From 0c3e192be8b52bfa412b6cd5d2dfeb8f1867eb15 Mon Sep 17 00:00:00 2001 From: WangWeiye Date: Wed, 1 Mar 2023 12:08:42 +0800 Subject: [PATCH] 20230301 noon --- 工具/寻找tex文件中未赋答案的题目.ipynb | 176 ++++++- 工具/批量添加题库字段数据.ipynb | 267 ++++------- 工具/文本文件/metadata.txt | 629 +++++++------------------ 题库0.3/Problems.json | 170 +++---- 4 files changed, 515 insertions(+), 727 deletions(-) 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 7b17a3ec..1860eaad 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 @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { @@ -1083,6 +1083,176 @@ "014019\n", "\n", "\n", + "14_等差数列和等比数列.tex\n", + "014532\n", + "\n", + "\n", + "014533\n", + "\n", + "\n", + "012920\n", + "\n", + "\n", + "014534\n", + "\n", + "\n", + "013926\n", + "\n", + "\n", + "013921\n", + "\n", + "\n", + "012967\n", + "\n", + "\n", + "012968\n", + "\n", + "\n", + "012933\n", + "\n", + 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"\n", + "\n", + "013960\n", + "\n", + "\n", + "013000\n", + "\n", + "\n", + "012956\n", + "\n", + "\n", + "014553\n", + "\n", + "\n", + "012959\n", + "\n", + "\n", + "012977\n", + "\n", + "\n", + "012982\n", + "\n", + "\n", + "013955\n", + "\n", + "\n", + "013944\n", + "\n", + "\n", + "012936\n", + "\n", + "\n", + "014560\n", + "\n", + "\n", + "013006\n", + "\n", + "\n", + "012983\n", + "\n", + "\n", + "012938\n", + "\n", + "\n", "高三下学期月考01.tex\n", "高三下学期测验01.tex\n", "高三下学期测验02.tex\n", @@ -1198,7 +1368,7 @@ ], "metadata": { "kernelspec": { - "display_name": "mathdept", + "display_name": "pythontest", "language": "python", "name": "python3" }, @@ -1217,7 +1387,7 @@ "orig_nbformat": 4, "vscode": { "interpreter": { - "hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc" + "hash": "91219a98e0e9be72efb992f647fe78b593124968b75db0b865552d6787c8db93" } } }, 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 0a22094a..eb23f126 100644 --- a/工具/批量添加题库字段数据.ipynb +++ 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20230228\t2023届高三06班\t0.925\n", - "题号: 013010 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.975\n", - "题号: 013852 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.750\n", - "题号: 013875 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.600\n", - "题号: 013880 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.600\n", - "题号: 014221 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.775\n", - "题号: 014231 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.650\t0.950\n", - "题号: 013879 , 字段: usages 中已添加数据: 20230228\t2023届高三06班\t0.725\t0.725\n", - "题号: 014204 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.812\n", - "题号: 014217 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.938\n", - "题号: 014206 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.969\n", - "题号: 014207 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.844\n", - "题号: 014208 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.906\n", - "题号: 013024 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.969\n", - "题号: 014227 , 字段: usages 中已添加数据: 20230228\t2023届高三07班\t0.594\n", - "题号: 014226 , 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20230228\t2023届高三08班\t0.852\n", - "题号: 014226 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.815\n", - "题号: 013010 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.963\n", - "题号: 013852 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.852\n", - "题号: 013875 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.556\n", - "题号: 013880 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.444\n", - "题号: 014221 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.000\n", - "题号: 014231 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.704\t0.815\n", - "题号: 