20230330 night
This commit is contained in:
parent
f6f18947cf
commit
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@ -1,7 +1,7 @@
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#修改起始id,出处,文件名
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starting_id = 40413
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starting_id = 40414
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raworigin = ""
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filename = r"C:\Users\weiye\Downloads\test.tex"
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filename = r"D:\temp\test.tex"
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editor = "20230330\t王伟叶"
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indexed = False
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@ -9,9 +9,9 @@
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"开始编译教师版本pdf文件: 临时文件/高三二模前易错题_教师用_20230330.tex\n",
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"开始编译教师版本pdf文件: 临时文件/2022学年下学期高一高二材料_教师用_20230330.tex\n",
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"0\n",
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"开始编译学生版本pdf文件: 临时文件/高三二模前易错题_学生用_20230330.tex\n",
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"开始编译学生版本pdf文件: 临时文件/2022学年下学期高一高二材料_学生用_20230330.tex\n",
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"0\n"
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]
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}
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@ -28,51 +28,47 @@
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"\n",
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"\"\"\"---设置题目列表---\"\"\"\n",
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"#字典字段为文件名, 之后为内容的题号\n",
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"problems_dict = {\n",
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"\"函数易错题\":\"000060,000087,000092,000342,000361,000655,000734,000778,000795,001211,001218,001221,001227,001253,001262,001270,001277,001287,001308,001309,001312,001325,001328,001329,001339,001340,001343,001352,002831,002838,002851,002856,002859,002888,002894,002895,002898,002905,002918,002959,002966,002968,002975,003013,003648,003747,003828,003884,004009,004067,004089,004116,004153,004157,004217,004224,004247,004256,004265,004320,004359,004370,004424,004435,004440,004444,004457,004463,004464,004466,004486,004509,004636,004702,004721,004763,005016,005086,005123,005569,005592,005650,005678,007939,007950,009488,009517,009522,009922,010196,010197,010796,010797,010807,010813,010933,010938,010943,010953,010955,011060,011066,011067,011079,011081,011087,011131,011143,011144,011148,011152,011153,011218,011999,012023,012063,012064,012074,012092,012104,012114,012116,012172,012178,012179,012181,012192,012235,012242,012277,012536,012543,012549,012612,012717,012733,012738,012764,012796,012830,012839,012842,012843,012848,012851,012855,012856,012859,012872,012891,012892,012893,012901,012902,012903,012912,012913,012915,013721,013747,013750,013800,013840,013841,013842,013844,014170,014180,014190,014191,014192,014203,014262,021428,021429,030041,030043,030046,030047,030048,030050,030051,030060,030103,030291,030321,030327,030337,030343,030356,030369,030374,030377,030381,030382,030388,030391,030398,030402,030406,030410,030411,030416,030420,030424,030426,030438,030439,030446,030504,030691,031215,031219,031220,031221,031236,031241,031321,031331,031355,031356\",\n",
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"\"数列易错题\":\"000320,000321,000322,000403,001741,001769,001781,001783,001788,001809,001810,001839,003210,003219,003239,003253,003281,003283,003298,003309,003310,003312,004128,004352,004472,004476,006717,006760,006793,006911,008456,010773,010777,010787,010942,010964,011059,011090,011109,011388,012067,012073,012094,012112,012116,012181,012202,012220,012239,012540,012547,012715,012729,012735,012920,012933,012965,012969,012972,012979,013007,013921,013925,014092,014532,014538,030072,030281,030426,030473,030478,030496,030499,030502\",\n",
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"\"解析几何易错题\":\"000248,000267,000271,000274,000282,000337,000360,000363,000464,000493,000501,000625,000669,000804,000960,002141,002162,002183,002252,002262,002268,002270,002278,002314,002329,002342,002372,002391,002403,002418,002426,002434,002435,003421,003431,003437,003438,003629,003893,004213,004246,004504,004550,008757,008760,008854,008865,008866,008873,008912,008937,008952,008956,009784,009823,010630,010631,010673,010951,010958,010963,011099,011106,011110,011450,012115,012180,012193,012197,012199,012200,012213,012218,012243,012255,012263,012276,012548,012716,012728,012730,012737,012915,013058,013060,013063,013066,013069,013073,013077,013081,013090,013096,013097,013099,013101,013112,013114,013118,013128,013130,013134,013139,013841,013903,013970,013974,013976,013981,013982,013988,013990,013992,013999,014019,014020,014364,014366,014478,014503,014505,030026,030484,030501,031228,031229,031231,031233,031317,031322,031323,031330\",\n",
