20221209 noon

This commit is contained in:
WangWeiye 2022-12-09 12:14:10 +08:00
parent 2acb955c1a
commit fc5e41ba64
8 changed files with 633 additions and 885 deletions

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@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 3,
"metadata": {},
"outputs": [
{
@ -11,7 +11,7 @@
"0"
]
},
"execution_count": 2,
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
@ -19,7 +19,7 @@
"source": [
"import os,re,json\n",
"\"\"\"这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块\"\"\"\n",
"problems = \"1:3\"\n",
"problems = \"4486\"\n",
"\n",
"def generate_number_set(string,dict):\n",
" string = re.sub(r\"[\\n\\s]\",\"\",string)\n",

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@ -2,9 +2,21 @@
"cells": [
{
"cell_type": "code",
"execution_count": null,
"execution_count": 2,
"metadata": {},
"outputs": [],
"outputs": [
{
"ename": "ValueError",
"evalue": "invalid literal for int() with base 10: ''",
"output_type": "error",
"traceback": [
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[1;31mValueError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[1;32mIn[2], line 34\u001b[0m\n\u001b[0;32m 32\u001b[0m \u001b[39mif\u001b[39;00m t\u001b[39m.\u001b[39mupper() \u001b[39m==\u001b[39m \u001b[39m\"\u001b[39m\u001b[39mA\u001b[39m\u001b[39m\"\u001b[39m:\n\u001b[0;32m 33\u001b[0m correspondence_dict[p] \u001b[39m=\u001b[39m problems_list[\u001b[39mint\u001b[39m(re\u001b[39m.\u001b[39mfindall(\u001b[39mr\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m([\u001b[39m\u001b[39m\\\u001b[39m\u001b[39md]+?)\u001b[39m\u001b[39m\\\u001b[39m\u001b[39m.\u001b[39m\u001b[39m\"\u001b[39m,p)[\u001b[39m0\u001b[39m])\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m]\n\u001b[1;32m---> 34\u001b[0m \u001b[39melif\u001b[39;00m \u001b[39mnot\u001b[39;00m (\u001b[39mint\u001b[39;49m(t)\u001b[39m<\u001b[39m\u001b[39m1\u001b[39m \u001b[39mor\u001b[39;00m \u001b[39mint\u001b[39m(t)\u001b[39m>\u001b[39m\u001b[39mlen\u001b[39m(problems_list)):\n\u001b[0;32m 35\u001b[0m correspondence_dict[p] \u001b[39m=\u001b[39m problems_list[\u001b[39mint\u001b[39m(t)\u001b[39m-\u001b[39m\u001b[39m1\u001b[39m] \n\u001b[0;32m 37\u001b[0m outputstr \u001b[39m=\u001b[39m \u001b[39m\"\u001b[39m\u001b[39musages\u001b[39m\u001b[39m\\n\u001b[39;00m\u001b[39m\\n\u001b[39;00m\u001b[39m\"\u001b[39m\n",
"\u001b[1;31mValueError\u001b[0m: invalid literal for int() with base 10: ''"
]
}
],
"source": [
"import zipfile,os,re,time\n",
"import pandas as pd\n",

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@ -2,66 +2,78 @@
"cells": [
{
"cell_type": "code",
"execution_count": 4,
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"38_计数原理与排列组合.tex\n",
"007380\n",
"32_空间向量的概念与性质及立体几何中的证明问题.tex\n",
"009860\n",
"\n",
"\n",
"003666\n",
"001966\n",
"\n",
"\n",
"007455\n",
"001969\n",
"\n",
"\n",
"007502\n",
"010715\n",
"\n",
"\n",
"007521\n",
"001956\n",
"\n",
"\n",
"010861\n",
"030464\n",
"\n",
"\n",
"009333\n",
"030457\n",
"\n",
"\n",
"007673\n",
"010733\n",
"\n",
"\n",
"002537\n",
"001949\n",
"\n",
"\n",
"002586\n",
"001957\n",
"\n",
"\n",
"007432\n",
"010714\n",
"\n",
"\n",
"002563\n",
"001958\n",
"\n",
"\n",
"009262\n",
"001965\n",
"\n",
"\n",
"007476\n",
"003679\n",
"\n",
"\n",
"007494\n",
"030470\n",
"\n",
"\n",
"003640\n",
"030454\n",
"\n",
"\n",
"009351\n",
"009858\n",
"\n",
"\n",
"003574\n",
"001980\n",
"\n",
"\n",
"001968\n",
"\n",
"\n",
"001976\n",
"\n",
"\n",
"001954\n",
"\n",
"\n",
"030479\n",
"\n",
"\n"
]
@ -71,7 +83,7 @@
"import os,json,re\n",
"\n",
"#这里需要修改, 设定路径与选择文件\n",
"fileind = 38\n",
"fileind = 32\n",
"# path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n",
"path = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\第一轮复习讲义\"\n",
"\n",

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@ -2,134 +2,36 @@
"cells": [
{
"cell_type": "code",
"execution_count": 5,
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.800\n",
"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t1.000\n",
"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.800\n",
"题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.714\n",
"题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.629\n",
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"题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.943\n",
"题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.629\n",
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"题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三10班\t0.771\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.955\n",
