From 08cb952c0e6cdce0b7ec241ad509ed9104e035a5 Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Tue, 22 Nov 2022 23:19:46 +0800
Subject: [PATCH] 20221122 night

---
 工具/生成文件夹下的题号清单.ipynb | 566 +++++++++++++++---------------
 工具/讲义生成.ipynb               |  31 +-
 题库0.3/Problems.json             |  10 +-
 3 files changed, 296 insertions(+), 311 deletions(-)

diff --git a/工具/生成文件夹下的题号清单.ipynb b/工具/生成文件夹下的题号清单.ipynb
index 3c697d15..0c14edac 100644
--- a/工具/生成文件夹下的题号清单.ipynb
+++ b/工具/生成文件夹下的题号清单.ipynb
@@ -2,343 +2,325 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "周末卷01.tex\n",
+      "example.tex\n",
       "填空题\n",
-      "(010923)\n",
-      "(010924)\n",
-      "(010925)\n",
-      "(010926)\n",
-      "(030013)\n",
-      "(010928)\n",
-      "(010929)\n",
-      "(010930)\n",
-      "(030014)\n",
-      "(010932)\n",
-      "(010933)\n",
-      "(010934)\n",
       "选择题\n",
-      "(010935)\n",
-      "(010936)\n",
-      "(010937)\n",
-      "(010938)\n",
       "解答题\n",
-      "(010939)\n",
-      "(010940)\n",
-      "(010941)\n",
-      "(010942)\n",
-      "(010943)\n",
       "\n",
       "\n",
       "\n",
-      "周末卷02.tex\n",
+      "基础考.tex\n",
       "填空题\n",
-      "(010944)\n",
-      "(030017)\n",
-      "(010946)\n",
-      "(010947)\n",
-      "(010948)\n",
-      "(010949)\n",
-      "(010950)\n",
-      "(010951)\n",
-      "(010952)\n",
-      "(010953)\n",
-      "(010954)\n",
-      "(010955)\n",
+      "(012033)\n",
+      "(012034)\n",
+      "(012035)\n",
+      "(012036)\n",
+      "(012037)\n",
+      "(012038)\n",
+      "(012039)\n",
+      "(012040)\n",
+      "(012041)\n",
+      "(012042)\n",
+      "(012043)\n",
+      "(012044)\n",
       "选择题\n",
-      "(010956)\n",
-      "(002874)\n",
-      "(010958)\n",
-      "(010959)\n",
+      "(012045)\n",
+      "(012046)\n",
+      "(012047)\n",
+      "(012048)\n",
       "解答题\n",
-      "(010960)\n",
-      "(010961)\n",
-      "(010962)\n",
-      "(010963)\n",
-      "(010964)\n",
+      "(012049)\n",
+      "(012050)\n",
+      "(012051)\n",
+      "(012052)\n",
+      "(012053)\n",
       "\n",
       "\n",
       "\n",
-      "周末卷03.tex\n",
+      "月考01.tex\n",
       "填空题\n",
-      "(003115)\n",
-      "(006264)\n",
-      "(003096)\n",
-      "(001472)\n",
-      "(006604)\n",
-      "(030027)\n",
-      "(030028)\n",
-      "选择题\n",
-      "(006305)\n",
-      "解答题\n",
-      "(006460)\n",
-      "(006463)\n",
-      "\n",
-      "\n",
-      "\n",
-      "周末卷03_暂未使用.tex\n",
-      "填空题\n",
-      "(010965)\n",
-      "(010966)\n",
-      "(030023)\n",
-      "(010968)\n",
-      "(010969)\n",
-      "(010970)\n",
-      "(030025)\n",
-      "(010972)\n",
-      "(030024)\n",
-      "(010974)\n",
-      "(010975)\n",
-      "(010976)\n",
-      "选择题\n",
-      "(010977)\n",
-      "(002745)\n",
-      "(010979)\n",
-      "(010980)\n",
-      "解答题\n",
-      "(010981)\n",
-      "(010982)\n",
-      "(010983)\n",
-      "(010984)\n",
-      "(010985)\n",
-      "\n",
-      "\n",
-      "\n",
