diff --git a/工具/关键字筛选题号.ipynb b/工具/关键字筛选题号.ipynb index 06a6c669..a426cf28 100644 --- a/工具/关键字筛选题号.ipynb +++ b/工具/关键字筛选题号.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -11,7 +11,7 @@ "0" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -21,7 +21,7 @@ "\n", "\"\"\"---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---\"\"\"\n", "keywords_dict_table = [\n", - " {\"tags\":[\"六\"],\"content\":[\"所成的角\",\"perp\",\"垂直\",\"平行\",\"parallel\"]}\n", + " {\"usages\":[r\"\\.8[5-9]\",r\"\\.9[0-4]\"],\"usages\":[\"2023\"],\"usages_not\":[r\"\\.[0-7]\"],\"tags\":['一','二']}\n", "]\n", "\"\"\"---关键字设置完毕---\"\"\"\n", "# 示例： keywords_dict_table = [\n", diff --git a/工具/寻找tex文件中未赋答案的题目.ipynb b/工具/寻找tex文件中未赋答案的题目.ipynb index c9029477..2d34db57 100644 --- a/工具/寻找tex文件中未赋答案的题目.ipynb +++ b/工具/寻找tex文件中未赋答案的题目.ipynb @@ -2,14 +2,14 @@ "cells": [ { "cell_type": "code", - "execution_count": 7, + "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "19_复数的几何意义与实系数二次方程.tex\n" + "国庆卷.tex\n" ] } ], @@ -17,9 +17,9 @@ "import os,json,re\n", "\n", "#这里需要修改, 设定路径与选择文件\n", - "fileind = 19\n", + "fileind = 7\n", "# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n", - "path = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n", + "path = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\"\n", "\n", "fileind = fileind - 1\n", "with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"utf8\") as f:\n", diff --git a/工具/已用题号剔除.ipynb b/工具/已用题号剔除.ipynb index fecfa53f..9b6ab92a 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": 1, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "首行题目数量: 393\n", - "剩余题目数量: 337\n" + "首行题目数量: 34\n", + "剩余题目数量: 34\n" ] } ], @@ -28,7 +28,8 @@ "mainpath + \"第一轮复习讲义/\",\n", "mainpath + \"上学期测验卷/\",\n", "mainpath + \"上学期周末卷/\",\n", - "mainpath + \"赋能/\"\n", + "mainpath + \"赋能/\",\n", + "# mainpath + \"简单题/\",\n", "]\n", "\"\"\"---路径设置完毕---\"\"\"\n", "\n", diff --git a/工具/批量添加题库字段数据.ipynb b/工具/批量添加题库字段数据.ipynb index 20b03636..ee9b132a 100644 --- a/工具/批量添加题库字段数据.ipynb +++ b/工具/批量添加题库字段数据.ipynb @@ -2,151 +2,33 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "题号: 030170 , 字段: objs 中已添加数据: K0802003B\n", - "题号: 030170 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030171 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030173 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030174 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030176 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030178 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030181 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030183 , 字段: objs 中已添加数据: K0803002B\n", - "题号: 030172 , 字段: objs 中已添加数据: K0805002B\n", - "题号: 030172 , 字段: objs 中已添加数据: K0806004B\n", - "题号: 030175 , 字段: objs 中已添加数据: K0806004B\n", - "题号: 030184 , 字段: objs 中已添加数据: K0806004B\n", - "题号: 030186 , 字段: objs 中已添加数据: K0806004B\n", - "题号: 030190 , 字段: objs 中已添加数据: K0806004B\n", - "题号: 030194 , 字段: objs 中已添加数据: K0806004B\n", - "题号: 030185 , 字段: objs 中已添加数据: K0807001B\n", - "题号: 030193 , 字段: objs 中已添加数据: K0807001B\n", - "题号: 030184 , 字段: objs 中已添加数据: K0808002B\n", - "题号: 030186 , 字段: objs 中已添加数据: K0808002B\n", - "题号: 030187 , 字段: objs 中已添加数据: K0808002B\n", - "题号: 030188 , 字段: objs 中已添加数据: K0808002B\n", - "题号: 030190 , 字段: objs 中已添加数据: K0808002B\n", - "题号: 030194 , 字段: objs 中已添加数据: K0808002B\n", - "题号: 030189 , 字段: objs 中已添加数据: K0809001B\n", - "题号: 030195 , 字段: objs 中已添加数据: K0901001B\n", - "题号: 030197 , 字段: objs 中已添加数据: K0901001B\n", - "题号: 030198 , 字段: objs 中已添加数据: K0901001B\n", - "题号: 030206 , 字段: objs 中已添加数据: K0901001B\n", - "题号: 030217 , 字段: objs 中已添加数据: K0901001B\n", - "题号: 030262 , 字段: objs 中已添加数据: K0901001B\n", - "题号: 030195 , 字段: objs 中已添加数据: K0901002B\n", - "题号: 030222 , 字段: objs 中已添加数据: K0901004B\n", - "题号: 030226 , 字段: objs 中已添加数据: K0902002B\n", - "题号: 030256 , 字段: objs 中已添加数据: K0902002B\n", - "题号: 030199 , 字段: objs 中已添加数据: K0902003B\n", - "题号: 030217 , 字段: objs 中已添加数据: K0902003B\n", - "题号: 030223 , 字段: objs 中已添加数据: K0902003B\n", - "题号: 030224 , 字段: objs 中已添加数据: K0902003B\n", - "题号: 030229 , 字段: objs 中已添加数据: K0902003B\n", - "题号: 030266 , 字段: objs 中已添加数据: K0902004B\n", - "题号: 030203 , 字段: objs 中已添加数据: K0902004B\n", - "题号: 030218 , 字段: objs 中已添加数据: K0902004B\n", - "题号: 030228 , 字段: objs 中已添加数据: K0902004B\n", - "题号: 030230 , 字段: objs 中已添加数据: K0902004B\n", - "题号: 030231 , 字段: objs 中已添加数据: K0902004B\n", - "题号: 030196 , 字段: objs 中已添加数据: K0903001B\n", - "题号: 030219 , 字段: objs 中已添加数据: K0903001B\n", - "题号: 030221 , 字段: objs 中已添加数据: K0903001B\n", - "题号: 030230 , 字段: objs 中已添加数据: K0903001B\n", - "题号: 030231 , 字段: objs 中已添加数据: K0903001B\n", - "题号: 030220 , 字段: objs 中已添加数据: K0903002B\n", - "题号: 030170 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030196 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030200 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030201 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030202 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030204 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030233 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030265 , 字段: objs 中已添加数据: K0903005B\n", - "题号: 030196 , 字段: objs 中已添加数据: K0903006B\n", - "题号: 030242 , 字段: objs 中已有该数据: K0904001B\n", - "题号: 030251 , 字段: objs 中已有该数据: K0904001B\n", - "题号: 030270 , 字段: objs 中已有该数据: K0904001B\n", - "题号: 030242 , 字段: objs 中已有该数据: K0904002B\n", - "题号: 030251 , 字段: objs 中已有该数据: K0904002B\n", - "题号: 030242 , 字段: objs 中已有该数据: K0904003B\n", - "题号: 030251 , 字段: objs 中已有该数据: K0904003B\n", - "题号: 030207 , 字段: objs 中已有该数据: K0904005B\n", - "题号: 030210 , 字段: objs 中已有该数据: K0904005B\n", - "题号: 030213 , 字段: objs 中已有该数据: K0904005B\n", - "题号: 030238 , 字段: objs 中已有该数据: K0904005B\n", - "题号: 030239 , 字段: objs 中已有该数据: K0904005B\n", - "题号: 030208 , 字段: objs 中已有该数据: K0905001B\n", - "题号: 030211 , 字段: objs 中已有该数据: K0905001B\n", - "题号: 030208 , 字段: objs 中已有该数据: K0905002B\n", - "题号: 030212 , 字段: objs 中已有该数据: K0905003B\n", - "题号: 030241 , 字段: objs 中已有该数据: K0905005B\n", - "题号: 030258 , 字段: objs 中已有该数据: K0905005B\n", - "题号: 030269 , 字段: objs 中已有该数据: K0905005B\n", - "题号: 030259 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030257 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030254 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030253 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030252 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030211 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030214 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030222 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030234 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030241 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030244 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030245 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030249 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030264 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030263 , 字段: objs 中已有该数据: K0906004B\n", - "题号: 030255 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030253 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030254 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030246 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030247 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030248 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030249 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030252 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030257 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030268 , 字段: objs 中已有该数据: K0906005B\n", - "题号: 030241 , 字段: objs 中已有该数据: K0906008B\n", - "题号: 030274 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030209 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030249 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030248 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030258 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030260 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030269 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030270 , 字段: objs 中已有该数据: K0906009B\n", - "题号: 030225 , 字段: objs 中已有该数据: K0906010B\n", - "题号: 030227 , 字段: objs 中已有该数据: K0906010B\n", - "题号: 030235 , 字段: objs 中已有该数据: K0906010B\n", - "题号: 030250 , 字段: objs 中已有该数据: K0906010B\n", - "题号: 030261 , 字段: objs 中已有该数据: K0906010B\n", - "题号: 030215 , 字段: objs 中已有该数据: K0907001B\n", - "题号: 030243 , 字段: objs 中已有该数据: K0907001B\n", - "题号: 030251 , 字段: objs 中已有该数据: K0907001B\n", - "题号: 030270 , 字段: objs 中已有该数据: K0907001B\n", - "题号: 030271 , 字段: objs 中已有该数据: K0907001B\n", - "题号: 030272 , 字段: objs 中已有该数据: K0907001B\n", - "题号: 030243 , 字段: objs 中已有该数据: K0907003B\n", - "题号: 030251 , 字段: objs 中已有该数据: K0907003B\n", - "题号: 030270 , 字段: objs 中已有该数据: K0907003B\n", - "题号: 030271 , 字段: objs 中已有该数据: K0907003B\n", - "题号: 030272 , 字段: objs 中已有该数据: K0907003B\n", - "题号: 030206 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030236 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030237 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030240 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030245 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030256 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030257 , 字段: objs 中已有该数据: K0907004B\n", - "题号: 030267 , 字段: objs 中已有该数据: K0907004B\n" + "题号: 030033 , 字段: ans 中已修改数据: (1) \\checkmark; (2) \\checkmark; (3) \\checkmark\n", + "题号: 030030 , 字段: ans 中已修改数据: $(\\dfrac 18,\\dfrac 13]$\n", + "题号: 030076 , 字段: ans 中已修改数据: $[-\\dfrac 52,\\dfrac 32]$\n", + "题号: 030038 , 字段: ans 中已修改数据: $(7,+\\infty)$\n", + "题号: 030042 , 字段: ans 中已修改数据: $(1,+\\infty)$\n", + "题号: 030048 , 字段: ans 中已修改数据: $(-4,-2]$\n", + "题号: 030046 , 字段: ans 中已修改数据: 图像略, 在$(-\\infty,1]$上是严格增函数; 在$[1,+\\infty)$上是严格减函数, 证明略\n", + "题号: 030051 , 字段: ans 中已修改数据: $\\dfrac{283}4$, $12\\sqrt{3}$\n", + "题号: 030043 , 字段: ans 中已修改数据: $(0,1)\\cup (1,+\\infty)$\n", + "题号: 030050 , 字段: ans 中已修改数据: $[-\\dfrac 1{12},-\\dfrac 1{20}]$\n", + "题号: 030058 , 字段: ans 中已修改数据: $(-\\dfrac{\\sqrt{2}}2,\\dfrac{7\\sqrt{2}}2)$\n", + "题号: 030056 , 字段: ans 中已修改数据: $\\dfrac\\pi 4$\n", + "题号: 030057 , 字段: ans 中已修改数据: (1) $-2\\sin \\theta$; (2) $2\\cos\\theta$\n", + "题号: 030060 , 字段: ans 中已修改数据: $y=-\\pi x^2+lx, \\ x\\in (0,\\dfrac{l}{2\\pi})$\n", + "题号: 030063 , 字段: ans 中已修改数据: $\\arcsin\\dfrac{3\\sqrt{21}}{14}$或$\\pi-\\arcsin\\dfrac{3\\sqrt{21}}{14}$, $\\dfrac\\pi 3$, $\\arcsin\\dfrac{\\sqrt{3}}3$\n", + "题号: 030062 , 字段: ans 中已修改数据: $\\dfrac 5{12}$\n", + "题号: 030065 , 字段: ans 中已修改数据: 最小值为$-\\dfrac 12$, 最大值为$\\dfrac 32$\n", + "题号: 030067 , 字段: ans 中已修改数据: $[\\dfrac\\pi{12}+k\\pi,\\dfrac{7\\pi}{12}+k\\pi], \\ k\\in \\mathbf{Z}$\n", + "题号: 030066 , 字段: ans 中已修改数据: $2-2\\sqrt{3}$\n", + "题号: 030064 , 字段: ans 中已修改数据: $(-6,-\\dfrac{3\\pi}2]\\cup [-\\dfrac\\pi 2,\\dfrac\\pi 2]\\cup [\\dfrac{3\\pi}2,6)$\n" ] } ], @@ -244,7 +126,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -258,12 +140,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.7" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" + "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" } } }, diff --git a/工具/批量题号选题pdf生成.ipynb b/工具/批量题号选题pdf生成.ipynb index d84c0c78..7b572ebb 100644 --- a/工具/批量题号选题pdf生成.ipynb +++ b/工具/批量题号选题pdf生成.ipynb @@ -293,7 +293,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -307,12 +307,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.7" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" + "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" } } }, diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index b1688527..0a92f647 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,416 +1,60 @@ -objs -30170 -K0802003B +ans +030033 +(1) \checkmark; (2) \checkmark; (3) \checkmark -30170 -K0803002B +030030 +$(\dfrac 18,\dfrac 13]$ -30171 -K0803002B +030076 +$[-\dfrac 52,\dfrac 32]$ -30173 -K0803002B +030038 +$(7,+\infty)$ -30174 -K0803002B +030042 +$(1,+\infty)$ -30176 -K0803002B +030048 +$(-4,-2]$ -30178 -K0803002B +030046 +图像略, 在$(-\infty,1]$上是严格增函数; 在$[1,+\infty)$上是严格减函数, 证明略 -30181 -K0803002B +030051 +$\dfrac{283}4$, $12\sqrt{3}$ -30183 -K0803002B +030043 +$(0,1)\cup (1,+\infty)$ -30172 -K0805002B +030050 +$[-\dfrac 1{12},-\dfrac 1{20}]$ -30172 -K0806004B +030058 +$(-\dfrac{\sqrt{2}}2,\dfrac{7\sqrt{2}}2)$ -30175 -K0806004B +030056 +$\dfrac\pi 4$ -30184 -K0806004B +030057 +(1) $-2\sin \theta$; (2) $2\cos\theta$ -30186 -K0806004B +030060 +$y=-\pi x^2+lx, \ x\in (0,\dfrac{l}{2\pi})$ -30190 -K0806004B +030063 +$\arcsin\dfrac{3\sqrt{21}}{14}$或$\pi-\arcsin\dfrac{3\sqrt{21}}{14}$, $\dfrac\pi 3$, $\arcsin\dfrac{\sqrt{3}}3$ -30194 -K0806004B +030062 +$\dfrac 5{12}$ -30185 -K0807001B +030065 +最小值为$-\dfrac 12$, 最大值为$\dfrac 32$ -30193 -K0807001B - -30184 -K0808002B - -30186 -K0808002B - -30187 -K0808002B - -30188 -K0808002B - -30190 -K0808002B - -30194 -K0808002B - -30189 -K0809001B - -30195 -K0901001B - -30197 -K0901001B - -30198 -K0901001B - -30206 -K0901001B - -30217 -K0901001B - -30262 -K0901001B - -30195 -K0901002B - -30222 -K0901004B - -30226 -K0902002B - -30256 -K0902002B - -30199 -K0902003B - -30217 -K0902003B - -30223 -K0902003B - -30224 -K0902003B - -30229 -K0902003B - -30266 -K0902004B - -30203 -K0902004B - -30218 -K0902004B - -30228 -K0902004B - -30230 -K0902004B - -30231 -K0902004B - -30196 -K0903001B - -30219 -K0903001B - -30221 -K0903001B - -30230 -K0903001B - -30231 -K0903001B - -30220 -K0903002B - -30170 -K0903005B - -30196 -K0903005B - -30200 -K0903005B - -30201 -K0903005B - -30202 -K0903005B - -30204 -K0903005B - -30233 -K0903005B - -30265 -K0903005B - -30196 -K0903006B - -30242 -K0904001B - -30251 -K0904001B - -30270 -K0904001B - -30242 -K0904002B - -30251 -K0904002B - -30242 -K0904003B - -30251 -K0904003B - -30207 -K0904005B - -30210 -K0904005B - -30213 -K0904005B - -30238 -K0904005B - -30239 -K0904005B - -30208 -K0905001B - -30211 -K0905001B - -30208 -K0905002B - -30212 -K0905003B - -30241 -K0905005B - -30258 -K0905005B - -30269 -K0905005B - -30259 -K0906004B - -30257 -K0906004B - -30254 -K0906004B - -30253 -K0906004B - -30252 -K0906004B - -30211 -K0906004B - -30214 -K0906004B - -30222 -K0906004B - -30234 -K0906004B - -30241 -K0906004B - -30244 -K0906004B - -30245 -K0906004B - -30249 -K0906004B - -30264 -K0906004B - -30263 -K0906004B - -30255 -K0906005B - -30253 -K0906005B - -30254 -K0906005B - -30246 -K0906005B - -30247 -K0906005B - -30248 -K0906005B - -30249 -K0906005B - -30252 -K0906005B - -30257 -K0906005B - -30268 -K0906005B - -30241 -K0906008B - -30274 -K0906009B - -30209 -K0906009B - -30249 -K0906009B - -30248 -K0906009B - -30258 -K0906009B - -30260 -K0906009B - -30269 -K0906009B - -30270 -K0906009B - -30225 -K0906010B - -30227 -K0906010B - -30235 -K0906010B - -30250 -K0906010B - -30261 -K0906010B - -30215 -K0907001B - -30243 -K0907001B - -30251 -K0907001B - -30270 -K0907001B - -30271 -K0907001B - -30272 -K0907001B - -30243 -K0907003B - -30251 -K0907003B - -30270 -K0907003B - -30271 -K0907003B - -30272 -K0907003B - -30206 -K0907004B - -30236 -K0907004B - -30237 -K0907004B - -30240 -K0907004B - -30245 -K0907004B - -30256 -K0907004B - -30257 -K0907004B - -30267 -K0907004B +030067 +$[\dfrac\pi{12}+k\pi,\dfrac{7\pi}{12}+k\pi], \ k\in \mathbf{Z}$ +030066 +$2-2\sqrt{3}$ +030064 +$(-6,-\dfrac{3\pi}2]\cup [-\dfrac\pi 2,\dfrac\pi 2]\cup [\dfrac{3\pi}2,6)$ 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 cf58c046..6db3e0ad 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 @@ -000176,000178,000180,000181,000182,000183,000184,000185,000186,000187,000188,000189,000190,000191,000192,000193,000194,000198,000206,000207,000212,000294,000297,000298,000299,000300,000301,000304,000305,000331,000364,000613,000615,000749,000854,001593,001595,001597,001598,001599,001602,001605,001606,001609,001610,001611,001612,001613,001614,001615,001616,001617,001619,001620,001621,001622,001624,001627,001628,001629,001630,001631,001633,001636,001637,001640,001641,001642,001643,001644,001645,001646,001647,001648,001649,001650,001651,001652,001653,001654,001655,001656,001658,001659,001662,001670,001673,001674,001675,001676,001677,001679,001680,001682,001684,001686,001691,001693,001694,001695,001698,001701,001709,001710,001712,001714,001725,001946,001949,001950,001951,001953,001964,001966,001968,001969,001971,001973,001975,001977,001978,001979,001984,001986,003452,003453,003454,003455,003456,003457,003458,003460,003461,003462,003464,003465,003466,003468,003469,003472,003476,003477,003478,003480,003481,003483,003484,003486,003489,003494,003495,003496,003497,003498,003500,003624,003626,003668,003700,003788,003816,003827,003830,003846,003875,003879,003891,003938,003950,003968,003973,003982,003987,003999,004075,004092,004096,004117,004133,004136,004159,004177,004180,004200,004218,004221,004223,004243,004264,004306,004327,004345,004348,004367,004398,004437,004460,004479,004484,004505,004526,004539,004565,004635,004652,004656,004696,004719,004740,004761,005260,009113,009116,009119,009122,009124,009127,009132,009133,009136,009137,009138,009142,009144,009145,009146,009148,009149,009150,009153,009155,009156,009157,009158,009159,009160,009161,009162,009163,009164,009167,009168,009169,009170,009172,009175,009176,009177,009178,009179,009180,009181,009183,009184,009185,009186,009192,009202,009204,009208,009210,009211,009213,009225,009226,009228,009229,009244,009245,009395,009396,009399,009414,009416,009666,009669,009675,009676,009678,009680,009681,009682,009683,009684,009685,009686,009687,009688,009690,009691,009693,009694,009695,009696,009697,009699,009700,009701,009702,009704,009705,009706,009707,009715,009716,009718,009725,009726,009860,009861,009864,009865,009866,009867,009868,009869,009870,009871,010000,010430,010435,010444,010445,010446,010447,010449,010450,010454,010457,010458,010459,010460,010461,010464,010465,010466,010467,010468,010470,010471,010472,010473,010474,010475,010479,010480,010481,010482,010483,010484,010485,010486,010487,010490,010491,010492,010493,010508,010510,010531,010706,010709,010710,010713,010715,010716,010718,010720,010721,010723,010725,010728,010729,010731,010733,010734,010735,010736,010737,010739,030099,030111,030112,030143,030144,030145,030147,030148,030149,030150,030151,030161,030164 - -未使用题号: -000176,000178,000180,000181,000182,000183,000184,000185,000186,000187,000190,000191,000192,000193,000194,000198,000206,000294,000297,000298,000299,000301,000304,000305,000613,000615,000854,001593,001595,001598,001599,001602,001605,001606,001609,001610,001612,001613,001614,001615,001616,001617,001619,001621,001622,001624,001627,001629,001630,001631,001633,001637,001640,001642,001643,001644,001646,001647,001648,001650,001651,001652,001653,001654,001655,001656,001658,001662,001673,001674,001675,001676,001677,001679,001680,001682,001684,001686,001691,001693,001694,001698,001701,001709,001710,001714,001725,001946,001949,001950,001951,001953,001964,001966,001968,001969,001971,001973,001975,001977,001978,001979,001984,001986,003452,003453,003455,003456,003457,003458,003460,003461,003462,003464,003465,003468,003469,003472,003476,003477,003478,003480,003481,003483,003484,003486,003489,003494,003495,003496,003497,003498,003500,003624,003626,003668,003700,003788,003816,003827,003830,003846,003879,003891,003938,003950,003968,003973,003987,003999,004075,004092,004096,004117,004133,004136,004159,004177,004180,004200,004218,004221,004223,004243,004264,004306,004327,004345,004348,004367,004398,004437,004460,004479,004484,004505,004526,004565,004635,004652,004656,004719,004740,004761,005260,009113,009116,009119,009122,009124,009127,009132,009133,009136,009138,009142,009145,009146,009148,009149,009150,009153,009155,009156,009157,009159,009160,009161,009162,009163,009164,009167,009168,009169,009170,009172,009175,009176,009177,009178,009179,009180,009184,009185,009192,009204,009208,009211,009213,009225,009226,009228,009229,009244,009245,009395,009396,009399,009414,009416,009666,009669,009675,009676,009678,009680,009681,009682,009683,009684,009685,009687,009688,009691,009693,009695,009697,009699,009700,009701,009702,009704,009705,009706,009707,009715,009718,009725,009726,009860,009861,009864,009865,009866,009867,009869,009870,009871,010000,010430,010444,010445,010446,010447,010449,010450,010457,010458,010459,010460,010461,010464,010465,010466,010467,010468,010470,010471,010472,010473,010474,010475,010479,010480,010481,010482,010483,010484,010485,010486,010487,010490,010491,010492,010493,010508,010706,010709,010710,010713,010715,010716,010718,010720,010721,010723,010725,010728,010729,010731,010733,010734,010735,010736,010737,010739,030099 - -已使用题号: -000188,000189,000207,000212,000300,000331,000364,000749,001597,001611,001620,001628,001636,001641,001645,001649,001659,001670,001695,001712,003454,003466,003875,003982,004539,004696,009137,009144,009158,009181,009183,009186,009202,009210,009686,009690,009694,009696,009716,009868,010435,010454,010510,010531,030111,030112,030143,030144,030145,030147,030148,030149,030150,030151,030161,030164 \ No newline at end of file +9733,9736,10539,10540,10534,10535,10537,10538,9735,10536,218,219,222,223,332,401,654,2662,2664,3585,3660,3787,4647,9349,10544,227,229,512,672,9741,9745,10545,10550,9744 \ No newline at end of file diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb index 4e49673c..c6cf6478 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": 1, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -13,11 +13,9 @@ "题块 1 处理完毕.