diff --git a/工具/已用题号剔除.ipynb b/工具/已用题号剔除.ipynb index b86fe4ba..c97f7ff6 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": 3, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "首行题目数量: 488\n", - "剩余题目数量: 421\n" + "首行题目数量: 21\n", + "剩余题目数量: 21\n" ] } ], @@ -22,7 +22,7 @@ "\"\"\"---设置题号列表文件结束---\"\"\"\n", "\n", "\"\"\"---设置要排除的题号所在的绝对路径---\"\"\"\n", - "mainpath = r\"C:/Users/wang Weiye/Documents/wwy sync/23届/\"\n", + "mainpath = r\"C:/Users/Weiye/Documents/wwy sync/23届/\"\n", "\n", "used_path_list = [\n", "mainpath + \"第一轮复习讲义/\",\n", @@ -85,7 +85,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.9.7 ('base')", + "display_name": "Python 3.8.8 ('base')", "language": "python", "name": "python3" }, @@ -99,12 +99,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.7" + "version": "3.8.8" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" + "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" } } }, 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 621c6f47..1adf9085 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 @@ -003589,003590,003592,003593,003597,003601,003603,003604,003605,003606,003607,003609,003610,003612,003613,003620,003621,003622,003624,003625,003626,003627,003628,003631,003632,003633,003636,003637,003642,003644,003645,003646,003647,003648,003649,003655,003656,003658,003662,003665,003667,003668,003669,003670,003673,003675,003676,003677,003679,003680,003681,003683,003689,003690,003693,003694,003695,003697,003698,003699,003700,003702,003703,004059,004061,004066,004067,004069,004070,004072,004074,004075,004076,004079,004080,004081,004084,004086,004088,004089,004090,004091,004092,004093,004094,004096,004097,004098,004101,004102,004106,004108,004111,004112,004113,004115,004116,004117,004118,004119,004122,004123,004124,004125,004126,004130,004132,004133,004135,004136,004137,004138,004139,004140,004143,004144,004145,004149,004151,004153,004154,004155,004157,004159,004160,004161,004162,004164,004165,004167,004168,004171,004172,004174,004175,004176,004177,004180,004181,004184,004185,004186,004190,004191,004194,004196,004198,004199,004200,004201,004202,004203,004205,004206,004208,004209,004214,004215,004217,004218,004219,004220,004221,004222,004223,004224,004227,004228,004229,004230,004233,004234,004235,004236,004238,004240,004241,004243,004244,004247,004248,004249,004253,004256,004258,004259,004261,004264,004265,004266,004269,004270,004271,004272,004273,004274,004276,004277,004278,004279,004282,004283,004284,004285,004286,004287,004289,004290,004291,004292,004293,004295,004301,004302,004305,004306,004307,004308,004311,004312,004313,004314,004315,004316,004319,004320,004322,004323,004325,004326,004327,004328,004329,004332,004333,004335,004336,004337,004339,004344,004345,004347,004348,004349,004350,004353,004354,004355,004356,004357,004358,004359,004360,004362,004364,004365,004366,004367,004368,004369,004370,004371,004373,004374,004375,004376,004377,004378,004379,004380,004381,004382,004383,004384,004385,004386,004387,004388,004389,004390,004391,004392,004393,004395,004396,004397,004398,004399,004400,004401,004403,004404,004405,004406,004407,004408,004409,004410,004411,004412,004413,004414,004415,004416,004417,004418,004419,004420,004421,004422,004423,004424,004425,004426,004427,004429,004431,004432,004433,004434,004435,004436,004437,004438,004439,004440,004441,004442,004443,004444,004445,004446,004447,004448,004449,004451,004452,004454,004455,004456,004457,004458,004460,004461,004462,004463,004464,004465,004466,004468,004469,004470,004471,004477,004479,004481,004482,004483,004484,004485,004486