013879 , 字段: usages 中已添加数据: 20230228\t2023届高三08班\t0.815\t0.815\n", - "题号: 014204 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.938\n", - "题号: 014217 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.969\n", - "题号: 014206 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t1.000\n", - "题号: 014207 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.844\n", - "题号: 014208 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.969\n", - "题号: 013024 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t1.000\n", - "题号: 014227 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.812\n", - "题号: 014226 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.875\n", - "题号: 013010 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.938\n", - "题号: 013852 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.844\n", - "题号: 013875 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.594\n", - "题号: 013880 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.406\n", - "题号: 014221 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.500\n", - "题号: 014231 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.719\t0.750\n", - "题号: 013879 , 字段: usages 中已添加数据: 20230228\t2023届高三09班\t0.969\t0.781\n" + "题号: 011263 , 字段: ans 中已修改数据: $[1,4]$\n", + "题号: 011266 , 字段: ans 中已修改数据: $3$\n", + "题号: 014166 , 字段: ans 中已修改数据: $1+\\dfrac 1a$\n", + "题号: 014167 , 字段: ans 中已修改数据: $(-\\infty,-1)\\cup (1,+\\infty)$\n", + "题号: 014168 , 字段: ans 中已修改数据: $3$\n", + "题号: 014169 , 字段: ans 中已修改数据: C\n", + "题号: 014171 , 字段: ans 中已修改数据: $2$\n", + "题号: 014177 , 字段: ans 中已修改数据: $3$\n", + "题号: 014178 , 字段: ans 中已修改数据: $3$\n", + "题号: 014179 , 字段: ans 中已修改数据: $(1,+\\infty)$\n", + "题号: 014193 , 字段: ans 中已修改数据: $1$\n", + "题号: 014194 , 字段: ans 中已修改数据: $(0,1)$\n", + "题号: 014199 , 字段: ans 中已修改数据: $(4,5]$\n", + "题号: 014170 , 字段: ans 中已修改数据: 证明略\n", + "题号: 012891 , 字段: ans 中已修改数据: (1) 当$a>0$时, $y=f(x)$为严格增函数; 当$a<0$时, $y=f(x)$为严格减函数; (2) 当$a>0$时, 取值范围为$(-\\infty,\\log_{\\frac 32}(-\\dfrac a{2b}))$; 当$a<0$时, 取值范围为$(\\log_{\\frac 32}(-\\dfrac a{2b}),+\\infty)$\n", + "题号: 012892 , 字段: ans 中已修改数据: (1) $\\dfrac 32$; (2) $(-1,+\\infty)$; (3) $\\{-3\\}\\cup (1,+\\infty)$\n", + "题号: 014175 , 字段: ans 中已修改数据: $4$\n", + "题号: 014174 , 字段: ans 中已修改数据: $10$\n", + "题号: 014172 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{5}-1}2$\n", + "题号: 014176 , 字段: ans 中已修改数据: $4$\n", + "题号: 014180 , 字段: ans 中已修改数据: $\\dfrac{1}{0.57^2}$\n", + "题号: 014181 , 字段: ans 中已修改数据: D\n", + "题号: 014183 , 字段: ans 中已修改数据: \\textcircled{1}\\textcircled{3}\\textcircled{4}\n", + "题号: 014203 , 字段: ans 中已修改数据: $2$\n", + "题号: 014288 , 字段: ans 中已修改数据: $2$\n", + "题号: 014290 , 字段: ans 中已修改数据: $(\\dfrac 15,\\dfrac 12)$\n", + "题号: 014182 , 字段: ans 中已修改数据: $-\\dfrac 32$\n", + "题号: 012915 , 字段: ans 中已修改数据: (1) $a\\in (0,9)\\cup (9,+\\infty)$, $b=3$; (2) $4\\sqrt{2}$\n", + "题号: 013800 , 字段: ans 中已修改数据: (1) $[-\\dfrac 14,2]$; (2) $g(a)=\\dfrac 12 a^2-\\dfrac 12 a$, $D=(1,2]$; (3) $[-1,\\dfrac 14]$\n", + "题号: 012824 , 字段: ans 中已修改数据: $0$\n", + "题号: 012825 , 字段: ans 中已修改数据: $(-\\infty,\\dfrac 13)\\cup (\\dfrac 13,+\\infty)$\n", + "题号: 012826 , 字段: ans 中已修改数据: $(-2,1)$\n", + "题号: 012847 , 字段: ans 中已修改数据: $[\\dfrac 52,+\\infty)$\n", + "题号: 012848 , 字段: ans 中已修改数据: (如)$(-1,-4)$, 所有满足要求的数对为$(t,4t)$, 其中$t<0$\n", + "题号: 012849 , 字段: ans 中已修改数据: A\n", + "题号: 012850 , 字段: ans 中已修改数据: A\n", + "题号: 012851 , 字段: ans 中已修改数据: $[\\dfrac 32,2)$\n", + "题号: 012829 , 字段: ans 中已修改数据: \\textcircled{1}\\textcircled{4}\n", + "题号: 012830 , 字段: ans 中已修改数据: $\\{-1,0\\}$\n", + "题号: 012855 , 字段: ans 中已修改数据: (1) 当$a=0$时, $y=f(x)$是偶函数; 当$a\\ne 0$时, $y=f(x)$既不是奇函数, 又不是偶函数; (2) $(-\\infty,16]$\n", + "题号: 014192 , 字段: ans 中已修改数据: (1) 无整数解, 