20221210 night
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 5,
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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"0"
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]
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},
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"execution_count": 5,
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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}
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"\n",
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"\"\"\"---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---\"\"\"\n",
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"keywords_dict_table = [\n",
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" {\"tags\":[\"概率\"]}\n",
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" {\"origin\":[\"春季高考\",\"松江区\",\"崇明区\"]}\n",
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"]\n",
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"\"\"\"---关键字设置完毕---\"\"\"\n",
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"# 示例： keywords_dict_table = [\n",
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.15 ('mathdept')",
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"display_name": "mathdept",
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"language": "python",
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"name": "python3"
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},
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.15"
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"version": "3.9.15"
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},
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
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"hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
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}
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}
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},
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 2,
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"首个空闲id: 12308 , 直至 020000\n",
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"首个空闲id: 12329 , 直至 020000\n",
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"首个空闲id: 20227 , 直至 030000\n",
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"首个空闲id: 30496 , 直至 999999\n"
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]
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.8 ('base')",
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"display_name": "base",
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"language": "python",
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"name": "python3"
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},
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.8"
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"version": "3.9.13"
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},
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
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"hash": "ad2bdc8ecc057115af97d19610ffacc2b4e99fae6737bb82f5d7fb13d2f2c186"
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}
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}
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},
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@ -2,36 +2,55 @@
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 4,
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"execution_count": 1,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"题号: 009876 , 字段: ans 中已修改数据: (1) $27$; (2) $86$; (3) $13$\n",
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"题号: 030075 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{3}}4R^2$\n",
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"题号: 004596 , 字段: ans 中已修改数据: $-\\dfrac 13$, $\\dfrac{13}6$\n",
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"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",
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"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",
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"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",
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"题号: 004600 , 字段: ans 中已修改数据: $\\dfrac{5}{9}$, $\\dfrac{5}{36}$\n",
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"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",
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"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",
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"题号: 004603 , 字段: ans 中已修改数据: $\\dfrac 2{27}$\n",
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"题号: 004604 , 字段: ans 中已修改数据: $6$\n",
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"题号: 004605 , 字段: ans 中已修改数据: $\\dfrac{20}{243}$\n",