\n", "正在处理题块 2 .\n", "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/周末卷05_教师_20221020.tex\n", + "开始编译教师版本pdf文件: 临时文件/27_统计初步中的术语_粗选_教师_20221021.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/周末卷05_学生_20221020.tex\n", + "开始编译学生版本pdf文件: 临时文件/27_统计初步中的术语_粗选_学生_20221021.tex\n", "0\n" ] } @@ -30,36 +28,35 @@ "\"\"\"---设置模式结束---\"\"\"\n", "\n", "\"\"\"---设置模板文件名---\"\"\"\n", - "# template_file = \"模板文件/第一轮复习讲义模板.tex\"\n", - "template_file = \"模板文件/测验周末卷模板.tex\"\n", + "template_file = \"模板文件/第一轮复习讲义模板.tex\"\n", + "# template_file = \"模板文件/测验周末卷模板.tex\"\n", "# template_file = \"模板文件/日常选题讲义模板.tex\"\n", "\"\"\"---设置模板文件名结束---\"\"\"\n", "\n", "\"\"\"---设置其他预处理替换命令---\"\"\"\n", "#2023届第一轮讲义更换标题\n", - "# exec_list = [(\"标题数字待处理\",\"24\"),(\"标题文字待处理\",\"体积及表面积的计算\")] \n", - "# enumi_mode = 0\n", + "exec_list = [(\"标题数字待处理\",\"27\"),(\"标题文字待处理\",\"统计初步中的术语\")] \n", + "enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", - "exec_list = [(\"标题替换\",\"周末卷05\")]\n", - "enumi_mode = 1\n", + "# exec_list = [(\"标题替换\",\"周末卷05\")]\n", + "# enumi_mode = 1\n", "\n", - "#日常选题讲义\n", + "# 日常选题讲义\n", "# exec_list = [(\"标题文字待处理\",\"2022年国庆卷(易错题订正)\")] \n", "# enumi_mode = 0\n", "\n", "\"\"\"---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/周末卷05\"\n", + "destination_file = \"临时文件/27_统计初步中的术语_粗选\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"30169,30217,1677,3531,3533,4092,3891,3455\",\n", - "\"1643\",\n", - "\"182,187,298,3495,4180,3500,3462\"\n", + "\"30262,30200,30196,235,30207,236,30212,233,30214,30222,30263,30246,30247,30209,30274,30261,30215,30270\",\n", + "\"30202,30239,30208,30211,30264,30253,30268,30227,30243\"\n", "]\n", "\"\"\"---设置题号数据结束---\"\"\"\n", "\n", diff --git a/工具/题号选题pdf生成.ipynb b/工具/题号选题pdf生成.ipynb index 5669f88b..bdcf9bac 100644 --- a/工具/题号选题pdf生成.ipynb +++ b/工具/题号选题pdf生成.ipynb @@ -2,16 +2,16 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "开始编译教师版本pdf文件: 临时文件/赋能03_教师用_20221020.tex\n", + "开始编译教师版本pdf文件: 临时文件/题库_教师用_20221021.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/赋能03_学生用_20221020.tex\n", + "开始编译学生版本pdf文件: 临时文件/题库_学生用_20221021.tex\n", "0\n" ] } @@ -26,14 +26,13 @@ "\"\"\"---设置题目列表---\"\"\"\n", "#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n", "problems = r\"\"\"\n", - "000346,000347,000348,000349,030071,000351,000352,030072,000354,030073\n", "\n", "\"\"\"\n", "\"\"\"---设置题目列表结束---\"\"\"\n", "\n", "\"\"\"---设置文件名---\"\"\"\n", "#目录和文件的分隔务必用/\n", - "filename = \"临时文件/赋能03\"\n", + "filename = \"临时文件/题库\"\n", "\"\"\"---设置文件名结束---\"\"\"\n", "\n", "\n", diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 465d99b6..43d06ba0 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -4668,7 +4668,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "平行或相交, 证明略", "solution": "", "duration": -1, "usages": [ @@ -4885,7 +4885,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -4908,7 +4908,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -7566,7 +7566,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\pi}6$", "solution": "", "duration": -1, "usages": [ @@ -7645,7 +7645,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $\\arctan \\dfrac{\\sqrt{5}}2$与$\\pi-\\arctan \\dfrac{\\sqrt{5}}2$", "solution": "", "duration": -1, "usages": [], @@ -40849,7 +40849,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $A=3$, $\\omega = 2$, $\\varphi = \\dfrac{5\\pi}3$; (2) $\\varphi = \\dfrac{5\\pi}{3}+2k\\pi, \\ k\\in \\mathbf{Z}$; (3) $(\\omega,\\varphi)=(2,\\dfrac{5\\pi}3)$或$(-2,\\dfrac{4\\pi}3)$; (4) $\\omega = 2$, $(A,\\varphi)=(3,\\dfrac{5\\pi}3)$或$(-3,\\dfrac{2\\pi}3)$", "solution": "", "duration": -1, "usages": [ @@ -41849,7 +41849,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) 证明略", "solution": "", "duration": -1, "usages": [ @@ -41880,7 +41880,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) 异面, 相交; (2) 异面, 异面; (3) 平行, 异面", "solution": "", "duration": -1, "usages": [ @@ -41965,7 +41965,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -42046,7 +42046,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac \\pi 2$; (2) $\\dfrac 45$", "solution": "", "duration": -1, "usages": [ @@ -42174,7 +42174,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $\\dfrac 25$; (2) $\\dfrac{8\\sqrt{85}}{85}$; (3) $\\dfrac 34$", "solution": "", "duration": -1, "usages": [ @@ -42257,7 +42257,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "图及证明略", "solution": "", "duration": -1, "usages": [ @@ -42482,7 +42482,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) 证明略", "solution": "", "duration": -1, "usages": [ @@ -42561,7 +42561,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{4\\sqrt{5}}{5}$", "solution": "", "duration": -1, "usages": [ @@ -42688,7 +42688,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) $\\dfrac{\\sqrt{210}}{15}$", "solution": "", "duration": -1, "usages": [ @@ -42894,7 +42894,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -43023,7 +43023,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac\\pi 