,004489,004490,004492,004493,004496,004498,004499,004500,004502,004503,004505,004506,004509,004510,004512,004515,004516,004518,004520,004522,004523,004525,004526,004527,004530,004531,004532,004533,004539,004540,004541,004542,004543,004544,004545,004546,004547,004548,004549,004552,004554,004555,004556,004557,004559,004562,004563,004564,004565,004567,004569,004571,004619,004620,004621,004622,004623,004630,004631,004634,004635,004636,004637,004640,004641,004642,004645,004646,004649,004650,004652,004655,004656,004657,004658,004661,004662,004664,004665,004666,004667,004668,004669,004671,004672,004673,004674,004675,004676,004677,004679,004680,004681,004703,004704,004706,004707,004708,004714,004715,004719,004720,004721,004745,004754,004755,004756,004757,004759,004760,004761,004762,004763,009984,009986,009988,009991,009994,009995,009996,009997,009998,010000,010001,010002,030050,030062 +3632,4365,4485,3636,4420,4656,4144,4460,4763,3986,4461,4465,4081,4466,4124,3658,4313,4278,4257,4153,4154 未使用题号: -003589,003590,003592,003593,003597,003601,003603,003604,003605,003607,003609,003610,003612,003613,003620,003622,003624,003625,003626,003628,003631,003632,003633,003636,003637,003642,003644,003646,003647,003649,003655,003656,003658,003665,003667,003668,003669,003673,003675,003676,003677,003679,003680,003681,003683,003689,003690,003693,003694,003695,003697,003698,003699,003700,004059,004061,004066,004067,004069,004070,004072,004074,004075,004076,004079,004081,004086,004088,004089,004090,004093,004094,004096,004097,004101,004102,004112,004113,004115,004117,004118,004119,004123,004124,004126,004130,004132,004133,004135,004136,004137,004138,004139,004143,004144,004145,004149,004151,004153,004154,004155,004159,004160,004162,004165,004168,004171,004172,004174,004175,004176,004177,004185,004186,004190,004191,004194,004198,004199,004200,004201,004202,004203,004205,004206,004208,004209,004214,004215,004217,004218,004219,004220,004221,004222,004223,004227,004228,004229,004230,004233,004234,004235,004236,004238,004241,004243,004244,004249,004253,004256,004258,004259,004261,004264,004266,004269,004270,004271,004272,004273,004274,004277,004278,004279,004284,004285,004286,004287,004289,004290,004291,004292,004293,004295,004301,004302,004305,004306,004307,004308,004311,004313,004314,004315,004316,004319,004323,004325,004326,004327,004329,004332,004333,004335,004336,004337,004339,004344,004345,004347,004348,004349,004350,004353,004354,004355,004357,004358,004360,004362,004364,004365,004366,004367,004368,004369,004371,004373,004374,004375,004376,004377,004378,004379,004380,004381,004382,004383,004384,004386,004387,004388,004389,004390,004391,004392,004393,004395,004396,004397,004398,004399,004401,004403,004404,004405,004406,004407,004408,004410,004411,004413,004415,004416,004417,004418,004419,004420,004421,004422,004423,004425,004426,004427,004429,004431,004432,004433,004434,004435,004436,004437,004438,004441,004442,004443,004445,004446,004447,004448,004449,004452,004454,004455,004456,004457,004458,004460,004461,004462,004463,004464,004465,004466,004468,004469,004470,004471,004477,004479,004481,004482,004483,004484,004485,004486,004489,004490,004493,004496,004498,004499,004500,004502,004503,004505,004506,004510,004512,004515,004516,004518,004520,004522,004523,004525,004526,004527,004530,004531,004532,004533,004540,004541,004542,004543,004544,004545,004546,004547,004549,004552,004554,004555,004556,004559,004562,004563,004564,004565,004567,004569,004571,004619,004620,004621,004623,004630,004631,004634,004635,004637,004640,004641,004645,004646,004649,004650,004652,004655,004656,004657,004658,004661,004662,004664,004665,004666,004667,004668,004669,004671,004673,004674,004675,004676,004677,004679,004681,004703,004704,004706,004707,004708,004714,004715,004719,004721,004745,004754,004755,004756,004757,004759,004760,004761,004762,004763,009984,009986,009988,009991,009994,009995,009996,009997,009998,010000,010001,010002 +3632,4365,4485,3636,4420,4656,4144,4460,4763,3986,4461,4465,4081,4466,4124,3658,4313,4278,4257,4153,4154 已使用题号: -003606,003621,003627,003645,003648,003662,003670,003702,003703,004080,004084,004091,004092,004098,004106,004108,004111,004116,004122,004125,004140,004157,004161,004164,004167,004180,004181,004184,004196,004224,004240,004247,004248,004265,004276,004282,004283,004312,004320,004322,004328,004356,004359,004370,004385,004400,004409,004412,004414,004424,004439,004440,004444,004451,004492,004509,004539,004548,004557,004622,004636,004642,004672,004680,004720,030050,030062 \ 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 0bf35ac8..10b0574c 100644 --- a/工具/添加关联题目.ipynb +++ b/工具/添加关联题目.ipynb @@ -2,15 +2,15 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import os,re,json,time\n", "\n", "\"\"\"---设置原题目id与新题目id---\"\"\"\n", - "old_id = \"370\"\n", - "new_id = \"30281\"\n", + "old_id = \"4656\"\n", + "new_id = \"30282\"\n", "\"\"\"---设置完毕---\"\"\"\n", "\n", "old_id = old_id.zfill(6)\n", diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index b0a276fd..5c90a1de 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": 2, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -15,9 +15,9 @@ "题块 2 处理完毕.\n", "正在处理题块 3 .\n", "题块 3 处理完毕.\n", - "开始编译教师版本pdf文件: 临时文件/2022届杨浦区基础考_教师_20221027.tex\n", + "开始编译教师版本pdf文件: 临时文件/测验05_教师_20221027.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/2022届杨浦区基础考_学生_20221027.tex\n", + "开始编译学生版本pdf文件: 临时文件/测验05_学生_20221027.tex\n", "0\n" ] } @@ -41,7 +41,7 @@ "# enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", - "exec_list = [(\"标题替换\",\"2021届杨浦区基础考\")]\n", + "exec_list = [(\"标题替换\",\"测验05\")]\n", "enumi_mode = 1\n", "\n", "# 日常选题讲义\n", @@ -51,15 +51,15 @@ "\"\"\"---其他预处理替换命令结束---\"\"\"\n", "\n", "\"\"\"---设置目标文件名---\"\"\"\n", - "destination_file = \"临时文件/2022届杨浦区基础考\"\n", + "destination_file = \"临时文件/测验05\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"12009:12020\",\n", - "\"12021:12024\",\n", - "\"12025:12029\"\n", + "\"3632,3636,4144,3986,4081,4124,3658,4313,4278,4257,4153,4154\",\n", + "\"4365,4420,4460,4461\",\n", + "\"4485,30282,4763,4465,4466\"\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", "\n", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 735071ea..92040deb 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -112111,7 +112111,7 @@ }, "004420": { "id": "004420", - "content": "为了得到函数$y=\\sin (2x+\\dfrac{\\pi}3)$的图像, 可将函数$y=\\sin x$的图像\\bracket{20}.\n\\fourch{左移$\\dfrac{\\pi}3$个长度}{右移$\\dfrac{\\pi}3$个长度}{左移$\\dfrac{\\pi}6$个长度}{右移$\\dfrac{\\pi}6$个长度}", + "content": "为了得到函数$y=\\sin (2x+\\dfrac{\\pi}3)$的图像, 可将函数$y=\\sin 2x$的图像\\bracket{20}.\n\\fourch{左移$\\dfrac{\\pi}3$个长度}{右移$\\dfrac{\\pi}3$个长度}{左移$\\dfrac{\\pi}6$个长度}{右移$\\dfrac{\\pi}6$个长度}", "objs": [], "tags": [ "第三单元" @@ -113148,7 +113148,7 @@ }, "004460": { "id": "004460", - "content": "已知二面角$\\alpha-l-\\beta$是直二面角, $m$为直线, $\\gamma$为平面, 则下列命题中真命题为\\bracket{20}.\n\\twoch{若$m\\subsetneqq \\alpha$, 则$m\\perp \\beta$}{若$m\\perp \\alpha$, 则$m\\parallel \\beta$}{若$m\\parallel \\alpha$, 则$m\\perp \\beta$}{若$\\gamma\\parallel \\alpha$, 则$\\gamma\\perp \\beta$}", + "content": "已知二面角$\\alpha-l-\\beta$是直二面角, $m$为直线, $\\gamma$为平面, 则下列命题中真命题为\\bracket{20}.