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 2105d4ff..044247e9 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": 1, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -11,7 +11,7 @@ "0" ] }, - "execution_count": 1, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -21,7 +21,8 @@ "\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\":[\"第五单元\"]}\n", + " {\"content\":[\"柱\",\"锥\",\"球\",\"台\"], \"content_not\":[\"体积\",\"表面积\",\"侧面积\"], \"tags\":[\"第六单元\",\"\"]},\n", + " {\"objs\":[\"K0615\",\"K0618\",\"K0621\",\"K0622\"]}\n", "]\n", "\"\"\"---关键字设置完毕---\"\"\"\n", "# 示例： keywords_dict_table = [\n", @@ -75,6 +76,91 @@ "os.system(\"code \"+filename)" ] }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "condition1 = {\"content\":[\"柱\",\"锥\",\"球\",\"台\"], \"content_not\":[\"体积\",\"表面积\",\"侧面积\"], \"tags\":[\"第六单元\",\"\"]}" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'content': ['柱', '锥', '球', '台'],\n", + " 'content_not': ['体积', '表面积', '侧面积'],\n", + " 'tags': ['第六单元']}" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "condition1" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "match_condition(pro_dict[\"030140\"],condition1)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'id': '030140',\n", + " 'content': '如果平行于一个正棱锥底面的截面面积是底面面积的$\\\\dfrac 12$, 那么截面截一条侧棱所得两条线段的比是\\\\blank{50}.',\n", + " 'objs': [],\n", + " 'tags': [],\n", + " 'genre': '',\n", + " 'ans': '',\n", + " 'solution': '',\n", + " 'duration': -1,\n", + " 'usages': [],\n", + " 'origin': '人教B版教材例题与习题',\n", + " 'edit': ['20221010\\t王伟叶'],\n", + " 'same': [],\n", + " 'related': [],\n", + " 'remark': '',\n", + " 'space': ''}" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pro_dict[\"030140\"]" + ] + }, { "cell_type": "code", "execution_count": null, diff --git a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb index 952c8cd9..54b03a24 100644 --- a/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb +++ b/工具/分年级专用工具/小闲平台作业测验数据导入.ipynb @@ -97,7 +97,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -111,12 +111,12 @@ "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/分年级专用工具/讲义题目分类按顺序梳理_制答题卡用.ipynb b/工具/分年级专用工具/讲义题目分类按顺序梳理_制答题卡用.ipynb index 75df7a52..9bc3ef85 100644 --- a/工具/分年级专用工具/讲义题目分类按顺序梳理_制答题卡用.ipynb +++ b/工具/分年级专用工具/讲义题目分类按顺序梳理_制答题卡用.ipynb @@ -2,50 +2,52 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1 填空题 1\n", - "2 解答题 5\n", - "3 解答题 2\n", - "4 填空题 1\n", - "5 填空题 1\n", - "6 填空题 1\n", - "7 解答题 4\n", + "1 解答题 1\n", + "2 解答题 1\n", + "3 解答题 1\n", + "4 解答题 1\n", + "5 填空题 2\n", + "6 解答题 2\n", + "7 填空题 10\n", "8 解答题 1\n", - "9 选择题 2\n", - "10 填空题 1\n", + "9 解答题 1\n", + "10 解答题 1\n", "11 解答题 1\n", "12 解答题 1\n", - "13 填空题 1\n", + "13 填空题 6\n", "14 解答题 1\n", - "15 解答题 2\n", + "15 填空题 1\n", "16 解答题 1\n", - "1 填空题 1\n", - "2 填空题 1\n", - "3 填空题 1\n", + "17 填空题 3\n", + "18 填空题 1\n", + "19 填空题 1\n", + "1 解答题 2\n", + "2 解答题 1\n", + "3 填空题 6\n", "4 填空题 1\n", - "5 填空题 1\n", - "6 填空题 1\n", - "7 填空题 1\n", - "8 填空题 1\n", + "5 选择题 1\n", + "6 选择题 1\n", + "7 填空题 2\n", + "8 解答题 1\n", "9 解答题 1\n", - "10 填空题 1\n", - "11 填空题 1\n", - "12 选择题 1\n", - "13 解答题 1\n", - "14 解答题 3\n" + "10 解答题 1\n", + "11 解答题 1\n", + "12 解答题 2\n", + "13 解答题 1\n" ] } ], "source": [ "import os,re\n", "#修改文件名\n", - "filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\18_复数的代数运算与性质.tex\"\n", + "filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\\20_描述空间位置关系的公理.tex\"\n", "# filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\23届\\上学期周末卷\\国庆卷.tex\"\n", "outputfile = \"临时文件/题目状态.txt\"\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 34655be6..0220a816 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 @@ -2,493 +2,193 @@ "cells": [ { "cell_type": "code", - "execution_count": 7, + "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "题号: 030033 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t1.000\t0.706\t0.971\n", - "题号: 030030 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.882\n", - "题号: 030032 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.853\n", - "题号: 030031 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.912\n", - "题号: 030029 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.882\n", - "题号: 030034 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.912\n", - "题号: 030076 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.941\n", - "题号: 030036 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.912\n", - "题号: 030037 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.794\n", - "题号: 030039 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.794\n", - "题号: 030044 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.735\n", - "题号: 030038 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.853\n", - "题号: 030040 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.676\n", - "题号: 030041 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.294\n", - "题号: 030045 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.912\n", - "题号: 030042 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.794\n", - "题号: 030048 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.500\n", - "题号: 030046 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.647\n", - "题号: 030047 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.559\n", - "题号: 030051 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.853\t0.676\n", - "题号: 030043 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.353\n", - "题号: 030052 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.765\n", - "题号: 030050 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.706\n", - "题号: 030049 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.529\n", - "题号: 030053 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.647\n", - "题号: 030054 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.706\n", - "题号: 030055 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.676\n", - "题号: 030059 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.735\n", - "题号: 030058 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.647\n", - "题号: 030056 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.882\n", - "题号: 030057 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.794\t0.824\n", - "题号: 030060 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.588\n", - "题号: 030061 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.735\n", - "题号: 030063 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.500\t1.000\t0.794\n", - "题号: 030062 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.559\n", - "题号: 030065 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.824\n", - "题号: 030067 