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"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",
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"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",
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"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",
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"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",
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"题号: 004612 , 字段: ans 中已修改数据: $\\dfrac {43}{138}$\n",
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"题号: 004613 , 字段: ans 中已修改数据: $\\dfrac{56}{165}$\n",
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"题号: 004614 , 字段: ans 中已修改数据: $0.042$\n",
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"题号: 004615 , 字段: ans 中已修改数据: (1) $0.191$; (2) $\\dfrac 53$\n",
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"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",
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"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",
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"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"
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"题号: 012287 , 字段: ans 中已修改数据: $\\{-1,0,1\\}$\n",
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"题号: 012288 , 字段: ans 中已修改数据: $\\pi$\n",
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"题号: 012289 , 字段: ans 中已修改数据: $3+4\\mathrm{i}$\n",
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"题号: 012290 , 字段: ans 中已修改数据: $2$\n",
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"题号: 012291 , 字段: ans 中已修改数据: $1$\n",
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"题号: 012292 , 字段: ans 中已修改数据: $16\\pi$\n",
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"题号: 012293 , 字段: ans 中已修改数据: $(-\\dfrac 15,\\dfrac 25)$\n",
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"题号: 012294 , 字段: ans 中已修改数据: $[-1,\\dfrac 12]$\n",
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"题号: 012295 , 字段: ans 中已修改数据: $(4,5]$\n",
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"题号: 012296 , 字段: ans 中已修改数据: $y=\\pm 2\\sqrt{2} x$\n",
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"题号: 012297 , 字段: ans 中已修改数据: $\\dfrac{5\\sqrt{3}}6\\pi$\n",
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"题号: 012298 , 字段: ans 中已修改数据: $(0,2)$, $-6$\n",
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"题号: 012299 , 字段: ans 中已修改数据: B\n",
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"题号: 012300 , 字段: ans 中已修改数据: C\n",
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"题号: 012301 , 字段: ans 中已修改数据: A\n",
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"题号: 012302 , 字段: ans 中已修改数据: A\n",
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"题号: 012303 , 字段: ans 中已修改数据: (1) 证明略; (2) $\\arccos \\dfrac{\\sqrt{5}}3$\n",
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"题号: 012304 , 字段: ans 中已修改数据: (1) $\\dfrac\\pi 3$; (2) $2\\sqrt{3}+2$\n",
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"题号: 012305 , 字段: ans 中已修改数据: (1) $120$米; (2) $20$米时, 总造价最低\n",
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"题号: 012306 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}3+y^2=1$; (2) $\\dfrac 12$; (3) $2$\n",
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"题号: 012307 , 字段: ans 中已修改数据: (1) $f(x)=\\mathrm{e}^{x+1}$; (2) $g(n)=\\begin{cases}\\dfrac{3n-1}{2}, & n\\text{为奇数},\\\\ \\dfrac{3n-2}{2}, & n\\text{为偶数};\\end{cases}$ (3) 存在``阈度'', 取值范围为$[\\dfrac{\\mathrm{e}^4+1}{\\mathrm{e}^4-\\mathrm{e}},+\\infty)$\n",
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"题号: 012308 , 字段: ans 中已修改数据: $\\{2,3,4\\}$\n",
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"题号: 012309 , 字段: ans 中已修改数据: $(-\\dfrac 12,2)$\n",
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"题号: 012310 , 字段: ans 中已修改数据: $6$\n",
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"题号: 012311 , 字段: ans 中已修改数据: $2$\n",
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"题号: 012312 , 字段: ans 中已修改数据: $-8$\n",
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"题号: 012313 , 字段: ans 中已修改数据: $-4$\n",
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"题号: 012314 , 字段: ans 中已修改数据: $\\dfrac 12$\n",
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"题号: 012315 , 字段: ans 中已修改数据: $\\sqrt{3}$\n",
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"题号: 012316 , 字段: ans 中已修改数据: $y=2x-1$\n",
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"题号: 012317 , 字段: ans 中已修改数据: $2$\n",
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"题号: 012318 , 字段: ans 中已修改数据: $[-4,12]$\n",
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"题号: 012319 , 字段: ans 中已修改数据: $2+\\sqrt{3}$\n",
