From ef9314ee460dc8381e0a4c7a225752bfd8c2fe01 Mon Sep 17 00:00:00 2001 From: WangWeiye Date: Fri, 24 Feb 2023 13:06:59 +0800 Subject: [PATCH] 20230224 noon --- 工具/寻找阶段末尾空闲题号.ipynb | 2 +- 工具/批量添加题库字段数据.ipynb | 350 +++++------ 工具/文本文件/metadata.txt | 708 ++++++++++++---------- 工具/添加题目到数据库.ipynb | 52 +- 文本处理工具/剪贴板文本整理_mathpix.ipynb | 4 +- 题库0.3/Problems.json | 643 +++++++++++++++++++- 6 files changed, 1211 insertions(+), 548 deletions(-) diff --git a/工具/寻找阶段末尾空闲题号.ipynb b/工具/寻找阶段末尾空闲题号.ipynb index f6aa6ea9..c67f1bff 100644 --- a/工具/寻找阶段末尾空闲题号.ipynb +++ b/工具/寻找阶段末尾空闲题号.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [ { 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 bfa14860..f903e0b0 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 @@ -2,181 +2,193 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.949\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.769\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.974\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.949\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.641\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.923\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.513\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.487\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.590\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.692\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.641\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.949\t0.333\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.821\t0.718\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三10班\t0.436\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.952\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.762\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.952\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.952\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.809\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.905\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.809\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.476\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.714\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.476\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.571\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.238\t0.191\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.857\t0.762\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三11班\t0.333\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.950\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.800\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t1.000\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.950\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.750\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.950\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.750\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.600\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.750\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.650\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.750\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t1.000\t0.500\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.850\t0.650\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三12班\t0.600\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.968\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.806\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t1.000\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.968\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t1.000\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t1.000\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.871\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.806\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.935\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.677\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.903\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.968\t0.806\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.968\t1.000\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三01班\t0.742\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.968\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.806\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.935\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.968\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.903\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