From e42347d2bca2fe5dd79e166722e569e38d2f8e78 Mon Sep 17 00:00:00 2001 From: Wang Weiye Date: Wed, 7 Dec 2022 15:47:51 +0800 Subject: [PATCH] 20221207 afternoon --- 工具/修改题目数据库.ipynb | 14 +- 工具/寻找tex文件中未赋答案的题目.ipynb | 67 +- 工具/批量添加题库字段数据.ipynb | 48 +- 工具/文本文件/metadata.txt | 81 +- 工具/生成文件夹下的题号清单.ipynb | 450 +++++++--- 工具/讲义生成.ipynb | 6 +- 题库0.3/Problems.json | 1065 ++++++++++++++++++++---- 7 files changed, 1339 insertions(+), 392 deletions(-) diff --git a/工具/修改题目数据库.ipynb b/工具/修改题目数据库.ipynb index 8294faca..3b379268 100644 --- a/工具/修改题目数据库.ipynb +++ b/工具/修改题目数据库.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -11,7 +11,7 @@ "0" ] }, - "execution_count": 1, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -19,7 +19,7 @@ "source": [ "import os,re,json\n", "# 这里修改题目id, 可以不满6位\n", - "id = 10000\n", + "id = 8937\n", "\n", "index = str(id).zfill(6)\n", "with open(r\"../题库0.3/Problems.json\",\"r\",encoding = \"utf8\") as f:\n", @@ -33,7 +33,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ @@ -55,7 +55,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -69,12 +69,12 @@ "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/寻找tex文件中未赋答案的题目.ipynb b/工具/寻找tex文件中未赋答案的题目.ipynb index 4074aa0f..b54cf393 100644 --- a/工具/寻找tex文件中未赋答案的题目.ipynb +++ b/工具/寻找tex文件中未赋答案的题目.ipynb @@ -2,75 +2,90 @@ "cells": [ { "cell_type": "code", - "execution_count": 3, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "测验10.tex\n", - "012096\n", + "36_椭圆与双曲线的概念及性质.tex\n", + "008894\n", "\n", "\n", - "012097\n", + "002314\n", "\n", "\n", - "012098\n", + "000271\n", "\n", "\n", - "012099\n", + "009823\n", "\n", "\n", - "012100\n", + "030483\n", "\n", "\n", - "012101\n", + "002369\n", "\n", "\n", - "012102\n", + "008910\n", "\n", "\n", - "012103\n", + "003421\n", "\n", "\n", - "012104\n", + "008912\n", "\n", "\n", - "012105\n", + "030484\n", "\n", "\n", - "012106\n", + "002391\n", "\n", "\n", - "012107\n", + "002435\n", "\n", "\n", - "012108\n", + "003400\n", "\n", "\n", - "012109\n", + "002329\n", "\n", "\n", - "012110\n", + "008873\n", "\n", "\n", - "012111\n", + "002342\n", "\n", "\n", - "012112\n", + "010673\n", "\n", "\n", - "012113\n", + "002325\n", "\n", "\n", - "012114\n", + "004717\n", "\n", "\n", - "012115\n", + "002348\n", "\n", "\n", - "012116\n", + "009985\n", + "\n", + "\n", + "009830\n", + "\n", + "\n", + "009832\n", + "\n", + "\n", + "002372\n", + "\n", + "\n", + "003431\n", + "\n", + "\n", + "008952\n", "\n", "\n" ] @@ -80,9 +95,9 @@ "import os,json,re\n", "\n", "#这里需要修改, 设定路径与选择文件\n", - "fileind = 13\n", - "path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n", - "# path = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n", + "fileind = 36\n", + "# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n", + "path = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n", "\n", "fileind = fileind - 1\n", "with open(\"../题库0.3/Problems.json\",\"r\",encoding = \"utf8\") as f:\n", diff --git a/工具/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 20e2fd14..1b9f6e12 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 @@ -2,41 +2,25 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "题号: 012096 , 字段: ans 中已修改数据: $\\{-1,0\\}$\n", - "题号: 012097 , 字段: ans 中已修改数据: $2$\n", - "题号: 012098 , 字段: ans 中已修改数据: $(1,-2,-3)$\n", - "题号: 012099 , 字段: ans 中已修改数据: $3$\n", - "题号: 012100 , 字段: ans 中已修改数据: $69$\n", - "题号: 012101 , 字段: ans 中已修改数据: $-\\dfrac 43$\n", - "题号: 012102 , 字段: ans 中已修改数据: $\\dfrac 12$\n", - "题号: 012103 , 字段: ans 中已修改数据: $\\dfrac\\pi 6$或$\\dfrac{5\\pi}6$\n", - "题号: 012104 , 字段: ans 中已修改数据: $(-3,-1)\\cup (0,1)$\n", - "题号: 012105 , 字段: ans 中已修改数据: $\\dfrac 6{25}$\n", - "题号: 012106 , 字段: ans 中已修改数据: $\\sqrt{3}$\n", - "题号: 012107 , 字段: ans 中已修改数据: $(-1,1-\\sqrt{3}]$\n", - "题号: 012108 , 字段: ans 中已修改数据: B\n", - "题号: 012109 , 字段: ans 中已修改数据: D\n", - "题号: 012110 , 字段: ans 中已修改数据: C\n", - "题号: 012111 , 字段: ans 中已修改数据: C\n", - "题号: 012112 , 字段: ans 中已修改数据: (1) 公差为$3$; (2) $a_1$的所有可能的值为$18,19,20$\n", - "题号: 012113 , 字段: ans 中已修改数据: (1) 证明略; (2) $\\dfrac 13$\n", - "题号: 012114 , 字段: ans 中已修改数据: (1) (示例)王先生可能需要考虑的因素有:\\\\\n", - "\\textcircled{1} 未来月租金的变化;\\\\\n", - "\\textcircled{2} 找到承租人的时长的变化;\\\\\n", - "\\textcircled{3} 未来租客的租期长短;\\\\\n", - "\\textcircled{4} 房屋是否未来三年内可以用于出租;\\\\\n", - "\\textcircled{5} 换租客的过程中是否需要重新装修;\n", - "\\textcircled{6} 寻租过程中的时间、精力成本等.\\\\\n", - "(2) 言之有理即可\n", - "题号: 012115 , 字段: ans 中已修改数据: (1) $y=x+1$; (2) 面积的最大值为$2$, 此时$l:y=0$; (3) 当$\\delta_{F_1}\\cdot \\delta_{F_2}>b^2$($=b^2$, $\\sqrt{2}$或$y<-\\sqrt{2}$); (2) $2x^2-y^2-4x+y=0$, 能取到每一个点\n", + "题号: 002435 , 字段: ans 中已修改数据: (1) $y=\\sqrt{3}x+1$; (2) $y=\\dfrac{1+\\sqrt{7}}2x+\\dfrac{1-\\sqrt{7}}2$或$y=\\dfrac{1-\\sqrt{7}}2x+\\dfrac{1+\\sqrt{7}}2$\n" ] } ], @@ -134,7 +118,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3.8.8 ('base')", + "display_name": "Python 3.9.7 ('base')", "language": "python", "name": "python3" }, @@ -148,12 +132,12 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.8" + "version": "3.9.7" }, "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac" + "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba" } } }, diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 8d61a864..66027fd4 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,72 +1,37 @@ ans +008894 +$[1,5)\cup (5,+\infty)$ -012096 -$\{-1,0\}$ +002314 +$(3,4)\cup (4,5)$ -012097 -$2$ +000271 +$\dfrac{\sqrt{5}-1}2$ -012098 -$(1,-2,-3)$ +009823 +最大值为$10$, 最小值为$2$ -012099 -$3$ +030483 +$\pm 1$ -012100 -$69$ +002369 +$\dfrac{x^2}{9/2}-\dfrac{y^2}{9/2}=1$ -012101 -$-\dfrac 43$ - -012102 -$\dfrac 12$ - -012103 -$\dfrac\pi 6$或$\dfrac{5\pi}6$ - -012104 -$(-3,-1)\cup (0,1)$ - -012105 -$\dfrac 6{25}$ - -012106 -$\sqrt{3}$ - -012107 -$(-1,1-\sqrt{3}]$ - -012108 +008910 B -012109 -D +003421 +$\arccos \dfrac 13$ -012110 -C +008912 +$x^2-\dfrac{y^2}9=1$或$\dfrac{y^2}{81}-\dfrac{x^2}9=1$ -012111 -C +030484 +$90^{\circ}$ -012112 -(1) 公差为$3$; (2) $a_1$的所有可能的值为$18,19,20$ +002391 +(1) $y=x$($x>\sqrt{2}$或$y<-\sqrt{2}$); (2) $2x^2-y^2-4x+y=0$, 能取到每一个点 -012113 -(1) 证明略; (2) $\dfrac 13$ - -012114 -(1) (示例)王先生可能需要考虑的因素有:\\ -\textcircled{1} 未来月租金的变化;\\ -\textcircled{2} 找到承租人的时长的变化;\\ -\textcircled{3} 未来租客的租期长短;\\ -\textcircled{4} 房屋是否未来三年内可以用于出租;\\ -\textcircled{5} 换租客的过程中是否需要重新装修; -\textcircled{6} 寻租过程中的时间、精力成本等.