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.706\n", - "题号: 030066 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.794\n", - "题号: 030064 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.706\n", - "题号: 030068 , 字段: usages 中已添加数据: 20221009\t2023届高三10班\t0.559\n", - "题号: 030033 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t1.000\t0.850\t1.000\n", - "题号: 030030 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.700\n", - "题号: 030032 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.500\n", - "题号: 030031 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.950\n", - "题号: 030029 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.900\n", - "题号: 030034 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.500\n", - "题号: 030076 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.850\n", - "题号: 030036 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.750\n", - "题号: 030037 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.850\n", - "题号: 030039 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.750\n", - "题号: 030044 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.750\n", - "题号: 030038 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.900\n", - "题号: 030040 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.700\n", - "题号: 030041 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.350\n", - "题号: 030045 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.750\n", - "题号: 030042 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.950\n", - "题号: 030048 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.450\n", - "题号: 030046 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.500\n", - "题号: 030047 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.150\n", - "题号: 030051 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.800\t0.650\n", - "题号: 030043 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.200\n", - "题号: 030052 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.950\n", - "题号: 030050 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.600\n", - "题号: 030049 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.600\n", - "题号: 030053 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.350\n", - "题号: 030054 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.700\n", - "题号: 030055 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.400\n", - "题号: 030059 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.400\n", - "题号: 030058 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.800\n", - "题号: 030056 , 字段: usages 中已添加数据: 20221009\t2023届高三11班\t0.850\n", - 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中已添加数据: 20221009\t2023届高三12班\t0.714\n", - "题号: 030034 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.619\n", - "题号: 030076 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.809\n", - "题号: 030036 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.905\n", - "题号: 030037 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.857\n", - "题号: 030039 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.762\n", - "题号: 030044 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.809\n", - "题号: 030038 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.857\n", - "题号: 030040 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.809\n", - "题号: 030041 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.429\n", - "题号: 030045 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.571\n", - "题号: 030042 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.762\n", - "题号: 030048 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.476\n", - "题号: 030046 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.619\n", - "题号: 030047 , 字段: usages 中已添加数据: 20221009\t2023届高三12班\t0.429\n", - "题号: 030051 , 字段: 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"题号: 003341 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.897\t0.949\n", + "题号: 001892 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.462\n", + "题号: 001896 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.308\n", + "题号: 001898 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.897\n", + "题号: 001916 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.974\t0.590\n", + "题号: 001905 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.538\n", + "题号: 001902 , 字段: usages 中已添加数据: 20221010\t2023届高三05班\t0.872\n", + "题号: 000481 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.947\n", + "题号: 003347 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.368\t0.500\n", + "题号: 003330 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.763\t0.868\n", + "题号: 000153 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.895\n", + "题号: 003356 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.737\n", + "题号: 000414 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.895\n", + "题号: 001882 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.921\n", + "题号: 000141 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.842\n", + "题号: 003341 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.553\t0.868\n", + "题号: 001892 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.579\n", + "题号: 001896 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.816\n", + "题号: 001898 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.974\n", + "题号: 001916 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.974\t0.711\n", + "题号: 001905 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.395\n", + "题号: 001902 , 字段: usages 中已添加数据: 20221010\t2023届高三06班\t0.895\n", + "题号: 000481 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.962\n", + "题号: 003347 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.654\t0.308\n", + "题号: 003330 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.923\t0.808\n", + "题号: 000153 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.962\n", + "题号: 003356 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.615\n", + "题号: 000414 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.769\n", + "题号: 001882 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.769\n", + "题号: 000141 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.769\n", + "题号: 003341 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.538\t0.923\n", + "题号: 001892 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.615\n", + "题号: 001896 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.692\n", + "题号: 001898 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.846\n", + "题号: 001916 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t1.000\t0.654\n", + "题号: 001905 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.462\n", + "题号: 001902 , 字段: usages 中已添加数据: 20221010\t2023届高三07班\t0.769\n", + "题号: 