.968\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.710\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.710\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.903\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.516\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.677\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.355\t0.516\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.903\t0.677\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三02班\t0.548\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t1.000\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.655\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.966\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.966\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.897\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t1.000\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.690\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.897\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.793\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.586\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.759\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.345\t0.655\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.897\t0.690\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三03班\t0.655\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.966\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.690\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.931\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t1.000\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.793\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.966\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.724\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.759\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.828\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.655\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.690\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.448\t0.517\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.828\t0.966\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三04班\t0.655\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.868\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.763\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.974\n", - "题号: 012837 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.974\n", - "题号: 012857 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.789\n", - "题号: 012858 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.947\n", - "题号: 012859 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.763\n", - "题号: 012839 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.658\n", - "题号: 012841 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.763\n", - "题号: 012842 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.842\n", - "题号: 012843 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.816\n", - "题号: 014190 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.316\t0.316\n", - "题号: 014191 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.868\t0.737\n", - "题号: 012856 , 字段: usages 中已添加数据: 20230223\t2023届高三05班\t0.474\n", - "题号: 012834 , 字段: usages 中已添加数据: 20230223\t2023届高三06班\t0.925\n", - "题号: 012835 , 字段: usages 中已添加数据: 20230223\t2023届高三06班\t0.750\n", - "题号: 012836 , 字段: usages 中已添加数据: 20230223\t2023届高三06班\t0.975\n", - "题号: 012837 , 字段: usages 中已添加数据: 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字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.900\n", + "题号: 012884 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.850\n", + "题号: 012885 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.750\n", + "题号: 012887 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.800\n", + "题号: 012905 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.900\n", + "题号: 012906 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.925\n", + "题号: 012907 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.825\n", + "题号: 012908 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.775\n", + "题号: 012912 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.600\n", + "题号: 012913 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.850\n", + "题号: 012901 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.650\n", + "题号: 012902 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.650\t0.375\n", + "题号: 012903 , 字段: usages 中已添加数据: 20230224\t2023届高三05班\t0.050\t0.400\n", + "题号: 