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"\"概率统计易错题\":\"000219,000223,000230,000233,000332,000340,000345,000359,000373,000401,000412,000462,000491,000654,000704,002537,002563,002586,002602,002605,002662,002664,003567,003574,003581,003585,003640,003666,004030,004068,004257,004499,004575,004578,004584,004586,004590,004595,004598,004599,004600,004601,004607,004611,004616,004617,004618,007361,007423,007432,007455,007476,007502,007506,007527,007528,007535,007539,007630,007631,007641,007643,007660,007673,009355,009357,009744,009745,010011,010013,010540,010554,010558,010868,010905,010918,010922,010929,010950,011137,011229,011993,012105,012254,012705,013221,013232,013711,014070,014079,014080,014087,014091,014096,030187,030188,030189,030191,030193,030194,030196,030209,030227,030253,030261,030268,030270,030275,030495,030499,030520,030524,030525,030530,030531,030532,030535,030538,030540,030552,030579,030580,030582,030588,030593,031158,031160,031163,031196,031201,031202,031203,031237,031238,031320,031328\"\n",
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"}\n",
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"# problems_dict = {\n",
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"# \"2024届高二下学期周末卷01\":\"40001:40017\",\n",
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"# \"2025届高一下学期周末卷01\":\"40018:40036\",\n",
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"# \"2024届高二下学期周末卷02\":\"40037:40056\",\n",
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"# \"2025届高一下学期周末卷02\":\"40057:40082\",\n",
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"# \"2025届高一下学期周末卷03\":\"40083:40104\",\n",
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"# \"2025届高一下学期周末卷03小测\":\"40105:40112\",\n",
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"# \"2025届高一下学期周末卷04旧版\":\"40113:40130\",\n",
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"# \"2025届高一下学期周末卷04小测\":\"40131:40139\",\n",
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"# \"2024届高二下学期周末卷03\":\"40140:40160\",\n",
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"# \"2024届高二上学期期末考试\":\"31267:31287\",\n",
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"# \"2025届高一上学期期末考试\":\"31288:31308\",\n",
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"# \"2024届高二下学期周末卷04\":\"40161:40180\",\n",
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"# \"2025届高一下学期周末卷04\":\"40181:40201\",\n",
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"# \"2024届高二下学期周末卷05\":\"40202:40225\",\n",
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"# \"2025届高一下学期周末卷05\":\"40226:40245\",\n",
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"# \"2024届空间向量校本作业\":\"22048:22083\",\n",
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"# \"2024届二项式定理校本作业\":\"22084:22105\",\n",
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"# \"2025届高一下学期周末卷05小测\":\"40246:40255\",\n",
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"# \"2025届高一下学期周末卷06\":\"40256:40273\",\n",
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"# \"2025届高一下学期周末卷06小测\":\"40274:40282\",\n",
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"# \"2025届高一下学期期中复习一(集合逻辑不等式)\":\"40283:40298\",\n",
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"# \"2024届高二下学期周末卷06\":\"40299:40316\",\n",
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"# \"2024届高二下学期周末卷07\":\"40317:40335\",\n",
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"# \"2025届高一下学期测验01\":\"40336:40349\",\n",
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"# \"2025届高一下学期测验02\":\"40350:40367\",\n",
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"# \"2025届高一下学期期中复习二(幂指对函数)\":\"40368:40386\",\n",
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"# \"2025届高一下学期周末卷02小测\":\"40387:40395\",\n",
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"# \"2025届高一下学期周末卷07\":\"40396:40413\"\n",
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"\n",
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"# }\n",
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"problems_dict = {\n",