000481 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.963\n", + "题号: 003347 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.481\t0.185\n", + "题号: 003330 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.815\t0.778\n", + "题号: 000153 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.889\n", + "题号: 003356 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.704\n", + "题号: 000414 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.852\n", + "题号: 001882 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.963\n", + "题号: 000141 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.815\n", + "题号: 003341 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.667\t0.852\n", + "题号: 001892 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.518\n", + "题号: 001896 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.704\n", + "题号: 001898 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.926\n", + "题号: 001916 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.889\t0.741\n", + "题号: 001905 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.370\n", + "题号: 001902 , 字段: usages 中已添加数据: 20221010\t2023届高三08班\t0.852\n", + "题号: 000481 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.964\n", + "题号: 003347 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.536\t0.321\n", + "题号: 003330 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.643\t0.714\n", + "题号: 000153 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.964\n", + "题号: 003356 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.643\n", + "题号: 000414 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.964\n", + "题号: 001882 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.714\n", + "题号: 000141 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.821\n", + "题号: 003341 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.607\t0.929\n", + "题号: 001892 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.679\n", + "题号: 001896 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.571\n", + "题号: 001898 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.857\n", + "题号: 001916 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.964\t0.607\n", + "题号: 001905 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.321\n", + "题号: 001902 , 字段: usages 中已添加数据: 20221010\t2023届高三09班\t0.857\n" ] } ], @@ -586,7 +286,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -600,12 +300,12 @@ "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/模板文件/日常选题讲义模板.tex b/工具/模板文件/日常选题讲义模板.tex index 1e38f089..45ca0db0 100644 --- a/工具/模板文件/日常选题讲义模板.tex +++ b/工具/模板文件/日常选题讲义模板.tex @@ -33,24 +33,24 @@ number=\chinese{section}, \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} diff --git a/工具/模板文件/测验周末卷模板.tex b/工具/模板文件/测验周末卷模板.tex index 4ec8e640..bccee5e8 100644 --- a/工具/模板文件/测验周末卷模板.tex +++ b/工具/模板文件/测验周末卷模板.tex @@ -33,24 +33,24 @@ number=\chinese{section}, \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} diff --git a/工具/模板文件/第一轮复习讲义模板.tex b/工具/模板文件/第一轮复习讲义模板.tex index da8883e7..5813b0eb 100644 --- a/工具/模板文件/第一轮复习讲义模板.tex +++ b/工具/模板文件/第一轮复习讲义模板.tex @@ -33,24 +33,24 @@ number=\chinese{section}, \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} diff --git a/工具/模板文件/课时划分.tex b/工具/模板文件/课时划分.tex index 43f0531e..a025a8e5 100644 --- a/工具/模板文件/课时划分.tex +++ b/工具/模板文件/课时划分.tex @@ -21,24 +21,24 @@ \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} diff --git a/工具/模板文件/课时目标及单元目标.tex b/工具/模板文件/课时目标及单元目标.tex index d134c7ae..37b31e8d 100644 --- a/工具/模板文件/课时目标及单元目标.tex +++ b/工具/模板文件/课时目标及单元目标.tex @@ -19,29 +19,29 @@ \renewcommand{\baselinestretch}{2} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} -\begin{longtable}{|p{.15\textwidth}|p{.15\textwidth}|p{.65\textwidth}|} +\begin{longtable}{|p{.15\linewidth}|p{.15\linewidth}|p{.65\linewidth}|} \hline 课时目标 & 对应单元目标 & 目标内容 \\ \hline 课时目标待替换 @@ -50,7 +50,7 @@ A.~#1 &B.~#2& C.~#3& D.~#4 \newpage -\begin{longtable}{|p{.15\textwidth}|p{.75\textwidth}|} +\begin{longtable}{|p{.15\linewidth}|p{.75\linewidth}|} \hline 单元目标 & 目标内容 \\ \hline 单元目标待替换 diff --git a/工具/模板文件/题目清单.tex b/工具/模板文件/题目清单.tex index bf1ef353..4a0f3bdd 100644 --- a/工具/模板文件/题目清单.tex +++ b/工具/模板文件/题目清单.tex @@ -21,24 +21,24 @@ \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} diff --git a/工具/模板文件/题目编辑.tex b/工具/模板文件/题目编辑.tex index 999ebc17..d6bff5df 100644 --- a/工具/模板文件/题目编辑.tex +++ b/工具/模板文件/题目编辑.tex @@ -22,24 +22,24 @@ \newtheorem{prop}{性质~} \newcommand{\blank}[1]{\underline{\hbox to #1pt{}}} \newcommand{\bracket}[1]{(\hbox to #1pt{})} -\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\textwidth}} +\newcommand{\onech}[4]{\par\begin{tabular}{p{.9\linewidth}} A.~#1\\ B.~#2\\ C.~#3\\ D.~#4 \end{tabular}} -\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\twoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} A.~#1& B.~#2\\ C.~#3& D.~#4 \end{tabular}} -\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\textwidth}p{.46\textwidth}} +\newcommand{\vartwoch}[4]{\par\begin{tabular}{p{.46\linewidth}p{.46\linewidth}} (1)~#1& (2)~#2\\ (3)~#3& (4)~#4 \end{tabular}} -\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\fourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} A.~#1 &B.~#2& C.~#3& D.~#4 \end{tabular}} -\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}p{.23\textwidth}} +\newcommand{\varfourch}[4]{\par\begin{tabular}{p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}p{.23\linewidth}} (1)~#1 &(2)~#2& (3)~#3& (4)~#4 \end{tabular}} \begin{document} diff --git a/工具/添加关联题目.ipynb b/工具/添加关联题目.ipynb index 39c998b3..4ee73481 100644 --- a/工具/添加关联题目.ipynb +++ b/工具/添加关联题目.ipynb @@ -9,8 +9,8 @@ "import os,re,json,time\n", "\n", "\"\"\"---设置原题目id与新题目id---\"\"\"\n", - "old_id = \"3541\"\n", - "new_id = \"30110\"\n", + "old_id = \"1598\"\n", + "new_id = \"30112\"\n", "\"\"\"---设置完毕---\"\"\"\n", "\n", "old_id = old_id.zfill(6)\n", diff --git a/工具/添加题目到数据库.ipynb b/工具/添加题目到数据库.ipynb index 52c21328..7a35222d 100644 --- a/工具/添加题目到数据库.ipynb +++ b/工具/添加题目到数据库.ipynb @@ -2,20 +2,20 @@ "cells": [ { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "#修改起始id,出处,文件名\n", - "starting_id = 30105\n", - "origin = \"2005年上海秋考理科试题21\"\n", - "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\自拟题目1.tex\"\n", - "editor = \"20221003\\t王伟叶\"" + "starting_id = 30113\n", + "origin = \"人教B版教材例题与习题\"\n", + "filename = r\"C:\\Users\\Wang Weiye\\Documents\\wwy sync\\临时工作区\\自拟题目1.tex\"\n", + "editor = \"20221010\\t王伟叶\"" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -100,7 +100,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -114,12 +114,12 @@ "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/讲义生成.ipynb b/工具/讲义生成.ipynb index f9a94f77..9b36b4ca 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": 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/测验03_教师_20221009.tex\n", + "开始编译教师版本pdf文件: 临时文件/周末卷04_教师_20221010.