理由略; (2) $(-\\dfrac{2023}2,+\\infty)$\n", + "题号: 012834 , 字段: ans 中已修改数据: $[-1,2)\\cup (2,+\\infty)$\n", + "题号: 012835 , 字段: ans 中已修改数据: $[-1,10)$\n", + "题号: 012836 , 字段: ans 中已修改数据: A\n", + "题号: 012837 , 字段: ans 中已修改数据: $3$\n", + "题号: 012857 , 字段: ans 中已修改数据: $\\dfrac 43$\n", + "题号: 012858 , 字段: ans 中已修改数据: $2$\n", + "题号: 012859 , 字段: ans 中已修改数据: $f(\\dfrac 73)>f(\\dfrac 72)>f(\\dfrac 75)$\n", + "题号: 012839 , 字段: ans 中已修改数据: $(1,2)$\n", + "题号: 012841 , 字段: ans 中已修改数据: $(-\\infty,2)$\n", + "题号: 012842 , 字段: ans 中已修改数据: $-8$\n", + "题号: 012843 , 字段: ans 中已修改数据: A\n", + "题号: 014190 , 字段: ans 中已修改数据: (1) 存在, $a=0$; (2) 存在, $a=-1$, $b=0$\n", + "题号: 014191 , 字段: ans 中已修改数据: (1) $(-\\infty,-1]\\cup [1,+\\infty)$; (2) $f(b)=\\begin{cases}1, & b\\le 0,\\\\1-b^2, & 0\\le b\\le 2,\\\\ 5-4b, & b\\ge 2.\\end{cases}$\n", + "题号: 012856 , 字段: ans 中已修改数据: $(-\\infty,-2]\\cup [2,+\\infty)$\n", + "题号: 012870 , 字段: ans 中已修改数据: 二\n", + "题号: 012871 , 字段: ans 中已修改数据: $6$\n", + "题号: 012872 , 字段: ans 中已修改数据: $(-\\pi,0)\\cup (\\pi,+\\infty)$\n", + "题号: 012893 , 字段: ans 中已修改数据: $(2,+\\infty)$\n", + "题号: 012894 , 字段: ans 中已修改数据: $\\dfrac 13$\n", + "题号: 012895 , 字段: ans 中已修改数据: C\n", + "题号: 012896 , 字段: ans 中已修改数据: $(0,1]$\n", + "题号: 012897 , 字段: ans 中已修改数据: $-4$\n", + "题号: 012874 , 字段: ans 中已修改数据: $(-\\infty,-8]$\n", + "题号: 012875 , 字段: ans 中已修改数据: $0$\n", + "题号: 013840 , 字段: ans 中已修改数据: $[-2,2]$\n", + "题号: 013841 , 字段: ans 中已修改数据: B\n", + "题号: 013842 , 字段: ans 中已修改数据: (1) $2$; (2) $[\\dfrac 12,+\\infty)$\n", + "题号: 013843 , 字段: ans 中已修改数据: (1) $[-2,-1]$; (2) $[-2,0]$\n", + "题号: 013844 , 字段: ans 中已修改数据: 存在, 范围为$[-3,1]$\n", + "题号: 012881 , 字段: ans 中已修改数据: $9$\n", + "题号: 012882 , 字段: ans 中已修改数据: $\\dfrac 1{100}$或$1$\n", + "题号: 012883 , 字段: ans 中已修改数据: $[0,1)$\n", + "题号: 012884 , 字段: ans 中已修改数据: B\n", + "题号: 012885 , 字段: ans 中已修改数据: D\n", + "题号: 012887 , 字段: ans 中已修改数据: \\textcircled{2}\\textcircled{4}\n", + "题号: 012905 , 字段: ans 中已修改数据: A\n", + "题号: 012906 , 字段: ans 中已修改数据: D\n", + "题号: 012907 , 字段: ans 中已修改数据: B\n", + "题号: 012908 , 字段: ans 中已修改数据: $x^2+8x+15$\n", + "题号: 012912 , 字段: ans 中已修改数据: $\\dfrac 12$\n", + "题号: 012913 , 字段: ans 中已修改数据: B\n", + "题号: 012901 , 字段: ans 中已修改数据: 当$p\\in [1,3)$时, 方程无解; 当$p\\ge 3$时, 方程有且仅有一解\n", + "题号: 012902 , 字段: ans 中已修改数据: (1) 证明略; (2) 存在, $a=\\dfrac{5-\\sqrt{5}}2$, $b=\\dfrac{5+\\sqrt{5}}2$\n", + "题号: 012903 , 字段: ans 中已修改数据: (1) 总是奇函数, 一定不是偶函数; (2) $(2,+\\infty)$\n" ] } ], diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 14e1fb5a..8707b704 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,542 +1,255 @@ -usages +ans +011263 +$[1,4]$ -014204 -20230228 2023届高三10班 0.892 +011266 +$3$ -014217 -20230228 2023届高三10班 0.919 +014166 +$1+\dfrac 1a$ -014206 -20230228 2023届高三10班 1.000 +014167 +$(-\infty,-1)\cup (1,+\infty)$ -014207 -20230228 2023届高三10班 0.649 +014168 +$3$ -014208 -20230228 2023届高三10班 0.892 +014169 +C -013024 -20230228 2023届高三10班 0.892 +014171 +$2$ -014227 -20230228 2023届高三10班 0.784 +014177 +$3$ -014226 -20230228 2023届高三10班 0.946 +014178 +$3$ -013010 -20230228 2023届高三10班 0.946 +014179 +$(1,+\infty)$ -013852 -20230228 2023届高三10班 0.730 +014193 +$1$ -013875 -20230228 2023届高三10班 0.405 +014194 +$(0,1)$ -013880 -20230228 2023届高三10班 0.378 +014199 +$(4,5]$ -014221 -20230228 2023届高三10班 0.324 +014170 +证明略 -014231 -20230228 2023届高三10班 0.432 0.351 +012891 +(1) 当$a>0$时, $y=f(x)$为严格增函数; 当$a<0$时, $y=f(x)$为严格减函数; (2) 当$a>0$时, 取值范围为$(-\infty,\log_{\frac 32}(-\dfrac a{2b}))$; 当$a<0$时, 取值范围为$(\log_{\frac 32}(-\dfrac a{2b}),+\infty)$ -013879 -20230228 2023届高三10班 0.757 0.135 +012892 +(1) $\dfrac 32$; (2) $(-1,+\infty)$; (3) $\{-3\}\cup (1,+\infty)$ -014204 -20230228 2023届高三11班 0.809 +014175 +$4$ -014217 -20230228 2023届高三11班 0.905 +014174 +$10$ -014206 -20230228 2023届高三11班 0.952 +014172 +$\dfrac{\sqrt{5}-1}2$ -014207 -20230228 2023届高三11班 0.905 +014176 +$4$ -014208 -20230228 2023届高三11班 0.952 +014180 +$\dfrac{1}{0.57^2}$ -013024 -20230228 2023届高三11班 0.952 +014181 +D -014227 -20230228 2023届高三11班 0.809 +014183 +\textcircled{1}\textcircled{3}\textcircled{4} -014226 -20230228 2023届高三11班 0.905 +014203 +$2$ -013010 -20230228 2023届高三11班 0.905 +014288 +$2$ -013852 -20230228 2023届高三11班 0.667 +014290 +$(\dfrac 15,\dfrac 12)$ -013875 -20230228 2023届高三11班 0.333 +014182 +$-\dfrac 32$ -013880 -20230228 2023届高三11班 0.048 +012915 +(1) $a\in (0,9)\cup (9,+\infty)$, $b=3$; (2) $4\sqrt{2}$ -014221 -20230228 2023届高三11班 0.619 +013800 +(1) $[-\dfrac 14,2]$; (2) $g(a)=\dfrac 12 a^2-\dfrac 12 a$, $D=(1,2]$; (3) $[-1,\dfrac 14]$ -014231 -20230228 2023届高三11班 0.571 0.571 +012824 +$0$ -013879 -20230228 2023届高三11班 0.857 0.619 +012825 +$(-\infty,\dfrac 13)\cup (\dfrac 13,+\infty)$ -014204 -20230228 2023届高三12班 0.826 +012826 +$(-2,1)$ -014217 -20230228 2023届高三12班 0.913 +012847 +$[\dfrac 52,+\infty)$ -014206 -20230228 2023届高三12班 1.000 +012848 +(如)$(-1,-4)$, 所有满足要求的数对为$(t,4t)$, 其中$t<0$ -014207 -20230228 2023届高三12班 0.870 +012849 +A -014208 -20230228 2023届高三12班 0.870 +012850 +A -013024 -20230228 2023届高三12班 0.913 +012851 +$[\dfrac 32,2)$ -014227 -20230228 2023届高三12班 0.783 +012829 +\textcircled{1}\textcircled{4} -014226 -20230228 2023届高三12班 0.783 +012830 +$\{-1,0\}$ -013010 -20230228 2023届高三12班 0.957 +012855 +(1) 当$a=0$时, $y=f(x)$是偶函数; 当$a\ne 0$时, $y=f(x)$既不是奇函数, 又不是偶函数; (2) $(-\infty,16]$ -013852 -20230228 2023届高三12班 0.739 +014192 +(1) 无整数解, 理由略; (2) $(-\dfrac{2023}2,+\infty)$ -013875 -20230228 2023届高三12班 0.739 +012834 +$[-1,2)\cup (2,+\infty)$ -013880 -20230228 2023届高三12班 0.435 +012835 +$[-1,10)$ -014221 -20230228 2023届高三12班 0.696 +012836 +A -014231 -20230228 2023届高三12班 0.652 0.739 +012837 +$3$ -013879 -20230228 2023届高三12班 0.957 0.870 +012857 +$\dfrac 43$ -014204 -20230228 2023届高三01班 0.967 +012858 +$2$ -014217 -20230228 2023届高三01班 0.967 +012859 +$f(\dfrac 73)>f(\dfrac 72)>f(\dfrac 75)$ -014206 -20230228 2023届高三01班 1.000 +012839 +$(1,2)$ -014207 -20230228 2023届高三01班 0.933 +012841 +$(-\infty,2)$ -014208 -20230228 2023届高三01班 0.867 +012842 +$-8$ -013024 -20230228 2023届高三01班 1.000 +012843 +A -014227 -20230228 2023届高三01班 0.767 +014190 +(1) 存在, $a=0$; (2) 存在, $a=-1$, $b=0$ -014226 -20230228 2023届高三01班 0.933 +014191 +(1) $(-\infty,-1]\cup [1,+\infty)$; (2) $f(b)=\begin{cases}1, & b\le 0,\\1-b^2, & 0\le b\le 2,\\ 5-4b, & b\ge 2.\end{cases}$ -013010 -20230228 2023届高三01班 0.967 +012856 +$(-\infty,-2]\cup [2,+\infty)$ -013852 -20230228 2023届高三01班 0.900 +012870 +二 -013875 -20230228 2023届高三01班 0.767 +012871 +$6$ -013880 -20230228 2023届高三01班 0.900 +012872 +$(-\pi,0)\cup (\pi,+\infty)$ -014221 -20230228 2023届高三01班 0.700 +012893 +$(2,+\infty)$ -014231 -20230228 2023届高三01班 0.800 0.933 +012894 +$\dfrac 13$ -013879 -20230228 2023届高三01班 0.833 0.900 +012895 +C -014204 -20230228 2023届高三02班 1.000 +012896 +$(0,1]$ -014217 -20230228 2023届高三02班 0.933 +012897 +$-4$ -014206 -20230228 2023届高三02班 0.967 +012874 +$(-\infty,-8]$ -014207 -20230228 2023届高三02班 0.933 +012875 +$0$ -014208 -20230228 2023届高三02班 0.900 +013840 +$[-2,2]$ -013024 -20230228 2023届高三02班 0.967 +013841 +B -014227 -20230228 2023届高三02班 0.833 +013842 +(1) $2$; (2) $[\dfrac 12,+\infty)$ -014226 -20230228 2023届高三02班 1.000 +013843 +(1) $[-2,-1]$; (2) $[-2,0]$ -013010 -20230228 2023届高三02班 0.900 +013844 +存在, 范围为$[-3,1]$ -013852 -20230228 2023届高三02班 0.733 +012881 +$9$ -013875 -20230228 2023届高三02班 0.467 +012882 +$\dfrac 1{100}$或$1$ -013880 -20230228 2023届高三02班 0.700 +012883 +$[0,1)$ -014221 -20230228 2023届高三02班 0.467 +012884 +B -014231 -20230228 2023届高三02班 0.700 0.833 +012885 +D -013879 -20230228 2023届高三02班 0.833 0.333 +012887 +\textcircled{2}\textcircled{4} -014204 -20230228 2023届高三03班 0.897 +012905 +A -014217 -20230228 2023届高三03班 0.897 +012906 +D -014206 -20230228 2023届高三03班 1.000 +012907 +B -014207 -20230228 2023届高三03班 0.793 +012908 +$x^2+8x+15$ -014208 -20230228 2023届高三03班 0.931 +012912 +$\dfrac 12$ -013024 -20230228 2023届高三03班 0.931 +012913 +B -014227 -20230228 2023届高三03班 0.828 +012901 +当$p\in [1,3)$时, 方程无解; 当$p\ge 3$时, 方程有且仅有一解 -014226 -20230228 2023届高三03班 0.966 - -013010 -20230228 2023届高三03班 0.966 - -013852 -20230228 2023届高三03班 0.862 - -013875 -20230228 2023届高三03班 0.690 - -013880 -20230228 2023届高三03班 0.724 - -014221 -20230228 2023届高三03班 0.448 - -014231 -20230228 2023届高三03班 0.655 0.759 - -013879 -20230228 2023届高三03班 0.828 0.759 - -014204 -20230228 2023届高三04班 0.923 - -014217 -20230228 2023届高三04班 0.923 - -014206 -20230228 2023届高三04班 0.923 - -014207 -20230228 2023届高三04班 0.846 - -014208 -20230228 2023届高三04班 1.000 - -013024 -20230228 2023届高三04班 0.962 - -014227 -20230228 2023届高三04班 0.923 - -014226 -20230228 2023届高三04班 0.923 - -013010 -20230228 2023届高三04班 0.808 - -013852 -20230228 2023届高三04班 0.808 - -013875 -20230228 2023届高三04班 0.577 - -013880 -20230228 2023届高三04班 0.808 - -014221 -20230228 2023届高三04班 0.769 - -014231 -20230228 2023届高三04班 0.615 0.615 - -013879 -20230228 2023届高三04班 0.808 0.654 - -014204 -20230228 2023届高三05班 0.925 - -014217 -20230228 2023届高三05班 1.000 - -014206 -20230228 2023届高三05班 0.900 - -014207 -20230228 2023届高三05班 0.800 - -014208 -20230228 2023届高三05班 0.925 - -013024 -20230228 2023届高三05班 0.925 - -014227 -20230228 2023届高三05班 0.850 - -014226 -20230228 2023届高三05班 0.850 - -013010 -20230228 2023届高三05班 0.975 - -013852 -20230228 2023届高三05班 0.900 - -013875 -20230228 2023届高三05班 0.725 - -013880 -20230228 2023届高三05班 0.600 - -014221 -20230228 2023届高三05班 0.300 - -014231 -20230228 2023届高三05班 0.600 0.725 - -013879 -20230228 2023届高三05班 0.850 0.750 - -014204 -20230228 2023届高三06班 0.850 - -014217 -20230228 2023届高三06班 0.950 - -014206 -20230228 2023届高三06班 0.925 - -014207 -20230228 2023届高三06班 0.875 - -014208 -20230228 2023届高三06班 0.950 - -013024 -20230228 2023届高三06班 1.000 - -014227 -20230228 2023届高三06班 0.800 - -014226 -20230228 2023届高三06班 0.925 - -013010 -20230228 2023届高三06班 0.975 - -013852 -20230228 2023届高三06班 0.750 - -013875 -20230228 2023届高三06班 0.600 - -013880 -20230228 2023届高三06班 0.600 - -014221 -20230228 2023届高三06班 0.775 - -014231 -20230228 2023届高三06班 0.650 0.950 - -013879 -20230228 2023届高三06班 0.725 0.725 - -014204 -20230228 2023届高三07班 0.812 - -014217 -20230228 2023届高三07班 0.938 - -014206 -20230228 2023届高三07班 0.969 - -014207 -20230228 2023届高三07班 0.844 - -014208 -20230228 2023届高三07班 0.906 - -013024 -20230228 2023届高三07班 0.969 - -014227 -20230228 2023届高三07班 0.594 - -014226 -20230228 2023届高三07班 0.875 - -013010 -20230228 2023届高三07班 0.906 - -013852 -20230228 2023届高三07班 0.844 - -013875 -20230228 2023届高三07班 0.438 - -013880 -20230228 2023届高三07班 0.469 - -014221 -20230228 2023届高三07班 0.500 - -014231 -20230228 2023届高三07班 0.594 0.688 - -013879 -20230228 2023届高三07班 0.750 0.781 - -014204 -20230228 2023届高三08班 0.852 - -014217 -20230228 2023届高三08班 0.926 - -014206 -20230228 2023届高三08班 0.963 - -014207 -20230228 2023届高三08班 0.926 - -014208 -20230228 2023届高三08班 0.963 - -013024 -20230228 2023届高三08班 0.963 - -014227 -20230228 2023届高三08班 0.852 - -014226 -20230228 2023届高三08班 0.815 - -013010 -20230228 2023届高三08班 0.963 - -013852 -20230228 2023届高三08班 0.852 - -013875 -20230228 2023届高三08班 0.556 - -013880 -20230228 2023届高三08班 0.444 - -014221 -20230228 2023届高三08班 0.000 - -014231 -20230228 2023届高三08班 0.704 0.815 - -013879 -20230228 2023届高三08班 0.815 0.815 - -014204 -20230228 2023届高三09班 0.938 - -014217 -20230228 2023届高三09班 0.969 - -014206 -20230228 