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"题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三11班\t0.591\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三12班\t1.000\n",
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"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t1.000\n",
"题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.960\n",
"题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.480\n",
"题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三01班\t0.920\n",
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"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.846\n",
"题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.885\n",
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"题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.808\n",
"题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三03班\t0.615\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t1.000\n",
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"题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.808\n",
"题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三04班\t0.654\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.974\n",
"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.872\n",
"题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.744\n",
"题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.821\n",
"题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三05班\t0.949\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t1.000\n",
"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.795\n",
"题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.692\n",
"题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.538\n",
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"题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三06班\t0.872\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三07班\t0.964\n",
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"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t1.000\n",
"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.929\n",
"题号: 007528 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.750\n",
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"题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.714\n",
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"题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.536\n",
"题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.893\n",
"题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.500\n",
"题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三08班\t0.536\n",
"题号: 002623 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.857\n",
"题号: 003764 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.964\n",
"题号: 007575 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.821\n",
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"题号: 030495 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.536\n",
"题号: 007630 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.893\n",
"题号: 004342 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.643\n",
"题号: 007535 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.429\n",
"题号: 007539 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.714\n",
"题号: 007643 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.464\n",
"题号: 004030 , 字段: usages 中已添加数据: 20221208\t2023届高三09班\t0.143\n"
"题号: 009876 , 字段: ans 中已修改数据: (1) $27$; (2) $86$; (3) $13$\n",
"题号: 030075 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{3}}4R^2$\n",
"题号: 004596 , 字段: ans 中已修改数据: $-\\dfrac 13$, $\\dfrac{13}6$\n",
"题号: 004597 , 字段: ans 中已修改数据: (1) $26.5$; (2) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 4{16} & \\dfrac 6{16} & \\dfrac 4{16} & \\dfrac 1{16}\\end{pmatrix}$, 期望为$2$\n",
"题号: 004598 , 字段: ans 中已修改数据: (1) 调整前的平均利润为$5000$元每天, 调整后的平均利润为$15000$元每天, 因此调整后的平均利润比调整前更多; (2) 应定价为每张$13$元\n",
"题号: 004599 , 字段: ans 中已修改数据: (1) $\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 & 5 & 6\\\\ 0.01 & 0.04 & 0.12 & 0.22 & 0.28 & 0.24 & 0.09 \\end{pmatrix}$; (2) 方案一所需费用的期望为$10720$元, 方案二所需费用的期望为$10420$元, 因此选择第二种延保方案更合算\n",
"题号: 004600 , 字段: ans 中已修改数据: $\\dfrac{5}{9}$, $\\dfrac{5}{36}$\n",
"题号: 004601 , 字段: ans 中已修改数据: (1) $\\dfrac 35$; (2) 分布列为$\\begin{pmatrix} 0 & 1 & 2 \\\\ \\dfrac 25 & \\dfrac 25 & \\dfrac 15\\end{pmatrix}$, $E[X]=\\dfrac 45$, $D[X]=\\dfrac{14}{25}$\n",
"题号: 004602 , 字段: ans 中已修改数据: (1) $\\dfrac 5{12}$; (2) 分布列为$\\begin{pmatrix} 0 & 40 & 80 & 120 & 160 \\\\ \\dfrac 1{24} & \\dfrac 14 & \\dfrac 5{12} & \\dfrac 14 & \\dfrac 1{24}\\end{pmatrix}$, $E[X]=80$, $D[X]=\\dfrac{4000}3$\n",
"题号: 004603 , 字段: ans 中已修改数据: $\\dfrac 2{27}$\n",
"题号: 004604 , 字段: ans 中已修改数据: $6$\n",
"题号: 004605 , 字段: ans 中已修改数据: $\\dfrac{20}{243}$\n",