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"\"2024届高二下学期周末卷01\":\"40001:40017\",\n",
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"\"2025届高一下学期周末卷01\":\"40018:40036\",\n",
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"\"2024届高二下学期周末卷02\":\"40037:40056\",\n",
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"\"2025届高一下学期周末卷02\":\"40057:40082\",\n",
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"\"2025届高一下学期周末卷03\":\"40083:40104\",\n",
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"\"2025届高一下学期周末卷03小测\":\"40105:40112\",\n",
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"\"2025届高一下学期周末卷04旧版\":\"40113:40130\",\n",
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"\"2025届高一下学期周末卷04小测\":\"40131:40139\",\n",
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"\"2024届高二下学期周末卷03\":\"40140:40160\",\n",
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"\"2024届高二上学期期末考试\":\"31267:31287\",\n",
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"\"2025届高一上学期期末考试\":\"31288:31308\",\n",
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"\"2024届高二下学期周末卷04\":\"40161:40180\",\n",
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"\"2025届高一下学期周末卷04\":\"40181:40201\",\n",
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"\"2024届高二下学期周末卷05\":\"40202:40225\",\n",
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"\"2025届高一下学期周末卷05\":\"40226:40245\",\n",
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"\"2024届空间向量校本作业\":\"22048:22083\",\n",
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"\"2024届二项式定理校本作业\":\"22084:22105\",\n",
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"\"2025届高一下学期周末卷05小测\":\"40246:40255\",\n",
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"\"2025届高一下学期周末卷06\":\"40256:40273\",\n",
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"\"2025届高一下学期周末卷06小测\":\"40274:40282\",\n",
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"\"2025届高一下学期期中复习一(集合逻辑不等式)\":\"40283:40298\",\n",
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"\"2024届高二下学期周末卷06\":\"40299:40316\",\n",
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"\"2024届高二下学期周末卷07\":\"40317:40335\",\n",
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"\"2025届高一下学期测验01\":\"40336:40349\",\n",
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"\"2025届高一下学期测验02\":\"40350:40367\",\n",
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"\"2025届高一下学期期中复习二(幂指对函数)\":\"40368:40386\",\n",
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"\"2025届高一下学期周末卷02小测\":\"40387:40395\",\n",
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"\"2025届高一下学期周末卷07\":\"40396:40413\",\n",
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"\"2025届高一下学期周末卷07小测\":\"40414:40421\"\n",
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"\n",
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"}\n",
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"\n",
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"\"\"\"---设置题目列表结束---\"\"\"\n",
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"\n",
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"\"\"\"---设置文件保存路径---\"\"\"\n",
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"#目录和文件的分隔务必用/\n",
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"directory = \"临时文件/\"\n",
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"filename = \"高三二模前易错题\"\n",
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"# filename = \"2022学年下学期高一高二材料\"\n",
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"# filename = \"高三二模前易错题\"\n",
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"filename = \"2022学年下学期高一高二材料\"\n",
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"\"\"\"---设置文件名结束---\"\"\"\n",
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"if directory[-1] != \"/\":\n",
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" directory += \"/\"\n",
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@ -0,0 +1,77 @@
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\documentclass[10pt,a4paper,twoside]{article}
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\usepackage[UTF8, fontset = none, heading = true]{ctex}
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\setCJKmainfont[BoldFont=黑体,ItalicFont=楷体]{华文中宋}
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\usepackage{amssymb,amsmath,amsfonts,amsthm,mathrsfs,dsfont,graphicx}
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\usepackage{ifthen,indentfirst,enumerate,color,lastpage}
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\usepackage{tikz}