012881 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.921\n", + "题号: 012882 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.947\n", + "题号: 012883 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.947\n", + "题号: 012884 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.947\n", + "题号: 012885 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.868\n", + "题号: 012887 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.737\n", + "题号: 012905 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.974\n", + "题号: 012906 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.974\n", + "题号: 012907 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.816\n", + "题号: 012908 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.868\n", + "题号: 012912 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.684\n", + "题号: 012913 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.868\n", + "题号: 012901 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.737\n", + "题号: 012902 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.921\t0.579\n", + "题号: 012903 , 字段: usages 中已添加数据: 20230224\t2023届高三06班\t0.895\t0.737\n", + "题号: 012881 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.938\n", + "题号: 012882 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.750\n", + "题号: 012883 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.656\n", + "题号: 012884 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.750\n", + "题号: 012885 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.375\n", + "题号: 012887 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.625\n", + "题号: 012905 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.969\n", + "题号: 012906 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.969\n", + "题号: 012907 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.719\n", + "题号: 012908 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.469\n", + "题号: 012912 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.531\n", + "题号: 012913 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.719\n", + "题号: 012901 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.344\n", + "题号: 012902 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.906\t0.438\n", + "题号: 012903 , 字段: usages 中已添加数据: 20230224\t2023届高三07班\t0.594\t0.344\n", + "题号: 012881 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.966\n", + "题号: 012882 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.966\n", + "题号: 012883 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.862\n", + "题号: 012884 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.862\n", + "题号: 012885 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.828\n", + "题号: 012887 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t1.000\n", + "题号: 012905 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.931\n", + "题号: 012906 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t1.000\n", + "题号: 012907 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.724\n", + "题号: 012908 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.724\n", + "题号: 012912 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.621\n", + "题号: 012913 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.793\n", + "题号: 012901 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.414\n", + "题号: 012902 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.931\t0.690\n", + "题号: 012903 , 字段: usages 中已添加数据: 20230224\t2023届高三08班\t0.724\t0.414\n", + "题号: 012881 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.935\n", + "题号: 012882 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.968\n", + "题号: 012883 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.677\n", + "题号: 012884 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.839\n", + "题号: 012885 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.419\n", + "题号: 012887 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.645\n", + "题号: 012905 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.935\n", + "题号: 012906 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.968\n", + "题号: 012907 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.645\n", + "题号: 012908 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.677\n", + "题号: 012912 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.742\n", + "题号: 012913 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.806\n", + "题号: 012901 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.484\n", + "题号: 012902 