"题号: 004606 , 字段: ans 中已修改数据: (1) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ 0.2p^2-0.4p+0.2 & 0.4p^2-1.2p+0.8 & -1.4p^2+1.6p & 0.8p^2\\end{pmatrix}$, $E[X]=2p+0.8$; (2) $0.96$, $700$棵\n",
"题号: 004607 , 字段: ans 中已修改数据: (1) $\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ \\dfrac{729}{1000} & \\dfrac{243}{1000} & \\dfrac{27}{1000} & \\dfrac 1{1000}\\end{pmatrix}$; (2) 一轮游戏获得的分数$Y$的期望$E[Y]=-1.69<0$, 所以许多人的分数没有增加反而减少了\n",
"题号: 004608 , 字段: ans 中已修改数据: (1) 当$n=5$或$6$时, 有$3$个坑需要补种的概率最大, 最大概率为$\\dfrac 5{16}$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 14 & \\dfrac 38 & \\dfrac 14 & \\dfrac 1{16}\\end{pmatrix}$, $E[X]=2$\n",
"题号: 004611 , 字段: ans 中已修改数据: (1) $20p$; (2) $3.2p-1.2$; (3) 当$p\\in (0,\\dfrac 34]$时, 应选择第一个项目(期望更高, 或者期望相同的情况下方差更低), 当$p\\in (\\dfrac 34,1)$时, 应选择第二个项目\n",
"题号: 004612 , 字段: ans 中已修改数据: $\\dfrac {43}{138}$\n",
"题号: 004613 , 字段: ans 中已修改数据: $\\dfrac{56}{165}$\n",
"题号: 004614 , 字段: ans 中已修改数据: $0.042$\n",
"题号: 004615 , 字段: ans 中已修改数据: (1) $0.191$; (2) $\\dfrac 53$\n",
"题号: 004616 , 字段: ans 中已修改数据: (1) $48$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac{12}{19} & \\dfrac{32}{95} & \\dfrac 3{95}\\end{pmatrix}$, $E[X]=\\dfrac 25$; (3) $S=0.012<0.05$, 故本次测试对难度的预估是合理的\n",
"题号: 004617 , 字段: ans 中已修改数据: (1) $(a,b,c)=(9,6,6)$; (2) $\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac 17 & \\dfrac 47 & \\dfrac 27\\end{pmatrix}$\n",
"题号: 004618 , 字段: ans 中已修改数据: (1) 约$400$名; (2) $0.49$; (3) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 \\\\ \\dfrac 1{20} & \\dfrac 9{20} & \\dfrac 9{20} & \\dfrac 1{20}\\end{pmatrix}$, $E[X]=\\dfrac 32$\n"
]
}
],

View File

@ -1,365 +1,71 @@
usages
ans
002623
20221208 2023届高三10班 0.800
9876
(1) $27$; (2) $86$; (3) $13$
003764
20221208 2023届高三10班 1.000
030075
$\dfrac{\sqrt{3}}4R^2$
007575
20221208 2023届高三10班 0.800
004596
$-\dfrac 13$, $\dfrac{13}6$
007528
20221208 2023届高三10班 0.714
004597
(1) $26.5$; (2) 分布列为$\begin{pmatrix} 0 & 1 & 2 & 3 & 4 \\ \dfrac 1{16} & \dfrac 4{16} & \dfrac 6{16} & \dfrac 4{16} & \dfrac 1{16}\end{pmatrix}$, 期望为$2$
030495
20221208 2023届高三10班 0.629
004598
(1) 调整前的平均利润为$5000$元每天, 调整后的平均利润为$15000$元每天, 因此调整后的平均利润比调整前更多; (2) 应定价为每张$13$元
007630
20221208 2023届高三10班 0.971
004599
(1) $\begin{pmatrix} 0 & 1 & 2 & 3 & 4 & 5 & 6\\ 0.01 & 0.04 & 0.12 & 0.22 & 0.28 & 0.24 & 0.09 \end{pmatrix}$; (2) 方案一所需费用的期望为$10720$元, 方案二所需费用的期望为$10420$元, 因此选择第二种延保方案更合算
004342
20221208 2023届高三10班 0.943
004600
$\dfrac{5}{9}$, $\dfrac{5}{36}$
007535
20221208 2023届高三10班 0.629
004601
(1) $\dfrac 35$; (2) 分布列为$\begin{pmatrix} 0 & 1 & 2 \\ \dfrac 25 & \dfrac 25 & \dfrac 15\end{pmatrix}$, $E[X]=\dfrac 45$, $D[X]=\dfrac{14}{25}$
007539
20221208 2023届高三10班 0.829
004602
(1) $\dfrac 5{12}$; (2) 分布列为$\begin{pmatrix} 0 & 40 & 80 & 120 & 160 \\ \dfrac 1{24} & \dfrac 14 & \dfrac 5{12} & \dfrac 14 & \dfrac 1{24}\end{pmatrix}$, $E[X]=80$, $D[X]=\dfrac{4000}3$
007643
20221208 2023届高三10班 0.771
004030
20221208 2023届高三10班 0.400
004603
$\dfrac 2{27}$
002623
20221208 2023届高三11班 0.818
004604
$6$
003764
20221208 2023届高三11班 0.955
004605
$\dfrac{20}{243}$
007575
20221208 2023届高三11班 0.727
004606
(1) 分布列为$\begin{pmatrix} 0 & 1 & 2 & 3 \\ 0.2p^2-0.4p+0.2 & 0.4p^2-1.2p+0.8 & -1.4p^2+1.6p & 0.8p^2\end{pmatrix}$, $E[X]=2p+0.8$; (2) $0.96$, $700$棵
007528
20221208 2023届高三11班 0.773
004607
(1) $\begin{pmatrix} 0 & 1 & 2 & 3 \\ \dfrac{729}{1000} & \dfrac{243}{1000} & \dfrac{27}{1000} & \dfrac 1{1000}\end{pmatrix}$; (2) 一轮游戏获得的分数$Y$的期望$E[Y]=-1.69<0$, 所以许多人的分数没有增加反而减少了
030495
20221208 2023届高三11班 0.591
004608
(1) 当$n=5$或$6$时, 有$3$个坑需要补种的概率最大, 最大概率为$\dfrac 5{16}$; (2) 分布列为$\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\ \dfrac 1{16} & \dfrac 14 & \dfrac 38 & \dfrac 14 & \dfrac 1{16}\end{pmatrix}$, $E[X]=2$
007630
20221208 2023届高三11班 0.818
004611
(1) $20p$; (2) $3.2p-1.2$; (3) 当$p\in (0,\dfrac 34]$时, 应选择第一个项目(期望更高, 或者期望相同的情况下方差更低), 当$p\in (\dfrac 34,1)$时, 应选择第二个项目
004342
20221208 2023届高三11班 0.636
004612
$\dfrac {43}{138}$
007535
20221208 2023届高三11班 0.409
004613
$\dfrac{56}{165}$
007539
20221208 2023届高三11班 0.727
004614
$0.042$
007643
20221208 2023届高三11班 0.409
004615
(1) $0.191$; (2) $\dfrac 53$
004030
20221208 2023届高三11班 0.318
004616
(1) $48$; (2) 分布列为$\begin{pmatrix}0 & 1 & 2 \\ \dfrac{12}{19} & \dfrac{32}{95} & \dfrac 3{95}\end{pmatrix}$, $E[X]=\dfrac 25$; (3) $S=0.012<0.05$, 故本次测试对难度的预估是合理的
002623
20221208 2023届高三12班 0.917
003764
20221208 2023届高三12班 1.000
007575
20221208 2023届高三12班 0.833
007528
20221208 2023届高三12班 0.792
030495
20221208 2023届高三12班 0.750
007630
20221208 2023届高三12班 0.917
004342
20221208 2023届高三12班 0.875
007535
20221208 2023届高三12班 0.750
007539
20221208 2023届高三12班 0.792
007643