4$; (2) $\\dfrac{5\\sqrt{2}}{24}$; (3) $\\dfrac{120\\sqrt{38497}}{38497}$", "solution": "", "duration": -1, "usages": [ @@ -43125,7 +43125,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -43225,7 +43225,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -43467,7 +43467,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac \\pi 6$", "solution": "", "duration": -1, "usages": [ @@ -43667,7 +43667,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{14}}4$", "solution": "", "duration": -1, "usages": [ @@ -43741,7 +43741,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac\\pi 4$与$\\dfrac{3\\pi}4$", "solution": "", "duration": -1, "usages": [ @@ -44403,7 +44403,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{2\\sqrt{57}}{19}$", "solution": "", "duration": -1, "usages": [ @@ -44583,7 +44583,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -48307,7 +48307,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -48552,7 +48552,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$4\\sqrt{13}$", "solution": "", "duration": -1, "usages": [ @@ -48781,7 +48781,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\overrightarrow{m}+3\\overrightarrow{n}$", "solution": "", "duration": -1, "usages": [ @@ -49500,7 +49500,7 @@ "第五单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\pi-\\arccos \\dfrac 18$; (2) $\\sqrt{319}$", "solution": "", "duration": -1, "usages": [ @@ -50535,7 +50535,7 @@ "第五单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -52601,7 +52601,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$0$或$\\pm 1$", "solution": "", "duration": -1, "usages": [ @@ -53069,7 +53069,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\dfrac 45,2)$", "solution": "", "duration": -1, "usages": [ @@ -53140,7 +53140,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -53489,7 +53489,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -53899,7 +53899,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac\\pi 4$或$\\dfrac{3\\pi}{4}$", "solution": "", "duration": -1, "usages": [ @@ -55000,7 +55000,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$10$", "solution": "", "duration": -1, "usages": [ @@ -86340,7 +86340,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$2\\overrightarrow{a}+2\\overrightarrow{b}$", "solution": "", "duration": -1, "usages": [ @@ -88504,7 +88504,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -88764,7 +88764,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{2}", "solution": "", "duration": -1, "usages": [ @@ -89478,7 +89478,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $\\sqrt{2\\sqrt{3}}3$; (2) $\\sqrt{2\\sqrt{3}}3$; (3) $\\sqrt{2\\sqrt{3}}3$; (4) $\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -92593,7 +92593,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [ @@ -94521,7 +94521,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\{2,3,4,5\\}$", "solution": "", "duration": -1, "usages": [ @@ -94550,7 +94550,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -97660,7 +97660,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 14$", "solution": "", "duration": -1, "usages": [ @@ -98414,7 +98414,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -100864,7 +100864,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac \\pi 4$", "solution": "", "duration": -1, "usages": [ @@ -114878,7 +114878,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\arccos \\dfrac{\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [ @@ -119030,7 +119030,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 具有, 不具有; (2) 证明略; (3) $1+2\\sqrt{2}$", "solution": "", "duration": -1, "usages": [ @@ -173059,7 +173059,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [ @@ -173559,7 +173559,7 @@ "第五单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -220065,7 +220065,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $\\times$; (2) $\\times$; (3) $\\times$; (4) $\\times$", "solution": "", "duration": -1, "usages": [ @@ -220226,7 +220226,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -220442,7 +220442,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\arctan 2$; (2) $\\pi - \\arctan\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -220530,7 +220530,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -221026,7 +221026,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [], @@ -221068,7 +221068,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\arccos \\dfrac{\\sqrt{3}}6$", "solution": "", "duration": -1, "usages": [ @@ -221139,7 +221139,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -221338,7 +221338,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "图略", "solution": "", "duration": -1, "usages": [ @@ -231954,7 +231954,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $ACB_1$, $BDD_1B_1$(不唯一); (2) 图略(直线$BD_1$)", "solution": "", "duration": -1, "usages": [ @@ -232004,7 +232004,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "图略", "solution": "", "duration": -1, "usages": [ @@ -232295,7 +232295,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -232387,7 +232387,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -232485,7 +232485,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) 外; (2) 中; (3) 垂", "solution": "", "duration": -1, "usages": [], @@ -232532,7 +232532,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) 