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\usepackage{multicol}
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\usepackage{multirow}
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\usepackage{makecell}
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\usepackage{longtable}
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\usepackage{diagbox}
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\usepackage{hyperref}
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\usepackage[top=1in, bottom=1in,left=0.8in,right=0.8in]{geometry}
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\usepackage{fancyhdr}
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\fancyhf{}
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\fancyhead[LO]{}
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\chead{}
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\rhead{--\ \thepage\ of \pageref{LastPage} \ --}
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\pagestyle{fancy}
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\ctexset{section={
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name={},
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number=\chinese{section},
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}}
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\CTEXsetup[format={\bfseries\raggedright}]{section}
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\usetikzlibrary{arrows,calc,intersections,patterns,decorations.pathreplacing,3d,angles,quotes,positioning,shapes.geometric}
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\renewcommand{\baselinestretch}{1.5}
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\newtheorem{defi}{定义~}
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\newtheorem{eg}{例~}
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\newtheorem{ex}{~}
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\newtheorem{rem}{注~}
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\newtheorem{thm}{定理~}
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\newtheorem{coro}{推论~}
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\newtheorem{axiom}{公理~}
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\newtheorem{prop}{性质~}
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\newcommand{\blank}[1]{\underline{\hbox to #1pt{}}}
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\newcommand{\bracket}[1]{(\hbox to #1pt{})}
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\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}}
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A.~#1\\
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B.~#2\\
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C.~#3\\
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D.~#4
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\end{tabular}}
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\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}}
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A.~#1& B.~#2\\
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C.~#3& D.~#4
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\end{tabular}}
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\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}}
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(1)~#1& (2)~#2\\
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(3)~#3& (4)~#4
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\end{tabular}}
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\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}}
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A.~#1 &B.~#2& C.~#3& D.~#4
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\end{tabular}}
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\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}}
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(1)~#1 &(2)~#2& (3)~#3& (4)~#4
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\end{tabular}}
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% 修改标题处
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\newcommand{\notestitle}{标题文字待处理}
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\begin{document}
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\begin{center}
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{\bf\large \notestitle}
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\end{center}
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\tableofcontents
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\newpage