20221208 2023届高三12班 0.500
004030
20221208 2023届高三12班 0.292
002623
20221208 2023届高三01班 0.840
003764
20221208 2023届高三01班 1.000
007575
20221208 2023届高三01班 1.000
007528
20221208 2023届高三01班 0.960
030495
20221208 2023届高三01班 0.480
007630
20221208 2023届高三01班 0.920
004342
20221208 2023届高三01班 0.800
007535
20221208 2023届高三01班 0.880
007539
20221208 2023届高三01班 0.920
007643
20221208 2023届高三01班 0.800
004030
20221208 2023届高三01班 0.880
002623
20221208 2023届高三03班 0.923
003764
20221208 2023届高三03班 1.000
007575
20221208 2023届高三03班 0.846
007528
20221208 2023届高三03班 0.885
030495
20221208 2023届高三03班 0.577
007630
20221208 2023届高三03班 0.731
004342
20221208 2023届高三03班 0.808
007535
20221208 2023届高三03班 0.846
007539
20221208 2023届高三03班 0.808
007643
20221208 2023届高三03班 0.615
004030
20221208 2023届高三03班 0.692
002623
20221208 2023届高三04班 0.923
003764
20221208 2023届高三04班 1.000
007575
20221208 2023届高三04班 0.885
007528
20221208 2023届高三04班 0.538
030495
20221208 2023届高三04班 0.308
007630
20221208 2023届高三04班 0.654
004342
20221208 2023届高三04班 0.846
007535
20221208 2023届高三04班 0.808
007539
20221208 2023届高三04班 0.654
007643
20221208 2023届高三04班 0.115
004030
20221208 2023届高三04班 0.615
002623
20221208 2023届高三05班 0.897
003764
20221208 2023届高三05班 0.974
007575
20221208 2023届高三05班 0.872
007528
20221208 2023届高三05班 0.744
030495
20221208 2023届高三05班 0.821
007630
20221208 2023届高三05班 0.949
004342
20221208 2023届高三05班 0.923
007535
20221208 2023届高三05班 0.795
007539
20221208 2023届高三05班 0.846
007643
20221208 2023届高三05班 0.769
004030
20221208 2023届高三05班 0.487
002623
20221208 2023届高三06班 0.949
003764
20221208 2023届高三06班 1.000
007575
20221208 2023届高三06班 0.795
007528
20221208 2023届高三06班 0.692
030495
20221208 2023届高三06班 0.538
007630
20221208 2023届高三06班 0.923
004342
20221208 2023届高三06班 0.949
007535
20221208 2023届高三06班 0.795
007539
20221208 2023届高三06班 0.846
007643
20221208 2023届高三06班 0.872
004030
20221208 2023届高三06班 0.564
002623
20221208 2023届高三07班 0.929
003764
20221208 2023届高三07班 0.964
007575
20221208 2023届高三07班 0.929
007528
20221208 2023届高三07班 0.679
030495
20221208 2023届高三07班 0.179
007630
20221208 2023届高三07班 0.857
004342
20221208 2023届高三07班 0.857
007535
20221208 2023届高三07班 0.714
007539
20221208 2023届高三07班 0.750
007643
20221208 2023届高三07班 0.107
004030
20221208 2023届高三07班 0.607
002623
20221208 2023届高三08班 0.857
003764
20221208 2023届高三08班 1.000
007575
20221208 2023届高三08班 0.929
007528
20221208 2023届高三08班 0.750
030495
20221208 2023届高三08班 0.286
007630
20221208 2023届高三08班 0.714
004342
20221208 2023届高三08班 0.821
007535
20221208 2023届高三08班 0.536
007539
20221208 2023届高三08班 0.893
007643
20221208 2023届高三08班 0.500
004030
20221208 2023届高三08班 0.536
002623
20221208 2023届高三09班 0.857
003764
20221208 2023届高三09班 0.964
007575
20221208 2023届高三09班 0.821
007528
20221208 2023届高三09班 0.679
030495
20221208 2023届高三09班 0.536
007630
20221208 2023届高三09班 0.893
004342
20221208 2023届高三09班 0.643
007535
20221208 2023届高三09班 0.429
007539
20221208 2023届高三09班 0.714
007643
20221208 2023届高三09班 0.464
004030
20221208 2023届高三09班 0.143
004617
(1) $(a,b,c)=(9,6,6)$; (2) $\begin{pmatrix}0 & 1 & 2 \\ \dfrac 17 & \dfrac 47 & \dfrac 27\end{pmatrix}$
004618
(1) 约$400$名; (2) $0.49$; (3) 分布列为$\begin{pmatrix}0 & 1 & 2 & 3 \\ \dfrac 1{20} & \dfrac 9{20} & \dfrac 9{20} & \dfrac 1{20}\end{pmatrix}$, $E[X]=\dfrac 32$

View File

@ -2,353 +2,468 @@
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"example.tex\n",
"填空题\n",
"选择题\n",
"解答题\n",
"\n",
"\n",
"\n",
"基础考.tex\n",
"填空题\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",
"(012045)\n",
"(012046)\n",
"(012047)\n",
"(012048)\n",
"解答题\n",
"(012049)\n",
"(012050)\n",
"(012051)\n",
"(012052)\n",
"(012053)\n",
"\n",
"\n",
"\n",
"月考01.tex\n",
"填空题\n",
"(004080)\n",
"(004122)\n",
"(004312)\n",
"(004451)\n",
"(004557)\n",
"(004276)\n",
"(030019)\n",
"(004356)\n",
"(004320)\n",
"(004359)\n",
"(030020)\n",
"(004091)\n",
"选择题\n",
"(004400)\n",
"(008101)\n",
"(004157)\n",
"(004440)\n",
"解答题\n",
"(004370)\n",
"(004224)\n",
"(004328)\n",
"(004444)\n",
"(004247)\n",
"\n",
"\n",
"\n",
"测验01.tex\n",
"填空题\n",
"(004810)\n",
"前两单元简单题_2_学生用_20221021.tex\n",
"enumerate\n",
"(000020)\n",
"(000069)\n",
"(000362)\n",
"(000389)\n",
"(000431)\n",
"(000436)\n",
"(000474)\n",
"(000622)\n",
"(000738)\n",
"(000863)\n",
"(000884)\n",
"(001050)\n",
"(001073)\n",
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"(001231)\n",
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"(001300)\n",
"(001316)\n",
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"(001351)\n",
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"(002733)\n",
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"(002847)\n",
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"(002871)\n",