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"题号: 012320 , 字段: ans 中已修改数据: D\n",
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"题号: 012321 , 字段: ans 中已修改数据: A\n",
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"题号: 012322 , 字段: ans 中已修改数据: B\n",
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"题号: 012323 , 字段: ans 中已修改数据: A\n",
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"题号: 012324 , 字段: ans 中已修改数据: (1) $\\dfrac 43$; (2) $\\arccos \\dfrac{\\sqrt{6}}6$\n",
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"题号: 012325 , 字段: ans 中已修改数据: (1) $[k\\pi-\\dfrac{3\\pi}8,k\\pi+\\dfrac\\pi 8]$($k\\in \\mathbf{Z}$); (2) $[-\\dfrac{\\sqrt{2}}2,\\dfrac{\\sqrt{2}}2]$\n",
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"题号: 012326 , 字段: ans 中已修改数据: (1) $y=-0.02x^2+100$($0\\le x\\le 50$); (2) $f(x)=\\begin{cases}x(-0.02x^2+100), & 30\\le x\\le 50, \\\\ x(-x+100), & 50<x\\le 70;\\end{cases}$ (3) 当点$D$在曲线段$BC$上且其到$OA$的距离约为$66.7$米时, 游乐场的面积$S$最大\n",
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"题号: 012327 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}{\\frac{1+\\sqrt{5}}2}+y^2=1$; (2) $\\dfrac{4+2\\sqrt{3}}5$; (3) 相切, 证明略\n",
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"题号: 012328 , 字段: ans 中已修改数据: (1) $[4,+\\infty)$; (2) 证明略; (3) $4$或$5$\n"
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]
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}
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],
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@ -129,7 +148,7 @@
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 3.8.15 ('mathdept')",
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"display_name": "base",
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"language": "python",
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"name": "python3"
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},
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@ -143,12 +162,12 @@
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython3",
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"version": "3.8.15"
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"version": "3.8.8"
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},
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"orig_nbformat": 4,
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"vscode": {
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"interpreter": {
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"hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
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"hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
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}
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}
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},
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ans
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012287
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$\{-1,0,1\}$
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9876
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(1) $27$; (2) $86$; (3) $13$
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012288
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$\pi$
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030075
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$\dfrac{\sqrt{3}}4R^2$
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012289
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$3+4\mathrm{i}$
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004596
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$-\dfrac 13$, $\dfrac{13}6$
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012290
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$2$
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004597
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(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$2$
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012291
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$1$
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004598
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(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
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012292
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$16\pi$
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004599
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(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
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012293
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$(-\dfrac 15,\dfrac 25)$
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004600
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$\dfrac{5}{9}$, $\dfrac{5}{36}$
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012294
