343,014344,014345,014347,014350,014351,014353,014355,014356,014357,014358,014361,014362,014363,014365,014368,014370,014371,014372,014374,014375,014376,014378,014379,014384,014385,014387,014389,014390,014391,014395,014396,014397,014398,014399,014400,014401,014402,014403,014404,014405,014406,014407,014408,014409,014411,014413,014414,014416,014417,014418,014420,014421,014422,014424,014425,014428,014429,014430,014431,014433,014434,014442,014444,014445,014446,014447,014449,014450,014453,014456,014457,014458,014460,014461,014462,014463,014465,014466,014467,014468,014469,014470,014471,014472,014473,014474,014475,014476,014477,014480,014481,014482,014484,014486,014487,014488,014489,014490,014492,014493,014494,014495,014496,014497,014498,014499,014500,014501,014502,014504,014507,014508,014510,014537,014539,014541,014542,014543,014544,014545,014547,014548,014549,014551,014552,014554,014555,014556,014557,014558,014559,014561,014562,014563,014564,014565,014566,014567,014568,014569,014571,014572,014573,014576,014590,014609,014610,014611,014612,014613,014614,014615,014616,014617,014618,014619,014620,014621,014622,014623,014624,014625,014626,014627,014628,014630,014639,014647,014648,014649,014650,014651,014652,014653,014654,014655,014656,014657,014658,014659,014660,014661,014662,014663,014664,014665,014666,014667,014668,014669,014670,014671,014672,014673,014674,014675,014676,014677,014678,014679,014680,014681,014682,014683,014684,014685,014686,014687,014688,014689,014690,014691,014692,014693,014694,014695,014696,014697,014698,014699,014700,014701,014702,014703,014704,014705,014706,014707,014708,014709,014710,014711,014712,014713,014714,014715,014716,014717,014718,014719,014720,014721,014722,014723,014724,014725,014726,014727,014728,014729,014730,014731,014732,014733,014734,014735,014736,014737,014738,014739,014740,014741,014742,014764,014765,014766,014767,014768,014769,014770,014771,014772,014773,014774,014775,014776,014777,014778,014779,014780,014781,014782,014783,021441,021442,021443,021444,021445,021446,021447,021448,021449,021450,021451,021452,021453,021454,021455,021456,021457,021458,021459,021460,021461,021462,021463,021464,021465,021466,021467,021468,021469,021470,021471,021472,021473,021474,021475,021476,021477,021478,021479,021480,021481,021482,021483,021484,021485,021486,021487,021488,021489,021490,021491,021492,021493,021494,021495,021496,021497,021498,021499,021500,021501,021502,021503,021504,021505,021506,021507,021508,021509,021510,021511,021512,021513,021514,021515,021516,021517,021518,021519,021520,021521,021522,021523,021524,021525,021526,021527,021528,021529,021530,021531,021532,021533,021534,021535,021536,021537,021538,021539,021540,021541,021542,021543,021544,021545,021546,021547,021548,021549,021550,021551,021552,021553,021554,021555,021556,021557,021558,021559,021560,021561,021562,021563,021564,021565,021566,021567,021568,021569,021570,021571,021572,021573,021574,021575,021576,021577,021578,021579,021580,021581,021582,021583,021584,021585,021586,021587,021588,021589,021590,021591,021592,021593,021594,021595,021596,021597,021598,021599,021600,021601,021602,021603,021604,021605,021606,021607,021608,021609,021610,021611,021612,021613,021614,021615,021616,021617,021618,021619,021620,021621,021622,021623,021624,021625,021626,021627,021628,021629,021630,021631,021632,021633,021634,021635,021636,021637,021638,021639,021640,021641,021642,021643,021644,021645,021646,021647,021648,021649,021650,021651,021652,021653,021654,021655,021656,021657,021658,021659,021660,021661,021662,021663,021664,021665,021666,021667,021668,021669,021670,021671,021672,021673,021674,021675,021676,021677,021678,021679,021680,021681,021682,021683,021684,021685,021686,021687,021688,021689,021690,021691,021692,021693,021694,021695,021696,021697,021698,021699,021700,021701,021702,021703,021704,021705,021706,021707,021708,021709,021710,021711,021712,021713