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内容待替换
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\end{document}
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@ -2,59 +2,87 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"正在生成: 高三下学期周末卷04答案\n",
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"正在生成: 周末卷01答案\n",
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"正在生成: 周末卷02答案\n",
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"正在生成: 周末卷03答案\n",
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"正在生成: 周末卷03_暂未使用答案\n",
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"正在生成: 周末卷04答案\n",
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"正在生成: 周末卷05答案\n",
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"正在生成: 周末卷06答案\n",
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"正在生成: 周末卷07答案\n",
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"正在生成: 周末卷08答案\n",
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"正在生成: 周末卷09答案\n",
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"正在生成: 周末卷10答案\n",
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"正在生成: 周末卷11答案\n",
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"正在生成: 周末卷12答案\n",
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"正在生成: 周末卷13答案\n",
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"正在生成: 周末卷14答案\n",
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"正在生成: 国庆卷答案\n",
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"编译 临时文件/23届高三上学期周末卷参考答案.tex 中\n",
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"0\n"
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]
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}
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],
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"source": [
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"import os,re,json\n",
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"import os,re,json,zipfile\n",
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"\n",
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"# filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第二轮复习讲义\\09_立体几何综合.tex\"\n",
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"filelist = [r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\下学期周末卷\\高三下学期周末卷04.tex\",\n",
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"file_dir = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期周末卷\"\n",
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"filelist = []\n",
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"output_gloss_filename = \"23届高三上学期周末卷参考答案\"\n",
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"\n",
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"]\n",
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"pdf_dir = \"临时文件\"\n",
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"if len(filelist) == 0:\n",
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" filelist = [f for f in os.listdir(file_dir) if \".tex\" in f]\n",
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"\n",
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"\n",
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"\n",
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"with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"u8\") as f:\n",
|
||||
" pro_dict = json.loads(f.read())\n",
|
||||
"\n",
|
||||
"output_data = \"\"\n",
|
||||
"\n",
|
||||
"for filename in filelist:\n",
|
||||
" outfilename = os.path.split(filename)[1][:-4]+\"答案\"\n",
|
||||
" print(\"正在生成: \",outfilename)\n",
|
||||
" with open(filename,\"r\",encoding = \"u8\") as f:\n",
|
||||
" with open(os.path.join(file_dir,filename),\"r\",encoding = \"u8\") as f:\n",
|
||||
" data = f.read()\n",
|
||||
" with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"u8\") as f:\n",
|
||||
" pro_dict = json.loads(f.read())\n",
|
||||
"\n",
|
||||
" ids = re.findall(r\"\\((\\d{6})\\)\",data)\n",
|
||||
" if len(ids) > 0:\n",
|
||||
" print(\"正在生成: \",outfilename)\n",
|
||||
" output_data += (\"\\n\\n\"+r\"\\section{\"+outfilename.replace(\"_\",\"-\")+\"}\\n\\n\")\n",
|
||||
" output_data += (\"\\n\\n\"+r\"\\begin{enumerate}\"+\"\\n\\n\")\n",
|
||||
" for id in ids:\n",
|
||||
" problemset = pro_dict[id]\n",
|
||||
" content = problemset[\"content\"]\n",
|
||||
" solution = problemset[\"solution\"]\n",
|
||||
" answer = \"\\\\textcolor{red}{\" + (problemset[\"ans\"] if problemset[\"ans\"] != \"\" else \"\\\\textcolor{blue}{暂无答案}\") + \"}\"\n",
|
||||
" output_data += \"\\\\item \" + \"(\"+id+\") \" + content + \"\\n\\n\" + \"答案: \" + answer + \"\\n\\n\" \n",
|