2023届高三09班 1.000 - -014207 -20230228 2023届高三09班 0.844 - -014208 -20230228 2023届高三09班 0.969 - -013024 -20230228 2023届高三09班 1.000 - -014227 -20230228 2023届高三09班 0.812 - -014226 -20230228 2023届高三09班 0.875 - -013010 -20230228 2023届高三09班 0.938 - -013852 -20230228 2023届高三09班 0.844 - -013875 -20230228 2023届高三09班 0.594 - -013880 -20230228 2023届高三09班 0.406 - -014221 -20230228 2023届高三09班 0.500 - -014231 -20230228 2023届高三09班 0.719 0.750 - -013879 -20230228 2023届高三09班 0.969 0.781 +012902 +(1) 证明略; (2) 存在, $a=\dfrac{5-\sqrt{5}}2$, $b=\dfrac{5+\sqrt{5}}2$ +012903 +(1) 总是奇函数, 一定不是偶函数; (2) $(2,+\infty)$ \ No newline at end of file diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index a4405fb2..b8e8dd88 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -281284,7 +281284,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$[1,4]$", "solution": "", "duration": -1, "usages": [], @@ -281357,7 +281357,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, "usages": [], @@ -316986,7 +316986,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [ @@ -317020,7 +317020,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,\\dfrac 13)\\cup (\\dfrac 13,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -317054,7 +317054,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-2,1)$", "solution": "", "duration": -1, "usages": [ @@ -317130,7 +317130,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{4}", "solution": "", "duration": -1, "usages": [ @@ -317164,7 +317164,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\{-1,0\\}$", "solution": "", "duration": -1, "usages": [ @@ -317261,7 +317261,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-1,2)\\cup (2,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -317296,7 +317296,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-1,10)$", "solution": "", "duration": -1, "usages": [ @@ -317330,7 +317330,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -317364,7 +317364,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, "usages": [ @@ -317419,7 +317419,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(1,2)$", "solution": "", "duration": -1, "usages": [ @@ -317474,7 +317474,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,2)$", "solution": "", "duration": -1, "usages": [ @@ -317508,7 +317508,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$-8$", "solution": "", "duration": -1, "usages": [ @@ -317542,7 +317542,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -317639,7 +317639,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[\\dfrac 52,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -317675,7 +317675,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "(如)$(-1,-4)$, 所有满足要求的数对为$(t,4t)$, 其中$t<0$", "solution": "", "duration": -1, "usages": [ @@ -317709,7 +317709,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -317743,7 +317743,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -317777,7 +317777,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[\\dfrac 32,2)$", "solution": "", "duration": -1, "usages": [ @@ -317876,7 +317876,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 当$a=0$时, $y=f(x)$是偶函数; 当$a\\ne 0$时, $y=f(x)$既不是奇函数, 又不是偶函数; (2) $(-\\infty,16]$", "solution": "", "duration": -1, "usages": [ @@ -317911,7 +317911,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "$(-\\infty,-2]\\cup [2,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -317945,7 +317945,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 43$", "solution": "", "duration": -1, "usages": [ @@ -317979,7 +317979,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ @@ -318013,7 +318013,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$f(\\dfrac 73)>f(\\dfrac 72)>f(\\dfrac 