\\ -(2) 言之有理即可 - -012115 -(1) $y=x+1$; (2) 面积的最大值为$2$, 此时$l:y=0$; (3) 当$\delta_{F_1}\cdot \delta_{F_2}>b^2$($=b^2$, $\\sqrt{2}$或$y<-\\sqrt{2}$); (2) $2x^2-y^2-4x+y=0$, 能取到每一个点", "solution": "", "duration": -1, "usages": [ @@ -65880,10 +65926,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$(1,2)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.857", + "20221207\t2023届高三11班\t1.000", + "20221207\t2023届高三12班\t0.833", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.966", + "20221207\t2023届高三03班\t0.964", + "20221207\t2023届高三04班\t0.966", + "20221207\t2023届高三05班\t0.900", + "20221207\t2023届高三07班\t0.786", + "20221207\t2023届高三06班\t0.912", + "20221207\t2023届高三08班\t0.967", + "20221207\t2023届高三09班\t0.933" + ], "origin": "2016届创新班作业\t3169-抛物线[1]", "edit": [ "20220625\t王伟叶" @@ -65904,10 +65963,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$-p^2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.943", + "20221207\t2023届高三11班\t0.750", + "20221207\t2023届高三12班\t0.583", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.759", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.862", + "20221207\t2023届高三05班\t0.875", + "20221207\t2023届高三07班\t0.929", + "20221207\t2023届高三06班\t0.912", + "20221207\t2023届高三08班\t0.900", + "20221207\t2023届高三09班\t0.667" + ], "origin": "2016届创新班作业\t3169-抛物线[1]", "edit": [ "20220625\t王伟叶" @@ -66242,10 +66314,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$4x+y+3=0$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.743", + "20221207\t2023届高三11班\t0.300", + "20221207\t2023届高三12班\t0.667", + "20221207\t2023届高三01班\t0.903", + "20221207\t2023届高三02班\t0.828", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.690", + "20221207\t2023届高三05班\t0.600", + "20221207\t2023届高三07班\t0.679", + "20221207\t2023届高三06班\t0.676", + "20221207\t2023届高三08班\t0.667", + "20221207\t2023届高三09班\t0.700" + ], "origin": "2016届创新班作业\t3170-抛物线[2]", "edit": [ "20220625\t王伟叶" @@ -66266,10 +66351,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$x=\\dfrac 12$且$y>\\dfrac 12$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.429", + "20221207\t2023届高三11班\t0.227", + "20221207\t2023届高三12班\t0.318", + "20221207\t2023届高三01班\t0.714", + "20221207\t2023届高三03班\t0.480", + "20221207\t2023届高三04班\t0.464", + "20221207\t2023届高三05班\t0.513", + "20221207\t2023届高三06班\t0.278", + "20221207\t2023届高三07班\t0.406", + "20221207\t2023届高三08班\t0.393", + "20221207\t2023届高三09班\t0.367", + "20221207\t2023届高三02班\t0.452" + ], "origin": "2016届创新班作业\t3170-抛物线[2]", "edit": [ "20220625\t王伟叶" @@ -66410,10 +66508,23 @@ "抛物线" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.886", + "20221207\t2023届高三11班\t0.864", + "20221207\t2023届高三12班\t0.818", + "20221207\t2023届高三01班\t0.893", + "20221207\t2023届高三03班\t0.920", + "20221207\t2023届高三04班\t0.893", + "20221207\t2023届高三05班\t0.923", + "20221207\t2023届高三06班\t0.972", + "20221207\t2023届高三07班\t0.781", + "20221207\t2023届高三08班\t0.857", + "20221207\t2023届高三09班\t0.933", + "20221207\t2023届高三02班\t0.871" + ], "origin": "2016届创新班作业\t3171-抛物线[3]", "edit": [ "20220625\t王伟叶" @@ -66458,10 +66569,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{11}}2-1$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.686", + "20221207\t2023届高三11班\t0.600", + "20221207\t2023届高三12班\t0.500", + "20221207\t2023届高三01班\t0.871", + "20221207\t2023届高三02班\t0.517", + "20221207\t2023届高三03班\t0.750", + "20221207\t2023届高三04班\t0.828", + "20221207\t2023届高三05班\t0.675", + "20221207\t2023届高三07班\t0.714", + "20221207\t2023届高三06班\t0.765", + "20221207\t2023届高三08班\t0.833", + "20221207\t2023届高三09班\t0.700" + ], "origin": "2016届创新班作业\t3171-抛物线[3]", "edit": [ "20220625\t王伟叶" @@ -66531,10 +66655,23 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "$3\\sqrt{2}$或$5\\sqrt{2}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.686", + "20221207\t2023届高三11班\t0.591", + "20221207\t2023届高三12班\t0.818", + "20221207\t2023届高三01班\t0.714", + "20221207\t2023届高三03班\t0.720", + "20221207\t2023届高三04班\t0.750", + "20221207\t2023届高三05班\t0.821", + "20221207\t2023届高三06班\t0.833", + "20221207\t2023届高三07班\t0.688", + "20221207\t2023届高三08班\t0.679", + "20221207\t2023届高三09班\t0.533", + "20221207\t2023届高三02班\t0.806" + ], "origin": "2016届创新班作业\t3171-抛物线[3]", "edit": [ "20220625\t王伟叶" @@ -66660,12 +66797,24 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "(1) $y=2x-3$; (2) $y=2x-3$或$y=-\\dfrac 23 x-\\dfrac 13$", "solution": "", "duration": -1, "usages": [ "2016届11班\t0.949\t0.846", - "2016届12班\t0.921\t0.763" + "2016届12班\t0.921\t0.763", + "20221207\t2023届高三10班\t0.857\t0.714", + "20221207\t2023届高三11班\t0.955\t0.909", + "20221207\t2023届高三12班\t0.864\t0.727", + "20221207\t2023届高三01班\t0.857\t0.464", + "20221207\t2023届高三03班\t0.960\t0.800", + "20221207\t2023届高三04班\t0.750\t0.607", + "20221207\t2023届高三05班\t0.897\t0.718", + "20221207\t2023届高三06班\t0.750\t0.694", + "20221207\t2023届高三07班\t0.812\t0.562", + "20221207\t2023届高三08班\t0.821\t0.643", + "20221207\t2023届高三09班\t0.900\t0.733", + "20221207\t2023届高三02班\t0.710\t0.774" ], "origin": "2016届创新班作业\t4102-圆锥曲线的切线", "edit": [ @@ -66688,7 +66837,7 @@ "双曲线" ], "genre": "解答题", - "ans": "", + "ans": "(1) $y=\\sqrt{3}x+1$; (2) $y=\\dfrac{1+\\sqrt{7}}2x+\\dfrac{1-\\sqrt{7}}2$或$y=\\dfrac{1-\\sqrt{7}}2x+\\dfrac{1+\\sqrt{7}}2$", "solution": "", "duration": -1, "usages": [ @@ -69649,7 +69798,7 @@ "排列" ], "genre": "填空题", - "ans": "", + "ans": "$5$", "solution": "", "duration": -1, "usages": [ @@ -71034,7 +71183,7 @@ "排列" ], "genre": "填空题", - "ans": "", + "ans": "$60$", "solution": "", "duration": -1, "usages": [ @@ -71112,7 +71261,7 @@ "加法原理与乘法原理" ], "genre": "填空题", - "ans": "", + "ans": "$21$", "solution": "", "duration": -1, "usages": [ @@ -71599,7 +71748,7 @@ "二项式定理" ], "genre": "填空题", - "ans": "", + "ans": "$7$", "solution": "", "duration": -1, "usages": [ @@ -73336,10 +73485,23 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.914", + "20221207\t2023届高三11班\t0.650", + "20221207\t2023届高三12班\t0.917", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.931", + "20221207\t2023届高三03班\t0.929", + "20221207\t2023届高三04班\t1.000", + "20221207\t2023届高三05班\t0.950", + "20221207\t2023届高三07班\t0.964", + "20221207\t2023届高三06班\t0.941", + "20221207\t2023届高三08班\t0.833", + "20221207\t2023届高三09班\t0.767" + ], "origin": "2016届创新班作业\t4503-抛物线的两个直角和求交点时的数形结合", "edit": [ "20220625\t王伟叶" @@ -92036,7 +92198,7 @@ "双曲线" ], "genre": "填空题", - "ans": "", + "ans": "$\\arccos \\dfrac 13$", "solution": "", "duration": -1, "usages": [ @@ -92444,10 +92606,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "(1) $y^2=-\\dfrac 92x$或$x^2=\\dfrac 43 y$; (2) $y^2=-8x$或$x^2=-12y$; (3) $y^2=16x$或$x^2=-12y$; (4) $x^2=-8y$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.771\t0.714\t0.800\t0.771", + "20221207\t2023届高三11班\t0.650\t0.600\t0.700\t0.900", + "20221207\t2023届高三12班\t0.750\t0.750\t0.667\t0.750", + "20221207\t2023届高三01班\t0.839\t0.903\t0.871\t0.935", + "20221207\t2023届高三02班\t0.724\t0.793\t0.828\t0.759", + "20221207\t2023届高三03班\t0.607\t0.714\t0.714\t0.714", + "20221207\t2023届高三04班\t0.931\t0.897\t0.862\t0.862", + "20221207\t2023届高三05班\t0.775\t0.825\t0.850\t0.900", + "20221207\t2023届高三07班\t0.786\t0.643\t0.679\t0.714", + "20221207\t2023届高三06班\t0.794\t0.794\t0.853\t0.765", + "20221207\t2023届高三08班\t0.667\t0.767\t0.733\t0.833", + "20221207\t2023届高三09班\t0.867\t0.733\t0.600\t0.833" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -92468,10 +92643,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.514", + "20221207\t2023届高三11班\t0.545", + "20221207\t2023届高三12班\t0.591", + "20221207\t2023届高三01班\t0.357", + "20221207\t2023届高三03班\t0.520", + "20221207\t2023届高三04班\t0.821", + "20221207\t2023届高三05班\t0.564", + "20221207\t2023届高三06班\t0.667", + "20221207\t2023届高三07班\t0.469", + "20221207\t2023届高三08班\t0.643", + "20221207\t2023届高三09班\t0.400", + "20221207\t2023届高三02班\t0.387" + ], "origin": "2022届高三第一轮复习讲义", "edit": [ "20220701\t王伟叶" @@ -95734,7 +95922,7 @@ "排列" ], "genre": "填空题", - "ans": "", + "ans": "$\\mathrm{P}_{34-m}^8$", "solution": "", "duration": -1, "usages": [], @@ -96054,7 +96242,7 @@ "排列" ], "genre": "填空题", - "ans": "", + "ans": "$407$", "solution": "", "duration": -1, "usages": [], @@ -100596,7 +100784,7 @@ "二项式定理" ], "genre": "填空题", - "ans": "", + "ans": "$-2$", "solution": "", "duration": -1, "usages": [], @@ -100988,10 +101176,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.543", + "20221207\t2023届高三11班\t0.682", + "20221207\t2023届高三12班\t0.727", + "20221207\t2023届高三01班\t0.964", + "20221207\t2023届高三03班\t0.920", + "20221207\t2023届高三04班\t0.857", + "20221207\t2023届高三05班\t0.718", + "20221207\t2023届高三06班\t0.889", + "20221207\t2023届高三07班\t0.688", + "20221207\t2023届高三08班\t0.786", + "20221207\t2023届高三09班\t0.700", + "20221207\t2023届高三02班\t0.806" + ], "origin": "2016年双基百分百", "edit": [ "20220701\t王伟叶" @@ -102272,10 +102473,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.914", + "20221207\t2023届高三11班\t0.950", + "20221207\t2023届高三12班\t0.917", + "20221207\t2023届高三01班\t0.871", + "20221207\t2023届高三02班\t0.931", + "20221207\t2023届高三03班\t0.964", + "20221207\t2023届高三04班\t0.931", + "20221207\t2023届高三05班\t0.950", + "20221207\t2023届高三07班\t0.929", + "20221207\t2023届高三06班\t0.971", + "20221207\t2023届高三08班\t0.867", + "20221207\t2023届高三09班\t0.933" + ], "origin": "2016年双基百分百", "edit": [ "20220701\t王伟叶" @@ -106808,7 +107022,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -115167,7 +115381,7 @@ "二项式定理" ], "genre": "填空题", - "ans": "", + "ans": "$(8,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -119564,11 +119778,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ - "20211123\t2022届高三01班\t0.976" + "20211123\t2022届高三01班\t0.976", + "20221207\t2023届高三10班\t0.971", + "20221207\t2023届高三11班\t0.800", + "20221207\t2023届高三12班\t0.917", + "20221207\t2023届高三01班\t0.968", + "20221207\t2023届高三02班\t0.897", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.966", + "20221207\t2023届高三05班\t0.975", + "20221207\t2023届高三07班\t0.750", + "20221207\t2023届高三06班\t0.971", + "20221207\t2023届高三08班\t0.867", + "20221207\t2023届高三09班\t0.867" ], "origin": "2022届高三上学期测验卷08第7题", "edit": [ @@ -121018,11 +121244,23 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\sqrt{3}$; (2) $|MN|=2$是定值; (3) 最大值为$2\\sqrt{2}$, 圆的方程为$(x-\\sqrt{2})^2+(y-1)^2=2$或$(x+\\sqrt{2})^2+(y-1)^2=2$", "solution": "", "duration": -1, "usages": [ - "20211214\t2022届高三01班\t0.965\t0.981\t0.671" + "20211214\t2022届高三01班\t0.965\t0.981\t0.671", + "20221207\t2023届高三10班\t1.000\t0.829\t0.429", + "20221207\t2023届高三11班\t0.950\t0.800\t0.050", + "20221207\t2023届高三12班\t1.000\t0.750\t0.167", + "20221207\t2023届高三01班\t0.935\t1.000\t0.548", + "20221207\t2023届高三02班\t0.862\t0.897\t0.345", + "20221207\t2023届高三03班\t0.964\t0.857\t0.321", + "20221207\t2023届高三04班\t0.897\t0.862\t0.345", + "20221207\t2023届高三05班\t0.825\t0.875\t0.400", + "20221207\t2023届高三07班\t0.964\t0.786\t0.250", + "20221207\t2023届高三06班\t0.971\t0.882\t0.265", + "20221207\t2023届高三08班\t0.900\t0.767\t0.300", + "20221207\t2023届高三09班\t0.800\t0.667\t0.100" ], "origin": "2022届高三上学期测验卷10第20题", "edit": [ @@ -186729,7 +186967,7 @@ "组合" ], "genre": "解答题", - "ans": "", + "ans": "$36$", "solution": "设$4$件奖品为$a$, $b$, $c$, $d$, 显然, 要将它们分成$2, 1, 1$三组, 因此第一步是组合, 得$\\mathrm{C}_4^2$; 我们假定$\\{a,b\\}\\{c\\}\\{d\\}$ 是一种组合, 再让它们坐到甲、乙、丙三个位置上去, 因此第二步是排列, 得$\\mathrm{P}_3^3$.