||||
" output_data += (\"\\n\\n\"+r\"\\end{enumerate}\"+\"\\n\\\\newpage\\n\\n\")\n",
|
||||
"\n",
|
||||
" output_data = \"\"\n",
|
||||
" for id in ids:\n",
|
||||
" problemset = pro_dict[id]\n",
|
||||
" content = problemset[\"content\"]\n",
|
||||
" solution = problemset[\"solution\"]\n",
|
||||
" answer = \"\\\\textcolor{red}{\" + (problemset[\"ans\"] if problemset[\"ans\"] != \"\" else \"\\\\textcolor{blue}{暂无答案}\") + \"}\"\n",
|
||||
" output_data += \"\\\\item \" + \"(\"+id+\") \" + content + \"\\n\\n\" + \"答案: \" + answer + \"\\n\\n\" \n",
|
||||
"with open(\"模板文件/试卷答案模板.txt\",\"r\",encoding = \"u8\") as f:\n",
|
||||
" outlatex = f.read()\n",
|
||||
"\n",
|
||||
" with open(\"模板文件/日常选题讲义模板.txt\",\"r\",encoding = \"u8\") as f:\n",
|
||||
" outlatex = f.read()\n",
|
||||
"outlatex = outlatex.replace(\"内容待替换\",output_data)\n",
|
||||
"outlatex = outlatex.replace(\"标题文字待处理\",output_gloss_filename.replace(\"_\",\"-\"))\n",
|
||||
"\n",
|
||||
" outlatex = outlatex.replace(\"待替换1\",output_data)\n",
|
||||
" outlatex = outlatex.replace(\"标题文字待处理\",outfilename)\n",
|
||||
"outfile = os.path.join(\"临时文件\",output_gloss_filename+\".tex\")\n",
|
||||
"with open(outfile,\"w\",encoding=\"u8\") as f:\n",
|
||||
" f.write(outlatex)\n",
|
||||
"\n",
|
||||
"outfile = outfile.replace(\"\\\\\",\"/\")\n",
|
||||
"\n",
|
||||
"print(\"编译 \"+outfile+\" 中\")\n",
|
||||
"os.system(\"xelatex -interaction=batchmode -output-directory=临时文件 \" + outfile)\n",
|
||||
"print(os.system(\"xelatex -interaction=batchmode -output-directory=临时文件 \" + outfile))\n",
|
||||
"\n",
|
||||
" outfile = os.path.join(\"临时文件\",outfilename+\".tex\")\n",
|
||||
" with open(outfile,\"w\",encoding=\"u8\") as f:\n",
|
||||
" f.write(outlatex)\n",
|
||||
"\n",
|
||||
" outfile = outfile.replace(\"\\\\\",\"/\")\n",
|
||||
"\n",
|
||||
" os.system(\"xelatex -interaction=batchmode -output-directory=\" + pdf_dir + \" \"+ outfile)\n",
|
||||
" print(os.system(\"xelatex -interaction=batchmode -output-directory=\" + pdf_dir + \" \"+ outfile))\n",
|
||||
"\n",
|
||||
" "
|
||||
]
|
||||
|
|
@ -83,7 +111,7 @@
|
|||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.8.15"
|
||||
"version": "3.9.15"
|
||||
},
|
||||
"orig_nbformat": 4,
|
||||
"vscode": {
|
||||
|
|
|
|||
|
|
@ -456059,5 +456059,157 @@
|
|||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040414": {
|
||||
"id": "040414",
|
||||
"content": "正弦曲线与余弦曲线在区间$[0,2 \\pi]$内的交点的个数是\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040415": {
|
||||
"id": "040415",
|
||||
"content": "函数$f(x)=\\cos (\\pi x)$的单调递增区间是\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040416": {
|
||||
"id": "040416",
|
||||
"content": "函数$y=2 \\cos ^2(2 x+\\dfrac{\\pi}{3})$的最小正周期是\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040417": {
|
||||
"id": "040417",
|
||||
"content": "函数$y=\\sin (2 x-\\dfrac{\\pi}{4})$, $x \\in[0, \\pi]$的单增区间是\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040418": {
|
||||
"id": "040418",
|
||||
"content": "若函数$y=\\sin (2 x+\\varphi)$, $|\\varphi|<\\pi$是偶函数, 则$\\varphi=$\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040419": {
|
||||
"id": "040419",
|
||||
"content": "把函数$y=\\sin (2 x+\\dfrac{\\pi}{4})$的图像向右平移$\\dfrac{\\pi}{8}$个单位, 再把所得图像上各点的横坐标变为原来的$\\dfrac{1}{2}$, 则所得图像的函数是\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040420": {
|
||||
"id": "040420",
|
||||
"content": "已知函数$f(x)=A \\sin (\\dfrac{\\pi}{3} x+\\varphi)$, $x \\in \\mathbf{R}$($A>0$, $0<\\varphi<\\dfrac{\\pi}{2}$). $y=f(x)$的部分图像如图所示. $P, Q$分别为该图像的最高点和最低点, 点$P$的坐标为$(1, A)$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.6]\n\\draw [->] (-2,0) -- (6,0) node [below] {$x$};\n\\draw [->] (0,-2.5) -- (0,2.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -0.5:5.5, samples = 100] plot (\\x,{sqrt(3)*sin(60*\\x+30)});\n\\draw [dashed] (1,{sqrt(3)}) node [above] {$P$} coordinate (P)-- (1,0) node [above left] {$R$} coordinate (R) -- (4,{-sqrt(3)}) node [below] {$Q$} coordinate (Q);\n\\end{tikzpicture}\n\\end{center}\n(1) 求$\\varphi$的值;\\\\\n(2) 若点$R$的坐标为$(1,0)$, $\\angle PRQ=\\dfrac{2 \\pi}{3}$, 求$A$的值.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
},
|
||||
"040421": {
|
||||
"id": "040421",
|
||||
"content": "已知函数$y=2 \\cos x \\sin (x+\\dfrac{\\pi}{3})-\\sqrt{3} \\sin ^2 x+\\dfrac{1}{2} \\sin 2 x$.\\\\\n(1) 求函数的最小正周期和单调递减区间;\\\\\n(2) 求函数在区间$[\\dfrac{\\pi}{6}, \\dfrac{2 \\pi}{3}]$上的最大值与最小值.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2025届高一下学期周末卷07小测",
|
||||
"edit": [
|
||||
"20230330\t王伟叶"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
}
|
||||
}
|
||||
Reference in New Issue