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/测验03_学生_20221009.tex\n", + "开始编译学生版本pdf文件: 临时文件/周末卷04_学生_20221010.tex\n", "0\n" ] } @@ -37,11 +37,11 @@ "\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\",\"18\"),(\"标题文字待处理\",\"复数的代数运算与性质\")] \n", + "# exec_list = [(\"标题数字待处理\",\"20\"),(\"标题文字待处理\",\"描述空间位置关系的公理\")] \n", "# enumi_mode = 0\n", "\n", "#2023届测验卷与周末卷\n", - "exec_list = [(\"标题替换\",\"测验03\")]\n", + "exec_list = [(\"标题替换\",\"周末卷04\")]\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/测验03\"\n", + "destination_file = \"临时文件/周末卷04\"\n", "\"\"\"---设置目标文件名结束---\"\"\"\n", "\n", "\n", "\"\"\"---设置题号数据---\"\"\"\n", "problems = [\n", - "\"5888,4248,5943,30104,30102,30101,4322\",\n", - "\"6346,5993,6061\",\n", - "\"3627,30103\"\n", + "\"1853,30108,3355,655,724,1860,2038,30106,30107,3621\",\n", + "\"1846,2013,3703\",\n", + "\"1557,4702\"\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 2289d638..ac4cacc4 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": 1, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "开始编译教师版本pdf文件: 临时文件/测试_教师用_20221009.tex\n", + "开始编译教师版本pdf文件: 临时文件/多面体与旋转体选题_教师用_20221010.tex\n", "0\n", - "开始编译学生版本pdf文件: 临时文件/测试_学生用_20221009.tex\n", + "开始编译学生版本pdf文件: 临时文件/多面体与旋转体选题_学生用_20221010.tex\n", "0\n" ] } @@ -26,14 +26,14 @@ "\"\"\"---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", - "2026\n", + "a\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/测试\"\n", + "filename = \"临时文件/多面体与旋转体选题\"\n", "\"\"\"---设置文件名结束---\"\"\"\n", "\n", "\n", @@ -90,6 +90,7 @@ "elif problems.strip()[0] == \"a\":\n", " with open(\"临时文件/题号筛选.txt\",\"r\",encoding = \"utf8\") as f:\n", " problems = f.read()\n", + " problem_list = [id for id in generate_number_set(problems.strip(),pro_dict) if id in pro_dict]\n", "else:\n", " problem_list = [id for id in generate_number_set(problems.strip(),pro_dict) if id in pro_dict]\n", "\n", diff --git a/文本处理工具/剪贴板文本整理_word文件.ipynb b/文本处理工具/剪贴板文本整理_word文件.ipynb index 5b389eb6..871305a0 100644 --- a/文本处理工具/剪贴板文本整理_word文件.ipynb +++ b/文本处理工具/剪贴板文本整理_word文件.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -480,7 +480,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -494,12 +494,12 @@ "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/题库0.3/Problems.json b/题库0.3/Problems.json index f18c66b4..6cc5e4fe 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -3571,7 +3571,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221010\t2023届高三10班\t0.800", + "20221010\t2023届高三11班\t0.800", + "20221010\t2023届高三12班\t0.773", + "20221010\t2023届高三01班\t0.692", + "20221010\t2023届高三02班\t0.833", + "20221010\t2023届高三04班\t0.800", + "20221010\t2023届高三03班\t0.741", + "20221010\t2023届高三05班\t0.821", + "20221010\t2023届高三06班\t0.842", + "20221010\t2023届高三07班\t0.769", + "20221010\t2023届高三08班\t0.815", + "20221010\t2023届高三09班\t0.821" + ], "origin": "教材复习题", "edit": [ "20220624\t王伟叶, 余利成" @@ -3875,7 +3888,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221010\t2023届高三10班\t0.829", + "20221010\t2023届高三11班\t0.900", + "20221010\t2023届高三12班\t0.955", + "20221010\t2023届高三01班\t0.962", + "20221010\t2023届高三02班\t0.900", + "20221010\t2023届高三04班\t0.800", + "20221010\t2023届高三03班\t0.889", + "20221010\t2023届高三05班\t0.923", + "20221010\t2023届高三06班\t0.895", + "20221010\t2023届高三07班\t0.962", + "20221010\t2023届高三08班\t0.889", + "20221010\t2023届高三09班\t0.964" + ], "origin": "教材复习题", "edit": [ "20220624\t王伟叶, 余利成" @@ -10366,7 +10392,19 @@ "solution": "", "duration": -1, "usages": [ - "20220105\t2022届高三01班\t0.949" + "20220105\t2022届高三01班\t0.949", + "20221010\t2023届高三10班\t0.914", + "20221010\t2023届高三11班\t0.850", + "20221010\t2023届高三12班\t0.864", + "20221010\t2023届高三01班\t0.885", + "20221010\t2023届高三02班\t0.833", + "20221010\t2023届高三04班\t0.800", + "20221010\t2023届高三03班\t1.000", + "20221010\t2023届高三05班\t0.923", + "20221010\t2023届高三06班\t0.895", + "20221010\t2023届高三07班\t0.769", + "20221010\t2023届高三08班\t0.852", + "20221010\t2023届高三09班\t0.964" ], "origin": "赋能练习", "edit": [ @@ -12093,7 +12131,19 @@ "solution": "", "duration": -1, "usages": [ - "20220224\t2022届高三01班\t0.977" + "20220224\t2022届高三01班\t0.977", + "20221010\t2023届高三10班\t0.943", + "20221010\t2023届高三11班\t1.000", + "20221010\t2023届高三12班\t0.909", + "20221010\t2023届高三01班\t0.885", + "20221010\t2023届高三02班\t0.933", + "20221010\t2023届高三04班\t1.000", + "20221010\t2023届高三03班\t1.000", + "20221010\t2023届高三05班\t0.923", + "20221010\t2023届高三06班\t0.947", + "20221010\t2023届高三07班\t0.962", + "20221010\t2023届高三08班\t0.963", + "20221010\t2023届高三09班\t0.964" ], "origin": "赋能练习", "edit": [ @@ -41067,7 +41117,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030111" + ], "remark": "", "space": "" }, @@ -41101,7 +41153,7 @@ }, "001597": { "id": "001597", - "content": "指出图中正方体各线段所在直线的位置关系(相交, 平行或异面):\n\\begin{center}\n\\begin{tikzpicture}\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C'$} coordinate (C1)\n --++ (-3,0) node [above left] {$D'$} coordinate (D1) --++ (225:{3/2}) node [left] {$A'$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B'$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (D1) -- (B) (A1) -- (C);\n \\draw (C) -- (B1) (A1) -- (C1);\n\\end{tikzpicture}\n\\end{center}\n\\begin{enumerate}[\\blank{50}(1)]\n\\item $AB$和$CC'$;\\\\ \n\\item $A'C$和$BD'$;\\\\ \n\\item $AA'$和$CB'$;\\\\ \n\\item $A'C'$和$CB'$;\\\\ \n\\item $A'B'$和$DC$;\\\\ \n\\item $BD'$和$DC$.\\\\ \n\\end{enumerate}", + "content": "指出图中正方体各线段所在直线的位置关系(相交, 平行或异面):\n\\begin{center}\n\\begin{tikzpicture}[scale = 0.5]\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C'$} coordinate (C1)\n --++ (-3,0) node [above left] {$D'$} coordinate (D1) --++ (225:{3/2}) node [left] {$A'$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B'$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (D1) -- (B) (A1) -- (C);\n \\draw (C) -- (B1) (A1) -- (C1);\n\\end{tikzpicture}\n\\end{center}\n(1) $AB$和$CC'$\\blank{20};\n(2) $A'C$和$BD'$\\blank{20};\n(3) $AA'$和$CB'$\\blank{20};\n(4) $A'C'$和$CB'$\\blank{20};\n(5) $A'B'$和$DC$\\blank{20};\n(6) $BD'$和$DC$\\blank{20}.", "objs": [ "K0606001B" ], @@ -41149,7 +41201,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "030112" + ], "remark": "", "space": "" }, @@ -41255,7 +41309,7 @@ }, "001603": { "id": "001603", - "content": "如图, 在正方体$ABCD-A_1B_1C_1D_1$中, $E,F$分别是棱$A_1B_1$和棱$B_1C_1$的中点.\\\\ \n(1) 求异面直线$A_1D$和$BC_1$所成角的大小;\\\\ \n(2) 求异面直线$BE$和$CF$所成角的余弦值.