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$[-1,\dfrac 12]$
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004601
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(1) $\dfrac 35$; (2) 分布列为$\begin{pmatrix} 0 & 1 & 2 \\ \dfrac 25 & \dfrac 25 & \dfrac 15\end{pmatrix}$, $E[X]=\dfrac 45$, $D[X]=\dfrac{14}{25}$
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012295
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$(4,5]$
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004602
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(1) $\dfrac 5{12}$; (2) 分布列为$\begin{pmatrix} 0 & 40 & 80 & 120 & 160 \\ \dfrac 1{24} & \dfrac 14 & \dfrac 5{12} & \dfrac 14 & \dfrac 1{24}\end{pmatrix}$, $E[X]=80$, $D[X]=\dfrac{4000}3$
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012296
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$y=\pm 2\sqrt{2} x$
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012297
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$\dfrac{5\sqrt{3}}6\pi$
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004603
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$\dfrac 2{27}$
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012298
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$(0,2)$, $-6$
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004604
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012299
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B
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012300
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C
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012301
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A
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012302
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A
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012303
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(1) 证明略; (2) $\arccos \dfrac{\sqrt{5}}3$
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012304
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(1) $\dfrac\pi 3$; (2) $2\sqrt{3}+2$
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012305
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(1) $120$米; (2) $20$米时, 总造价最低
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012306
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(1) $\dfrac{x^2}3+y^2=1$; (2) $\dfrac 12$; (3) $2$
|
||||
|
||||
012307
|
||||
(1) $f(x)=\mathrm{e}^{x+1}$; (2) $g(n)=\begin{cases}\dfrac{3n-1}{2}, & n\text{为奇数},\\ \dfrac{3n-2}{2}, & n\text{为偶数};\end{cases}$ (3) 存在``阈度'', 取值范围为$[\dfrac{\mathrm{e}^4+1}{\mathrm{e}^4-\mathrm{e}},+\infty)$
|
||||
|
||||
012308
|
||||
$\{2,3,4\}$
|
||||
|
||||
012309
|
||||
$(-\dfrac 12,2)$
|
||||
|
||||
012310
|
||||
$6$
|
||||
|
||||
004605
|
||||
$\dfrac{20}{243}$
|
||||
012311
|
||||
$2$
|
||||
|
||||
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
|
||||
012312
|
||||
$-8$
|
||||
|
||||
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
|
||||
012313
|
||||
$-4$
|
||||
|
||||
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$\begin{pmatrix}0 & 1 & 2 & 3 & 4 \\ \dfrac 1{16} & \dfrac 14 & \dfrac 38 & \dfrac 14 & \dfrac 1{16}\end{pmatrix}$, $E[X]=2$
|
||||
012314
|
||||
$\dfrac 12$
|
||||
|
||||
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
|
||||
012315
|
||||
$\sqrt{3}$
|
||||
|
||||
004612
|
||||
$\dfrac {43}{138}$
|
||||
012316
|
||||
$y=2x-1$
|
||||
|
||||
004613
|
||||
$\dfrac{56}{165}$
|
||||
012317
|
||||
$2$
|
||||
|
||||
004614
|
||||
$0.042$
|
||||
012318
|
||||
$[-4,12]$
|
||||
|
||||
004615
|
||||
(1) $0.191$; (2) $\dfrac 53$
|
||||
012319
|
||||
$2+\sqrt{3}$
|
||||
|
||||
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
|
||||
012320
|
||||
D
|
||||
|
||||
004617
|
||||
(1) $(a,b,c)=(9,6,6)$; (2) $\begin{pmatrix}0 & 1 & 2 \\ \dfrac 17 & \dfrac 47 & \dfrac 27\end{pmatrix}$
|
||||
012321
|
||||
A
|
||||
|
||||
004618
|
||||
(1) 约$400$名; (2) $0.49$; (3) 分布列为$\begin{pmatrix}0 & 1 & 2 & 3 \\ \dfrac 1{20} & \dfrac 9{20} & \dfrac 9{20} & \dfrac 1{20}\end{pmatrix}$, $E[X]=\dfrac 32$
|
||||
012322
|
||||
B
|
||||
|
||||
012323
|
||||
A
|
||||
|
||||
012324
|
||||
(1) $\dfrac 43$; (2) $\arccos \dfrac{\sqrt{6}}6$
|
||||
|
||||
012325
|
||||
(1) $[k\pi-\dfrac{3\pi}8,k\pi+\dfrac\pi 8]$($k\in \mathbf{Z}$); (2) $[-\dfrac{\sqrt{2}}2,\dfrac{\sqrt{2}}2]$
|
||||
|
||||
012326
|
||||
(1) $y=-0.02x^2+100$($0\le x\le 50$); (2) $f(x)=\begin{cases}x(-0.02x^2+100), & 30\le x\le 50, \\ x(-x+100), & 50<x\le 70;\end{cases}$ (3) 当点$D$在曲线段$BC$上且其到$OA$的距离约为$66.7$米时, 游乐场的面积$S$最大
|
||||
|
||||
012327
|
||||
(1) $\dfrac{x^2}{\frac{1+\sqrt{5}}2}+y^2=1$; (2) $\dfrac{4+2\sqrt{3}}5$; (3) 相切, 证明略
|
||||
|
||||
012328
|
||||
(1) $[4,+\infty)$; (2) 证明略; (3) $4$或$5$
|
||||
|
|
|
|||
|
|
@ -1 +1 @@
|
|||