\n所以不同的奖励法共有$N=\\mathrm{C}_4^2\\mathrm{P}_3^3=36$(种).", "duration": -1, "usages": [], @@ -186841,7 +187079,7 @@ "加法原理与乘法原理" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -186885,7 +187123,7 @@ "加法原理与乘法原理" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -186951,7 +187189,7 @@ "加法原理与乘法原理" ], "genre": "填空题", - "ans": "", + "ans": "$63$", "solution": "", "duration": -1, "usages": [], @@ -187061,7 +187299,7 @@ "加法原理与乘法原理" ], "genre": "填空题", - "ans": "", + "ans": "$13$", "solution": "", "duration": -1, "usages": [], @@ -188115,7 +188353,7 @@ "排列" ], "genre": "解答题", - "ans": "", + "ans": "(1) $37440$; (2) $4320$; (3) $14400$; (4) $6720$", "solution": "", "duration": -1, "usages": [], @@ -188646,7 +188884,7 @@ "组合" ], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [], @@ -188719,7 +188957,7 @@ "组合" ], "genre": "填空题", - "ans": "", + "ans": "$5985$", "solution": "", "duration": -1, "usages": [], @@ -189995,7 +190233,7 @@ "组合" ], "genre": "解答题", - "ans": "", + "ans": "$120$", "solution": "", "duration": -1, "usages": [], @@ -190475,7 +190713,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "$\\mathrm{C}_{2n+1}^n$", "solution": "解法一 考虑$(1+x)^k$($n\\le k\\le 2n$)展开式的通项, 在$T_{r+1}=\\mathrm{C}_k^rx^r$中, 令$r=n$, 得$T_{n-1}=\\mathrm{C}_k^nx^n$, 故$x^n$项的系数为\n\\begin{align*} \\mathrm{C}_n^n+\\mathrm{C}_{n+1}^n+\\mathrm{C}_{n+2}^n+\\cdots +\\mathrm{C}_{2n}^n&=\\mathrm{C}_{n+1}^{n+1}+\\mathrm{C}_{n+1}^n+\\mathrm{C}_{n+2}^n+\\cdots +\\mathrm{C}_{2n}^n\\\\\n&=\\mathrm{C}_{n+2}^{n+1}+\\mathrm{C}_{n+2}^n+\\cdots +\\mathrm{C}_{2n}^n \\\\ &=\\cdots =\\mathrm{C}_{2n}^{n+1}+\\mathrm{C}_{2n}^n \\\\ &=\\mathrm{C}_{2n+1}^{n+1}.\n\\end{align*}\n解法二 题中的多项式是以$(1+x)$为公比、项数为$2n$的等比数列的和, 于是, 当$x\\ne 0$时, 原式$=\\dfrac{(1+x)[(1+x)^{2n}-1]}{(1+x)-1}=\\dfrac{(1+x)^{2n+1}-(1+x)}x$.\n因此, 只需求$(1+x)^{2n+1}$的展开式中含$x^{n+1}$项的系数即可.\n而$(1+x)^{2n+1}$展开式的通项为$T_{r+1}=\\mathrm{C}_{2n+1}^rx^r$, 令$r=n+1$, 得$T_{n+2}=\\mathrm{C}_{2n-1}^{n+1}x^{n+1}$\n所以题中含$x^n$项的系数为$\\mathrm{C}_{2n-1}^{n+1}$.", "duration": -1, "usages": [], @@ -190501,7 +190739,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "有$17$项是有理项", "solution": "考虑$(x^{\\frac 12}+x^{-\\frac 13})^{100}$展开式的通项$T_{r+1}=\\mathrm{C}_{100}^rx^{\\frac{100-r}2}\\cdot (x^{-\\frac 13})^r=\\mathrm{C}_{100}^rx^{50-\\dfrac{3r}6}$.\n令$r=6k$($k\\in \\mathbf{Z}$), 则$0\\le 6k\\le 100$, 即$r=0,6,12,\\cdots ,96$.\n因此共有$17$个有理项.", "duration": -1, "usages": [], @@ -190675,7 +190913,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "记$S_n=0\\mathrm{C}_n^0+1\\cdot \\mathrm{C}_n^1+2\\mathrm{C}_n^2+3\\mathrm{C}_n^3+\\cdots +(n-1)\\mathrm{C}_n^{n-1}+n\\mathrm{C}_n^n$,\n又$S_n=n\\mathrm{C}_n^n+(n-1)\\mathrm{C}_n^{n-1}+\\cdots +1\\cdot \\mathrm{C}_n^1+0\\mathrm{C}_n^0$,\n两式相加, 并利用$\\mathrm{C}_n^m=\\mathrm{C}_n^{n-m}$, 得$2S_n=n(\\mathrm{C}_n^0+\\mathrm{C}_n^1+\\mathrm{C}_n^2+\\cdots +\\mathrm{C}_n^n)=n\\cdot 2^n$,\n所以$S_n=n\\cdot 2^{n-1}$($n\\in \\mathbf{N}$).", "duration": -1, "usages": [], @@ -190773,7 +191011,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "余数为$8$", "solution": "因为$53^{53}=(54-1)^{53}$\n\\blank{50}$=54^{53}-\\mathrm{C}_{53}^1\\cdot 54^{52}+\\mathrm{C}_{53}^2\\cdot 54^{51}-\\mathrm{C}_{53}^3\\cdot 54^{50}+\\cdots +\\mathrm{C}_{53}^{52}\\cdot 54-1$\n\\blank{50}$=9A-1=9A-9+8=9B+8$($A,B\\in \\mathbf{Z}$),\n所以所求余数为8.", "duration": -1, "usages": [], @@ -191650,7 +191888,7 @@ "二项式定理" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -191768,7 +192006,7 @@ "二项式定理" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -191816,7 +192054,7 @@ "二项式定理" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -192989,7 +193227,7 @@ "二项式定理" ], "genre": "填空题", - "ans": "", + "ans": "0", "solution": "", "duration": -1, "usages": [], @@ -193015,7 +193253,7 @@ "二项式定理" ], "genre": "填空题", - "ans": "", + "ans": "$-140-100\\sqrt{2}$", "solution": "", "duration": -1, "usages": [], @@ -193252,7 +193490,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -193302,7 +193540,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "$a$的最小正值为$4$", "solution": "", "duration": -1, "usages": [], @@ -193350,7 +193588,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -193719,7 +193957,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -223056,7 +223294,7 @@ "椭圆" ], "genre": "填空题", - "ans": "", + "ans": "$[1,5)\\cup (5,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -223459,7 +223697,7 @@ "双曲线" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -223518,7 +223756,7 @@ "双曲线" ], "genre": "解答题", - "ans": "", + "ans": "$x^2-\\dfrac{y^2}9=1$或$\\dfrac{y^2}{81}-\\dfrac{x^2}9=1$", "solution": "", "duration": -1, "usages": [ @@ -223800,10 +224038,23 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t1.000", + "20221207\t2023届高三11班\t0.955", + "20221207\t2023届高三12班\t0.955", + "20221207\t2023届高三01班\t0.857", + "20221207\t2023届高三03班\t0.960", + "20221207\t2023届高三04班\t0.964", + "20221207\t2023届高三05班\t0.974", + "20221207\t2023届高三06班\t0.944", + "20221207\t2023届高三07班\t0.812", + "20221207\t2023届高三08班\t1.000", + "20221207\t2023届高三09班\t0.933", + "20221207\t2023届高三02班\t0.935" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶", @@ -223879,10 +224130,23 @@ "抛物线" ], "genre": "填空题", - "ans": "", + "ans": "$(0,-8)$, $y=8$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.943\t0.829", + "20221207\t2023届高三11班\t1.000\t1.000", + "20221207\t2023届高三12班\t0.909\t0.909", + "20221207\t2023届高三01班\t1.000\t0.964", + "20221207\t2023届高三03班\t0.880\t1.000", + "20221207\t2023届高三04班\t0.929\t0.857", + "20221207\t2023届高三05班\t1.000\t0.897", + "20221207\t2023届高三06班\t1.000\t1.000", + "20221207\t2023届高三07班\t0.906\t0.844", + "20221207\t2023届高三08班\t1.000\t0.964", + "20221207\t2023届高三09班\t0.967\t1.000", + "20221207\t2023届高三02班\t0.968\t0.935" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶" @@ -224141,7 +224405,7 @@ }, "008937": { "id": "008937", - "content": "``太阳火''(sunfire)是一种利用太阳能的装置, 其截面是抛物线形状, 如图所示. ``太阳火''依靠抛物线形状的镜面把反射的太阳光聚焦于抛物线的焦点处的锅炉, 加热产生的蒸汽推动汽轮发电机产生电能. 根据图中所注尺寸, 求``太阳火''装置中截面抛物线的方程.