\n\\begin{center}\n\\begin{tikzpicture}\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C_1$} coordinate (C1)\n --++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (A1) -- (D);\n \\draw (C1) -- (B) -- ($(A1)!0.5!(B1)$) node [above] {$E$};\n \\draw (C) -- ($(C1)!0.5!(B1)$) node [above left] {$F$};\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 在正方体$ABCD-A_1B_1C_1D_1$中, $E,F$分别是棱$A_1B_1$和棱$B_1C_1$的中点.\\\\ \n(1) 求异面直线$A_1D$和$BC_1$所成角的大小;\\\\ \n(2) 求异面直线$BE$和$CF$所成角的余弦值.\n\\begin{center}\n\\begin{tikzpicture}[scale = 0.6]\n \\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n --++ (0,3) node [above right] {$C_1$} coordinate (C1)\n --++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n \\draw (A) ++ (3,3) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n \\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,3);\n \\draw [dashed] (A1) -- (D);\n \\draw (C1) -- (B) -- ($(A1)!0.5!(B1)$) node [above] {$E$};\n \\draw (C) -- ($(C1)!0.5!(B1)$) node [above left] {$F$};\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0607004B" ], @@ -48214,7 +48268,19 @@ "duration": -1, "usages": [ "2016届11班\t0.949", - "2016届12班\t0.921" + "2016届12班\t0.921", + "20221010\t2023届高三10班\t0.429", + "20221010\t2023届高三11班\t0.800", + "20221010\t2023届高三12班\t0.591", + "20221010\t2023届高三01班\t0.962", + "20221010\t2023届高三02班\t0.800", + "20221010\t2023届高三04班\t1.000", + "20221010\t2023届高三03班\t0.778", + "20221010\t2023届高三05班\t0.897", + "20221010\t2023届高三06班\t0.921", + "20221010\t2023届高三07班\t0.769", + "20221010\t2023届高三08班\t0.963", + "20221010\t2023届高三09班\t0.714" ], "origin": "2016届创新班作业\t3118-向量的数量积[1]", "edit": [ @@ -48502,7 +48568,19 @@ "duration": -1, "usages": [ "2016届11班\t0.564", - "2016届12班\t0.579" + "2016届12班\t0.579", + "20221010\t2023届高三10班\t0.543", + "20221010\t2023届高三11班\t0.800", + "20221010\t2023届高三12班\t0.727", + "20221010\t2023届高三01班\t0.615", + "20221010\t2023届高三02班\t0.467", + "20221010\t2023届高三04班\t0.367", + "20221010\t2023届高三03班\t0.667", + "20221010\t2023届高三05班\t0.462", + "20221010\t2023届高三06班\t0.579", + "20221010\t2023届高三07班\t0.615", + "20221010\t2023届高三08班\t0.518", + "20221010\t2023届高三09班\t0.679" ], "origin": "2016届创新班作业\t3119-向量的数量积[2]", "edit": [ @@ -48618,7 +48696,19 @@ "duration": -1, "usages": [ "2016届11班\t0.538", - "2016届12班\t0.658" + "2016届12班\t0.658", + "20221010\t2023届高三10班\t0.029", + "20221010\t2023届高三11班\t0.650", + "20221010\t2023届高三12班\t0.909", + "20221010\t2023届高三01班\t0.885", + "20221010\t2023届高三02班\t0.733", + "20221010\t2023届高三04班\t0.633", + "20221010\t2023届高三03班\t0.111", + "20221010\t2023届高三05班\t0.308", + "20221010\t2023届高三06班\t0.816", + "20221010\t2023届高三07班\t0.692", + "20221010\t2023届高三08班\t0.704", + "20221010\t2023届高三09班\t0.571" ], "origin": "2016届创新班作业\t3119-向量的数量积[2]", "edit": [ @@ -48672,7 +48762,19 @@ "duration": -1, "usages": [ "2016届11班\t0.769", - "2016届12班\t0.816" + "2016届12班\t0.816", + "20221010\t2023届高三10班\t0.914", + "20221010\t2023届高三11班\t0.850", + "20221010\t2023届高三12班\t0.955", + "20221010\t2023届高三01班\t0.923", + "20221010\t2023届高三02班\t0.867", + "20221010\t2023届高三04班\t0.900", + "20221010\t2023届高三03班\t0.889", + "20221010\t2023届高三05班\t0.897", + "20221010\t2023届高三06班\t0.974", + "20221010\t2023届高三07班\t0.846", + "20221010\t2023届高三08班\t0.926", + "20221010\t2023届高三09班\t0.857" ], "origin": "2016届创新班作业\t3119-向量的数量积[2]", "edit": [ @@ -48779,7 +48881,19 @@ "duration": -1, "usages": [ "2016届11班\t0.744", - "2016届12班\t0.789" + "2016届12班\t0.789", + "20221010\t2023届高三10班\t0.886", + "20221010\t2023届高三11班\t0.700", + "20221010\t2023届高三12班\t0.864", + "20221010\t2023届高三01班\t0.808", + "20221010\t2023届高三02班\t0.800", + "20221010\t2023届高三04班\t0.967", + "20221010\t2023届高三03班\t0.963", + "20221010\t2023届高三05班\t0.872", + "20221010\t2023届高三06班\t0.895", + "20221010\t2023届高三07班\t0.769", + "20221010\t2023届高三08班\t0.852", + "20221010\t2023届高三09班\t0.857" ], "origin": "2016届创新班作业\t3120-向量的应用[1]", "edit": [ @@ -48857,7 +48971,19 @@ "duration": -1, "usages": [ "2016届11班\t0.564", - "2016届12班\t0.789" + "2016届12班\t0.789", + "20221010\t2023届高三10班\t0.429", + "20221010\t2023届高三11班\t0.350", + "20221010\t2023届高三12班\t0.409", + "20221010\t2023届高三01班\t0.462", + "20221010\t2023届高三02班\t0.467", + "20221010\t2023届高三04班\t0.500", + "20221010\t2023届高三03班\t0.667", + "20221010\t2023届高三05班\t0.538", + "20221010\t2023届高三06班\t0.395", + "20221010\t2023届高三07班\t0.462", + "20221010\t2023届高三08班\t0.370", + "20221010\t2023届高三09班\t0.321" ], "origin": "2016届创新班作业\t3120-向量的应用[1]", "edit": [ @@ -48986,7 +49112,7 @@ }, "001910": { "id": "001910", - "content": "已知$\\overrightarrow{a}=(1,-2),\\overrightarrow{b}=(2,3),\\overrightarrow{c}=(1,1)$, 将$\\overrightarrow{a}$表示为$\\overrightarrow{b_1}+\\overrightarrow{c_1}$的形式,\n其中$\\overrightarrow{b_1},\\overrightarrow{c_1}$分别为$\\overrightarrow{b},\\overrightarrow{c}$的单位向量, 结果为$\\overrightarrow{a}=$\\blank{30}$\\overrightarrow{b_1}+$\\blank{30}$\\overrightarrow{c_1}$.", + "content": "已知$\\overrightarrow{a}=(1,-2),\\overrightarrow{b}=(2,3),\\overrightarrow{c}=(1,1)$, 将$\\overrightarrow{a}$表示为$\\overrightarrow{b_1},\\overrightarrow{c_1}$的线性组合, 其中$\\overrightarrow{b_1},\\overrightarrow{c_1}$分别为$\\overrightarrow{b},\\overrightarrow{c}$的单位向量, 结果为$\\overrightarrow{a}=$\\blank{30}$\\overrightarrow{b_1}+$\\blank{30}$\\overrightarrow{c_1}$.", "objs": [ "K0506003B" ], @@ -49162,7 +49288,19 @@ "duration": -1, "usages": [ "2016届11班\t0.923\t0.564", - "2016届12班\t0.947\t0.737" + "2016届12班\t0.947\t0.737", + "20221010\t2023届高三10班\t0.943\t0.457", + "20221010\t2023届高三11班\t0.900\t0.650", + "20221010\t2023届高三12班\t1.000\t0.636", + "20221010\t2023届高三01班\t0.962\t0.462", + "20221010\t2023届高三02班\t0.967\t0.800", + "20221010\t2023届高三04班\t0.933\t0.633", + "20221010\t2023届高三03班\t0.889\t0.593", + "20221010\t2023届高三05班\t0.974\t0.590", + "20221010\t2023届高三06班\t0.974\t0.711", + "20221010\t2023届高三07班\t1.000\t0.654", + "20221010\t2023届高三08班\t0.889\t0.741", + "20221010\t2023届高三09班\t0.964\t0.607" ], "origin": "2016届创新班作业\t3121-向量的应用[2]", "edit": [ @@ -83599,7 +83737,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221010\t2023届高三10班\t0.771\t0.743", + "20221010\t2023届高三11班\t0.800\t0.750", + "20221010\t2023届高三12班\t0.864\t0.591", + "20221010\t2023届高三01班\t0.885\t0.769", + "20221010\t2023届高三02班\t0.767\t0.867", + "20221010\t2023届高三04班\t0.800\t0.733", + "20221010\t2023届高三03班\t0.815\t0.926", + "20221010\t2023届高三05班\t0.846\t0.769", + "20221010\t2023届高三06班\t0.763\t0.868", + "20221010\t2023届高三07班\t0.923\t0.808", + "20221010\t2023届高三08班\t0.815\t0.778", + "20221010\t2023届高三09班\t0.643\t0.714" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -83867,7 +84018,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221010\t2023届高三10班\t0.600\t0.914", + "20221010\t2023届高三11班\t0.550\t0.950", + "20221010\t2023届高三12班\t0.727\t0.909", + "20221010\t2023届高三01班\t0.769\t0.962", + "20221010\t2023届高三02班\t0.867\t0.900", + "20221010\t2023届高三04班\t0.833\t0.967", + "20221010\t2023届高三03班\t0.926\t0.926", + "20221010\t2023届高三05班\t0.897\t0.949", + "20221010\t2023届高三06班\t0.553\t0.868", + "20221010\t2023届高三07班\t0.538\t0.923", + "20221010\t2023届高三08班\t0.667\t0.852", + "20221010\t2023届高三09班\t0.607\t0.929" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -84036,7 +84200,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221010\t2023届高三10班\t0.457\t0.171", + "20221010\t2023届高三11班\t0.350\t0.000", + "20221010\t2023届高三12班\t0.500\t0.227", + "20221010\t2023届高三01班\t0.538\t0.692", + "20221010\t2023届高三02班\t0.633\t0.433", + "20221010\t2023届高三04班\t0.500\t0.467", + "20221010\t2023届高三03班\t0.407\t0.556", + "20221010\t2023届高三05班\t0.333\t0.462", + "20221010\t2023届高三06班\t0.368\t0.500", + "20221010\t2023届高三07班\t0.654\t0.308", + "20221010\t2023届高三08班\t0.481\t0.185", + "20221010\t2023届高三09班\t0.536\t0.321" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -84248,7 +84425,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221010\t2023届高三10班\t0.886", + "20221010\t2023届高三11班\t0.700", + "20221010\t2023届高三12班\t0.818", + "20221010\t2023届高三01班\t0.885", + "20221010\t2023届高三02班\t0.567", + "20221010\t2023届高三04班\t0.567", + "20221010\t2023届高三03班\t0.630", + "20221010\t2023届高三05班\t0.744", + "20221010\t2023届高三06班\t0.737", + "20221010\t2023届高三07班\t0.615", + "20221010\t2023届高三08班\t0.704", + "20221010\t2023届高三09班\t0.643" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -86612,7 +86802,7 @@ }, "003466": { "id": "003466", - "content": "对于分别与两条异面直线都相交的两条直线, 下列结论中, 真命题有\\blank{50}(填入序号).\\\\\n(1) 一定是异面直线; (2) 不可能是平行直线; (3) 不可能是相交直线.", + "content": "对于分别与两条异面直线都相交的两条直线, 下列结论中, 真命题有\\blank{50}(填入序号).\\\\\n\\textcircled{1} 一定是异面直线; \\textcircled{2} 不可能是平行直线; \\textcircled{3} 不可能是相交直线.", "objs": [], "tags": [ "第六单元" @@ -90155,7 +90345,7 @@ }, "003621": { "id": "003621", - "content": "已知$\\overrightarrow{a_1}, \\overrightarrow{a_2}, \\overrightarrow{b_1}, \\overrightarrow{b_2},\\cdots,\\overrightarrow{b_k}\\ (k\\in \\mathbf{N}^*)$是平面内两两互不相等的向量, 满足$|\\overrightarrow{a_1}-\\overrightarrow{a_2}|=1$, 且$|\\overrightarrow{a_i}-\\overrightarrow{b_j}|\\in \\{1,2\\}$(其中$i=1,2$, $j=1,2,\\cdots,k$), 则$k$的最大值为\\blank{50}.", + "content": "已知$\\overrightarrow{a_1}, \\overrightarrow{a_2}, \\overrightarrow{b_1}, \\overrightarrow{b_2},\\cdots,\\overrightarrow{b_k}$($k\\in \\mathbf{N}$, $k\\ge 1$)是平面内两两互不相等的向量, 满足$|\\overrightarrow{a_1}-\\overrightarrow{a_2}|=1$, 且$|\\overrightarrow{a_i}-\\overrightarrow{b_j}|\\in \\{1,2\\}$(其中$i=1,2$, $j=1,2,\\cdots,k$), 则$k$的最大值为\\blank{50}.", "objs": [], "tags": [ "第五单元" @@ -92072,7 +92262,7 @@ }, "003703": { "id": "003703", - "content": "如图, 在平面内, $l_1,l_2$是两条平行直线, 它们之间的距离为$2$, 点$P$位于$l_1,l_2$的下方, 它到$l_1$的距离为$1$, 动点$N,M$分别在$l_1,l_2$上, 满足$|\\overrightarrow{PM}+\\overrightarrow{PN}|=6$, 则$\\overrightarrow{PM}\\cdot \\overrightarrow{PN}$的最大值为\\bracket{20}.\n\\fourch{$6$}{$8$}{$12$}{$15$}\n\\begin{center}\n \\begin{tikzpicture}[>=latex]\n \\draw (0,0) -- (5,0) node [right] {$l_1$} (0,2) -- (5,2) node [right] {$l_2$};\n \\draw [->] (4.5,-1) node [below right] {$P$} -- (2,0) node [below] {$N$};\n \\draw [->] (4.5,-1) -- (2.5,2) node [below] {$M$};\n \\end{tikzpicture}\n\\end{center}", + "content": "如图, 在平面内, $l_1,l_2$是两条平行直线, 它们之间的距离为$2$, 点$P$位于$l_1,l_2$的下方, 动点$N,M$分别在$l_1,l_2$上, 满足$|\\overrightarrow{PM}+\\overrightarrow{PN}|=6$, 则$\\overrightarrow{PM}\\cdot \\overrightarrow{PN}$的最大值为\\bracket{20}.\n\\fourch{$6$}{$8$}{$12$}{$15$}\n\\begin{center}\n \\begin{tikzpicture}[>=latex]\n \\draw (0,0) -- (5,0) node [right] {$l_1$} (0,2) -- (5,2) node [right] {$l_2$};\n \\draw [->] (4.5,-1) node [below right] {$P$} -- (2,0) node [below] {$N$};\n \\draw [->] (4.5,-1) -- (2.5,2) node [below] {$M$};\n \\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [ "第五单元" @@ -112232,7 +112422,7 @@ }, "004539": { "id": "004539", - "content": "如图是正四面体的平面展开图, $M,N,G$分别为$DE,BE,FE$的中点, 则在这个四面体中, 异面直线$MN$与$CG$所成的角的大小为\\blank{50}.\n\\begin{center}\n \\begin{tikzpicture}[scale = 1.5]\n \\draw (0,0) node [below] {$E$} coordinate (E);\n \\draw (1,0) node [below right] {$C$} coordinate (C);\n \\draw (-1,0) node [below left] {$B$} coordinate (B);\n \\draw (0,{sqrt(3)}) node [above] {$A$} coordinate (A);\n \\draw ($(A)!0.5!(B)$) node [left] {$D$} coordinate (D);\n \\draw ($(A)!0.5!(C)$) node [right] {$F$} coordinate (F);\n \\draw ($(E)!0.5!(F)$) node [above] {$G$} coordinate (G);\n \\draw ($(D)!0.5!(E)$) node [above] {$M$} coordinate (M);\n \\draw ($(B)!0.5!(E)$) node [below] {$N$} coordinate (N);\n \\draw (A) -- (B) -- (C) -- cycle (D) -- (E) -- (F) -- cycle;\n \\draw (M) -- (N) (C) -- (G);\n \\end{tikzpicture}\n\\end{center}", + "content": "如图是正四面体的平面展开图, $M,N,G$分别为$DE,BE,FE$的中点, 则在这个四面体中, 异面直线$MN$与$CG$所成的角的大小为\\blank{50}.\n\\begin{center}\n \\begin{tikzpicture}[scale = 1]\n \\draw (0,0) node [below] {$E$} coordinate (E);\n \\draw (1,0) node [below right] {$C$} coordinate (C);\n \\draw (-1,0) node [below left] {$B$} coordinate (B);\n \\draw (0,{sqrt(3)}) node [above] {$A$} coordinate (A);\n \\draw ($(A)!0.5!(B)$) node [left] {$D$} coordinate (D);\n \\draw ($(A)!0.5!(C)$) node [right] {$F$} coordinate (F);\n \\draw ($(E)!0.5!(F)$) node [above] {$G$} coordinate (G);\n \\draw ($(D)!0.5!(E)$) node [above] {$M$} coordinate (M);\n \\draw ($(B)!0.5!(E)$) node [below] {$N$} coordinate (N);\n \\draw (A) -- (B) -- (C) -- cycle (D) -- (E) -- (F) -- cycle;\n \\draw (M) -- (N) (C) -- (G);\n \\end{tikzpicture}\n\\end{center}", "objs": [ "K0607004B" ], @@ -228422,7 +228612,7 @@ }, "009671": { "id": "009671", - "content": "如图, 在长方体$ABCD-A_1B_1C_1D_1$中,\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n--++ (0,2) node [above right] {$C_1$} coordinate (C1)\n--++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n\\draw (A) ++ (3,2) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n\\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,2);\n\\end{tikzpicture}\n\\end{center}\n(1) 设$AC$与$BD$的交点为$O$, $O$必为平面\\blank{50}与平面\\blank{50}的公共点(答案不唯一);\\\\\n(2) 画出平面$A_1BCD_1$与平面$B_1BDD_1$的交线.", + "content": "如图, 在长方体$ABCD-A_1B_1C_1D_1$中,\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.6]\n\\draw (0,0) node [below left] {$A$} coordinate (A) --++ (3,0) node [below right] {$B$} coordinate (B) --++ (45:{3/2}) node [right] {$C$} coordinate (C)\n--++ (0,2) node [above right] {$C_1$} coordinate (C1)\n--++ (-3,0) node [above left] {$D_1$} coordinate (D1) --++ (225:{3/2}) node [left] {$A_1$} coordinate (A1) -- cycle;\n\\draw (A) ++ (3,2) node [right] {$B_1$} coordinate (B1) -- (B) (B1) --++ (45:{3/2}) (B1) --++ (-3,0);\n\\draw [dashed] (A) --++ (45:{3/2}) node [left] {$D$} coordinate (D) --++ (3,0) (D) --++ (0,2);\n\\end{tikzpicture}\n\\end{center}\n(1) 设$AC$与$BD$的交点为$O$, $O$必为平面\\blank{50}与平面\\blank{50}的公共点(答案不唯一);\\\\\n(2) 画出平面$A_1BCD_1$与平面$B_1BDD_1$的交线.", "objs": [], "tags": [ "第六单元" @@ -228483,7 +228673,7 @@ "same": [], "related": [], "remark": "", - "space": "12ex" + "space": "0ex" }, "009674": { "id": "009674", @@ -246006,7 +246196,7 @@ }, "010454": { "id": "010454", - "content": "如图, 在四面体$ABCD$中, $AC=8$, $BD=6$, $M$、$N$分别为$AB$、$CD$的中点, 并且异面直线$AC$与$BD$所成的角为$90^\\circ$. 