000218,000219,000220,000221,000222,000223,000224,000225,000226,000227,000228,000229,000230,000231,000332,000384,000391,000512,000564,000581,000601,000611,000624,000659,000672,000685,000695,000704,000714,000744,000765,000773,000779,000812,000829,000844,000889,000969,002640,002641,002642,002643,002644,002645,002646,002647,002648,002649,002650,002651,002652,002653,002654,002655,002656,002657,002658,002659,002660,002661,002662,002663,002664,002665,003574,003575,003585,003586,003598,003640,003660,003727,003734,003751,003787,003806,003825,003873,003887,003914,003947,003979,003983,003998,004031,004032,004033,004034,004035,004036,004037,004038,004039,004040,004041,004042,004043,004044,004045,004046,004087,004110,004150,004193,004212,004232,004257,004297,004324,004341,004535,004572,004573,004574,004575,004576,004577,004578,004579,004580,004581,004582,004583,004584,004585,004586,004587,004588,004589,004590,004591,004592,004593,004594,004595,004596,004597,004598,004599,004600,004601,004602,004603,004604,004605,004606,004607,004608,004609,004610,004611,004612,004613,004614,004615,004616,004617,004618,004647,004712,004750,009345,009346,009347,009348,009349,009350,009351,009352,009353,009354,009355,009356,009357,009359,009360,009361,009362,009363,009364,009365,009366,009391,009409,009410,009423,009425,009733,009734,009735,009736,009737,009738,009739,009740,009741,009742,009743,009744,009745,009746,009747,009748,009749,009750,009751,009752,009753,009754,009755,009943,009944,009949,009950,009951,009952,009953,009954,009955,009956,009957,009958,009959,009960,009961,009962,009963,009964,009965,009966,009967,009968,009969,009992,010005,010006,010007,010008,010009,010010,010011,010012,010013,010014,010015,010016,010534,010535,010536,010537,010538,010539,010540,010541,010542,010543,010544,010545,010546,010547,010548,010549,010550,010551,010552,010553,010554,010555,010556,010557,010558,010559,010560,010870,010871,010872,010873,010874,010884,010885,010886,010887,010888,010889,010890,010891,010892,010893,010894,010895,010896,010897,010898,010899,010900,010901,010902,010903,010950,011053,011117,011141,011250,011289,011312,011351,011354,011376,011397,011439,011480,011523,011583,011586,011609,011612,011634,011640,011654,011679,011682,012036,012046,030170,030171,030172,030173,030174,030175,030176,030177,030178,030179,030180,030181,030182,030183,030184,030185,030186,030187,030188,030189,030190,030191,030192,030193,030194,030276,030277,030433
|
||||
012138,012139,012140,012141,012142,012143,012144,012145,012146,012147,012148,012149,012150,012151,012152,012153,012154,012155,012156,012157,012158,012159,012160,012161,012162,012163,012164,012165,012166,012167,012168,012169,012170,012171,012172,012173,012174,012175,012176,012177,012178,012179,012180,012181,012182,012183,012184,012185,012186,012187,012188,012189,012190,012191,012192,012193,012194,012195,012196,012197,012198,012199,012200,012201,012202,012203,012204,012205,012206,012207,012208,012209,012210,012211,012212,012213,012214,012215,012216,012217,012218,012219,012220,012221,012222,012223,012224,012225,012226,012227,012228,012229,012230,012231,012232,012233,012234,012235,012236,012237,012238,012239,012240,012241,012242,012243,012244,012245,012246,012247,012248,012249,012250,012251,012252,012253,012254,012255,012256,012257,012258,012259,012260,012261,012262,012263,012264,012265,012266,012267,012268,012269,012270,012271,012272,012273,012274,012275,012276,012277,012278,012279,012280,012281,012282,012283,012284,012285,012286,012287,012288,012289,012290,012291,012292,012293,012294,012295,012296,012297,012298,012299,012300,012301,012302,012303,012304,012305,012306,012307,012308,012309,012310,012311,012312,012313,012314,012315,012316,012317,012318,012319,012320,012321,012322,012323,012324,012325,012326,012327,012328
|
||||
Binary file not shown.
|
|
@ -59,7 +59,8 @@ A.~#1 &B.~#2& C.~#3& D.~#4
|
|||
|
||||
\begin{document}
|
||||
\begin{center}
|
||||
{\bf\large 高三上学期\papername}
|
||||
% {\bf\large 高三上学期\papername}
|
||||
{\bf\large \papername}
|
||||
\end{center}
|
||||
|
||||
|
||||
|
|
|
|||
Binary file not shown.
|
|
@ -2,15 +2,33 @@
|
|||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"execution_count": 1,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"旧题目数: 12858 , 新题目数: 191\n",
|
||||
"开始新题与旧题的比对\n",
|
||||
"50\n",
|
||||
"100\n",
|
||||
"150\n",
|
||||
"开始新题之间的比对\n",
|
||||
"50\n",
|
||||
"100\n",
|
||||
"150\n",
|
||||
"总耗时: 79.84281706809998 秒.\n",
|
||||
"发现相似: 252 , 其中已标注: 0 .\n"
|
||||
]
|
||||
}
|
||||
],
|
||||
"source": [
|
||||
"from hashlib import new\n",
|
||||
"import os,re,difflib,Levenshtein,time,json\n",
|
||||
"\n",
|
||||
"# 重要!!! 新题目的范围\n",
|
||||
"id_new_problems = \"20000:20010\"\n",
|
||||
"id_new_problems = \"12138:12328\"\n",
|
||||
"threshold = 0.85\n",
|
||||
"\n",
|
||||
"#生成数码列表, 逗号分隔每个区块, 区块内部用:表示整数闭区间\n",
|
||||
|
|
@ -123,11 +141,18 @@
|
|||
