20221115 evening

This commit is contained in:
Wang Weiye 2022-11-15 19:51:14 +08:00
parent 2b452a9684
commit e4e60635f5
6 changed files with 2069 additions and 2395 deletions

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@ -2,7 +2,7 @@
"cells": [
{
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"execution_count": 9,
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
@ -74,11 +74,18 @@
"zf.close()\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.8 ('base')",
"display_name": "Python 3.9.7 ('base')",
"language": "python",
"name": "python3"
},
@ -92,12 +99,12 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
"version": "3.9.7"
},
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"vscode": {
"interpreter": {
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"hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
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},

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@ -2,497 +2,128 @@
"cells": [
{
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"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
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"text": [
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"题号: 006892 , 字段: usages 中已添加数据: 20221115\t2023届高三08班\t0.966\n",
"题号: 003216 , 字段: usages 中已添加数据: 20221115\t2023届高三08班\t0.241\n",
"题号: 001783 , 字段: usages 中已添加数据: 20221115\t2023届高三08班\t0.897\t0.241\n",
"题号: 003225 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.920\n",
"题号: 009876 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t1.000\t0.960\t0.880\n",
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"题号: 001767 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.960\n",
"题号: 001789 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.760\n",
"题号: 008417 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t1.000\n",
"题号: 001785 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.920\n",
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"题号: 000312 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.800\n",
"题号: 003238 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.840\n",
"题号: 030473 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.440\n",
"题号: 001771 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.760\n",
"题号: 003244 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t1.000\t1.000\n",
"题号: 003243 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.920\n",
"题号: 003253 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.840\n",
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"题号: 006793 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.800\n",
"题号: 008456 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.360\n",
"题号: 009887 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.760\n",
"题号: 001839 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t1.000\t0.160\n",
"题号: 006892 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.920\n",
"题号: 003216 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.120\n",
"题号: 001783 , 字段: usages 中已添加数据: 20221115\t2023届高三09班\t0.920\t0.080\n"
]
}
],
@ -590,7 +221,7 @@
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.8 ('base')",
"display_name": "Python 3.9.7 ('base')",
"language": "python",
"name": "python3"
},
@ -604,12 +235,12 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.8"
"version": "3.9.7"
},
"orig_nbformat": 4,
"vscode": {
"interpreter": {
"hash": "d311ffef239beb3b8f3764271728f3972d7b090c974f8e972fcdeedf230299ac"
"hash": "e4cce46d6be9934fbd27f9ca0432556941ea5bdf741d4f4d64c6cd7f8dfa8fba"
}
}
},

File diff suppressed because it is too large Load Diff

File diff suppressed because it is too large Load Diff

View File

@ -2,7 +2,7 @@
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"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/基础考_教师_20221112.tex\n",
"开始编译教师版本pdf文件: 临时文件/周末卷09_教师_20221115.tex\n",
"0\n",
"开始编译学生版本pdf文件: 临时文件/基础考_学生_20221112.tex\n",
"开始编译学生版本pdf文件: 临时文件/周末卷09_学生_20221115.tex\n",
"0\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/基础考\"\n",
"destination_file = \"临时文件/周末卷09\"\n",
"\"\"\"---设置目标文件名结束---\"\"\"\n",
"\n",
"\n",
"\"\"\"---设置题号数据---\"\"\"\n",
"problems = [\n",
"\"12033:12044\",\n",
"\"12045:12048\",\n",
"\"12049:12053\"\n",
"\"11049:11060\",\n",
"\"11061:11064\",\n",
"\"11065:11069\"\n",
"\n",
"]\n",
"\"\"\"---设置题号数据结束---\"\"\"\n",