75)$", "solution": "", "duration": -1, "usages": [ @@ -318257,7 +318257,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "二", "solution": "", "duration": -1, "usages": [ @@ -318291,7 +318291,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [ @@ -318325,7 +318325,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\pi,0)\\cup (\\pi,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -318380,7 +318380,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,-8]$", "solution": "", "duration": -1, "usages": [ @@ -318414,7 +318414,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [ @@ -318553,7 +318553,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$9$", "solution": "", "duration": -1, "usages": [ @@ -318587,7 +318587,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 1{100}$或$1$", "solution": "", "duration": -1, "usages": [ @@ -318621,7 +318621,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[0,1)$", "solution": "", "duration": -1, "usages": [ @@ -318655,7 +318655,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -318689,7 +318689,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -318744,7 +318744,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{2}\\textcircled{4}", "solution": "", "duration": -1, "usages": [ @@ -318842,7 +318842,7 @@ "第一单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 当$a>0$时, $y=f(x)$为严格增函数; 当$a<0$时, $y=f(x)$为严格减函数; (2) 当$a>0$时, 取值范围为$(-\\infty,\\log_{\\frac 32}(-\\dfrac a{2b}))$; 当$a<0$时, 取值范围为$(\\log_{\\frac 32}(-\\dfrac a{2b}),+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -318876,7 +318876,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac 32$; (2) $(-1,+\\infty)$; (3) $\\{-3\\}\\cup (1,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -318910,7 +318910,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(2,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -318944,7 +318944,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 13$", "solution": "", "duration": -1, "usages": [ @@ -318978,7 +318978,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -319012,7 +319012,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,1]$", "solution": "", "duration": -1, "usages": [ @@ -319046,7 +319046,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$-4$", "solution": "", "duration": -1, "usages": [ @@ -319143,7 +319143,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "当$p\\in [1,3)$时, 方程无解; 当$p\\ge 3$时, 方程有且仅有一解", "solution": "", "duration": -1, "usages": [ @@ -319177,7 +319177,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 证明略; (2) 存在, $a=\\dfrac{5-\\sqrt{5}}2$, $b=\\dfrac{5+\\sqrt{5}}2$", "solution": "", "duration": -1, "usages": [ @@ -319211,7 +319211,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 总是奇函数, 一定不是偶函数; (2) $(2,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -319266,7 +319266,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -319300,7 +319300,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -319334,7 +319334,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -319368,7 +319368,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$x^2+8x+15$", "solution": "", "duration": -1, "usages": [ @@ -319465,7 +319465,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 12$", "solution": "", "duration": -1, "usages": [ @@ -319499,7 +319499,7 @@ "第二单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -319555,7 +319555,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $a\\in (0,9)\\cup (9,+\\infty)$, $b=3$; (2) $4\\sqrt{2}$", "solution": "", "duration": -1, "usages": [ @@ -338561,7 +338561,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $[-\\dfrac 14,2]$; (2) $g(a)=\\dfrac 12 a^2-\\dfrac 12 a$, $D=(1,2]$; (3) $[-1,\\dfrac 