"(002878)\n",
"(002884)\n",
"(002893)\n",
"(002911)\n",
"(002914)\n",
"(002994)\n",
"(003777)\n",
"(004409)\n",
"(004929)\n",
"(005230)\n",
"(004108)\n",
"(004106)\n",
"(004949)\n",
"(007809)\n",
"(001339)\n",
"(020068)\n",
"选择题\n",
"(020081)\n",
"(005463)\n",
"(005508)\n",
"(005621)\n",
"(005720)\n",
"(007911)\n",
"(007941)\n",
"(008392)\n",
"(009490)\n",
"(009511)\n",
"(010114)\n",
"(010178)\n",
"(030076)\n",
"\n",
"\n",
"\n",
"前两单元简单题_学生用_20221013.tex\n",
"enumerate\n",
"(000033)\n",
"(000048)\n",
"(000049)\n",
"(000061)\n",
"(000326)\n",
"(000757)\n",
"(000924)\n",
"(001238)\n",
"(001245)\n",
"(001286)\n",
"(001292)\n",
"(001296)\n",
"(001314)\n",
"(001326)\n",
"(002697)\n",
"(002710)\n",
"(002772)\n",
"(002784)\n",
"(002793)\n",
"(002800)\n",
"(002833)\n",
"(002909)\n",
"(002925)\n",
"(002955)\n",
"(003041)\n",
"(003662)\n",
"(003815)\n",
"(003936)\n",
"(004080)\n",
"(004282)\n",
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"(007959)\n",
"解答题\n",
"(002859)\n",
"(011131)\n",
"(009468)\n",
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"(009530)\n",
"(009531)\n",
"(009532)\n",
"(010125)\n",
"(010137)\n",
"(020079)\n",
"\n",
"\n",
"\n",
"测验02.tex\n",
"填空题\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",
"(005196)\n",
"(002853)\n",
"(005574)\n",
"(004385)\n",
"解答题\n",
"(002881)\n",
"(002903)\n",
"(002970)\n",
"(004680)\n",
"(004184)\n",
"\n",
"\n",
"\n",
"测验03.tex\n",
"填空题\n",
"(005888)\n",
"(004248)\n",
"(005943)\n",
"(030104)\n",
"(030102)\n",
"(030101)\n",
"(004322)\n",
"选择题\n",
"(006346)\n",
"(005993)\n",
"(006061)\n",
"解答题\n",
"(003627)\n",
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"\n",
"\n",
"\n",
"测验04.tex\n",
"填空题\n",
"(001506)\n",
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"(004098)\n",
"(004424)\n",
"(004509)\n",
"\n",
"\n",
"\n",
"测验05.tex\n",
"填空题\n",
"(003632)\n",
"必修内容较简单题_学生用_20221126.tex\n",
"enumerate\n",
"(000218)\n",
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"\n",
"\n",
"\n",
"测验06.tex\n",
"填空题\n",
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"测验07.tex\n",
"填空题\n",
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"测验08.tex\n",
"填空题\n",
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"\n",
"测验09.tex\n",
"填空题\n",
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"必修前八单元简单题_学生用_20221111.tex\n",
"enumerate\n",
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"填空题\n",
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"解答题\n",
"(012112)\n",
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"第三单元简单题_1.tex\n",
"enumerate\n",
"(000101)\n",
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"\n",
"\n",
"\n",
"线上测验01.tex\n",
"填空题\n",
"(000382)\n",
"(001997)\n",
"第三第五单元简单题_学生用_20221104.tex\n",
"enumerate\n",
"(001554)\n",
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"\n",
"\n",
"\n"
@ -358,7 +473,7 @@
"source": [
"import os,re\n",
"\"---此处输入文件夹名---\"\n",
"directory = r\"C:\\Users\\wang weiye\\Documents\\wwy sync\\23届\\上学期测验卷\"\n",
"directory = r\"C:\\Users\\weiye\\Documents\\wwy sync\\23届\\简单题\"\n",
"\"---文件夹名输入结束---\"\n",
"\n",
"filelist = [filename for filename in os.listdir(directory) if \".tex\" in filename]\n",
@ -407,7 +522,7 @@
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.9.7 ('base')",
"display_name": "Python 3.8.15 ('mathdept')",
"language": "python",
"name": "python3"
},
@ -421,12 +536,12 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.7"
"version": "3.8.15"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
"hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
}
}
},

View File

@ -2,16 +2,16 @@
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"开始编译教师版本pdf文件: 临时文件/题库_教师用_20221208.tex\n",
"开始编译教师版本pdf文件: 临时文件/临时_教师用_20221209.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/题库_学生用_20221208.tex\n",
"开始编译学生版本pdf文件: 临时文件/临时_学生用_20221209.tex\n",
"0\n"
]
}
@ -26,6 +26,7 @@
"\"\"\"---设置题目列表---\"\"\"\n",
"#留空为编译全题库, a为读取临时文件中的题号筛选.txt文件生成题库\n",
"problems = r\"\"\"\n",
"004596,004597,004598,004599,004600,004601,004602,004603,004604,004605,004606,004607,004608,004611,004612,004613,004614,004615,004616,004617,004618\n",
"\n",
"\n",
"\"\"\"\n",
@ -33,7 +34,7 @@
"\n",
"\"\"\"---设置文件名---\"\"\"\n",
"#目录和文件的分隔务必用/\n",
"filename = \"临时文件/题库\"\n",
"filename = \"临时文件/临时\"\n",
"\"\"\"---设置文件名结束---\"\"\"\n",
"\n",
"\n",

View File

@ -53398,7 +53398,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $5$; (2) $\\arccos\\dfrac{23\\sqrt{7}}{70}$",
"solution": "",
"duration": -1,
"usages": [