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.871\t0.290\n", + "题号: 012903 , 字段: usages 中已添加数据: 20230224\t2023届高三09班\t0.903\t0.452\n" ] } ], diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index f44a0a34..ba83744d 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,506 +1,542 @@ usages -012834 -20230223 2023届高三10班 0.949 +012881 +20230224 2023届高三10班 0.944 -012835 -20230223 2023届高三10班 0.769 +012882 +20230224 2023届高三10班 0.833 -012836 -20230223 2023届高三10班 0.974 +012883 +20230224 2023届高三10班 0.806 -012837 -20230223 2023届高三10班 0.949 +012884 +20230224 2023届高三10班 0.917 -012857 -20230223 2023届高三10班 0.641 +012885 +20230224 2023届高三10班 0.444 -012858 -20230223 2023届高三10班 0.923 +012887 +20230224 2023届高三10班 0.722 -012859 -20230223 2023届高三10班 0.513 +012905 +20230224 2023届高三10班 0.889 -012839 -20230223 2023届高三10班 0.487 +012906 +20230224 2023届高三10班 0.944 -012841 -20230223 2023届高三10班 0.590 +012907 +20230224 2023届高三10班 0.806 -012842 -20230223 2023届高三10班 0.692 +012908 +20230224 2023届高三10班 0.611 -012843 -20230223 2023届高三10班 0.641 +012912 +20230224 2023届高三10班 0.389 -014190 -20230223 2023届高三10班 0.949 0.333 +012913 +20230224 2023届高三10班 0.750 -014191 -20230223 2023届高三10班 0.821 0.718 +012901 +20230224 2023届高三10班 0.389 -012856 -20230223 2023届高三10班 0.436 +012902 +20230224 2023届高三10班 1.000 0.556 -012834 -20230223 2023届高三11班 0.952 +012903 +20230224 2023届高三10班 0.806 0.250 -012835 -20230223 2023届高三11班 0.762 +012881 +20230224 2023届高三11班 0.857 -012836 -20230223 2023届高三11班 0.952 +012882 +20230224 2023届高三11班 0.857 -012837 -20230223 2023届高三11班 0.952 +012883 +20230224 2023届高三11班 0.857 -012857 -20230223 2023届高三11班 0.809 +012884 +20230224 2023届高三11班 0.905 -012858 -20230223 2023届高三11班 0.905 +012885 +20230224 2023届高三11班 0.571 -012859 -20230223 2023届高三11班 0.809 +012887 +20230224 2023届高三11班 0.667 -012839 -20230223 2023届高三11班 0.476 +012905 +20230224 2023届高三11班 0.905 -012841 -20230223 2023届高三11班 0.714 +012906 +20230224 2023届高三11班 0.857 -012842 -20230223 2023届高三11班 0.476 +012907 +20230224 2023届高三11班 0.667 -012843 -20230223 2023届高三11班 0.571 +012908 +20230224 2023届高三11班 0.571 -014190 -20230223 2023届高三11班 0.238 0.191 +012912 +20230224 2023届高三11班 0.381 -014191 -20230223 2023届高三11班 0.857 0.762 +012913 +20230224 2023届高三11班 0.476 -012856 -20230223 2023届高三11班 0.333 +012901 +20230224 2023届高三11班 0.524 -012834 -20230223 2023届高三12班 0.950 +012902 +20230224 2023届高三11班 0.048 0.238 -012835 -20230223 2023届高三12班 0.800 +012903 +20230224 2023届高三11班 0.762 0.238 -012836 -20230223 2023届高三12班 1.000 +012881 +20230224 2023届高三12班 1.000 -012837 -20230223 2023届高三12班 0.950 +012882 +20230224 2023届高三12班 0.955 -012857 -20230223 2023届高三12班 0.750 +012883 +20230224 2023届高三12班 0.909 -012858 -20230223 2023届高三12班 0.950 +012884 +20230224 2023届高三12班 0.818 -012859 -20230223 2023届高三12班 0.750 +012885 +20230224 2023届高三12班 0.364 -012839 -20230223 2023届高三12班 0.600 +012887 +20230224 2023届高三12班 0.682 -012841 -20230223 2023届高三12班 0.750 +012905 +20230224 2023届高三12班 1.000 -012842 -20230223 2023届高三12班 0.650 +012906 +20230224 2023届高三12班 1.000 -012843 -20230223 2023届高三12班 0.750 +012907 +20230224 2023届高三12班 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\"2024届高二下学期周末卷02\"\n", - "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\zmj.tex\"\n", - "editor = \"20230223\\t王伟叶\"\n", - "indexed = False\n" + "starting_id = 31244\n", + "raworigin = \"2023年教育部命题四省联考\"\n", + "filename = r\"C:\\Users\\weiye\\Documents\\wwy sync\\临时工作区\\四省.tex\"\n", + "editor = \"20230224\\t王伟叶\"\n", + "indexed = True\n" ] }, { @@ -23,26 +23,28 @@ "name": "stdout", "output_type": "stream", "text": [ - "添加题号040037, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040038, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040039, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040040, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040041, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040042, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040043, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040044, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040045, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040046, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040047, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040048, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040049, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040050, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040051, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040052, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040053, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040054, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040055, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n", - "添加题号040056, 