-      "周末卷04.tex\n",
-      "填空题\n",
-      "(001853)\n",
-      "(030108)\n",
-      "(003355)\n",
-      "(000655)\n",
-      "(000724)\n",
-      "(001860)\n",
-      "(002038)\n",
-      "(030106)\n",
-      "(030107)\n",
-      "(003621)\n",
-      "选择题\n",
-      "(001846)\n",
-      "(002013)\n",
-      "(003703)\n",
-      "解答题\n",
-      "(001557)\n",
-      "(004702)\n",
-      "\n",
-      "\n",
-      "\n",
-      "周末卷05.tex\n",
-      "填空题\n",
-      "(030169)\n",
-      "(030273)\n",
-      "(001677)\n",
-      "(003531)\n",
-      "(003533)\n",
-      "(003455)\n",
-      "选择题\n",
-      "(004092)\n",
-      "(003891)\n",
-      "(001643)\n",
-      "解答题\n",
-      "(000182)\n",
-      "(000187)\n",
-      "(000298)\n",
-      "(003495)\n",
-      "(004180)\n",
-      "(003500)\n",
-      "(003462)\n",
-      "\n",
-      "\n",
-      "\n",
-      "周末卷06.tex\n",
-      "填空题\n",
-      "(010497)\n",
-      "(010501)\n",
-      "(001726)\n",
-      "(030279)\n",
-      "(030280)\n",
-      "(030278)\n",
-      "(001631)\n",
-      "(001668)\n",
-      "(001724)\n",
-      "选择题\n",
-      "(001676)\n",
-      "(010487)\n",
-      "(009998)\n",
-      "(010491)\n",
-      "解答题\n",
-      "(010470)\n",
-      "(010533)\n",
-      "(010508)\n",
-      "(010000)\n",
-      "\n",
-      "\n",
-      "\n",
-      "周末卷07.tex\n",
-      "填空题\n",
-      "(004446)\n",
-      "(004447)\n",
-      "(004448)\n",
-      "(004449)\n",
-      "(004450)\n",
+      "(004080)\n",
+      "(004122)\n",
+      "(004312)\n",
       "(004451)\n",
-      "(004453)\n",
-      "(004454)\n",
-      "(004455)\n",
-      "(004456)\n",
-      "(004457)\n",
+      "(004557)\n",
+      "(004276)\n",
+      "(030019)\n",
+      "(004356)\n",
+      "(004320)\n",
+      "(004359)\n",
+      "(030020)\n",
+      "(004091)\n",
       "选择题\n",
-      "(004458)\n",
+      "(004400)\n",
+      "(008101)\n",
+      "(004157)\n",
+      "(004440)\n",
       "解答题\n",
-      "(004462)\n",
-      "(004463)\n",
-      "(004464)\n",
+      "(004370)\n",
+      "(004224)\n",
+      "(004328)\n",
+      "(004444)\n",
+      "(004247)\n",
       "\n",
       "\n",
       "\n",
-      "周末卷08.tex\n",
+      "测验01.tex\n",
       "填空题\n",
-      "(011133)\n",
-      "(011134)\n",
-      "(011135)\n",
-      "(011136)\n",
-      "(011137)\n",
-      "(011138)\n",
-      "(011139)\n",
-      "(011140)\n",
-      "(011141)\n",
-      "(011142)\n",
-      "(011143)\n",
-      "(011144)\n",
+      "(004810)\n",
+      "(005230)\n",
+      "(004108)\n",
+      "(004106)\n",
+      "(004949)\n",
+      "(007809)\n",
+      "(001339)\n",
+      "(020068)\n",
       "选择题\n",
-      "(011145)\n",
-      "(011146)\n",
-      "(011147)\n",
-      "(011148)\n",
+      "(020081)\n",
+      "(007959)\n",
       "解答题\n",
-      "(011149)\n",
-      "(011150)\n",
-      "(011151)\n",
-      "(011152)\n",
-      "(011153)\n",
+      "(002859)\n",
+      "(011131)\n",
       "\n",
       "\n",
       "\n",
-      "周末卷09.tex\n",
+      "测验02.tex\n",
       "填空题\n",