\n\\begin{center}\n \\begin{tikzpicture}[scale = 0.15,>=latex]\n \\draw [domain = -18.5:18.5] plot (\\x,{\\x*\\x/40});\n \\filldraw [fill = gray!50, draw = black] (0,10) ellipse (2 and 1);\n \\draw (-2,10) -- (2,10);\n \\draw [->] (20,7) -- (20,10);\n \\draw [->] (20,3) -- (20,0);\n \\draw (19.5,0) -- (20.5,0) (19.5,10) -- (20.5,10);\n \\draw [dashed] (2,10) -- (19.5,10);\n \\draw (20,5) node {$10$英尺};\n \\draw [->] (-6,-2) -- (-18.5,-2);\n \\draw [->] (6,-2) -- (18.5,-2);\n \\draw (0,-2) node {$37$英尺};\n \\draw (-18.5,-1.5) -- (-18.5,-2.5) (18.5,-1.5) -- (18.5, -2.5);\n \\draw [dashed] (0,0) -- (0,10);\n \\draw (-2,10) node [left] {锅炉};\n \\end{tikzpicture}\n\\end{center}", + "content": "``太阳火''(sunfire)是一种利用太阳能的装置, 其截面是抛物线的一部分, 如图所示. ``太阳火''依靠抛物线形状的镜面把反射的太阳光聚焦于抛物线的焦点处的锅炉, 加热产生的蒸汽推动汽轮发电机产生电能. 根据图中所注尺寸, 求``太阳火''装置中截面曲线的方程.\n\\begin{center}\n \\begin{tikzpicture}[scale = 0.15,>=latex]\n \\draw [domain = -18.5:18.5] plot (\\x,{\\x*\\x/40});\n \\filldraw [fill = gray!50, draw = black] (0,10) ellipse (2 and 1);\n \\draw (-2,10) -- (2,10);\n \\draw [->] (20,7) -- (20,10);\n \\draw [->] (20,3) -- (20,0);\n \\draw (19.5,0) -- (20.5,0) (19.5,10) -- (20.5,10);\n \\draw [dashed] (2,10) -- (19.5,10);\n \\draw (20,5) node {$10$英尺};\n \\draw [->] (-6,-2) -- (-18.5,-2);\n \\draw [->] (6,-2) -- (18.5,-2);\n \\draw (0,-2) node {$37$英尺};\n \\draw (-18.5,-1.5) -- (-18.5,-2.5) (18.5,-1.5) -- (18.5, -2.5);\n \\draw [dashed] (0,0) -- (0,10);\n \\draw (-2,10) node [left] {锅炉};\n \\end{tikzpicture}\n\\end{center}", "objs": [ "K0720004X" ], @@ -224150,10 +224414,23 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "$x^2=40y$, $x\\in [-\\dfrac{37}2,\\dfrac{37}2]$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.257", + "20221207\t2023届高三11班\t0.773", + "20221207\t2023届高三12班\t0.818", + "20221207\t2023届高三01班\t0.464", + "20221207\t2023届高三03班\t0.880", + "20221207\t2023届高三04班\t0.786", + "20221207\t2023届高三05班\t0.949", + "20221207\t2023届高三06班\t0.472", + "20221207\t2023届高三07班\t1.000", + "20221207\t2023届高三08班\t0.357", + "20221207\t2023届高三09班\t0.767", + "20221207\t2023届高三02班\t0.387" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶" @@ -224636,10 +224913,23 @@ "抛物线" ], "genre": "解答题", - "ans": "", + "ans": "$y^2=-12x$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.657", + "20221207\t2023届高三11班\t0.864", + "20221207\t2023届高三12班\t0.773", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三03班\t0.760", + "20221207\t2023届高三04班\t0.857", + "20221207\t2023届高三05班\t0.897", + "20221207\t2023届高三06班\t0.806", + "20221207\t2023届高三07班\t0.875", + "20221207\t2023届高三08班\t0.857", + "20221207\t2023届高三09班\t0.733", + "20221207\t2023届高三02班\t0.742" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶" @@ -227387,10 +227677,23 @@ "抛物线" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.971", + "20221207\t2023届高三11班\t1.000", + "20221207\t2023届高三12班\t0.955", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.929", + "20221207\t2023届高三05班\t0.974", + "20221207\t2023届高三06班\t0.972", + "20221207\t2023届高三07班\t0.969", + "20221207\t2023届高三08班\t1.000", + "20221207\t2023届高三09班\t0.967", + "20221207\t2023届高三02班\t1.000" + ], "origin": "二期课改练习册高二第二学期", "edit": [ "20220726\t王伟叶" @@ -231289,7 +231592,7 @@ "加法原理与乘法原理" ], "genre": "解答题", - "ans": "", + "ans": "$100$", "solution": "", "duration": -1, "usages": [], @@ -233612,7 +233915,7 @@ "概率" ], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{3439}{10000}$", "solution": "", "duration": -1, "usages": [], @@ -244499,7 +244802,7 @@ "椭圆" ], "genre": "解答题", - "ans": "", + "ans": "最大值为$10$, 最小值为$2$", "solution": "", "duration": -1, "usages": [ @@ -247244,7 +247547,7 @@ "排列" ], "genre": "解答题", - "ans": "", + "ans": "$15$", "solution": "", "duration": -1, "usages": [], @@ -247540,7 +247843,7 @@ "二项式定理" ], "genre": "解答题", - "ans": "", + "ans": "(1) 系数最大的项为$672x^5$; (2) 系数最大的项为$560x^4$", "solution": "", "duration": -1, "usages": [], @@ -269356,7 +269659,7 @@ "组合" ], "genre": "解答题", - "ans": "", + "ans": "$2174$", "solution": "", "duration": -1, "usages": [], @@ -273025,7 +273328,8 @@ "20221202\t2023届高三06班\t1.000", "20221202\t2023届高三07班\t0.931", "20221202\t2023届高三08班\t0.968", - "20221202\t2023届高三09班\t0.970" + "20221202\t2023届高三09班\t0.970", + "20221207\t2023届高三05班\t1.000" ], "origin": "2022届高三上学期周末卷6试题6", "edit": [ @@ -275115,7 +275419,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t1.000", + "20221207\t2023届高三12班\t1.000", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.966", + "20221207\t2023届高三03班\t0.960", + "20221207\t2023届高三04班\t1.000", + "20221207\t2023届高三05班\t0.974", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t0.962", + "20221207\t2023届高三09班\t1.000" + ], "origin": "2022届高三上学期周末卷12试题1", "edit": [ "20220817\t王伟叶" @@ -275146,7 +275461,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t1.000", + "20221207\t2023届高三12班\t1.000", + "20221207\t2023届高三01班\t0.966", + "20221207\t2023届高三02班\t0.897", + "20221207\t2023届高三03班\t0.960", + "20221207\t2023届高三04班\t1.000", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t0.921", + "20221207\t2023届高三07班\t1.000", + "20221207\t2023届高三09班\t0.950" + ], "origin": "2022届高三上学期周末卷12试题2", "edit": [ "20220817\t王伟叶" @@ -275202,7 +275528,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.722", + "20221207\t2023届高三12班\t0.429", + "20221207\t2023届高三01班\t0.828", + "20221207\t2023届高三02班\t0.724", + "20221207\t2023届高三03班\t0.680", + "20221207\t2023届高三04班\t0.462", + "20221207\t2023届高三05班\t0.667", + "20221207\t2023届高三06班\t0.553", + "20221207\t2023届高三07班\t0.731", + "20221207\t2023届高三09班\t0.450" + ], "origin": "2022届高三上学期周末卷12试题4", "edit": [ "20220817\t王伟叶" @@ -275225,7 +275562,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t1.000", + "20221207\t2023届高三12班\t0.952", + "20221207\t2023届高三01班\t0.966", + "20221207\t2023届高三02班\t1.000", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.962", + "20221207\t2023届高三05班\t0.974", + "20221207\t2023届高三06班\t0.921", + "20221207\t2023届高三07班\t0.962", + "20221207\t2023届高三09班\t0.900" + ], "origin": "2022届高三上学期周末卷12试题5", "edit": [ "20220817\t王伟叶" @@ -275246,7 +275594,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.917", + "20221207\t2023届高三12班\t0.952", + "20221207\t2023届高三01班\t0.966", + "20221207\t2023届高三02班\t0.897", + "20221207\t2023届高三03班\t0.880", + "20221207\t2023届高三04班\t0.923", + "20221207\t2023届高三05班\t0.949", + "20221207\t2023届高三06班\t0.816", + "20221207\t2023届高三07班\t0.885", + "20221207\t2023届高三09班\t0.950" + ], "origin": "2022届高三上学期周末卷12试题6", "edit": [ "20220817\t王伟叶" @@ -275269,7 +275628,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.917", + "20221207\t2023届高三12班\t0.905", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.897", + "20221207\t2023届高三03班\t0.920", + "20221207\t2023届高三04班\t0.885", + "20221207\t2023届高三05班\t0.923", + "20221207\t2023届高三06班\t0.921", + "20221207\t2023届高三07班\t0.923", + "20221207\t2023届高三09班\t0.900" + ], "origin": "2022届高三上学期周末卷12试题7", "edit": [ "20220817\t王伟叶", @@ -275291,7 +275661,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.972", + "20221207\t2023届高三12班\t1.000", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t1.000", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t1.000", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t0.962", + "20221207\t2023届高三09班\t1.000" + ], "origin": "2022届高三上学期周末卷12试题8", "edit": [ "20220817\t王伟叶" @@ -275314,7 +275695,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.889", + "20221207\t2023届高三12班\t0.952", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.724", + "20221207\t2023届高三03班\t0.880", + "20221207\t2023届高三04班\t0.846", + "20221207\t2023届高三05班\t0.949", + "20221207\t2023届高三06班\t0.895", + "20221207\t2023届高三07班\t0.846", + "20221207\t2023届高三09班\t1.000" + ], "origin": "2022届高三上学期周末卷12试题9", "edit": [ "20220817\t王伟叶" @@ -275337,7 +275729,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.806", + "20221207\t2023届高三12班\t0.762", + "20221207\t2023届高三01班\t0.931", + "20221207\t2023届高三02班\t0.897", + "20221207\t2023届高三03班\t0.840", + "20221207\t2023届高三04班\t0.769", + "20221207\t2023届高三05班\t0.846", + "20221207\t2023届高三06班\t0.895", + "20221207\t2023届高三07班\t0.808", + "20221207\t2023届高三09班\t0.850" + ], "origin": "2022届高三上学期周末卷12试题10", "edit": [ "20220817\t王伟叶" @@ -275381,7 +275784,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.139", + "20221207\t2023届高三12班\t0.286", + "20221207\t2023届高三01班\t0.621", + "20221207\t2023届高三02班\t0.241", + "20221207\t2023届高三03班\t0.080", + "20221207\t2023届高三04班\t0.615", + "20221207\t2023届高三05班\t0.385", + "20221207\t2023届高三06班\t0.263", + "20221207\t2023届高三07班\t0.154", + "20221207\t2023届高三09班\t0.050" + ], "origin": "2022届高三上学期周末卷12试题12", "edit": [ "20220817\t王伟叶" @@ -275402,7 +275816,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.944", + "20221207\t2023届高三12班\t0.905", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.966", + "20221207\t2023届高三03班\t0.960", + "20221207\t2023届高三04班\t0.923", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t0.921", + "20221207\t2023届高三07班\t0.885", + "20221207\t2023届高三09班\t0.950" + ], "origin": "2022届高三上学期周末卷12试题13", "edit": [ "20220817\t王伟叶" @@ -275423,7 +275848,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.944", + "20221207\t2023届高三12班\t0.857", + "20221207\t2023届高三01班\t0.828", + "20221207\t2023届高三02班\t0.862", + "20221207\t2023届高三03班\t0.960", + "20221207\t2023届高三04班\t0.923", + "20221207\t2023届高三05班\t0.897", + "20221207\t2023届高三06班\t0.921", + "20221207\t2023届高三07班\t0.962", + "20221207\t2023届高三09班\t0.900" + ], "origin": "2022届高三上学期周末卷12试题14", "edit": [ "20220817\t王伟叶" @@ -275444,7 +275880,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.944", + "20221207\t2023届高三12班\t0.952", + "20221207\t2023届高三01班\t0.966", + "20221207\t2023届高三02班\t0.966", + "20221207\t2023届高三03班\t0.960", + "20221207\t2023届高三04班\t0.923", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t0.885", + "20221207\t2023届高三09班\t1.000" + ], "origin": "2022届高三上学期周末卷12试题15", "edit": [ "20220817\t王伟叶" @@ -275466,7 +275913,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.722", + "20221207\t2023届高三12班\t0.762", + "20221207\t2023届高三01班\t0.966", + "20221207\t2023届高三02班\t0.793", + "20221207\t2023届高三03班\t0.840", + "20221207\t2023届高三04班\t0.769", + "20221207\t2023届高三05班\t0.872", + "20221207\t2023届高三06班\t0.737", + "20221207\t2023届高三07班\t0.538", + "20221207\t2023届高三09班\t0.750" + ], "origin": "2022届高三上学期周末卷12试题16", "edit": [ "20220817\t王伟叶" @@ -275487,7 +275945,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t1.000\t0.972", + "20221207\t2023届高三12班\t1.000\t0.988", + "20221207\t2023届高三01班\t1.000\t1.000", + "20221207\t2023届高三02班\t0.989\t0.948", + "20221207\t2023届高三03班\t1.000\t0.920", + "20221207\t2023届高三04班\t1.000\t0.885", + "20221207\t2023届高三05班\t1.000\t0.974", + "20221207\t2023届高三06班\t1.000\t0.895", + "20221207\t2023届高三07班\t0.974\t0.923", + "20221207\t2023届高三09班\t1.000\t0.875" + ], "origin": "2022届高三上学期周末卷12试题17", "edit": [ "20220817\t王伟叶" @@ -275508,7 +275977,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.972\t0.903", + "20221207\t2023届高三12班\t0.905\t0.833", + "20221207\t2023届高三01班\t1.000\t0.966", + "20221207\t2023届高三02班\t0.971\t0.892", + "20221207\t2023届高三03班\t0.960\t0.600", + "20221207\t2023届高三04班\t1.000\t0.654", + "20221207\t2023届高三05班\t0.949\t0.769", + "20221207\t2023届高三06班\t0.947\t0.750", + "20221207\t2023届高三07班\t0.923\t0.500", + "20221207\t2023届高三09班\t1.000\t0.675" + ], "origin": "2022届高三上学期周末卷12试题18", "edit": [ "20220817\t王伟叶" @@ -275529,7 +276009,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.861\t0.677", + "20221207\t2023届高三12班\t0.913\t0.809", + "20221207\t2023届高三01班\t1.000\t1.000", + "20221207\t2023届高三02班\t0.764\t0.802", + "20221207\t2023届高三03班\t0.400\t0.840", + "20221207\t2023届高三04班\t0.083\t0.269", + "20221207\t2023届高三05班\t0.385\t0.837", + "20221207\t2023届高三06班\t0.807\t0.888", + "20221207\t2023届高三07班\t0.038\t0.269", + "20221207\t2023届高三09班\t0.950\t0.425" + ], "origin": "2022届高三上学期周末卷12试题19", "edit": [ "20220817\t王伟叶" @@ -275550,7 +276041,18 @@ "ans": "", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.840\t0.722\t0.333", + "20221207\t2023届高三12班\t0.881\t0.762\t0.095", + "20221207\t2023届高三01班\t1.000\t0.971\t0.828", + "20221207\t2023届高三02班\t0.879\t0.868\t0.349", + "20221207\t2023届高三03班\t0.920\t0.800\t0.400", + "20221207\t2023届高三04班\t0.962\t0.808\t0.308", + "20221207\t2023届高三05班\t0.872\t0.795\t0.333", + "20221207\t2023届高三06班\t0.855\t0.816\t0.158", + "20221207\t2023届高三07班\t0.923\t0.718\t0.115", + "20221207\t2023届高三09班\t0.700\t0.600\t0.000" + ], "origin": "2022届高三上学期周末卷12试题20", "edit": [ "20220817\t王伟叶" @@ -278344,7 +278846,7 @@ "组合" ], "genre": "填空题", - "ans": "", + "ans": "$48$", "solution": "", "duration": -1, "usages": [], @@ -281404,7 +281906,7 @@ "二项式定理" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -288403,7 +288905,7 @@ "概率" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 1{15}$", "solution": "", "duration": -1, "usages": [], @@ -298041,7 +298543,20 @@ "ans": "$\\{-1,0\\}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.838", + "20221207\t2023届高三11班\t0.826", + "20221207\t2023届高三12班\t0.792", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.839", + "20221207\t2023届高三03班\t0.793", + "20221207\t2023届高三04班\t0.900", + "20221207\t2023届高三05班\t0.800", + "20221207\t2023届高三06班\t0.897", + "20221207\t2023届高三07班\t0.706", + "20221207\t2023届高三08班\t0.839", + "20221207\t2023届高三09班\t0.812" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题1", "edit": [ "20221202\t王伟叶" @@ -298060,7 +298575,20 @@ "ans": "$2$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.946", + "20221207\t2023届高三11班\t1.000", + "20221207\t2023届高三12班\t0.917", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t1.000", + "20221207\t2023届高三03班\t0.931", + "20221207\t2023届高三04班\t0.967", + "20221207\t2023届高三05班\t0.925", + "20221207\t2023届高三06班\t1.000", + "20221207\t2023届高三07班\t0.853", + "20221207\t2023届高三08班\t0.935", + "20221207\t2023届高三09班\t0.938" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题2", "edit": [ "20221202\t王伟叶" @@ -298079,7 +298607,20 @@ "ans": "$(1,-2,-3)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.946", + "20221207\t2023届高三11班\t1.000", + "20221207\t2023届高三12班\t1.000", + "20221207\t2023届高三01班\t0.968", + "20221207\t2023届高三02班\t0.935", + "20221207\t2023届高三03班\t0.897", + "20221207\t2023届高三04班\t1.000", + "20221207\t2023届高三05班\t0.950", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t0.971", + "20221207\t2023届高三08班\t0.968", + "20221207\t2023届高三09班\t0.938" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题3", "edit": [ "20221202\t王伟叶" @@ -298098,7 +298639,20 @@ "ans": "$3$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.865", + "20221207\t2023届高三11班\t0.826", + "20221207\t2023届高三12班\t0.667", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.871", + "20221207\t2023届高三03班\t0.897", + "20221207\t2023届高三04班\t0.933", + "20221207\t2023届高三05班\t0.950", + "20221207\t2023届高三06班\t0.923", + "20221207\t2023届高三07班\t0.882", + "20221207\t2023届高三08班\t0.968", + "20221207\t2023届高三09班\t0.875" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题4", "edit": [ "20221202\t王伟叶" @@ -298117,7 +298671,20 @@ "ans": "$69$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.784", + "20221207\t2023届高三11班\t0.826", + "20221207\t2023届高三12班\t0.792", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.935", + "20221207\t2023届高三03班\t0.793", + "20221207\t2023届高三04班\t0.900", + "20221207\t2023届高三05班\t0.925", + "20221207\t2023届高三06班\t0.846", + "20221207\t2023届高三07班\t0.882", + "20221207\t2023届高三08班\t0.871", + "20221207\t2023届高三09班\t0.812" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题5", "edit": [ "20221202\t王伟叶" @@ -298136,7 +298703,20 @@ "ans": "$-\\dfrac 43$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.946", + "20221207\t2023届高三11班\t1.000", + "20221207\t2023届高三12班\t1.000", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.968", + "20221207\t2023届高三03班\t0.931", + "20221207\t2023届高三04班\t1.000", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t1.000", + "20221207\t2023届高三07班\t0.912", + "20221207\t2023届高三08班\t0.968", + "20221207\t2023届高三09班\t0.969" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题6", "edit": [ "20221202\t王伟叶" @@ -298155,7 +298735,20 @@ "ans": "$\\dfrac 12$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.649", + "20221207\t2023届高三11班\t0.913", + "20221207\t2023届高三12班\t0.833", + "20221207\t2023届高三01班\t0.806", + "20221207\t2023届高三02班\t0.935", + "20221207\t2023届高三03班\t0.862", + "20221207\t2023届高三04班\t0.900", + "20221207\t2023届高三05班\t0.825", + "20221207\t2023届高三06班\t0.923", + "20221207\t2023届高三07班\t0.765", + "20221207\t2023届高三08班\t0.903", + "20221207\t2023届高三09班\t0.781" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题7", "edit": [ "20221202\t王伟叶" @@ -298174,7 +298767,20 @@ "ans": "$\\dfrac\\pi 6$或$\\dfrac{5\\pi}6$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.297", + "20221207\t2023届高三11班\t0.174", + "20221207\t2023届高三12班\t0.417", + "20221207\t2023届高三01班\t0.839", + "20221207\t2023届高三02班\t0.677", + "20221207\t2023届高三03班\t0.552", + "20221207\t2023届高三04班\t0.433", + "20221207\t2023届高三05班\t0.375", + "20221207\t2023届高三06班\t0.641", + "20221207\t2023届高三07班\t0.235", + "20221207\t2023届高三08班\t0.387", + "20221207\t2023届高三09班\t0.219" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题8", "edit": [ "20221202\t王伟叶" @@ -298193,7 +298799,20 @@ "ans": "$(-3,-1)\\cup (0,1)$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.432", + "20221207\t2023届高三11班\t0.304", + "20221207\t2023届高三12班\t0.708", + "20221207\t2023届高三01班\t0.839", + "20221207\t2023届高三02班\t0.645", + "20221207\t2023届高三03班\t0.448", + "20221207\t2023届高三04班\t0.533", + "20221207\t2023届高三05班\t0.575", + "20221207\t2023届高三06班\t0.513", + "20221207\t2023届高三07班\t0.471", + "20221207\t2023届高三08班\t0.452", + "20221207\t2023届高三09班\t0.344" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题9", "edit": [ "20221202\t王伟叶" @@ -298212,7 +298831,20 @@ "ans": "$\\dfrac 