,021714,021715,021716,021717,021718,021719,021720,021721,021722,021723,021724,021725,021726,021727,021728,021729,021730,021731,021732,021733,021734,021735,021736,021737,021738,021739,021740,021741,021742,021743,021744,021745,021746,021747,021748,021749,021750,021751,021752,021753,021754,021755,021756,021757,021758,021759,021760,021761,021762,021763,021764,021765,021766,021767,021768,021769,021770,021771,021772,021773,021774,021775,021776,021777,021778,021779,021780,021781,021782,021783,021784,021785,021786,021787,021788,021789,021790,021791,021792,021793,021794,021795,021796,021797,021798,021799,021800,021801,021802,021803,021804,021805,021806,021807,021808,021809,021810,021811,021812,021813,021814,021815,021816,021817,021818,021819,021820,021821,021822,021823,021824,021825,021826,021827,021828,021829,021830,021831,021832,021833,021834,021835,021836,021837,021838,021839,021840,021841,021842,021843,021844,021845,021846,021847,021848,021849,021850,021851,021852,021853,021854,021855,021856,021857,021858,021859,021860,021861,021862,021863,021864,021865,021866,021867,021868,021869,021870,021871,021872,021873,021874,021875,021876,021877,021878,021879,021880,021881,021882,021883,021884,021885,021886,021887,021888,021889,021890,021891,021892,021893,021894,021895,021896,021897,021898,021899,021900,021901,021902,021903,021904,021905,021906,021907,021908,021909,021910,021911,021912,021913,021914,021915,021916,021917,021918,021919,021920,021921,021922,021923,021924,021925,021926,021927,021928,021929,021930,021931,021932,021933,021934,021935,021936,021937,021938,021939,021940,021941,021942,021943,021944,021945,021946,021947,021948,021949,021950,021951,021952,021953,021954,021955,021956,021957,021958,021959,021960,021961,021962,021963,021964,021965,021966,021967,021968,021969,021970,021971,021972,021973,021974,021975,021976,021977,021978,021979,021980,021981,021982,021983,021984,021985,021986,021987,021988,021989,021990,021991,021992,021993,021994,021995,021996,021997,021998,021999,022000,022001,022002,022003,022004,022005,022006,022007,022008,022009,022010,022011,022012,022013,022014,022015,022016,022017,022018,022019,022020,022021,022022,022023,022024,022025,022026,022027,022028,022029,022030,022031,022032,022033,022034,022035,022036,022037,022038,022039,022040,022041,022042,022043,022044,022045,022046,022047,022048,022049,022050,022051,022052,022053,022054,022055,022056,022057,022058,022059,022060,022061,022062,022063,022064,022065,022066,022067,022068,022069,022070,022071,022072,022073,022074,022075,022076,022077,022078,022079,022080,022081,022082,022083,022084,022085,022086,022087,022088,022089,022090,022091,022092,022093,022094,022095,022096,022097,022098,022099,022100,022101,022102,022103,022104,022105,031244,031245,031246,031247,031248,031249,031250,031251,031252,031253,031254,031255,031256,031257,031258,031259,031260,031261,031262,031263,031264,031265,031267,031268,031269,031270,031271,031272,031273,031274,031275,031276,031277,031278,031279,031280,031281,031283,031284,031285,031286,031287,031288,031289,031290,031291,031292,031293,031294,031295,031296,031297,031298,031299,031300,031301,031302,031303,031304,031305,031306,031307,031308,031361,031362,031363,031364,031365,031366,031367,031368,031369,031370,031371,031372,031373,031374,031375,031376,031377,031378,031379,031380,031381,040001,040002,040003,040004,040005,040006,040007,040008,040009,040010,040011,040012,040013,040014,040015,040016,040017,040018,040019,040020,040021,040022,040023,040024,040025,040026,040027,040028,040029,040030,040031,040032,040033,040034,040035,040036,040037,040038,040039,040040,040041,040042,040043,040044,040045,040046,040047,040048,040049,040050,040051,040052,040053,040054,040055,040056,040057,040058,040059,040060,040061,040062,040063,040064,040065,040066,040067,040068,040069,040070,040071,040072,040073,040074,040075,040076,040077,040078,040079,040080,040