来源: 2024届高二下学期周末卷022024届高二下学期周末卷02\n" + "添加题号031244, 来源: 2023年教育部命题四省联考试题1\n", + "添加题号031245, 来源: 2023年教育部命题四省联考试题2\n", + "添加题号031246, 来源: 2023年教育部命题四省联考试题3\n", + "添加题号031247, 来源: 2023年教育部命题四省联考试题4\n", + "添加题号031248, 来源: 2023年教育部命题四省联考试题5\n", + "添加题号031249, 来源: 2023年教育部命题四省联考试题6\n", + "添加题号031250, 来源: 2023年教育部命题四省联考试题7\n", + "添加题号031251, 来源: 2023年教育部命题四省联考试题8\n", + "添加题号031252, 来源: 2023年教育部命题四省联考试题9\n", + "添加题号031253, 来源: 2023年教育部命题四省联考试题10\n", + "添加题号031254, 来源: 2023年教育部命题四省联考试题11\n", + "添加题号031255, 来源: 2023年教育部命题四省联考试题12\n", + "添加题号031256, 来源: 2023年教育部命题四省联考试题13\n", + "添加题号031257, 来源: 2023年教育部命题四省联考试题14\n", + "添加题号031258, 来源: 2023年教育部命题四省联考试题15\n", + "添加题号031259, 来源: 2023年教育部命题四省联考试题16\n", + "添加题号031260, 来源: 2023年教育部命题四省联考试题17\n", + "添加题号031261, 来源: 2023年教育部命题四省联考试题18\n", + "添加题号031262, 来源: 2023年教育部命题四省联考试题19\n", + "添加题号031263, 来源: 2023年教育部命题四省联考试题20\n", + "添加题号031264, 来源: 2023年教育部命题四省联考试题21\n", + "添加题号031265, 来源: 2023年教育部命题四省联考试题22\n" ] } ], diff --git a/文本处理工具/剪贴板文本整理_mathpix.ipynb b/文本处理工具/剪贴板文本整理_mathpix.ipynb index 84ed9d48..e44698b5 100644 --- a/文本处理工具/剪贴板文本整理_mathpix.ipynb +++ b/文本处理工具/剪贴板文本整理_mathpix.ipynb @@ -384,7 +384,7 @@ ], "metadata": { "kernelspec": { - "display_name": "mathdept", + "display_name": "pythontest", "language": "python", "name": "python3" }, @@ -403,7 +403,7 @@ "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc" + "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93" } } }, diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 1dede82d..17f808aa 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -318556,7 +318556,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.944", + "20230224\t2023届高三11班\t0.857", + "20230224\t2023届高三12班\t1.000", + "20230224\t2023届高三01班\t1.000", + "20230224\t2023届高三02班\t0.938", + "20230224\t2023届高三03班\t0.923", + "20230224\t2023届高三04班\t0.967", + "20230224\t2023届高三05班\t0.975", + "20230224\t2023届高三06班\t0.921", + "20230224\t2023届高三07班\t0.938", + "20230224\t2023届高三08班\t0.966", + "20230224\t2023届高三09班\t0.935" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -318577,7 +318590,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.833", + "20230224\t2023届高三11班\t0.857", + "20230224\t2023届高三12班\t0.955", + "20230224\t2023届高三01班\t0.852", + "20230224\t2023届高三02班\t0.844", + "20230224\t2023届高三03班\t0.769", + "20230224\t2023届高三04班\t0.833", + "20230224\t2023届高三05班\t0.875", + "20230224\t2023届高三06班\t0.947", + "20230224\t2023届高三07班\t0.750", + "20230224\t2023届高三08班\t0.966", + "20230224\t2023届高三09班\t0.968" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -318598,7 +318624,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.806", + "20230224\t2023届高三11班\t0.857", + "20230224\t2023届高三12班\t0.909", + "20230224\t2023届高三01班\t0.926", + "20230224\t2023届高三02班\t0.875", + "20230224\t2023届高三03班\t0.808", + "20230224\t2023届高三04班\t0.833", + "20230224\t2023届高三05班\t0.900", + "20230224\t2023届高三06班\t0.947", + "20230224\t2023届高三07班\t0.656", + "20230224\t2023届高三08班\t0.862", + "20230224\t2023届高三09班\t0.677" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -318619,7 +318658,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.917", + "20230224\t2023届高三11班\t0.905", + "20230224\t2023届高三12班\t0.818", + "20230224\t2023届高三01班\t1.000", + "20230224\t2023届高三02班\t0.875", + "20230224\t2023届高三03班\t0.923", + "20230224\t2023届高三04班\t0.933", + "20230224\t2023届高三05班\t0.850", + "20230224\t2023届高三06班\t0.947", + "20230224\t2023届高三07班\t0.750", + "20230224\t2023届高三08班\t0.862", + "20230224\t2023届高三09班\t0.839" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -318640,7 +318692,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.444", + "20230224\t2023届高三11班\t0.571", + "20230224\t2023届高三12班\t0.364", + "20230224\t2023届高三01班\t0.963", + "20230224\t2023届高三02班\t0.812", + "20230224\t2023届高三03班\t0.923", + "20230224\t2023届高三04班\t0.867", + "20230224\t2023届高三05班\t0.750", + "20230224\t2023届高三06班\t0.868", + "20230224\t2023届高三07班\t0.375", + "20230224\t2023届高三08班\t0.828", + "20230224\t2023届高三09班\t0.419" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -318682,7 +318747,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.722", + "20230224\t2023届高三11班\t0.667", + "20230224\t2023届高三12班\t0.682", + "20230224\t2023届高三01班\t0.852", + "20230224\t2023届高三02班\t0.875", + "20230224\t2023届高三03班\t0.692", + "20230224\t2023届高三04班\t0.600", + "20230224\t2023届高三05班\t0.800", + "20230224\t2023届高三06班\t0.737", + "20230224\t2023届高三07班\t0.625", + "20230224\t2023届高三08班\t1.000", + "20230224\t2023届高三09班\t0.645" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319068,7 +319146,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.389", + "20230224\t2023届高三11班\t0.524", + "20230224\t2023届高三12班\t0.682", + "20230224\t2023届高三01班\t0.741", + "20230224\t2023届高三02班\t0.719", + "20230224\t2023届高三03班\t0.346", + "20230224\t2023届高三04班\t0.567", + "20230224\t2023届高三05班\t0.650", + "20230224\t2023届高三06班\t0.737", + "20230224\t2023届高三07班\t0.344", + "20230224\t2023届高三08班\t0.414", + "20230224\t2023届高三09班\t0.484" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319089,7 +319180,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t1.000\t0.556", + "20230224\t2023届高三11班\t0.048\t0.238", + "20230224\t2023届高三12班\t0.909\t0.636", + "20230224\t2023届高三01班\t1.000\t0.741", + "20230224\t2023届高三02班\t0.688\t0.594", + "20230224\t2023届高三03班\t0.923\t0.654", + "20230224\t2023届高三04班\t0.900\t0.567", + "20230224\t2023届高三05班\t0.650\t0.375", + "20230224\t2023届高三06班\t0.921\t0.579", + "20230224\t2023届高三07班\t0.906\t0.438", + "20230224\t2023届高三08班\t0.931\t0.690", + "20230224\t2023届高三09班\t0.871\t0.290" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319110,7 +319214,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.806\t0.250", + "20230224\t2023届高三11班\t0.762\t0.238", + "20230224\t2023届高三12班\t0.864\t0.227", + "20230224\t2023届高三01班\t0.889\t0.852", + "20230224\t2023届高三02班\t0.656\t0.594", + "20230224\t2023届高三03班\t0.808\t0.500", + "20230224\t2023届高三04班\t0.467\t0.433", + "20230224\t2023届高三05班\t0.050\t0.400", + "20230224\t2023届高三06班\t0.895\t0.737", + "20230224\t2023届高三07班\t0.594\t0.344", + "20230224\t2023届高三08班\t0.724\t0.414", + "20230224\t2023届高三09班\t0.903\t0.452" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319152,7 +319269,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.889", + "20230224\t2023届高三11班\t0.905", + "20230224\t2023届高三12班\t1.000", + "20230224\t2023届高三01班\t0.963", + "20230224\t2023届高三02班\t0.906", + "20230224\t2023届高三03班\t0.923", + "20230224\t2023届高三04班\t0.900", + "20230224\t2023届高三05班\t0.900", + "20230224\t2023届高三06班\t0.974", + "20230224\t2023届高三07班\t0.969", + "20230224\t2023届高三08班\t0.931", + "20230224\t2023届高三09班\t0.935" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319173,7 +319303,20 @@ 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"20230224\t2023届高三09班\t0.645" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319215,7 +319371,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.611", + "20230224\t2023届高三11班\t0.571", + "20230224\t2023届高三12班\t0.818", + "20230224\t2023届高三01班\t0.926", + "20230224\t2023届高三02班\t0.812", + "20230224\t2023届高三03班\t0.962", + "20230224\t2023届高三04班\t0.833", + "20230224\t2023届高三05班\t0.775", + "20230224\t2023届高三06班\t0.868", + "20230224\t2023届高三07班\t0.469", + "20230224\t2023届高三08班\t0.724", + "20230224\t2023届高三09班\t0.677" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319299,7 +319468,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.389", + "20230224\t2023届高三11班\t0.381", + "20230224\t2023届高三12班\t0.591", + "20230224\t2023届高三01班\t0.926", + "20230224\t2023届高三02班\t0.688", + "20230224\t2023届高三03班\t0.462", + "20230224\t2023届高三04班\t0.800", + "20230224\t2023届高三05班\t0.600", + "20230224\t2023届高三06班\t0.684", + "20230224\t2023届高三07班\t0.531", + "20230224\t2023届高三08班\t0.621", + "20230224\t2023届高三09班\t0.742" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -319320,7 +319502,20 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20230224\t2023届高三10班\t0.750", + "20230224\t2023届高三11班\t0.476", + "20230224\t2023届高三12班\t0.545", + "20230224\t2023届高三01班\t0.963", + "20230224\t2023届高三02班\t0.719", + "20230224\t2023届高三03班\t0.692", + "20230224\t2023届高三04班\t0.800", + "20230224\t2023届高三05班\t0.850", + "20230224\t2023届高三06班\t0.868", + "20230224\t2023届高三07班\t0.719", + "20230224\t2023届高三08班\t0.793", + "20230224\t2023届高三09班\t0.806" + ], "origin": "2022届高三第二轮复习讲义", "edit": [ "20230118\t王伟叶" @@ -431891,6 +432086,424 @@ "remark": "", "space": "" }, + "031244": { + "id": "031244", + "content": "设$z=1+\\mathrm{i}$, 则$z^2-\\mathrm{i}=$\\bracket{20}.\n\\fourch{$\\mathrm{i}$}{$-\\mathrm{i}$}{$1$}{$-1$}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题1", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031245": { + "id": "031245", + "content": "设集合$A=\\{2,3, a^2-2 a-3\\}$, $B=\\{0,3\\}$, $C=\\{2, a\\}$. 