求$MN$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [left] {$D$} coordinate (D);\n\\draw (3,0) node [right] {$B$} coordinate (B);\n\\draw (1.4,2.3) node [above] {$A$} coordinate (A);\n\\draw (2,-0.8) node [below] {$C$} coordinate (C);\n\\draw ($(B)!0.5!(C)$) node [below right] {$N$} coordinate (N);\n\\draw ($(A)!0.5!(D)$) node [above left] {$M$} coordinate (M);\n\\draw (A) -- (C) (B) -- (C) -- (D) (D) -- (A) -- (B);\n\\draw [dashed] (M) -- (N) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 在四面体$ABCD$中, $AC=8$, $BD=6$, $M$、$N$分别为$AB$、$CD$的中点, 并且异面直线$AC$与$BD$所成的角为$90^\\circ$. 求$MN$的长.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [left] {$B$} coordinate (B);\n\\draw (3,0) node [right] {$D$} coordinate (D);\n\\draw (1.4,2.3) node [above] {$A$} coordinate (A);\n\\draw (2,-0.8) node [below] {$C$} coordinate (C);\n\\draw ($(D)!0.5!(C)$) node [below right] {$N$} coordinate (N);\n\\draw ($(A)!0.5!(B)$) node [above left] {$M$} coordinate (M);\n\\draw (A) -- (C) (B) -- (C) -- (D) (D) -- (A) -- (B);\n\\draw [dashed] (M) -- (N) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0607001B" ], @@ -287625,7 +287815,7 @@ }, "030080": { "id": "030080", - "content": "已知三条直线$l_1$, $l_2$和$l_3$两两相交, 且不交于同一个点. 求证: 直线$l_1l_2$和$l_3$在同一个平面上.", + "content": "已知三条直线$l_1$, $l_2$和$l_3$两两相交, 且不交于同一个点. 求证: 直线$l_1$, $l_2$和$l_3$在同一个平面上.", "objs": [], "tags": [], "genre": "解答题", @@ -287640,11 +287830,11 @@ "same": [], "related": [], "remark": "", - "space": "" + "space": "12ex" }, "030081": { "id": "030081", - "content": "已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1B_1$、$B_1C_1$的中点. 画出由$D$、$E$、$F$确定的平面与正方体表面的交线.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{3}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A1)!0.5!(B1)$) node [above] {$E$} coordinate (E);\n\\draw ($(B1)!0.5!(C1)$) node [above] {$F$} coordinate (F);\n\\filldraw (D) circle (0.03) (E) circle (0.03) (F) circle (0.03);\n\\end{tikzpicture}\n\\end{center}", + "content": "已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1B_1$、$B_1C_1$的中点. 画出由$D$、$E$、$F$确定的平面与正方体表面的交线.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A1)!0.5!(B1)$) node [above] {$E$} coordinate (E);\n\\draw ($(B1)!0.5!(C1)$) node [above] {$F$} coordinate (F);\n\\filldraw (D) circle (0.03) (E) circle (0.03) (F) circle (0.03);\n\\end{tikzpicture}\n\\end{center}", "objs": [ "K0603003B", "K0603005B" @@ -287666,7 +287856,7 @@ }, "030082": { "id": "030082", - "content": "如图, 已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1A$、$C_1C$的中点. 求证: 四边形$BED_1F$是平行四边形.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A)!0.5!(A1)$) node [left] {$E$} coordinate (E);\n\\draw ($(C)!0.5!(C1)$) node [right] {$F$} coordinate (F);\n\\draw (E) -- (B) -- (F);\n\\draw [dashed] (E) -- (D1) -- (F);\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 已知$E$、$F$分别是正方体$ABCD-A_1B_1C_1D_1$的棱$A_1A$、$C_1C$的中点. 求证: 四边形$BED_1F$是平行四边形.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{1.5}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D1);\n\\draw (A1) -- (B1) -- (C1) -- (D1) -- cycle;\n\\draw (A) -- (A1) (B) -- (B1) (C) -- (C1);\n\\draw [dashed] (D) -- (D1);\n\\draw ($(A)!0.5!(A1)$) node [left] {$E$} coordinate (E);\n\\draw ($(C)!0.5!(C1)$) node [right] {$F$} coordinate (F);\n\\draw (E) -- (B) -- (F);\n\\draw [dashed] (E) -- (D1) -- (F);\n\\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [], "genre": "解答题", @@ -287708,7 +287898,7 @@ }, "030084": { "id": "030084", - "content": "如图, 在四面体$A-BCD$中, $E,F,G$分别为$AB,AC,AD$上的点. 若$EF\\parallel BC$, $FG\\parallel CD$, 则$\\triangle EFG$和$\\triangle BCD$有什么关系? 为什么?\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0) node [above] {$A$} coordinate (A);\n\\draw (-0.5,-1) node [left] {$E$} coordinate (E);\n\\draw (0.5,-1) node [right] {$G$} coordinate (G);\n\\draw (0.2,-1.4) node [below left] {$F$} coordinate (F);\n\\draw ($(A)!2!(E)$) node [left] {$B$} coordinate (B);\n\\draw ($(A)!2!(F)$) node [below] {$C$} coordinate (C);\n\\draw ($(A)!2!(G)$) node [right] {$D$} coordinate (D);\n\\draw (A) -- (B) (A) -- (C) (A) -- (D) (B) -- (C) -- (D) (E) -- (F) -- (G);\n\\draw [dashed] (E) -- (G) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", + "content": "如图, 在四面体$A-BCD$中, $E,F,G$分别为$AB,AC,AD$上的点. 若$EF\\parallel BC$, $FG\\parallel CD$, 则$\\triangle EFG$和$\\triangle BCD$有什么关系? 为什么?\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 0.7]\n\\draw (0,0) node [above] {$A$} coordinate (A);\n\\draw (-0.5,-1) node [left] {$E$} coordinate (E);\n\\draw (0.5,-1) node [right] {$G$} coordinate (G);\n\\draw (0.2,-1.4) node [below left] {$F$} coordinate (F);\n\\draw ($(A)!2!(E)$) node [left] {$B$} coordinate (B);\n\\draw ($(A)!2!(F)$) node [below] {$C$} coordinate (C);\n\\draw ($(A)!2!(G)$) node [right] {$D$} coordinate (D);\n\\draw (A) -- (B) (A) -- (C) (A) -- (D) (B) -- (C) -- (D) (E) -- (F) -- (G);\n\\draw [dashed] (E) -- (G) (B) -- (D);\n\\end{tikzpicture}\n\\end{center}", "objs": [], "tags": [], "genre": "解答题", @@ -287744,7 +287934,7 @@ "same": [], "related": [], "remark": "", - "space": "" + "space": "18ex" }, "030086": { "id": "030086", @@ -288304,5 +288494,625 @@ ], "remark": "", "space": "" + }, + "030111": { + "id": "030111", + "content": "判断下列命题的真假, 在横线上用``T''或``F''表示.\\\\\n\\blank{20}(1) 空间任意三点确定一个平面;\\\\ \n\\blank{20}(2) 空间任意两条直线确定一个平面;\\\\ \n\\blank{20}(3) 空间两条平行直线确定一个平面;\\\\ \n\\blank{20}(4) 空间一条直线和不在该直线上的一个点确定一个平面;\\\\ \n\\blank{20}(5) 空间两条没有交点的直线必平行;\\\\ \n\\blank{20}(6) 若空间四边形$ABCD$若满足$AB=BC=CD=DA$, 则它一定是菱形;\\\\ \n\\blank{20}(7) 若空间的一条直线如果和一对平行直线之一相交, 则一定与另一条也相交;\\\\ \n\\blank{20}(8) 若空间三点$A,B,C$若满足$AB^2+BC^2=CA^2$, 则$\\triangle ABC$是以$B$为直角顶点的直角三角形;\\\\ \n\\blank{20}(9) 若空间三条直线两两相交, 则通过它们中至少两条的平面有且仅有$1$个;\\\\ \n\\blank{20}(10) 若空间三条直线两两相交, 则通过它们中至少两条的平面有且仅有$3$个.", + "objs": [], + "tags": [ + "第一单元", + "第六单元" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2016届创新班作业\t2201-点线面与立体几何三公理-20221010修改", + "edit": [ + "20220625\t王伟叶", + "20221010\t谈荣" + ], + "same": [], + "related": [ + "001595" + ], + "remark": "", + "space": "" + }, + "030112": { + "id": "030112", + "content": "判断下列命题的真假, 在横线上用``T''或``F''表示.