@ -53541,7 +53541,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{(\\overrightarrow{a}\\cdot \\overrightarrow{c})\\overrightarrow{b}^2-(\\overrightarrow{b}\\cdot \\overrightarrow{c})(\\overrightarrow{a}\\cdot \\overrightarrow{b})}{\\overrightarrow{a}^2\\overrightarrow{b}^2-(\\overrightarrow{a}\\cdot\\overrightarrow{b})^2}$",
"solution": "",
"duration": -1,
"usages": [
@ -53609,7 +53609,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\overrightarrow{AG}=\\dfrac 13 \\overrightarrow{a}+\\dfrac 13\\overrightarrow{b}+\\dfrac 13 \\overrightarrow {c}$; (2) 证明略",
"solution": "",
"duration": -1,
"usages": [
@ -53645,7 +53645,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "$3$",
"solution": "",
"duration": -1,
"usages": [
@ -53680,7 +53680,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "证明略",
"solution": "",
"duration": -1,
"usages": [
@ -53878,7 +53878,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$(\\dfrac 3{13},\\dfrac 4{13},\\dfrac{12}{13})$",
"solution": "",
"duration": -1,
"usages": [
@ -53919,7 +53919,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac{20}3$",
"solution": "",
"duration": -1,
"usages": [
@ -53978,7 +53978,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$(-2,3,0)$或$(4,-1,-2)$",
"solution": "",
"duration": -1,
"usages": [
@ -54017,7 +54017,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "$(\\dfrac{4\\sqrt{21}}{21},\\dfrac{2\\sqrt{21}}{21},\\dfrac{\\sqrt{21}}{21})$或$(-\\dfrac{4\\sqrt{21}}{21},-\\dfrac{2\\sqrt{21}}{21},-\\dfrac{\\sqrt{21}}{21})$",
"solution": "",
"duration": -1,
"usages": [
@ -54212,7 +54212,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$(9,0,11)$",
"solution": "",
"duration": -1,
"usages": [
@ -54334,7 +54334,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$(\\dfrac 15,4)\\cup (4,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [
@ -98912,7 +98912,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$(-4,3,2)$",
"solution": "",
"duration": -1,
"usages": [
@ -119088,7 +119088,7 @@
"第一单元"
],
"genre": "填空题",
"ans": "",
"ans": "$\\{-2,-1\\}$",
"solution": "",
"duration": -1,
"usages": [
@ -119127,7 +119127,7 @@
"第一单元"
],
"genre": "填空题",
"ans": "",
"ans": "$(1,2)$",
"solution": "",
"duration": -1,
"usages": [
@ -119173,7 +119173,7 @@
"第六单元"
],
"genre": "填空题",
"ans": "",
"ans": "$36\\pi$",
"solution": "",
"duration": -1,
"usages": [
@ -119211,7 +119211,7 @@
"第五单元"
],
"genre": "填空题",
"ans": "",
"ans": "$1+\\mathrm{i}$",
"solution": "",
"duration": -1,
"usages": [
@ -119252,7 +119252,7 @@
"第四单元"
],
"genre": "填空题",
"ans": "",
"ans": "$2$",
"solution": "",
"duration": -1,
"usages": [
@ -119288,7 +119288,7 @@
"组合"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{45}{56}$",
"solution": "",
"duration": -1,
"usages": [
@ -119355,7 +119355,7 @@
"二项式定理"
],
"genre": "填空题",
"ans": "",
"ans": "$60$",
"solution": "",
"duration": -1,
"usages": [
@ -119395,7 +119395,7 @@
"第四单元"
],
"genre": "填空题",
"ans": "",
"ans": "$a_n=1-3^n$",
"solution": "",
"duration": -1,
"usages": [
@ -119430,7 +119430,7 @@
"第五单元"
],
"genre": "填空题",
"ans": "",
"ans": "$2$",
"solution": "",
"duration": -1,
"usages": [
@ -119465,7 +119465,7 @@
"第四单元"
],
"genre": "填空题",
"ans": "",
"ans": "$3$",
"solution": "",
"duration": -1,
"usages": [
@ -119500,7 +119500,7 @@
"第六单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [
@ -119535,7 +119535,7 @@
"第九单元"
],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [
@ -119570,7 +119570,7 @@
"第五单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [
@ -119605,7 +119605,7 @@
"第六单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [
@ -119666,7 +119666,7 @@
"第六单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $9\\sqrt{3}$; (2) $\\arccos \\dfrac 3{10}$",
"solution": "",
"duration": -1,
"usages": [
@ -119749,7 +119749,7 @@
"第二单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 约为$6.7^\\circ$; (2) 最小值为$256$",
"solution": "",
"duration": -1,
"usages": [
@ -122746,7 +122746,7 @@
"概率"
],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac 13$, $\\dfrac{13}6$",
"solution": "",
"duration": -1,
"usages": [
@ -122773,7 +122773,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $26.5$; (2) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 4{16} & \\dfrac 6{16} & \\dfrac 4{16} & \\dfrac 1{16}\\end{pmatrix}$, 期望为$2$",
"solution": "",
"duration": -1,
"usages": [
@ -122798,7 +122798,7 @@
"概率"
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"genre": "解答题",
"ans": "",
"ans": "(1) 调整前的平均利润为$5000$元每天, 调整后的平均利润为$15000$元每天, 因此调整后的平均利润比调整前更多; (2) 应定价为每张$13$元",
"solution": "",
"duration": -1,
"usages": [
@ -122823,7 +122823,7 @@
"概率"
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"genre": "解答题",
"ans": "",