若$B \\subseteq A$, $A \\cap C=\\{2\\}$, 则$a=$\\bracket{20}.\n\\fourch{$-3$}{$-1$}{$1$}{$3$}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题2", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031246": { + "id": "031246", + "content": "甲、乙、丙、丁四名教师带领学生参加校园植树活动, 教师随机分成三组, 每组至少一人, 则甲、乙在同一组的概率为\\bracket{20}.\n\\fourch{$\\dfrac{1}{6}$}{$\\dfrac{1}{4}$}{$\\dfrac{1}{3}$}{$\\dfrac{1}{2}$}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题3", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031247": { + "id": "031247", + "content": "平面向量$\\overrightarrow{a}$与$\\overrightarrow{b}$相互垂直, 已知$\\overrightarrow{a}=(6,-8)$, $|\\overrightarrow{b}|=5$, 且$\\overrightarrow{b}$与向量$(1,0)$的夹角是钝角, 则$\\overrightarrow{b}=$\\bracket{20}.\n\\fourch{$(-3,-4)$}{$(4,3)$}{$(-4,3)$}{$(-4,-3)$}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题4", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031248": { + "id": "031248", + "content": "已知点$A, B, C$为椭圆$D$的三个顶点, 若$\\triangle ABC$是正三角形, 则$D$的离心率是\\bracket{20}.\n\\fourch{$\\dfrac{1}{2}$}{$\\dfrac{2}{3}$}{$\\dfrac{\\sqrt{6}}{3}$}{$\\dfrac{\\sqrt{3}}{2}$}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题5", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031249": { + "id": "031249", + "content": "三棱锥$A-BCD$中, $AC \\perp$平面$BCD$, $BD \\perp CD$. 若$AB=3, BD=1$, 则该三棱锥体积的最大值为\\bracket{20}.\n\\fourch{$2$}{$\\dfrac{4}{3}$}{$1$}{$\\dfrac{2}{3}$}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题6", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031250": { + "id": "031250", + "content": "设函数$f(x), g(x)$在$\\mathbf{R}$的导函数存在, 且$f'(x)g(x)$}{$f(x)+g(a)=latex,scale = 3]\n\\draw (0,0,0) node [left] {$O$} coordinate (O);\n\\draw ({sqrt(2)/2},0,{sqrt(2)/2}) node [below] {$A$} coordinate (A);\n\\draw ({sqrt(6)/4},{1/2},{sqrt(6)/4}) node [below right] {$C$} coordinate (C);\n\\draw ({sqrt(6)/4},0,{sqrt(6)/4}) node [above left] {$K$} coordinate (K);\n\\draw ({sqrt(6)/4},0,0) node [above right] {$N$} coordinate (N);\n\\draw ($(N)+(C)-(K)$) node [above] {$M$} coordinate (M);\n\\draw (1,0,0) node [right] {$B$} coordinate (B);\n\\draw ($(O)!{4/sqrt(10)}!(M)$) node [right] {$D$} coordinate (D);\n\\draw (O)--(A)(O)--(C)(O)--(D)(K)--(C)--(M);\n\\draw [dashed] (O)--(B)(M)--(N)--(K)(O)--++(0,1,0)(O)--++(0,0,1);\n\\draw [domain = 0:45] plot ({cos(\\x)},0,{sin(\\x)});\n\\draw [dashed, domain = 45:90] plot ({cos(\\x)},0,{sin(\\x)});\n\\draw [domain = 0:{acos(sqrt(6)/sqrt(10))}] plot ({cos(\\x)},{sin(\\x)},0);\n\\draw [dashed,domain = {acos(sqrt(6)/sqrt(10))}:90] plot ({cos(\\x)},{sin(\\x)},0);\n\\draw [dashed, domain = 0:90] plot (0,{cos(\\x)},{sin(\\x)});\n\\draw [domain = 0:30] plot ({sqrt(2)/2*cos(\\x)},{sin(\\x)},{sqrt(2)/2*cos(\\x)});\n\\draw [dashed, domain = 30:90] plot ({sqrt(2)/2*cos(\\x)},{sin(\\x)},{sqrt(2)/2*cos(\\x)});\n\\draw [domain = 0:{acos(sqrt(10)/4)}] plot ({sqrt(6)/sqrt(10)*cos(\\x)},{2/sqrt(10)*cos(\\x)},{sin(\\x)});\n\\draw [dashed, domain = {acos(sqrt(10)/4)}:90] plot ({sqrt(6)/sqrt(10)*cos(\\x)},{2/sqrt(10)*cos(\\x)},{sin(\\x)});\n\\end{tikzpicture}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题12", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031256": { + "id": "031256", + "content": "某工厂生产的产品的质量指标服从正态分布$N(100, \\sigma^2)$. 质量指标介于$99$至$101$之间''的产品为良品, 为使这种产品的良品率达到$95.45 \\%$, 则需调整生产工艺, 使得$\\sigma$至多为\\blank{50}. (若$X \\sim N(\\mu, \\sigma^2)$, 则$P\\{|X-\\mu|<2 \\sigma\\}=0.9545$)", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题13", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031257": { + "id": "031257", + "content": "若$P, Q$分别是抛物线$x^2=y$与圆$(x-3)^2+y^2=1$上的点, 则$|PQ|$的最小值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题14", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031258": { + "id": "031258", + "content": "数学家祖冲之曾给出圆周率$\\pi$的两个近似值: ``约率''$\\dfrac{22}{7}$与``密率''$\\dfrac{355}{113}$、它们可用``调日法''得到: 称小于$3.1415926$的近似值为弱率, 大于$3.1415927$的近似值为强率. 由$\\dfrac{3}{1}<\\pi<\\dfrac{4}{1}$, 取$3$为弱率, $4$为强率, 得$a_1=\\dfrac{3+4}{1+1}=\\dfrac{7}{2}$, 故$a_1$为强率, 与上一次的弱率$3$计算得$a_2=\\dfrac{3+7}{1+2}=\\dfrac{10}{3}$, 故$a_2$为强率, 继续计算, $\\cdots \\cdots$. 若某次得到的近似值为强率, 与上一次的弱率继续计算得到新的近似值; 若某次得到的近似值为弱率, 与上一次的强率继续计算得到新的近似值, 依此类推. 已知$a_m=\\dfrac{22}{7}$, 则$m=$\\blank{50}; $a_{8}=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题15", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031259": { + "id": "031259", + "content": "如图为一个开关阵列, 每个开关只有``开''和``关''两种状态, 按其中一个开关$1$次, 将导致自身和所有相邻的开关改变状态. 