\\\\\n\\blank{20}(1) 已知$\\alpha$, $\\beta$是两个平面, $l,m$是两条直线, 若$l\\subset \\alpha$, $m\\subset \\beta$, 则$l,m$异面;\\\\ \n\\blank{20}(2) 已知平面$\\alpha,\\beta$相交于直线$l$. 若直线$m\\subset \\alpha$, $l \\parallel m$, 直线$n\\subset \\beta$, $l$与$n$相交, 则$m$与$n$异面;\\\\ \n\\blank{20}(3) 已知$l,m$是异面直线, 若直线$n\\parallel l$, 则$m,n$异面;\\\\ \n\\blank{20}(4) 已知$l,m$是异面直线, 若直线$n$和$l$异面, 则$m,n$异面;\\\\ \n\\blank{20}(5) 已知$l,m$是异面直线, 若直线$n$和$l$异面, 则$m,n$共面;\\\\ \n\\blank{20}(6) 正方体的任意两条对角线(对角线指连接不在同一表面上的两顶点的线段)相交.", + "objs": [], + "tags": [ + "第一单元", + "第六单元" + ], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2016届创新班作业\t2202-平行相交与异面-20221010修改", + "edit": [ + "20220625\t王伟叶", + "20221010\t谈荣" + ], + "same": [], + "related": [ + "001598" + ], + "remark": "", + "space": "" + }, + "030113": { + "id": "030113", + "content": "将下列各几何体之间的关系用文氏图表示: 多面体, 长方体, 棱柱, 棱锥, 棱台, 直棱柱, 四面体, 平行六面体.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教A版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030114": { + "id": "030114", + "content": "判断下列命题是否正确, 正确的在横线上画``$\\checkmark$'', 错误的画``$\\times$''.\\\\\n\\blank{30}(1) 长方体是四棱柱, 直四棱柱是长方体;\\\\\n\\blank{30}(2) 四棱柱, 四棱台, 五棱锥都是六面体.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教A版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030115": { + "id": "030115", + "content": "一个几何体由$7$个面围成, 其中两个面是互相平行且全等的五边形, 其他各面都是全等的矩形, 则这个几何体是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教A版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030116": { + "id": "030116", + "content": "一个多面体至少有\\blank{50}个面, 此时这个多面体是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教A版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030117": { + "id": "030117", + "content": "判断下列命题是否正确, 正确的在横线上画``$\\checkmark$'', 错误的画``$\\times$''.\\\\\n\\blank{30}(1) 一个棱柱至少有$5$个面;\\\\\n\\blank{30}(2) 平行六面体中相对的两个面是全等的平行四边形;\\\\\n\\blank{30}(3) 有一个面是平行四边形的棱锥一定是四棱锥;\\\\\n\\blank{30}(4) 正棱锥的侧面是全等的等腰三角形.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030118": { + "id": "030118", + "content": "下列命题是否正确? 若正确, 请说明理由; 若错误, 请举出反例.\\\\\n(1) 有两个面平行, 其他各个面都是平行四边形的多面体是棱柱;\\\\\n(2) 有两个面平行且相似, 其他各个面都是梯形的多面体是棱台.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教A版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030119": { + "id": "030119", + "content": "把直棱柱沿任意一条侧棱展开, 然后在一个平面上将所有侧面展开, 得到的是一个什么平面图形? 答\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030120": { + "id": "030120", + "content": "判断下列命题是否正确, 正确的在横线上画``$\\checkmark$'', 错误的画``$\\times$''.\\\\\n\\blank{30}(1) 侧棱垂直于底面的棱柱一定是直棱柱;\\\\\n\\blank{30}(2) 底面是正多边形的棱柱一定是正棱柱;\\\\\n\\blank{30}(3) 棱柱的侧面都是平行四边形;\\\\\n\\blank{30}(4) 斜柱的侧面都不可能是矩形.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030121": { + "id": "030121", + "content": "四棱锥中, 与一条侧棱异面的棱有\\blank{50}条.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030122": { + "id": "030122", + "content": "已知正四棱锥$V-ABCD$的底面面积为$16$, 侧棱长为$2\\sqrt{11}$, 则这个棱锥的斜高为\\blank{50}, 高为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030123": { + "id": "030123", + "content": "一个三棱台的上, 下底面面积之比为$4:9$, 若棱台的高是$4\\text{cm}$, 则这个棱台的高为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030124": { + "id": "030124", + "content": "设正三棱台的上底面边长为$2\\text{cm}$, 下底面边长以及侧棱长均为$5\\text{cm}$, 则这个棱台的高为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "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}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030126": { + "id": "030126", + "content": "把地球看成一个半径为$6370\\text{cm}$的球, 已知我国首都北京靠近北纬$40^\\circ$. 北纬$40^\\circ$纬线的长度约为\\blank{50}$\\text{km}$(结果精确到$1\\text{km}$).", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030127": { + "id": "030127", + "content": "一个圆柱的母线长为$5$, 底面半径为$2$, 则该圆柱轴截面的面积为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030128": { + "id": "030128", + "content": "圆锥的母线长为$20$, 母线与轴的夹角为$30^\\circ$, 则该圆锥的高为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030129": { + "id": "030129", + "content": "已知$A,B$都是球$O$对应的球面上的点, 过$A,B$两点可以作几个大圆? 说明理由.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030130": { + "id": "030130", + "content": "一条直线被一个半径为$5$的球截得的线段长为$8$, 则球心到直线的距离为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030131": { + "id": "030131", + "content": "判断下列命题是否正确, 正确的在横线上画``$\\checkmark$'', 错误的画``$\\times$''.\\\\\n\\blank{30}(1) 球面上任意一点与球心的连线都是球的半径;\\\\\n\\blank{30}(2) 球面上任意两点连成的线段都是球的直径;\\\\\n\\blank{30}(3) 用一个球面截一个球, 得到的截面是一个圆面.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030132": { + "id": "030132", + "content": "一个圆台的母线长为$5$, 两底面直径分别为$2$和$8$, 则该圆台的高为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030133": { + "id": "030133", + "content": "记$A$为所有平行六面体组成的集合, $B$为所有直平行六面体组成的集合, $C$为所有长方体组成的集合, $D$为所有正四棱柱组成的集合, $E$为所有正方体组成的集合, 写出$A, B, C, D, E$之间的关系.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030134": { + "id": "030134", + "content": "四棱台中, 与一条侧棱异面的棱有\\blank{50}条.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030135": { + "id": "030135", + "content": "已知一个圆台的轴截面是下底为$2$且其余边长为$1$的等腰梯形, 则该圆台的高为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030136": { + "id": "030136", + "content": "用一个平行于圆锥底面的平面截这个圆锥, 截得圆台上、下底面半径的比是$1: 4$, 截去的圆锥的母线长是$3$, 则圆台的母线长为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030137": { + "id": "030137", + "content": "如果把地球看成一个球体, 则地球上的北纬$60^\\circ$纬线长与赤道长的比为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030138": { + "id": "030138", + "content": "用一个平面截半径为$25\\text{cm}$的球, 截面面积是$49\\pi\\text{cm}^2$, 则球心到截面的距离为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030139": { + "id": "030139", + "content": "判断下列命题是否正确, 正确的在横线上画``$\\checkmark$'', 错误的画``$\\times$''.\\\\\n\\blank{30}(1) 有一个面是多边形, 其余各面都是三角形的几何体是棱锥;\\\\\n\\blank{30}(2) 底面是正多边形的棱锥一定是正棱锥;\\\\\n\\blank{30}(3) 有两个面是平行的相似多边形, 其余各面都是梯形的几何体是棱台.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030140": { + "id": "030140", + "content": "如果平行于一个正棱锥底面的截面面积是底面面积的$\\dfrac 12$, 那么截面截一条侧棱所得两条线段的比是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030141": { + "id": "030141", + "content": "将地球视为球体, 记地球半径为$R$, 地球球心为$O$, 设$A, B$为赤道上两点, 且半径$OA$与$OB$的夹角为$\\dfrac {2\\pi}3$, 则线段$AB$的长为\\blank{50}, 赤道在$A, B$两点间的劣弧长为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "030142": { + "id": "030142", + "content": "在正方体上任意选择$4$个顶点, 然后将它们两两相连, 则可能组成的几何图形为\\blank{50}(写出所有正确结论的编号).\\\\\n\\textcircled{1} 矩形; \\textcircled{2} 不是矩形的平行四边形; \\textcircled{3} 有三个面为等腰直角三角形, 有一个面为等边三角形的四面体; \\textcircled{4} 每个面都是等边三角形的四面体; \\textcircled{5} 每个面都是直角三角形的四面体.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "人教B版教材例题与习题", + "edit": [ + "20221010\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" } } \ No newline at end of file