081,040082,040083,040084,040085,040086,040087,040088,040089,040090,040091,040092,040093,040094,040095,040096,040097,040098,040099,040100,040101,040102,040103,040104,040105,040106,040107,040108,040109,040110,040111,040112,040113,040114,040115,040116,040117,040118,040119,040120,040121,040122,040123,040124,040125,040126,040127,040128,040129,040130,040131,040132,040133,040134,040135,040136,040137,040138,040139,040140,040141,040142,040143,040144,040145,040146,040147,040148,040149,040150,040151,040152,040153,040154,040155,040156,040157,040158,040159,040160,040161,040162,040163,040164,040165,040166,040167,040168,040169,040170,040171,040172,040173,040174,040175,040176,040177,040178,040179,040180,040181,040182,040183,040184,040185,040186,040187,040188,040189,040190,040191,040192,040193,040194,040195,040196,040197,040198,040199,040200,040201,040203,040204,040206,040207,040208,040209,040210,040211,040212,040213,040214,040215,040216,040217,040218,040219,040220,040221,040223,040224,040225,040226,040227,040228,040229,040230,040231,040232,040233,040234,040235,040236,040237,040238,040239,040240,040241,040242,040243,040244,040245,040246,040247,040248,040249,040250,040251,040252,040253,040254,040255,040256,040257,040258,040259,040260,040261,040262,040263,040264,040265,040266,040267,040268,040269,040270,040271,040272,040273,040274,040275,040276,040277,040278,040279,040280,040281,040282,040283,040284,040285,040286,040287,040288,040289,040290,040291,040292,040293,040294,040295,040296,040297,040298,040299,040300,040301,040302,040303,040304,040305,040306,040307,040308,040309,040310,040311,040312,040313,040314,040315,040316,040317,040318,040319,040320,040321,040322,040323,040324,040325,040326,040327,040328,040329,040330,040331,040332,040333,040334,040335,040336,040337,040338,040339,040340,040341,040342,040343,040344,040345,040346,040347,040348,040349,040350,040351,040352,040353,040354,040355,040356,040357,040358,040359,040360,040361,040362,040363,040364,040365,040366,040367,040368,040369,040370,040371,040372,040373,040374,040375,040376,040377,040378,040379,040380,040381,040382,040383,040384,040385,040386,040387,040388,040389,040390,040391,040392,040393,040394,040395,040396,040397,040398,040399,040400,040401,040402,040403,040404,040405,040406,040407,040408,040409,040410,040411,040412,040413,040414,040415,040416,040417,040418,040419,040420,040421,040422,040423,040424,040425,040426,040427,040428,040429,040430,040431,040432,040433,040434,040435,040436,040437,040438,040439,040440,040441,040442,040443,040444,040445,040446,040447,040448,040449,040450,040451,040452,040453,040454,040455,040456,040457,040458,040459,040460,040461,040462,040463,040464,040465,040466,040467,040468,040469,040470,040471,040472,040473,040474,040475,040476,040477,040478,040479,040480,040481,040482,040483,040484,040485,040486,040487,040488,040489,040490,040491,040492,040493,040494,040495,040496,040497,040498,040499,040500,040501,040502,040503,040504,040505,040506,040507,040508,040509,040510,040511,040512,040513,040514,040515,040516,040517,040518,040519,040520,040521,040522,040523,040524,040525,040526
+040464,040465,040466,040467,040468,040469,040470,040471,040472,040473,040474,040475,040476,040477,040478,040479,040480,040481,040482,040483,040484,040485,040486,040487,040488,040489,040490,040491,040492,040493,040494,040495,040496,040497,040498,040499,040500,040501,040502,040503,040504,040505
 
 已使用题号:
-014459,014479,014485,014491,014506,014509,014511,014512,014513,014514,014515,014516,014517,014518,014519,014520,014521,014522,014523,014524,014525,014526,014527,014528,014529,014530,014531,014535,014536,014550,014553,014560,014570,014574,014575,014577,014578,014579,014580,014581,014582,014583,014584,014585,014586,014587,014588,014589,014591,014592,014593,014594,014595,014596,014597,014598,014599,014600,014601,014602,014603,014604,014605,014606,014607,014608,014629,014631,014632,014633,014634,014635,014636,014637,014638,014640,014641,014642,014643,014644,014645,014646,014743,014744,014745,014746,014747,014748,014749,014750,014751,014752,014753,014754,014755,014756,014757,014758,014759,014760,014761,014762,014763,031332,031333,031334,031335,031336,031337,031338,031339,031340,031341,031342,031343,031344,031345,031346,031347,031348,031349,031350,031351,031352,031358,031359,040202,040205,040222