证明略", "solution": "", "duration": -1, "usages": [], @@ -232583,7 +232583,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\sqrt{2}a$; (2) $a$; (3) $a$; (4) $a$", "solution": "", "duration": -1, "usages": [], @@ -249333,7 +249333,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -249719,7 +249719,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -249748,7 +249748,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "$5$", "solution": "", "duration": -1, "usages": [ @@ -289823,7 +289823,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(\\dfrac 18,\\dfrac 13]$", "solution": "", "duration": -1, "usages": [ @@ -289934,7 +289934,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) \\checkmark; (2) \\checkmark; (3) \\checkmark", "solution": "", "duration": -1, "usages": [ @@ -290107,7 +290107,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,-2)$", "solution": "", "duration": -1, "usages": [ @@ -290261,7 +290261,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(1,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -290301,7 +290301,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,1)\\cup (1,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -290420,7 +290420,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "图像略, 在$(-\\infty,1]$上是严格增函数; 在$[1,+\\infty)$上是严格减函数, 证明略", "solution": "", "duration": -1, "usages": [ @@ -290459,7 +290459,7 @@ "第二单元" ], "genre": "解答题", - "ans": "证明略", + "ans": "在$[0,+\\infty)$上是严格增函数, 证明略", "solution": "", "duration": -1, "usages": [ @@ -290498,7 +290498,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-4,-2]$", "solution": "", "duration": -1, "usages": [ @@ -290537,7 +290537,7 @@ "第二单元" ], "genre": "解答题", - "ans": "(1) 奇函数, 证明略", + "ans": "奇函数, 证明略", "solution": "", "duration": -1, "usages": [ @@ -290577,7 +290577,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-\\dfrac 1{12},-\\dfrac 1{20}]$", "solution": "", "duration": -1, "usages": [ @@ -290616,7 +290616,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{283}4$, $12\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -290805,7 +290805,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac\\pi 4$", "solution": "", "duration": -1, "usages": [ @@ -290843,7 +290843,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) $-2\\sin \\theta$; (2) $2\\cos\\theta$", "solution": "", "duration": -1, "usages": [ @@ -290880,7 +290880,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "$(-\\dfrac{\\sqrt{2}}2,\\dfrac{7\\sqrt{2}}2)$", "solution": "", "duration": -1, "usages": [ @@ -290957,7 +290957,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "$y=-\\pi x^2+lx, \\ x\\in (0,\\dfrac{l}{2\\pi})$", "solution": "", "duration": -1, "usages": [ @@ -291031,7 +291031,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 5{12}$", "solution": "", "duration": -1, "usages": [ @@ -291068,7 +291068,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\arcsin\\dfrac{3\\sqrt{21}}{14}$或$\\pi-\\arcsin\\dfrac{3\\sqrt{21}}{14}$, $\\dfrac\\pi 3$, $\\arcsin\\dfrac{\\sqrt{3}}3$", "solution": "", "duration": -1, "usages": [ @@ -291105,7 +291105,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-6,-\\dfrac{3\\pi}2]\\cup [-\\dfrac\\pi 2,\\dfrac\\pi 2]\\cup [\\dfrac{3\\pi}2,6)$", "solution": "", "duration": -1, "usages": [ @@ -291142,7 +291142,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "最小值为$-\\dfrac 12$, 最大值为$\\dfrac 32$", "solution": "", "duration": -1, "usages": [ @@ -291179,7 +291179,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "$2-2\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -291216,7 +291216,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "$[\\dfrac\\pi{12}+k\\pi,\\dfrac{7\\pi}{12}+k\\pi], \\ k\\in \\mathbf{Z}$", "solution": "", "duration": -1, "usages": [ @@ -291463,7 +291463,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-\\dfrac 52,\\dfrac 32]$", "solution": "", "duration": -1, "usages": [ @@ -291497,7 +291497,7 @@ ], "tags": [], "genre": "填空题", - "ans": "", + "ans": "(1) $A\\in \\alpha$, $AB\\subset \\alpha$; (2) $C\\not \\in \\beta$, $CD\\cap \\beta = \\varnothing$", "solution": "", "duration": -1, "usages": [ @@ -291522,7 +291522,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) 图略; (2) 图略", "solution": "", "duration": -1, "usages": [ @@ -291566,7 +291566,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -291594,7 +291594,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "图略", "solution": "", "duration": -1, "usages": [ @@ -291619,7 +291619,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -291667,7 +291667,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "两三角形相似, 证明略", "solution": "", "duration": -1, "usages": [ @@ -291694,7 +291694,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若$a\\subset\\alpha$, $B\\cap \\alpha = P$, 且$P\\not\\in a$, 则$a$与$b$是异面直线. 