6{25}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.595", + "20221207\t2023届高三11班\t0.522", + "20221207\t2023届高三12班\t0.542", + "20221207\t2023届高三01班\t0.968", + "20221207\t2023届高三02班\t0.581", + "20221207\t2023届高三03班\t0.690", + "20221207\t2023届高三04班\t0.533", + "20221207\t2023届高三05班\t0.700", + "20221207\t2023届高三06班\t0.615", + "20221207\t2023届高三07班\t0.588", + "20221207\t2023届高三08班\t0.581", + "20221207\t2023届高三09班\t0.562" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题10", "edit": [ "20221202\t王伟叶" @@ -298231,7 +298863,20 @@ "ans": "$\\sqrt{3}$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.676", + "20221207\t2023届高三11班\t0.565", + "20221207\t2023届高三12班\t0.750", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.871", + "20221207\t2023届高三03班\t0.862", + "20221207\t2023届高三04班\t0.800", + "20221207\t2023届高三05班\t0.925", + "20221207\t2023届高三06班\t0.846", + "20221207\t2023届高三07班\t0.588", + "20221207\t2023届高三08班\t0.839", + "20221207\t2023届高三09班\t0.781" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题11", "edit": [ "20221202\t王伟叶" @@ -298250,7 +298895,20 @@ "ans": "$(-1,1-\\sqrt{3}]$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.000", + "20221207\t2023届高三11班\t0.043", + "20221207\t2023届高三12班\t0.125", + "20221207\t2023届高三01班\t0.516", + "20221207\t2023届高三02班\t0.161", + "20221207\t2023届高三03班\t0.276", + "20221207\t2023届高三04班\t0.267", + "20221207\t2023届高三05班\t0.150", + "20221207\t2023届高三06班\t0.051", + "20221207\t2023届高三07班\t0.059", + "20221207\t2023届高三08班\t0.129", + "20221207\t2023届高三09班\t0.094" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题12", "edit": [ "20221202\t王伟叶" @@ -298269,7 +298927,20 @@ "ans": "B", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.973", + "20221207\t2023届高三11班\t0.957", + "20221207\t2023届高三12班\t1.000", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t1.000", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.967", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t1.000", + "20221207\t2023届高三08班\t1.000", + "20221207\t2023届高三09班\t1.000" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题13", "edit": [ "20221202\t王伟叶" @@ -298288,7 +298959,20 @@ "ans": "D", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.865", + "20221207\t2023届高三11班\t0.957", + "20221207\t2023届高三12班\t0.958", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t1.000", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.900", + "20221207\t2023届高三05班\t1.000", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t0.941", + "20221207\t2023届高三08班\t0.839", + "20221207\t2023届高三09班\t0.969" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题14", "edit": [ "20221202\t王伟叶" @@ -298307,7 +298991,20 @@ "ans": "C", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.540", + "20221207\t2023届高三11班\t0.696", + "20221207\t2023届高三12班\t0.750", + "20221207\t2023届高三01班\t1.000", + "20221207\t2023届高三02班\t0.968", + "20221207\t2023届高三03班\t1.000", + "20221207\t2023届高三04班\t0.933", + "20221207\t2023届高三05班\t0.875", + "20221207\t2023届高三06班\t0.974", + "20221207\t2023届高三07班\t0.794", + "20221207\t2023届高三08班\t0.839", + "20221207\t2023届高三09班\t0.781" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题15", "edit": [ "20221202\t王伟叶" @@ -298326,7 +299023,20 @@ "ans": "C", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.216", + "20221207\t2023届高三11班\t0.435", + "20221207\t2023届高三12班\t0.417", + "20221207\t2023届高三01班\t0.097", + "20221207\t2023届高三02班\t0.290", + "20221207\t2023届高三03班\t0.241", + "20221207\t2023届高三04班\t0.233", + "20221207\t2023届高三05班\t0.325", + "20221207\t2023届高三06班\t0.718", + "20221207\t2023届高三07班\t0.176", + "20221207\t2023届高三08班\t0.129", + "20221207\t2023届高三09班\t0.438" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题16", "edit": [ "20221202\t王伟叶" @@ -298345,7 +299055,20 @@ "ans": "(1) 公差为$3$; (2) $a_1$的所有可能的值为$18,19,20$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.978\t0.453", + "20221207\t2023届高三11班\t0.877\t0.652", + "20221207\t2023届高三12班\t1.000\t0.724", + "20221207\t2023届高三01班\t1.000\t0.694", + "20221207\t2023届高三02班\t1.000\t0.786", + "20221207\t2023届高三03班\t0.966\t0.638", + "20221207\t2023届高三04班\t0.956\t0.600", + "20221207\t2023届高三05班\t0.996\t0.681", + "20221207\t2023届高三06班\t0.983\t0.744", + "20221207\t2023届高三07班\t0.946\t0.574", + "20221207\t2023届高三08班\t1.000\t0.726", + "20221207\t2023届高三09班\t0.984\t0.484" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题17", "edit": [ "20221202\t王伟叶" @@ -298364,7 +299087,20 @@ "ans": "(1) 证明略; (2) $\\dfrac 13$", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.937\t0.679", + "20221207\t2023届高三11班\t0.986\t0.696", + "20221207\t2023届高三12班\t1.000\t0.802", + "20221207\t2023届高三01班\t0.882\t0.935", + "20221207\t2023届高三02班\t0.957\t0.847", + "20221207\t2023届高三03班\t0.989\t0.871", + "20221207\t2023届高三04班\t0.800\t0.883", + "20221207\t2023届高三05班\t1.000\t0.850", + "20221207\t2023届高三06班\t0.773\t0.952", + "20221207\t2023届高三07班\t0.892\t0.746", + "20221207\t2023届高三08班\t1.000\t0.944", + "20221207\t2023届高三09班\t1.000\t0.898" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题18", "edit": [ "20221202\t王伟叶" @@ -298383,7 +299119,20 @@ "ans": "(1) (示例)王先生可能需要考虑的因素有:\\\\\n\\textcircled{1} 未来月租金的变化;\\\\\n\\textcircled{2} 找到承租人的时长的变化;\\\\\n\\textcircled{3} 未来租客的租期长短;\\\\\n\\textcircled{4} 房屋是否未来三年内可以用于出租;\\\\\n\\textcircled{5} 换租客的过程中是否需要重新装修;\n\\textcircled{6} 寻租过程中的时间、精力成本等.\\\\\n(2) 言之有理即可", "solution": "", "duration": -1, - "usages": [], + "usages": [ + "20221207\t2023届高三10班\t0.878\t0.845", + "20221207\t2023届高三11班\t0.623\t0.538", + "20221207\t2023届高三12班\t0.847\t0.740", + "20221207\t2023届高三01班\t0.968\t0.952", + "20221207\t2023届高三02班\t0.903\t0.766", + "20221207\t2023届高三03班\t1.000\t1.000", + "20221207\t2023届高三04班\t0.900\t0.967", + "20221207\t2023届高三05班\t0.746\t0.588", + "20221207\t2023届高三06班\t0.923\t0.885", + "20221207\t2023届高三07班\t0.882\t0.904", + "20221207\t2023届高三08班\t0.817\t0.819", + "20221207\t2023届高三09班\t0.896\t0.523" + ], "origin": "2023届高三上学期考试院提供适应性测试卷试题19", "edit": [ "20221202\t王伟叶" @@ -298402,7 +299151,20 @@ "ans": "(1) $y=x+1$; (2) 面积的最大值为$2$, 此时$l:y=0$; (3) 当$\\delta_{F_1}\\cdot \\delta_{F_2}>b^2$($=b^2$, $