\ No newline at end of file
diff --git a/工具/讲义生成.py b/工具/讲义生成.py
index 92ef8109..3e2da45a 100644
--- a/工具/讲义生成.py
+++ b/工具/讲义生成.py
@@ -10,7 +10,7 @@ paper_type = 2 # 随后设置一下后续的讲义标题
 """---设置题块编号---"""
 
 problems = [
-"031332,031333,031334,031335,031336,031337,031338,031339,031340,031341,031342,031343","031344,031345,031346,031347","031348,031349,031350,031351,031352"
+"040485,040486,040487,040488,040489,040490,040491,040492,040493,040494,040495,040496","040497,040498,040499,040500","040501,040502,040503,040504,040505"
 ]
 
 """---设置结束---"""
@@ -19,12 +19,12 @@ problems = [
 if paper_type == 1:
     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)
     template_file = "模板文件/复习讲义模板.txt" #设置模板文件名
-    exec_list = [("标题数字待处理","05"),("标题文字待处理","概率与统计")] #设置讲义标题
+    exec_list = [("标题数字待处理","06"),("标题文字待处理","概率与统计")] #设置讲义标题
     destination_file = "临时文件/"+exec_list[0][1]+"_"+exec_list[1][1] # 设置输出文件名
 elif paper_type == 2:
     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)
     template_file = "模板文件/测验周末卷模板.txt" #设置模板文件名
-    exec_list = [("标题替换","高三下学期测验05")] #设置讲义标题
+    exec_list = [("标题替换","高三下学期周末卷06")] #设置讲义标题
     destination_file = "临时文件/"+exec_list[0][1] # 设置输出文件名
 elif paper_type == 3:
     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)
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index c597c257..39534e72 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -456409,7 +456409,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040410": {
         "id": "040410",
@@ -456428,7 +456428,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040411": {
         "id": "040411",
@@ -456447,7 +456447,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040412": {
         "id": "040412",
@@ -456466,7 +456466,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040413": {
         "id": "040413",
@@ -456485,7 +456485,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040414": {
         "id": "040414",
@@ -456620,7 +456620,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040421": {
         "id": "040421",
@@ -456639,7 +456639,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040422": {
         "id": "040422",
@@ -456962,7 +456962,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040439": {
         "id": "040439",
@@ -456981,7 +456981,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040440": {
         "id": "040440",
@@ -457000,7 +457000,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040441": {
         "id": "040441",
@@ -457019,7 +457019,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040442": {
         "id": "040442",
@@ -457038,7 +457038,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040443": {
         "id": "040443",
@@ -457364,7 +457364,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040460": {
         "id": "040460",
@@ -457383,7 +457383,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040461": {
         "id": "040461",
@@ -457402,7 +457402,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040462": {
         "id": "040462",
@@ -457421,7 +457421,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040463": {
         "id": "040463",
@@ -457440,7 +457440,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040464": {
         "id": "040464",
@@ -457714,7 +457714,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040478": {
         "id": "040478",
@@ -457773,7 +457773,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040481": {