证明略", "solution": "", "duration": -1, "usages": [ @@ -291721,7 +291721,7 @@ ], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(0,\\dfrac\\pi 2]$", "solution": "", "duration": -1, "usages": [ @@ -291748,7 +291748,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若直线$l$上有两点在平面$\\alpha$上, 则直线$l$上的每一点都在平面$\\alpha$上", "solution": "", "duration": -1, "usages": [ @@ -291773,7 +291773,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "过不共线的三点有且仅有一个平面", "solution": "", "duration": -1, "usages": [ @@ -291800,7 +291800,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若两平面有公共点, 则它们的公共部分是(通过该点)的一条直线", "solution": "", "duration": -1, "usages": [ @@ -291827,7 +291827,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若两直线均平行于第三条直线, 那么它们平行", "solution": "", "duration": -1, "usages": [ @@ -291854,7 +291854,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若平面$\\alpha$外的一条直线$l$与平面$\\alpha$上的一条直线$m$平行, 则$l$与平面$\\alpha$平行", "solution": "", "duration": -1, "usages": [ @@ -291881,7 +291881,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若直线$l$平行于平面$\\alpha$, $l$在平面$\\beta$上, 且$\\alpha\\cap \\beta=m$, 则$l$与$m$平行. 证明略", "solution": "", "duration": -1, "usages": [ @@ -291908,7 +291908,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若直线$l$垂直于平面$\\alpha$上的两条相交直线, 则$l\\perp \\alpha$", "solution": "", "duration": -1, "usages": [ @@ -291935,7 +291935,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "垂直于同一平面的两条直线平行. 证明略", "solution": "", "duration": -1, "usages": [ @@ -291962,7 +291962,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若一平面上的两条相交直线都平行与另一平面, 则两平面平行", "solution": "", "duration": -1, "usages": [], @@ -291984,7 +291984,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "一平面与两平行平面的交线平行, 证明略", "solution": "", "duration": -1, "usages": [], @@ -292005,7 +292005,7 @@ ], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若平面$\\alpha$经过平面$\\beta$的垂线, 则$\\alpha\\perp \\beta$", "solution": "", "duration": -1, "usages": [], @@ -292024,7 +292024,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "若$\\alpha\\perp \\beta$, $\\alpha\\cap \\beta=l$, $m\\subset \\alpha$, $m\\perp l$, 则$m\\perp \\beta$. 证明略", "solution": "", "duration": -1, "usages": [], @@ -292264,7 +292264,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$(\\dfrac{5-\\sqrt{21}}2,1)\\cup (1,\\dfrac{5+\\sqrt{21}}2)$", "solution": "", "duration": -1, "usages": [ @@ -292297,7 +292297,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$(\\dfrac 9{25},\\dfrac{12}{25})$", "solution": "", "duration": -1, "usages": [ @@ -292330,7 +292330,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac\\pi 2$", "solution": "", "duration": -1, "usages": [ @@ -292440,7 +292440,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) F; (2) F; (3) T; (4) T; (5) F; (6) F; (7) F; (8) T; (9) F; (10) F", "solution": "", "duration": -1, "usages": [ @@ -292471,7 +292471,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "(1) F; (2) T; (3) F; (4) F; (5) F; (6) T", "solution": "", "duration": -1, "usages": [ @@ -292755,7 +292755,7 @@ }, "030125": { "id": "030125", - "content": "圆柱的任意两条母线\\blank{50}, 两个底面\\blank{50}; 圆台的任意两条母线\\blank{50}, 两个底面\\blank{50}.", + "content": "圆柱的任意两条母线\\blank{50}, 两个底面\\blank{50}; 圆台的任意两条母线所在的直线\\blank{50}, 两个底面\\blank{50}(在空格内填入``平行''``相交''或``异面'').", "objs": [ "K0615007B" ], @@ -293148,7 +293148,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{\\pi}3$; (2) 证明略", "solution": "", "duration": -1, "usages": [], @@ -293172,7 +293172,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -293196,7 +293196,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "平面$ABC\\perp$平面$BCD$, 平面$ABD\\perp$平面$BCD$, 平面$ACD\\perp$平面$ABC$. 证明略", "solution": "", "duration": -1, "usages": [], @@ -293220,7 +293220,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 34$或$-\\dfrac 14$", "solution": "", "duration": -1, "usages": [], @@ -293244,7 +293244,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 真; (2) 如正方体$ABCD-A_1B_1C_1D_1$中, $AB$与$BC$均平行与平面$A_1B_1C_1D_1$, 但它们不平行; (3) 真", "solution": "", "duration": -1, "usages": [ @@ -293276,7 +293276,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 如正方体$ABCD-A_1B_1C_1D_1$中的直线$AB_1$与平面$ABCD$斜交, 但$AB_1\\perp BC$; (2) 真; (3) 真; (4) 如正方体$ABCD-A_1B_1C_1D_1$中, $AB\\parallel$平面$A_1B_1C_1D_1$, 但$AB\\not\\parallel B_1C_1$", "solution": "", "duration": -1, "usages": [ @@ -293306,7 +293306,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $a$不平行与由$a,b$所确定的平面; (2) 如正方体$ABCD-A_1B_1C_1D_1$中, $A_1B_1\\parallel$平面$ABCD$, 但是$AB\\not\\parallel BC$; (3) 如正方体$A_1B_1C_1D_1$中, $A_1B_1$与$B_1C_1$均平行与平面$ABCD$, 但$A_1B_1\\not\\parallel B_1C_1$; (4) 真", "solution": "", "duration": -1, "usages": [], @@ -293330,7 +293330,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 和棱平行的直线就和$\\beta$不垂直; (2) 真; (3) 和棱平行的直线就和$\\beta$不垂直; (4) 直线可以与$\\alpha$相交", "solution": "", "duration": -1, "usages": [], @@ -293354,7 +293354,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 两直线到平面距离不等时, 所在的平面与原平面不平行; (2) 真; (3) 真; (4) 真; (5) 真", "solution": "", "duration": -1, "usages": [], @@ -293425,7 +293425,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,\\dfrac{-11-\\sqrt{55}}6)\\cup (\\dfrac{-11+\\sqrt{55}}6,1)\\cup (1,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -293457,7 +293457,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$2\\pm \\sqrt{2}$或$-1$", "solution": "", "duration": -1, "usages": [ @@ -293492,7 +293492,7 @@ "第五单元" ], "genre": "解答题", - "ans": "", + "ans": "\\textcircled{1}与\\textcircled{3}可能成立, \\textcircled{2}不可能成立. 证明略", "solution": "", "duration": -1, "usages": [ @@ -293524,7 +293524,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$3+4\\mathrm{i}$或$\\dfrac 53+4\\mathrm{i}$", "solution": "", "duration": -1, "usages": [