\n\\twoch{若$m\\subset \\alpha$, 则$m\\perp \\beta$}{若$m\\perp \\alpha$, 则$m\\parallel \\beta$}{若$m\\parallel \\alpha$, 则$m\\perp \\beta$}{若$\\gamma\\parallel \\alpha$, 则$\\gamma\\perp \\beta$}", "objs": [], "tags": [ "第六单元" @@ -113275,7 +113275,7 @@ }, "004465": { "id": "004465", - "content": "如图是函数$f(x)=A\\sin (\\omega x+\\varphi)$($A>0$, $\\omega>0$, $0\\le \\varphi\\le \\pi$)一个周期内的图像. 将$f(x)$图像上所有点的横坐标伸长为原来的$2$倍, 纵坐标不变, 再把所得图像向右平移$\\dfrac\\pi 2$个单位长度, 得到函数$g(x)$的图像.\n\\begin{center}\n \\begin{tikzpicture}[>=latex]\n \\draw [->] (-1,0) -- (3,0) 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 = -45:135, samples = 200] plot ({\\x/180*pi},{2*sin(2*\\x+90)});\n \\filldraw ({-pi/4},0) circle (0.03) node [above left] {$-\\frac\\pi 4$} ({pi/4},0) circle (0.03) node [above right] {$\\frac\\pi 4$};\n \\draw (0,2) node [above left] {$2$};\n \\draw [dashed] (0,-2) node [left] {$-2$} -- ({pi/2},-2) -- ({pi/2},0);\n \\end{tikzpicture}\n\\end{center}\n(1) 求函数$f(x)$和$g(x)$的解析式;\\\\\n(2) 若$f(x_0)=g(x_0)$, 求$\\sin (x_0\\dfrac\\pi 3)$的所有可能的值;\\\\\n(3) 求函数$F(x)=f(x)+ag(x)$($a$为正常数)在区间$(0,19\\pi)$内的所有零点之和.", + "content": "如图是函数$f(x)=A\\sin (\\omega x+\\varphi)$($A>0$, $\\omega>0$, $0\\le \\varphi\\le \\pi$)一个周期内的图像. 将$f(x)$图像上所有点的横坐标伸长为原来的$2$倍, 纵坐标不变, 再把所得图像向右平移$\\dfrac\\pi 2$个单位长度, 得到函数$g(x)$的图像.\n\\begin{center}\n \\begin{tikzpicture}[>=latex]\n \\draw [->] (-1,0) -- (3,0) 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 = -45:135, samples = 200] plot ({\\x/180*pi},{2*sin(2*\\x+90)});\n \\filldraw ({-pi/4},0) circle (0.03) node [above left] {$-\\frac\\pi 4$} ({pi/4},0) circle (0.03) node [above right] {$\\frac\\pi 4$};\n \\draw (0,2) node [above left] {$2$};\n \\draw [dashed] (0,-2) node [left] {$-2$} -- ({pi/2},-2) -- ({pi/2},0);\n \\end{tikzpicture}\n\\end{center}\n(1) 求函数$f(x)$和$g(x)$的解析式;\\\\\n(2) 若$f(x_0)=g(x_0)$, 求$\\sin (x_0-\\dfrac\\pi 3)$的所有可能的值;\\\\\n(3) 求函数$F(x)=f(x)+ag(x)$($a$为正常数)在区间$(0,19\\pi)$内的所有零点之和.", "objs": [], "tags": [ "第三单元" @@ -118145,7 +118145,9 @@ "20220710\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030282" + ], "remark": "", "space": "12ex" }, @@ -297792,5 +297794,29 @@ ], "remark": "", "space": "" + }, + "030282": { + "id": "030282", + "content": "如左图, 在$\\text{Rt}\\triangle ABC$中, $\\angle C=90^\\circ$, $BC=3$, $AC=6$, $D$、$E$分别为$AC$、$AB$上的点, 且$DE\\parallel BC$, $DE=2$, 将$\\triangle ADE$沿$DE$折起到$\\triangle A_1DE$的位置, 使$A_1C\\perp CD$, 如右图.\n\\begin{center}\n \\begin{tikzpicture}[scale = 0.8]\n \\draw (0,0) node [left] {$C$} coordinate (C) -- (3,0) node [right] {$B$} coordinate (B) -- (0,6) node [above] {$A$} coordinate (A) -- cycle;\n \\draw ($(A)!{2/3}!(C)$) node [left] {$D$} coordinate (D) -- ($(A)!{2/3}!(B)$) node [right] {$E$} coordinate (E);\n \\end{tikzpicture}\n \\begin{tikzpicture}[scale = 0.8]\n \\draw (0,0) node [left] {$C$} coordinate (C) -- (3,0) node [right] {$B$} coordinate (B) -- (0,{2*sqrt(3)}) node [above] {$A_1$} coordinate (A1) -- cycle;\n \\draw (45:1) node [left] {$D$} coordinate (D) ++ (2,0) node [right] {$E$} coordinate (E);\n \\draw (B) -- (E) -- (A1);\n \\draw [dashed] (D) -- (E) (D) -- (C) (D) -- (A1) ($(A1)!0.5!(D)$) node [right] {$M$} -- (C);\n \\end{tikzpicture}\n\\end{center}\n(1) 求证: $A_1C\\perp$平面$BCDE$;\\\\\n(2) 若$M$是$A_1D$的中点, 求$CM$与平面$A_1DE$所成角的大小.", + "objs": [], + "tags": [ + "第六单元" + ], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2022届高三上月考卷02第17题-20221027修改", + "edit": [ + "20220710\t王伟叶", + "20221027\t徐慧" + ], + "same": [], + "related": [ + "004656" + ], + "remark": "", + "space": "12ex" } } \ No newline at end of file