"ans": "(1) $\\begin{pmatrix} 0 & 1 & 2 & 3 & 4 & 5 & 6\\\\ 0.01 & 0.04 & 0.12 & 0.22 & 0.28 & 0.24 & 0.09 \\end{pmatrix}$; (2) 方案一所需费用的期望为$10720$元, 方案二所需费用的期望为$10420$元, 因此选择第二种延保方案更合算",
"solution": "",
"duration": -1,
"usages": [
@ -122848,7 +122848,7 @@
"概率"
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"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{5}{9}$, $\\dfrac{5}{36}$",
"solution": "",
"duration": -1,
"usages": [
@ -122874,7 +122874,7 @@
"概率"
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"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac 35$; (2) 分布列为$\\begin{pmatrix} 0 & 1 & 2 \\\\ \\dfrac 25 & \\dfrac 25 & \\dfrac 15\\end{pmatrix}$, $E[X]=\\dfrac 45$, $D[X]=\\dfrac{14}{25}$",
"solution": "",
"duration": -1,
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@ -122898,7 +122898,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac 5{12}$; (2) 分布列为$\\begin{pmatrix} 0 & 40 & 80 & 120 & 160 \\\\ \\dfrac 1{24} & \\dfrac 14 & \\dfrac 5{12} & \\dfrac 14 & \\dfrac 1{24}\\end{pmatrix}$, $E[X]=80$, $D[X]=\\dfrac{4000}3$",
"solution": "",
"duration": -1,
"usages": [
@ -122922,7 +122922,7 @@
"概率"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac 2{27}$",
"solution": "",
"duration": -1,
"usages": [
@ -122946,7 +122946,7 @@
"概率"
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"genre": "填空题",
"ans": "",
"ans": "$6$",
"solution": "",
"duration": -1,
"usages": [
@ -122970,7 +122970,7 @@
"概率"
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"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{20}{243}$",
"solution": "",
"duration": -1,
"usages": [
@ -122994,7 +122994,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 分布列为$\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ 0.2p^2-0.4p+0.2 & 0.4p^2-1.2p+0.8 & -1.4p^2+1.6p & 0.8p^2\\end{pmatrix}$, $E[X]=2p+0.8$; (2) $0.96$, $700$棵",
"solution": "",
"duration": -1,
"usages": [
@ -123018,7 +123018,7 @@
"概率"
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"genre": "解答题",
"ans": "",
"ans": "(1) $\\begin{pmatrix} 0 & 1 & 2 & 3 \\\\ \\dfrac{729}{1000} & \\dfrac{243}{1000} & \\dfrac{27}{1000} & \\dfrac 1{1000}\\end{pmatrix}$; (2) 一轮游戏获得的分数$Y$的期望$E[Y]=-1.69<0$, 所以许多人的分数没有增加反而减少了",
"solution": "",
"duration": -1,
"usages": [
@ -123042,7 +123042,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 当$n=5$或$6$时, 有$3$个坑需要补种的概率最大, 最大概率为$\\dfrac 5{16}$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\\\ \\dfrac 1{16} & \\dfrac 14 & \\dfrac 38 & \\dfrac 14 & \\dfrac 1{16}\\end{pmatrix}$, $E[X]=2$",
"solution": "",
"duration": -1,
"usages": [
@ -123110,7 +123110,7 @@
"概率"
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"genre": "解答题",
"ans": "",
"ans": "(1) $20p$; (2) $3.2p-1.2$; (3) 当$p\\in (0,\\dfrac 34]$时, 应选择第一个项目(期望更高, 或者期望相同的情况下方差更低), 当$p\\in (\\dfrac 34,1)$时, 应选择第二个项目",
"solution": "",
"duration": -1,
"usages": [
@ -123136,7 +123136,7 @@
"概率"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac {43}{138}$",
"solution": "",
"duration": -1,
"usages": [
@ -123160,7 +123160,7 @@
"概率"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{56}{165}$",
"solution": "",
"duration": -1,
"usages": [
@ -123184,7 +123184,7 @@
"概率"
],
"genre": "填空题",
"ans": "",
"ans": "$0.042$",
"solution": "",
"duration": -1,
"usages": [
@ -123208,7 +123208,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $0.191$; (2) $\\dfrac 53$",
"solution": "",
"duration": -1,
"usages": [
@ -123232,7 +123232,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $48$; (2) 分布列为$\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac{12}{19} & \\dfrac{32}{95} & \\dfrac 3{95}\\end{pmatrix}$, $E[X]=\\dfrac 25$; (3) $S=0.012<0.05$, 故本次测试对难度的预估是合理的",
"solution": "",
"duration": -1,
"usages": [
@ -123256,7 +123256,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $(a,b,c)=(9,6,6)$; (2) $\\begin{pmatrix}0 & 1 & 2 \\\\ \\dfrac 17 & \\dfrac 47 & \\dfrac 27\\end{pmatrix}$",
"solution": "",
"duration": -1,
"usages": [
@ -123280,7 +123280,7 @@
"概率"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 约$400$名; (2) $0.49$; (3) 分布列为$\\begin{pmatrix}0 & 1 & 2 & 3 \\\\ \\dfrac 1{20} & \\dfrac 9{20} & \\dfrac 9{20} & \\dfrac 1{20}\\end{pmatrix}$, $E[X]=\\dfrac 32$",
"solution": "",
"duration": -1,
"usages": [
@ -140174,7 +140174,7 @@
"第二单元"
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"genre": "填空题",
"ans": "",
"ans": "$[-1,1]$",
"solution": "",
"duration": -1,
"usages": [
@ -243498,7 +243498,7 @@
"概率"
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"genre": "填空题",
"ans": "$0.12$",
"ans": "$0.18$, $0.12$",
"solution": "",
"duration": -1,
"usages": [
@ -246144,7 +246144,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac 12 a^2$, $-\\dfrac 14 a^2$",
