wangweiye
/
mathdeptv2
Archived
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

20221027 evening

This commit is contained in:
weiye.wang 2022-10-27 21:11:17 +08:00
parent cc37c9f7b8
commit 9c7f413fbd
5 changed files with 50 additions and 25 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

14
工具/已用题号剔除.ipynb
View File

@ -2,15 +2,15 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 3, "execution_count": 2,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
"name": "stdout", "name": "stdout",
"output_type": "stream", "output_type": "stream",
"text": [ "text": [
"首行题目数量: 488\n", "首行题目数量: 21\n",
"剩余题目数量: 421\n" "剩余题目数量: 21\n"
] ]
} }
], ],
@ -22,7 +22,7 @@
"\"\"\"---设置题号列表文件结束---\"\"\"\n", "\"\"\"---设置题号列表文件结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置要排除的题号所在的绝对路径---\"\"\"\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", "\n",
"used_path_list = [\n", "used_path_list = [\n",
"mainpath + \"第一轮复习讲义/\",\n", "mainpath + \"第一轮复习讲义/\",\n",
@ -85,7 +85,7 @@
], ],
"metadata": { "metadata": {
"kernelspec": { "kernelspec": {
"display_name": "Python 3.9.7 ('base')", "display_name": "Python 3.8.8 ('base')",
"language": "python", "language": "python",
"name": "python3" "name": "python3"
}, },
@ -99,12 +99,12 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.9.7" "version": "3.8.8"
}, },
"orig_nbformat": 4, "orig_nbformat": 4,
"vscode": { "vscode": {
"interpreter": { "interpreter": {
"hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
} }
} }
}, },

5
工具/文本文件/题号筛选.txt
View File

@ -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: 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: 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

6
工具/添加关联题目.ipynb
View File

@ -2,15 +2,15 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"outputs": [], "outputs": [],
"source": [ "source": [
"import os,re,json,time\n", "import os,re,json,time\n",
"\n", "\n",
"\"\"\"---设置原题目id与新题目id---\"\"\"\n", "\"\"\"---设置原题目id与新题目id---\"\"\"\n",
"old_id = \"370\"\n", "old_id = \"4656\"\n",
"new_id = \"30281\"\n", "new_id = \"30282\"\n",
"\"\"\"---设置完毕---\"\"\"\n", "\"\"\"---设置完毕---\"\"\"\n",
"\n", "\n",
"old_id = old_id.zfill(6)\n", "old_id = old_id.zfill(6)\n",

16
工具/讲义生成.ipynb
View File

@ -2,7 +2,7 @@
"cells": [ "cells": [
{ {
"cell_type": "code", "cell_type": "code",
"execution_count": 2, "execution_count": 3,
"metadata": {}, "metadata": {},
"outputs": [ "outputs": [
{ {
@ -15,9 +15,9 @@
"题块 2 处理完毕.\n", "题块 2 处理完毕.\n",
"正在处理题块 3 .\n", "正在处理题块 3 .\n",
"题块 3 处理完毕.\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", "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" "0\n"
] ]
} }
@ -41,7 +41,7 @@
"# enumi_mode = 0\n", "# enumi_mode = 0\n",
"\n", "\n",
"#2023届测验卷与周末卷\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", "enumi_mode = 1\n",
"\n", "\n",
"# 日常选题讲义\n", "# 日常选题讲义\n",
@ -51,15 +51,15 @@
"\"\"\"---其他预处理替换命令结束---\"\"\"\n", "\"\"\"---其他预处理替换命令结束---\"\"\"\n",
"\n", "\n",
"\"\"\"---设置目标文件名---\"\"\"\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", "\"\"\"---设置目标文件名结束---\"\"\"\n",
"\n", "\n",
"\n", "\n",
"\"\"\"---设置题号数据---\"\"\"\n", "\"\"\"---设置题号数据---\"\"\"\n",
"problems = [\n", "problems = [\n",
"\"12009:12020\",\n", "\"3632,3636,4144,3986,4081,4124,3658,4313,4278,4257,4153,4154\",\n",
"\"12021:12024\",\n", "\"4365,4420,4460,4461\",\n",
"\"12025:12029\"\n", "\"4485,30282,4763,4465,4466\"\n",
"]\n", "]\n",
"\"\"\"---设置题号数据结束---\"\"\"\n", "\"\"\"---设置题号数据结束---\"\"\"\n",
"\n", "\n",

34
题库0.3/Problems.json
View File

@ -112111,7 +112111,7 @@
}, },
"004420": { "004420": {
"id": "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": [], "objs": [],
"tags": [ "tags": [
"第三单元" "第三单元"
@ -113148,7 +113148,7 @@
}, },
"004460": { "004460": {
"id": "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": [], "objs": [],
"tags": [ "tags": [
"第六单元" "第六单元"
@ -113275,7 +113275,7 @@
}, },
"004465": { "004465": {
"id": "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": [], "objs": [],
"tags": [ "tags": [
"第三单元" "第三单元"
@ -118145,7 +118145,9 @@
"20220710\t王伟叶" "20220710\t王伟叶"
], ],
"same": [], "same": [],
"related": [], "related": [
"030282"
],
"remark": "", "remark": "",
"space": "12ex" "space": "12ex"
}, },
@ -297792,5 +297794,29 @@
], ],
"remark": "", "remark": "",
"space": "" "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"
} }
} }