-      "(011049)\n",
-      "(011051)\n",
-      "(011052)\n",
-      "(011053)\n",
-      "(011054)\n",
-      "(011056)\n",
-      "(011057)\n",
-      "(011059)\n",
-      "(011060)\n",
+      "(000486)\n",
+      "(000498)\n",
+      "(000656)\n",
+      "(000558)\n",
+      "(004622)\n",
+      "(005584)\n",
+      "(010136)\n",
+      "(004412)\n",
+      "(010133)\n",
+      "(000555)\n",
+      "(000565)\n",
+      "(000824)\n",
       "选择题\n",
-      "(011062)\n",
-      "(011063)\n",
-      "(011064)\n",
+      "(005196)\n",
+      "(002853)\n",
+      "(005574)\n",
+      "(004385)\n",
       "解答题\n",
-      "(011065)\n",
-      "(011066)\n",
-      "(011067)\n",
+      "(002881)\n",
+      "(002903)\n",
+      "(002970)\n",
+      "(004680)\n",
+      "(004184)\n",
       "\n",
       "\n",
       "\n",
-      "周末卷10.tex\n",
+      "测验03.tex\n",
       "填空题\n",
-      "(011070)\n",
-      "(011072)\n",
-      "(011073)\n",
-      "(011074)\n",
-      "(011075)\n",
-      "(011076)\n",
-      "(011078)\n",
-      "(011079)\n",
-      "(011081)\n",
+      "(005888)\n",
+      "(004248)\n",
+      "(005943)\n",
+      "(030104)\n",
+      "(030102)\n",
+      "(030101)\n",
+      "(004322)\n",
       "选择题\n",
-      "(011082)\n",
-      "(011083)\n",
-      "(011084)\n",
+      "(006346)\n",
+      "(005993)\n",
+      "(006061)\n",
       "解答题\n",
-      "(011086)\n",
-      "(011087)\n",
-      "(011088)\n",
-      "(011090)\n",
+      "(003627)\n",
+      "(030103)\n",
       "\n",
       "\n",
       "\n",
-      "周末卷11备选.tex\n",
-      "enumerate\n",
-      "(011091)\n",
-      "(011092)\n",
-      "(011094)\n",
-      "(011095)\n",
-      "(011096)\n",
-      "(011097)\n",
-      "(011098)\n",
-      "(011099)\n",
-      "(011100)\n",
-      "(011102)\n",
-      "(011103)\n",
-      "(011104)\n",
-      "(011105)\n",
-      "(011106)\n",
-      "(011107)\n",
-      "(011108)\n",
-      "(011109)\n",
-      "(011110)\n",
+      "测验04.tex\n",
+      "填空题\n",
+      "(001506)\n",
+      "(004125)\n",
+      "(002027)\n",
+      "(030152)\n",
+      "(004414)\n",
+      "(001013)\n",
+      "(003798)\n",
+      "(001253)\n",
+      "(001510)\n",
+      "(001515)\n",
+      "(004111)\n",
+      "(030153)\n",
+      "选择题\n",
+      "(001993)\n",
+      "(004240)\n",
+      "(003645)\n",
+      "(004116)\n",
+      "解答题\n",
+      "(004636)\n",
+      "(001494)\n",
+      "(004098)\n",
+      "(004424)\n",
+      "(004509)\n",
       "\n",
       "\n",
       "\n",
-      "国庆卷.tex\n",
-      "课前练习\n",
-      "(030033)\n",
-      "(030030)\n",
-      "(030032)\n",
-      "(030031)\n",
-      "(030029)\n",
-      "(030034)\n",
-      "(030076)\n",
-      "(030036)\n",
-      "(030037)\n",
-      "(030039)\n",
-      "(030044)\n",
-      "(030038)\n",
-      "(030040)\n",
-      "(030041)\n",
-      "(030045)\n",
-      "(030042)\n",
-      "(030048)\n",
-      "(030046)\n",
-      "(030047)\n",
-      "(030051)\n",
-      "(030043)\n",
-      "(030052)\n",
-      "(030050)\n",
-      "(030049)\n",