例如, 按$(2,2)$将导致$(1,2),(2,1),(2,2),(2,3),(3,2)$改变状态. 如果要求只改变$(1,1)$的状态, 则需按开关的最少次数为\\blank{50}.\n\\begin{center}\n\\begin{tabular}{|c|c|c|}\n\\hline$(1,1)$&$(1,2)$&$(1,3)$\\\\\n\\hline$(2,1)$&$(2,2)$&$(2,3)$\\\\\n\\hline$(3,1)$&$(3,2)$&$(3,3)$\\\\\n\\hline\n\\end{tabular}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题16", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031260": { + "id": "031260", + "content": "如图, 四边形$ABCD$是圆柱底面的内接四边形, $AC$是圆柱的底面直径, $PC$是圆柱的母线, $E$是$AC$与$BD$的交点, $AB=AD$, $\\angle BAD=60^{\\circ}$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (-2,0) arc (180:360:2 and 0.5);\n\\draw [dashed] (-2,0) arc (180:0:2 and 0.5);\n\\draw (0,4) ellipse (2 and 0.5);\n\\draw (-2,0) -- (-2,4) (2,0) -- (2,4);\n\\draw (150:2 and 0.5) node [above] {$B$} coordinate (B);\n\\draw (30:2 and 0.5) node [below] {$D$} coordinate (D);\n\\draw (80:2 and 0.5) node [above right] {$C$} coordinate (C);\n\\draw (260:2 and 0.5) node [below] {$A$} coordinate (A);\n\\draw (C)++(0,4) node [above] {$P$} coordinate (P);\n\\draw ($(P)!0.25!(A)$) node [left] {$F$} coordinate (F);\n\\draw [dashed] (P)--(A)(P)--(B)(P)--(C)(P)--(D)(A)--(C)(B)--(D)(C)--(F)(D)--(F)(A)--(B)--(C)--(D)--cycle;\n\\path [name path = AC] (A)--(C);\n\\path [name path = BD] (B)--(D);\n\\path [name intersections = {of = AC and BD, by = E}];\n\\draw (E) node [below right] {$E$};\n\\end{tikzpicture}\n\\end{center}\n(1) 记圆柱的体积为$V_1$, 四棱锥$P-ABCD$的体积为$V_2$, 求$\\dfrac{V_1}{V_2}$;\\\\\n(2) 设点$F$在线段$AP$上, $PA=4PF$, $PC=4CE$, 求二面角$F-CD-P$的余弦值.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题17", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031261": { + "id": "031261", + "content": "已知函数$f(x)=\\sin (\\omega x+\\varphi)$在区间$(\\dfrac{\\pi}{6}, \\dfrac{\\pi}{2})$单调, 其中$\\omega$为正整数, $|\\varphi|<\\dfrac{\\pi}{2}$, 且$f(\\dfrac{\\pi}{2})=f(\\dfrac{2 \\pi}{3})$.\\\\\n(1) 求$y=f(x)$图像的一条对称轴;\\\\\n(2) 若$f(\\dfrac{\\pi}{6})=\\dfrac{\\sqrt{3}}{2}$, 求$\\varphi$.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题18", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031262": { + "id": "031262", + "content": "记数列$\\{a_n\\}$的前$n$项和为$T_n$, 且$a_1=1$, $a_n=T_{n-1}$($n \\geq 2$).\\\\\n(1) 求数列$\\{a_n\\}$的通项公式:\\\\\n(2) 设$m$为整数, 且对任意$n \\in \\mathbf{N}$, $n \\ge 1$, $m \\geq \\dfrac{1}{a_1}+\\dfrac{2}{a_2}+\\cdots+\\dfrac{n}{a_n}$, 求$m$的最小值.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题19", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031263": { + "id": "031263", + "content": "一个池塘里的鱼的数目记为$N$, 从池塘里捞出$200$尾鱼, 并给鱼作上标识, 然后把鱼放回池塘里, 过一小段时间后再从池塘里拱出$500$尾鱼, $X$表示捞出的$500$尾鱼中有标识的鱼的数目.\\\\\n(1) 若$N=5000$, 求$X$的数学期望;\\\\\n(2) 已知捞出的$500$尾鱼中$15$尾有标识, 试给出$N$的估计值(以使得$P(X=15)$取大的$N$的值作为$N$的估计值).", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题20", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031264": { + "id": "031264", + "content": "已知双曲线$C: \\dfrac{x^2}{a^2}-\\dfrac{y^2}{b^2}=1$($a>0$, $b>0$)过点$A(4 \\sqrt{2}, 3)$, 且焦距为$10$.\\\\\n(1) 求$C$的方程;\\\\\n(2) 已知点$B(4 \\sqrt{2},-3)$, $D(2 \\sqrt{2}, 0)$, $E$为线段$AB$上一点, 且直线$DE$交$C$于$G$, $H$两点. 证明: $\\dfrac{|GD|}{|GE|}=\\dfrac{|HD|}{|HE|}$.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题21", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, + "031265": { + "id": "031265", + "content": "椭圆曲线加密算法运用于区块链.\\\\\n椭圆曲线$C=\\{(x, y) | y^2=x^3+a x+b,\\ 4 a^3+27 b^2 \\neq 0\\}$, $P \\in C$关于$x$轴的对称点记为 $\\tilde{C}$. $C$在点$P(x, y)$($y \\neq 0$)处的切线是指曲线$y=\\pm \\sqrt{x^3+a x+b}$在点$P$处的切线. 定义``$\\oplus$\" 运算满足:\\\\\n\\textcircled{1} 若$P \\in C$, $Q \\in C$, 且直线$PQ$与$C$有第三个交点$R$, 则$P \\oplus Q=\\tilde{R}$;\\\\\n\\textcircled{2} 若$P \\in C$, $Q \\in C$, 且$PQ$为$C$的切线, 切点为$P$, 则$P \\oplus Q=\\tilde{P}$;\\\\\n\\textcircled{3} 若$P \\in C$, 规定$P \\oplus \\tilde{P}=0^{\\circ}$, 且$P \\oplus 0^{\\circ}=0^{\\circ} \\oplus P=P$.\\\\\n(1) 当$4 a^3+27 b^2=0$时, 讨论函数$h(x)=x^3+a x+b$零点的个数;\\\\\n(2) 已知``$\\oplus$''运算满足交换律、结合律, 若$P \\in C$, $Q \\in C$, 且$PQ$为$C$的切线, 切点为$P$, 证明: $P \\oplus P=\\tilde{Q}$;\\\\(3) 已知$P(x_1, y_1) \\in C$, $Q(x_2, y_2) \\in C$, 且直线$PQ$与$C$有第三个交点, 求$P \\oplus Q$的坐标.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2023年教育部命题四省联考试题22", + "edit": [ + "20230224\t王伟叶" + ], + "same": [], + "related": [], + "remark": "", + "space": "" + }, "040001": { "id": "040001", "content": "参数方程$\\begin{cases}x=3 t^2+4, \\\\ y=t^2-2\\end{cases}$($0 \\leq t \\leq 3$)所表示的曲线是\\bracket{20}.\n\\fourch{一支双曲线}{线段}{圆弧}{射线}",