"with open(\"临时文件/相似题目.txt\",\"w\",encoding=\"utf8\") as f:\n",
|
||||
" f.write(alike_problems)\n"
|
||||
]
|
||||
},
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": null,
|
||||
"metadata": {},
|
||||
"outputs": [],
|
||||
"source": []
|
||||
}
|
||||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3.8.8 ('base')",
|
||||
"display_name": "mathdept",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
|
|
@ -141,12 +166,12 @@
|
|||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.8.8"
|
||||
"version": "3.9.15"
|
||||
},
|
||||
"orig_nbformat": 4,
|
||||
"vscode": {
|
||||
"interpreter": {
|
||||
"hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
|
||||
"hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
|
||||
}
|
||||
}
|
||||
},
|
||||
|
|
|
|||
|
|
@ -2,7 +2,7 @@
|
|||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 3,
|
||||
"execution_count": 8,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
|
|
@ -15,9 +15,9 @@
|
|||
"题块 2 处理完毕.\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/2021届杨浦区一模_教师_20221207.tex\n",
|
||||
"开始编译教师版本pdf文件: 临时文件/2023届崇明区一模_教师_20221210.tex\n",
|
||||
"0\n",
|
||||
"开始编译学生版本pdf文件: 临时文件/2021届杨浦区一模_学生_20221207.tex\n",
|
||||
"开始编译学生版本pdf文件: 临时文件/2023届崇明区一模_学生_20221210.tex\n",
|
||||
"0\n"
|
||||
]
|
||||
}
|
||||
|
|
@ -41,7 +41,7 @@
|
|||
"# enumi_mode = 0\n",
|
||||
"\n",
|
||||
"#2023届测验卷与周末卷\n",
|
||||
"exec_list = [(\"标题替换\",\"2021届杨浦区一模\")]\n",
|
||||
"exec_list = [(\"标题替换\",\"2023届崇明区一模\")]\n",
|
||||
"enumi_mode = 1\n",
|
||||
"\n",
|
||||
"# 日常选题讲义\n",
|
||||
|
|
@ -51,15 +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/2021届杨浦区一模\"\n",
|
||||
"destination_file = \"临时文件/2023届崇明区一模\"\n",
|
||||
"\"\"\"---设置目标文件名结束---\"\"\"\n",
|
||||
"\n",
|
||||
"\n",
|
||||
"\"\"\"---设置题号数据---\"\"\"\n",
|
||||
"problems = [\n",
|
||||
"\"12117:12128\",\n",
|
||||
"\"12129:12132\",\n",
|
||||
"\"12133:12137\"\n",
|
||||
"\"12308:12319\",\n",
|
||||
"\"12320:12323\",\n",
|
||||
"\"12324:12328\"\n",
|
||||
"\n",
|
||||
"]\n",
|
||||
"\"\"\"---设置题号数据结束---\"\"\"\n",
|
||||
|
|
@ -211,7 +211,7 @@
|
|||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3.9.7 ('base')",
|
||||
"display_name": "base",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
|
|
@ -225,12 +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"
|
||||
}
|
||||
}
|
||||
},
|
||||
|
|
|
|||
|
|
@ -2,16 +2,16 @@
|
|||
"cells": [
|
||||
{
|
||||
"cell_type": "code",
|
||||
"execution_count": 4,
|
||||
"execution_count": 1,
|
||||
"metadata": {},
|
||||
"outputs": [
|
||||
{
|
||||
"name": "stdout",
|
||||
"output_type": "stream",
|
||||
"text": [
|
||||
"开始编译教师版本pdf文件: 临时文件/临时_教师用_20221209.tex\n",
|
||||
"开始编译教师版本pdf文件: 临时文件/题库_教师用_20221210.tex\n",
|
||||
"0\n",
|
||||
"开始编译学生版本pdf文件: 临时文件/临时_学生用_20221209.tex\n",
|
||||
"开始编译学生版本pdf文件: 临时文件/题库_学生用_20221210.tex\n",
|
||||
"0\n"
|
||||
]
|
||||
}
|
||||
|
|
@ -26,7 +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",
|
||||
"\"\"\"\n",
|
||||
|
|
@ -34,7 +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/临时\"\n",
|
||||
"filename = \"临时文件/题库\"\n",
|
||||
"\"\"\"---设置文件名结束---\"\"\"\n",
|
||||
"\n",
|
||||
"\n",
|
||||
|
|
@ -175,7 +175,7 @@
|
|||
],
|
||||
"metadata": {
|
||||
"kernelspec": {
|
||||
"display_name": "Python 3.8.15 ('mathdept')",
|
||||
"display_name": "mathdept",
|
||||
"language": "python",
|
||||
"name": "python3"
|
||||
},
|
||||
|
|
@ -189,12 +189,12 @@
|
|||
"name": "python",
|
||||
"nbconvert_exporter": "python",
|
||||
"pygments_lexer": "ipython3",
|
||||
"version": "3.8.15"
|
||||
"version": "3.9.15"
|
||||
},
|
||||
"orig_nbformat": 4,
|
||||
"vscode": {
|
||||
"interpreter": {
|
||||
"hash": "42dd566da87765ddbe9b5c5b483063747fec4aacc5469ad554706e4b742e67b2"
|
||||
"hash": "ff3c292c316ba85de6f1ad75f19c731e79d694e741b6f515ec18f14996fe48dc"
|
||||
}
|
||||
}
|
||||
},
|
||||
|
|
|
|||
|
|
@ -303033,7 +303033,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\{-1,0,1\\}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303052,7 +303052,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303071,7 +303071,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$3+4\\mathrm{i}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303090,7 +303090,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303109,7 +303109,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$1$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303128,7 +303128,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$16\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303147,7 +303147,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(-\\dfrac 15,\\dfrac 25)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303166,7 +303166,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$[-1,\\dfrac 12]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303185,7 +303185,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(4,5]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303204,7 +303204,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$y=\\pm 2\\sqrt{2} x$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303223,7 +303223,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{5\\sqrt{3}}6\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303242,7 +303242,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(0,2)$, $-6$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303261,7 +303261,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "B",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303280,7 +303280,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "C",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303299,7 +303299,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303318,7 +303318,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303337,7 +303337,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 证明略; (2) $\\arccos \\dfrac{\\sqrt{5}}3$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303356,7 +303356,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\dfrac\\pi 3$; (2) $2\\sqrt{3}+2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303375,7 +303375,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $120$米; (2) $20$米时, 总造价最低",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303394,7 +303394,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\dfrac{x^2}3+y^2=1$; (2) $\\dfrac 12$; (3) $2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303413,7 +303413,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $f(x)=\\mathrm{e}^{x+1}$; (2) $g(n)=\\begin{cases}\\dfrac{3n-1}{2}, & n\\text{为奇数},\\\\ \\dfrac{3n-2}{2}, & n\\text{为偶数};\\end{cases}$ (3) 存在``阈度'', 取值范围为$[\\dfrac{\\mathrm{e}^4+1}{\\mathrm{e}^4-\\mathrm{e}},+\\infty)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303432,7 +303432,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\{2,3,4\\}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303451,7 +303451,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(-\\dfrac 12,2)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303470,7 +303470,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$6$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303489,7 +303489,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303508,7 +303508,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$-8$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303527,7 +303527,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$-4$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303546,7 +303546,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac 12$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303565,7 +303565,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\sqrt{3}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303584,7 +303584,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$y=2x-1$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303603,7 +303603,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303622,7 +303622,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$[-4,12]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303641,7 +303641,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$2+\\sqrt{3}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303660,7 +303660,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "D",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303679,7 +303679,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303698,7 +303698,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "B",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303717,7 +303717,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303736,7 +303736,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\dfrac 43$; (2) $\\arccos \\dfrac{\\sqrt{6}}6$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303755,7 +303755,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $[k\\pi-\\dfrac{3\\pi}8,k\\pi+\\dfrac\\pi 8]$($k\\in \\mathbf{Z}$); (2) $[-\\dfrac{\\sqrt{2}}2,\\dfrac{\\sqrt{2}}2]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303774,7 +303774,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $y=-0.02x^2+100$($0\\le x\\le 50$); (2) $f(x)=\\begin{cases}x(-0.02x^2+100), & 30\\le x\\le 50, \\\\ x(-x+100), & 50<x\\le 70;\\end{cases}$ (3) 当点$D$在曲线段$BC$上且其到$OA$的距离约为$66.7$米时, 游乐场的面积$S$最大",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303793,7 +303793,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\dfrac{x^2}{\\frac{1+\\sqrt{5}}2}+y^2=1$; (2) $\\dfrac{4+2\\sqrt{3}}5$; (3) 相切, 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -303812,7 +303812,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $[4,+\\infty)$; (2) 证明略; (3) $4$或$5$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
|
|||
Reference in New Issue