         "id": "040481",
@@ -457792,7 +457792,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040482": {
         "id": "040482",
@@ -457811,7 +457811,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040483": {
         "id": "040483",
@@ -457830,7 +457830,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040484": {
         "id": "040484",
@@ -457849,7 +457849,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040485": {
         "id": "040485",
@@ -458174,7 +458174,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040502": {
         "id": "040502",
@@ -458193,7 +458193,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040503": {
         "id": "040503",
@@ -458212,7 +458212,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040504": {
         "id": "040504",
@@ -458231,7 +458231,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040505": {
         "id": "040505",
@@ -458250,7 +458250,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040506": {
         "id": "040506",
@@ -458573,7 +458573,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040523": {
         "id": "040523",
@@ -458592,7 +458592,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040524": {
         "id": "040524",
@@ -458611,7 +458611,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040525": {
         "id": "040525",
@@ -458630,7 +458630,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040526": {
         "id": "040526",
@@ -458649,7 +458649,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040527": {
         "id": "040527",
@@ -459029,7 +459029,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040547": {
         "id": "040547",
@@ -459048,7 +459048,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040548": {
         "id": "040548",
@@ -459067,7 +459067,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040549": {
         "id": "040549",
@@ -459086,7 +459086,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040550": {
         "id": "040550",
@@ -459105,7 +459105,7 @@
         "same": [],
         "related": [],
         "remark": "",
-        "space": ""
+        "space": "12ex"
     },
     "040551": {
         "id": "040551",
@@ -459124,6 +459124,348 @@
         "same": [],
         "related": [],
         "remark": "",
+        "space": "12ex"
+    },
+    "040552": {
+        "id": "040552",
+        "content": "已知$a \\in \\mathbf{R}$, 集合$A=\\{x || x | \\leq 2,\\  x \\in \\mathbf{R}\\}$, $B=\\{x | x \\geq a\\}$, 若$A \\subseteq B$, 则$a$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040553": {
+        "id": "040553",
+        "content": "若函数$y=f(x)$是定义在$\\mathbf{R}$上的偶函数, 在$(-\\infty, 0]$上是严格减函数, 且$f(2)=0$, 则使得$f(x)<0$的$x$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040554": {
+        "id": "040554",
+        "content": "设$m \\in \\mathbf{R}$, 若关于$x$的方程$x^3-x^2-x=m$有$3$个不同的实根, 则$m$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040555": {
+        "id": "040555",
+        "content": "己知$k \\in \\mathbf{R}$, 直线$l_1: y=k x+k+2$与直线$l_2: y=-2 x+4$的交点在第一象限, 则$k$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040556": {
+        "id": "040556",
+        "content": "已知实数$x$、$y$满足$y=\\sqrt{9-x^2}$, 请分别解决以下问题:\\\\\n(1) $\\dfrac{y}{x-5}$的取值范围是\\blank{50};\\\\\n(2) $(x-5)^2+(y-4)^2$的最小值是\\blank{50};\\\\\n(3) $x+y+5$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040557": {
+        "id": "040557",
+        "content": "已知$P$点是$\\triangle ABC$所在平面内一点, 若$\\overrightarrow{AB} \\perp \\overrightarrow{AC}$, $|\\overrightarrow{AB}| \\cdot|\\overrightarrow{AC}|=1$, 且$\\overrightarrow{AP}=\\dfrac{1}{|\\overrightarrow{AB}|} \\overrightarrow{AB}+\\dfrac{9}{|\\overrightarrow{AC}|} \\overrightarrow{AC}$, 求$\\overrightarrow{PB} \\cdot \\overrightarrow{PC}$的最大值.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "12ex"
+    },
+    "040558": {
+        "id": "040558",