14]$", "solution": "", "duration": -1, "usages": [ @@ -339422,7 +339422,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[-2,2]$", "solution": "", "duration": -1, "usages": [ @@ -339457,7 +339457,7 @@ "第七单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -339491,7 +339491,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $2$; (2) $[\\dfrac 12,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -339525,7 +339525,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $[-2,-1]$; (2) $[-2,0]$", "solution": "", "duration": -1, "usages": [ @@ -339559,7 +339559,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "存在, 范围为$[-3,1]$", "solution": "", "duration": -1, "usages": [ @@ -346430,7 +346430,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$1+\\dfrac 1a$", "solution": "", "duration": -1, "usages": [ @@ -346462,7 +346462,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(-\\infty,-1)\\cup (1,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -346494,7 +346494,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, "usages": [ @@ -346526,7 +346526,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -346558,7 +346558,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -346590,7 +346590,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ @@ -346622,7 +346622,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{5}-1}2$", "solution": "", "duration": -1, "usages": [ @@ -346673,7 +346673,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$10$", "solution": "", "duration": -1, "usages": [ @@ -346705,7 +346705,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [ @@ -346737,7 +346737,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [ @@ -346769,7 +346769,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, "usages": [ @@ -346801,7 +346801,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$3$", "solution": "", "duration": -1, "usages": [ @@ -346833,7 +346833,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(1,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -346865,7 +346865,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{1}{0.57^2}$", "solution": "", "duration": -1, "usages": [ @@ -346897,7 +346897,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [ @@ -346929,7 +346929,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac 32$", "solution": "", "duration": -1, "usages": [ @@ -346961,7 +346961,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1}\\textcircled{3}\\textcircled{4}", "solution": "", "duration": -1, "usages": [ @@ -347107,7 +347107,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) 存在, $a=0$; (2) 存在, $a=-1$, $b=0$", "solution": "", "duration": -1, "usages": [ @@ -347139,7 +347139,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $(-\\infty,-1]\\cup [1,+\\infty)$; (2) $f(b)=\\begin{cases}1, & b\\le 0,\\\\1-b^2, & 0\\le b\\le 2,\\\\ 5-4b, & b\\ge 2.\\end{cases}$", "solution": "", "duration": -1, "usages": [ @@ -347171,7 +347171,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) 无整数解, 理由略; (2) $(-\\dfrac{2023}2,+\\infty)$", "solution": "", "duration": -1, "usages": [ @@ -347203,7 +347203,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [ @@ -347235,7 +347235,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(0,1)$", "solution": "", "duration": -1, "usages": [ @@ -347343,7 +347343,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(4,5]$", "solution": "", "duration": -1, "usages": [ @@ -347432,7 +347432,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ @@ -349191,7 +349191,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ @@ -349242,7 +349242,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(\\dfrac 15,\\dfrac 12)$", "solution": "", "duration": -1, "usages": [