-      "(030053)\n",
-      "(030054)\n",
-      "(030055)\n",
-      "(030059)\n",
-      "(030058)\n",
-      "(030056)\n",
-      "(030057)\n",
-      "(030060)\n",
-      "(030061)\n",
-      "(030063)\n",
-      "(030062)\n",
-      "(030065)\n",
-      "(030067)\n",
-      "(030066)\n",
-      "(030064)\n",
-      "(030068)\n",
+      "测验05.tex\n",
+      "填空题\n",
+      "(003632)\n",
+      "(003636)\n",
+      "(004144)\n",
+      "(003986)\n",
+      "(004081)\n",
+      "(004124)\n",
+      "(003658)\n",
+      "(004313)\n",
+      "(004278)\n",
+      "(004257)\n",
+      "(004153)\n",
+      "(004154)\n",
+      "选择题\n",
+      "(004365)\n",
+      "(004420)\n",
+      "(004460)\n",
+      "(004461)\n",
+      "解答题\n",
+      "(004485)\n",
+      "(030282)\n",
+      "(004763)\n",
+      "(004465)\n",
+      "(004466)\n",
+      "\n",
+      "\n",
+      "\n",
+      "测验06.tex\n",
+      "填空题\n",
+      "(030428)\n",
+      "(030449)\n",
+      "(030450)\n",
+      "(030431)\n",
+      "(030432)\n",
+      "(030433)\n",
+      "(030434)\n",
+      "(030435)\n",
+      "(030436)\n",
+      "(030437)\n",
+      "(030438)\n",
+      "(030439)\n",
+      "选择题\n",
+      "(030440)\n",
+      "(030441)\n",
+      "(030442)\n",
+      "(030443)\n",
+      "解答题\n",
+      "(030444)\n",
+      "(030445)\n",
+      "(030446)\n",
+      "\n",
+      "\n",
+      "\n",
+      "测验07.tex\n",
+      "填空题\n",
+      "(005304)\n",
+      "(004468)\n",
+      "(004469)\n",
+      "(004470)\n",
+      "(004471)\n",
+      "(004472)\n",
+      "(004473)\n",
+      "(030480)\n",
+      "(004475)\n",
+      "(004476)\n",
+      "(004477)\n",
+      "(004478)\n",
+      "选择题\n",
+      "(004479)\n",
+      "(004480)\n",
+      "(004481)\n",
+      "(004482)\n",
+      "解答题\n",
+      "(004484)\n",
+      "(004485)\n",
+      "(004486)\n",
+      "\n",
+      "\n",
+      "\n",
+      "测验08.tex\n",
+      "填空题\n",
+      "(012054)\n",
+      "(012055)\n",
+      "(012056)\n",
+      "(012057)\n",
+      "(012058)\n",
+      "(012059)\n",
+      "(012060)\n",
+      "(012061)\n",
+      "(012062)\n",
+      "(012063)\n",
+      "(012064)\n",
+      "(012065)\n",
+      "选择题\n",
+      "(012066)\n",
+      "(012067)\n",
+      "(012068)\n",
+      "(012069)\n",
+      "解答题\n",
+      "(012070)\n",
+      "(012071)\n",
+      "(012072)\n",
+      "(012073)\n",
+      "(012074)\n",
+      "\n",
+      "\n",
+      "\n",
+      "测验09.tex\n",
+      "填空题\n",
+      "(012075)\n",
+      "(012076)\n",
+      "(012077)\n",
+      "(012078)\n",
+      "(012079)\n",
+      "(012080)\n",
+      "(012081)\n",
+      "(012082)\n",
+      "(012083)\n",
+      "(012084)\n",
+      "(012085)\n",
+      "(012086)\n",
+      "选择题\n",
+      "(012087)\n",
+      "(012088)\n",
+      "(012089)\n",
+      "(012090)\n",
+      "解答题\n",
+      "(012091)\n",
+      "(012092)\n",
+      "(012093)\n",
+      "(012094)\n",
+      "(012095)\n",
+      "\n",
+      "\n",
+      "\n",
+      "线上测验01.tex\n",
+      "填空题\n",