"solution": "",
"duration": -1,
"usages": [
@ -246205,7 +246205,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 假命题, 理由略; (2) 假命题, 理由略; (3) 真命题, 理由略",
"solution": "",
"duration": -1,
"usages": [
@ -246597,7 +246597,7 @@
"第四单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $27$; (2) $86$; (3) $13$",
"solution": "",
"duration": -1,
"usages": [
@ -266449,7 +266449,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "证明略",
"solution": "",
"duration": -1,
"usages": [
@ -266482,7 +266482,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac 12 \\overrightarrow{a}+\\dfrac 12\\overrightarrow{b}+\\dfrac 12 \\overrightarrow {c}$",
"solution": "",
"duration": -1,
"usages": [
@ -266950,7 +266950,7 @@
"空间向量"
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"genre": "解答题",
"ans": "",
"ans": "证明略",
"solution": "",
"duration": -1,
"usages": [
@ -275980,7 +275980,7 @@
"第一单元"
],
"genre": "填空题",
"ans": "",
"ans": "$(-\\infty,0)\\cup (1,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [
@ -276022,7 +276022,7 @@
"第七单元"
],
"genre": "填空题",
"ans": "",
"ans": "$(\\dfrac 12,0)$",
"solution": "",
"duration": -1,
"usages": [
@ -276089,7 +276089,7 @@
"第五单元"
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"genre": "填空题",
"ans": "",
"ans": "$(-\\dfrac 35,-\\dfrac 45)$",
"solution": "",
"duration": -1,
"usages": [
@ -276123,7 +276123,7 @@
"第四单元"
],
"genre": "填空题",
"ans": "",
"ans": "$12$",
"solution": "",
"duration": -1,
"usages": [
@ -276155,7 +276155,7 @@
"第七单元"
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"genre": "填空题",
"ans": "",
"ans": "$\\pm 4\\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -276189,7 +276189,7 @@
"第二单元"
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"genre": "填空题",
"ans": "",
"ans": "$[-5,3]$",
"solution": "",
"duration": -1,
"usages": [
@ -276222,7 +276222,7 @@
"第二单元"
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"genre": "填空题",
"ans": "",
"ans": "$\\pi$",
"solution": "",
"duration": -1,
"usages": [
@ -276256,7 +276256,7 @@
"第七单元"
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"genre": "填空题",
"ans": "",
"ans": "$8$",
"solution": "",
"duration": -1,
"usages": [
@ -276290,7 +276290,7 @@
"第二单元"
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"genre": "填空题",
"ans": "",
"ans": "$(\\dfrac 32,2)$",
"solution": "",
"duration": -1,
"usages": [
@ -276345,7 +276345,7 @@
"第二单元"
],
"genre": "填空题",
"ans": "",
"ans": "$[-2,6)$",
"solution": "",
"duration": -1,
"usages": [
@ -276377,7 +276377,7 @@
"第一单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [
@ -276409,7 +276409,7 @@
"第五单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [
@ -276441,7 +276441,7 @@
"第四单元"
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"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [
@ -276474,7 +276474,7 @@
"第七单元"
],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [
@ -276506,7 +276506,7 @@
"第六单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 证明略; (2) $\\arctan \\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -276538,7 +276538,7 @@
"第二单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{24\\sqrt{3}-32}{25}$; (2) 单调递增区间为$[-\\dfrac\\pi 6,\\dfrac\\pi 6]$, 值域为$[-2,1]$",
"solution": "",
"duration": -1,
"usages": [
@ -276570,7 +276570,7 @@
"第四单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 证明略; (2) $(q,r)=(3,5)$",
"solution": "",
"duration": -1,
"usages": [
@ -276602,7 +276602,7 @@
"第七单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\arccos\\dfrac 17$; (2) $\\dfrac{x^2}{27/8}-\\dfrac{y^2}{27/5}=1$; (3) 恒经过两个定点$(-\\dfrac 12,0)$与$(\\dfrac 52,0)$",
"solution": "",
"duration": -1,
"usages": [
@ -308433,7 +308433,7 @@
"第六单元"
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"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\sqrt{3}}4R^2$",
"solution": "",
"duration": -1,
"usages": [
@ -318866,7 +318866,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "\\textcircled{1}\\textcircled{3}",
"solution": "",
"duration": -1,
"usages": [
@ -318955,7 +318955,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{\\sqrt{3}}2$; (2) 投影为$(-\\dfrac 12,0,0)$, 数量投影为$-\\dfrac 12$",
"solution": "",
"duration": -1,
"usages": [
@ -319150,7 +319150,7 @@
"空间向量"
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"genre": "填空题",
"ans": "",
"ans": "$\\dfrac 18$",
"solution": "",
"duration": -1,
"usages": [
@ -319315,7 +319315,7 @@
"空间向量"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{11}8$",
"solution": "",
"duration": -1,
"usages": [
@ -319637,7 +319637,7 @@
"空间向量"
],
"genre": "解答题",
"ans": "",
"ans": "$(1,0,\\sqrt{2})$或$(1,0,-\\sqrt{2})$",
"solution": "",
"duration": -1,
"usages": [