+        "content": "设$k \\in \\mathbf{R}$, 已知$f(x)=\\begin{cases}-x,&  x \\leq 1, \\\\ \\ln 2(x-1),& x>1,\\end{cases}$若不等式$f(x) \\leq|x-k|$对任意的$x \\in \\mathbf{R}$成立, 则$k$的取值范围为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040559": {
+        "id": "040559",
+        "content": "已知向量$\\overrightarrow{AC}, \\overrightarrow{AD}$和$\\overrightarrow{AB}$在单位正方形拼成的矩形中的位置如图所示, 若$\\overrightarrow{AD}=\\lambda \\overrightarrow{AB}+\\mu \\overrightarrow{AC}$, 其中$\\lambda$、$\\mu \\in \\mathbf{R}$, 则$\\lambda \\mu=$\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale= 0.6]\n\\foreach \\i in {0,1,2,3,4}\n{\\draw [dashed] (\\i,-1) -- (\\i,5) (-1,\\i) -- (5,\\i);};\n\\draw [->] (1,2) node [above left] {$A$} -- (2,2) node [above right] {$D$};\n\\draw [->] (1,2) -- (3,0) node [above right] {$C$};\n\\draw [->] (1,2) -- (2,4) node [below right] {$B$};\n\\end{tikzpicture}\n\\end{center}",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040560": {
+        "id": "040560",
+        "content": "设$a \\in \\mathbf{R}$, 若不等式$|x-2 a| \\geq \\dfrac{1}{2} x+a-1$对任意的$x \\in \\mathbf{R}$成立, 则$a$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040561": {
+        "id": "040561",
+        "content": "如图, 在等腰直角$\\triangle ABC$中, $AB=AC=2$, 点$P$是边$AB$上异于$A$、$B$的一点, 光线从点$P$出发, 经$BC$、$CA$反射后又回到点$P$. 若光线$QR$经过$\\triangle ABC$的内心, 则$AP=$\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [below] {$A$} coordinate (A);\n\\draw (2,0) node [below] {$B$} coordinate (B);\n\\draw (0,2) node [left] {$C$} coordinate (C);\n\\draw ({2*sqrt(2)-2},0) node [below] {$P$} coordinate (P);\n\\draw ({4-2*sqrt(2)},{2*sqrt(2)-2}) node [above right] {$Q$} coordinate (Q);\n\\draw (0,{6-4*sqrt(2)}) node [left] {$R$} coordinate (R);\n\\draw (A)--(B)--(C)--cycle(P)--(Q)--(R)--cycle;\n\\end{tikzpicture}\n\\end{center}",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040562": {
+        "id": "040562",
+        "content": "若$y=f(x)$是$\\mathbf{R}$上的偶函数, 在区间$[0,+\\infty)$上是严格减函数, 且$f(a)=0$($a>0$), 则不等式$x \\cdot f(x)<0$的解集是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040563": {
+        "id": "040563",
+        "content": "设$m \\in \\mathbf{R}$, 若方程$x^2-4|x|+5=m$有$4$个不相等的实根, 则$m$的取值范围是\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040564": {
+        "id": "040564",
+        "content": "函数$y=\\dfrac{-1}{x-1}$的图像与函数$y=2 \\sin \\pi x(-2 \\leq x \\leq 4)$的图像所有交点的横坐标之和为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040565": {
+        "id": "040565",
+        "content": "在$\\triangle ABC$中, $AC=4$, 若$\\overrightarrow{AC}$在$\\overrightarrow{AB}$方向上的数量投影是$-2$, 则$|\\overrightarrow{BC}-\\lambda \\overrightarrow{BA}|$($\\lambda \\in \\mathbf{R}$)的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040566": {
+        "id": "040566",
+        "content": "设$\\{a_n\\}$是等差数列, 其前$n$项和为$S_n$, 若$S_5<S_6$, $S_6=S_7$, $S_7>S_8$, 则下列结论错误的是\\bracket{20}.\n\\twoch{$\\{a_n\\}$的公差小于$0$}{$a_7=0$}{$S_9>S_5$}{$S_6$与$S_7$均为数列$\\{S_n\\}$的最大项}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040567": {
+        "id": "040567",
+        "content": "若复数$z$满足$|z|=1$, 则$|z+2-\\mathrm{i}|$($\\mathrm{i}$为虚数单位)的最大值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040568": {
+        "id": "040568",
+        "content": "若正实数$a$、$b$满足$3 a+2 b=6$, 则$b+\\sqrt{a^2+b^2-2 b+1}$的最小值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": ""
+    },
+    "040569": {
+        "id": "040569",
+        "content": "设$a>0, b$、$c \\in \\mathbf{R}, f(x)=a x^3+b x^2+x$, 若$y=f'(x)$在区间$(-\\infty, 1]$上是严格减函数, 且$b-a^2+2 a+2 \\geq 0$, 则$\\dfrac{b-3}{a-2}$的取值范围是\\bracket{20}.\n\\fourch{$[\\dfrac{3}{2}, 6]$}{$[\\dfrac{1}{2}, \\dfrac{3}{2}]$}{$(\\dfrac{3}{2}, 6]$}{$[\\dfrac{1}{2}, \\dfrac{3}{2})$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2023年空中课堂高三复习课30",
+        "edit": [
+            "20230405\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
         "space": ""
     }
 }
\ No newline at end of file