+      "(000382)\n",
+      "(001997)\n",
+      "(002011)\n",
+      "(002081)\n",
+      "(007042)\n",
+      "(030157)\n",
+      "(003841)\n",
+      "(030155)\n",
+      "(030154)\n",
+      "(003702)\n",
+      "选择题\n",
+      "(007065)\n",
+      "(002024)\n",
+      "解答题\n",
+      "(001884)\n",
+      "(001915)\n",
+      "(030156)\n",
       "\n",
       "\n",
       "\n"
@@ -348,7 +330,7 @@
    "source": [
     "import os,re\n",
     "\"---此处输入文件夹名---\"\n",
-    "directory = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期周末卷\"\n",
+    "directory = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n",
     "\"---文件夹名输入结束---\"\n",
     "\n",
     "filelist = [filename for filename in os.listdir(directory) if \".tex\" in filename]\n",
diff --git a/工具/讲义生成.ipynb b/工具/讲义生成.ipynb
index 428b38fe..ea9df6a4 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": 4,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -13,9 +13,11 @@
       "题块 1 处理完毕.\n",
       "正在处理题块 2 .\n",
       "题块 2 处理完毕.\n",
-      "开始编译教师版本pdf文件:  临时文件/34_直线及其方程_教师_20221122.tex\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09_教师_20221122.tex\n",
       "0\n",
-      "开始编译学生版本pdf文件:  临时文件/34_直线及其方程_学生_20221122.tex\n",
+      "开始编译学生版本pdf文件:  临时文件/测验09_学生_20221122.tex\n",
       "0\n"
      ]
     }
@@ -28,18 +30,18 @@
     "\"\"\"---设置模式结束---\"\"\"\n",
     "\n",
     "\"\"\"---设置模板文件名---\"\"\"\n",
-    "template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
-    "# template_file = \"模板文件/测验周末卷模板.tex\"\n",
+    "# template_file = \"模板文件/第一轮复习讲义模板.tex\"\n",
+    "template_file = \"模板文件/测验周末卷模板.tex\"\n",
     "# template_file = \"模板文件/日常选题讲义模板.tex\"\n",
     "\"\"\"---设置模板文件名结束---\"\"\"\n",
     "\n",
     "\"\"\"---设置其他预处理替换命令---\"\"\"\n",
     "#2023届第一轮讲义更换标题\n",
-    "exec_list = [(\"标题数字待处理\",\"34\"),(\"标题文字待处理\",\"直线及其方程\")] \n",
-    "enumi_mode = 0\n",
+    "# exec_list = [(\"标题数字待处理\",\"34\"),(\"标题文字待处理\",\"直线及其方程\")] \n",
+    "# enumi_mode = 0\n",
     "\n",
     "#2023届测验卷与周末卷\n",
-    "# exec_list = [(\"标题替换\",\"测验09\")]\n",
+    "exec_list = [(\"标题替换\",\"测验09\")]\n",
     "enumi_mode = 1\n",
     "\n",
     "# 日常选题讲义\n",
@@ -49,14 +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/34_直线及其方程\"\n",
+    "destination_file = \"临时文件/测验09\"\n",
     "\"\"\"---设置目标文件名结束---\"\"\"\n",
     "\n",
     "\n",
     "\"\"\"---设置题号数据---\"\"\"\n",
     "problems = [\n",
-    "\"960,2162,2168,8778,3362,10602,248,9784,8831,258,263,9791,2141,2136,4538,2187,10622,8760,2213,9801,9803,4213,8805\",\n",
-    "'002204,002170,010596,008830,010603,002178,010600,008761,002235,009794,008832,008757,008811,010594,002198,010630,010631,002183'\n",
+    "\"12075:12186\",\n",
+    "\"12087:12090\",\n",
+    "\"12091:12095\"\n",
     "\n",
     "]\n",
     "\"\"\"---设置题号数据结束---\"\"\"\n",
@@ -208,7 +211,7 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Python 3.9.7 ('base')",
+   "display_name": "Python 3.8.8 ('base')",
    "language": "python",
    "name": "python3"
   },
@@ -222,12 +225,12 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.9.7"
+   "version": "3.8.8"
   },
   "orig_nbformat": 4,
   "vscode": {
    "interpreter": {
-    "hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
+    "hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
    }
   }
  },
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 5ddf4d13..0e784eed 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -293053,7 +293053,7 @@
     },
     "012083": {
         "id": "012083",
-        "content": "已知随机变量$X$的分布列为$\\begin{pmatrix}\n        -1 & 0 & 1 \\\\\n        \\dfrac 12 & \\dfrac 13 & \\dfrac 16      \n    \\end{pmatrix}$, 另一个随机变量$Y$满足$X+2Y=4$, 则$Y$的方差$D[Y]=$\\blank{50}.",
+        "content": "已知随机变量$X$的分布列为$\\begin{pmatrix}\n        -1 & 0 & 1 \\\\\n        \\dfrac 12 & \\dfrac 13 & \\dfrac 16      \n    \\end{pmatrix}$, 另一个随机变量$Y$满足$X+2Y=4$, 则$Y$的期望$E[Y]=$\\blank{50}.",
         "objs": [],
         "tags": [],
         "genre": "",
@@ -293129,7 +293129,7 @@
     },
     "012087": {
         "id": "012087",
-        "content": "已知$a,b$是实数, 则``$a>b$''是``$a^3+1>b^3+1$的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}",
+        "content": "已知$a,b$是实数, 则``$a>b$''是``$a^3+1>b^3+1$''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分又非必要条件}",
         "objs": [],
         "tags": [],
         "genre": "",
@@ -293167,7 +293167,7 @@
     },
     "012089": {
         "id": "012089",
-        "content": "已知$\\omega$是常数, 若函数$y=|\\sin (\\omega x+\\dfrac \\pi 3)|$图像的一条对称轴是直线$x=\\dfrac\\pi 6$. 则$\\omega$的值不可能在区间\\bracket{20}中.\n\\fourch{$(0,2)$}{$(2,4)$}{$(4,6)$}{$(6,8)$}",
+        "content": "已知$\\omega$是常数, 若函数$y=|\\sin (\\omega x+\\dfrac \\pi 3)|$图像的一条对称轴是直线$x=\\dfrac\\pi 6$. 则$\\omega$的值不可能在区间\\bracket{20}中.\n\\fourch{$(0,2]$}{$(2,4]$}{$(4,6]$}{$(6,8]$}",
         "objs": [],
         "tags": [],
         "genre": "",
@@ -293224,7 +293224,7 @@
     },
     "012092": {
         "id": "012092",
-        "content": "设$a$是实常数, 并记$f(x)=x^3+ax^2+2x$.\\\\\n(1) 当$a=-\\dfrac{5}{2}$时, 求函数$y=(x)$的单调减区间;\\\\ \n(2) 是否存在$a$, 使得函数$y=f(x)$有且三个零点, 且三个零点可按某种顺序排列后成等差数列? 若存在, 求所有满足条件的$a$的值; 若不存在, 说明理由.",
+        "content": "设$a$是实常数, 并记$f(x)=x^3+ax^2+2x$.\\\\\n(1) 当$a=-\\dfrac{5}{2}$时, 求函数$y=f(x)$的单调减区间;\\\\ \n(2) 是否存在$a$, 使得函数$y=f(x)$在实数范围内有且仅有三个零点, 且三个零点可按某种顺序排列后成等差数列? 若存在, 求所有满足条件的$a$的值; 若不存在, 说明理由.",
         "objs": [],
         "tags": [],
         "genre": "",
@@ -293262,7 +293262,7 @@
     },
     "012094": {
         "id": "012094",
-        "content": "已知数列$\\{a_n\\}$的通项公式为$a_n=2^n+\\lambda n$, 其中常数$\\lambda\\in \\mathbf{R}$.\\\\\n(1) 若$a_3=4a_2$, 求$\\lambda$的值;\\\\\n(2) 若$\\{a_n\\}$前$10$项的和为$1551$, 试分析$\\{a_n\\}$的单调性;\\\\\n(3) 若不小于$2$的正整数$p,q$满足$p<q$, 且$a_p=a_q$, 试比较$a_{p-1}$与$a_{q+1}$的大小, 并说明理由.",
+        "content": "已知数列$\\{a_n\\}$的通项公式为$a_n=2^n+\\lambda n$, 其中常数$\\lambda\\in \\mathbf{R}$.\\\\\n(1) 若$a_3=4a_2$, 求$\\lambda$的值;\\\\\n(2) 若$\\{a_n\\}$前$10$项的和为$1551$, 试分析$\\{a_n\\}$的单调性;\\\\\n(3) 对于常数$t$, 记集合$C_t=\\{n|a_n=t\\}$, 试求当$\\lambda$与$t$变化时, 集合$C_t$中元素个数的最大值.",
         "objs": [],
         "tags": [],
         "genre": "",