View File

@ -8085,7 +8085,16 @@
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
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"20221115\t2023届高三03班\t0.913",
"20221115\t2023届高三06班\t0.162",
"20221115\t2023届高三12班\t0.950",
"20221115\t2023届高三02班\t0.800",
"20221115\t2023届高三05班\t1.000",
"20221115\t2023届高三08班\t0.828",
"20221115\t2023届高三09班\t0.800"
],
"origin": "教材复习题",
"edit": [
"20220624\t王伟叶, 余利成"
@ -8308,7 +8317,16 @@
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
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"20221115\t2023届高三08班\t0.724",
"20221115\t2023届高三09班\t0.480"
],
"origin": "教材复习题",
"edit": [
"20220624\t王伟叶, 余利成"
@ -46555,7 +46573,15 @@
"duration": -1,
"usages": [
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@ -84550,7 +84632,16 @@
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@ -84763,7 +84854,16 @@
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@ -85184,7 +85293,16 @@
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"20220701\t王伟叶"
@ -85207,7 +85325,16 @@
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"solution": "",
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@ -85416,7 +85543,16 @@
"ans": "D",
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"edit": [
"20220701\t王伟叶",
@ -115730,7 +115866,7 @@
},
"004472": {
"id": "004472",
"content": "数列$\\{a_n\\}$的通项公式是$a_n=(\\dfrac 23)^n$, $n\\in \\mathbf{N}^*$, 则数列$\\{a_n\\}$所有项的和为\\blank{50}.",
"content": "无穷数列$\\{a_n\\}$的通项公式是$a_n=(\\dfrac 23)^n$, $n\\in \\mathbf{N}$, $n\\ge 1$ 则数列$\\{a_n\\}$所有项的和为\\blank{50}.",
"objs": [
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],
@ -115881,7 +116017,7 @@
},
"004478": {
"id": "004478",
"content": "如果一个数列由有限个连续的正整数组成(数列的项数大于$2$), 且所有项之和为$N$, 那么称该数列为$N$型标准数列, 例如, 数列$2, 3, 4, 5, 6$为$20$型标准数列, 则$2668$型标准数列的个数为\\blank{50}.",
"content": "如果一个递增数列由有限个连续的正整数组成(数列的项数大于$2$), 且所有项之和为$N$, 那么称该数列为$N$型标准数列, 例如, 数列$2, 3, 4, 5, 6$为$20$型标准数列, 则$2668$型标准数列的个数为\\blank{50}.",
"objs": [],
"tags": [
"第八单元"
@ -170465,7 +170601,16 @@
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"origin": "代数精编第七章数列",
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"20220720\t王伟叶"
@ -172784,7 +172929,16 @@
"ans": "C",
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"20220720\t王伟叶",
@ -207501,7 +207655,16 @@
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"origin": "二期课改练习册高二第一学期",
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"20220726\t王伟叶"
@ -208440,7 +208603,16 @@
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"origin": "二期课改练习册高二第一学期",
"edit": [
"20220726\t王伟叶"
@ -240635,7 +240807,16 @@
"ans": "",
"solution": "",
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"origin": "新教材选择性必修第一册课堂练习",
"edit": [
"20220730\t王伟叶"
@ -240901,7 +241082,16 @@
"ans": "",
"solution": "",
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"edit": [
"20220730\t王伟叶"
@ -241349,7 +241539,18 @@
"ans": "(1) $2\\pi$; (2) $2\\pi$",
"solution": "",
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"edit": [
"20220730\t王伟叶"
@ -262128,7 +262329,18 @@
"ans": "$f(1)=1$, $f'(1)=4$",
"solution": "",
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"edit": [
"20220806\t王伟叶"
@ -262491,7 +262703,18 @@
"ans": "(1) 不是, 导数$\\dfrac 1x$不会等于$-1$; (2) $b=2$或$-2$",
"solution": "",
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"origin": "新教材选择性必修第二册习题",
"edit": [
"20220806\t王伟叶"
@ -262612,7 +262835,18 @@
"ans": "(1) $f'(x)=2x\\sin 3x+3x^2\\cos 3x+\\dfrac 1{\\sqrt{x^3}}$; (2) $f'(x)=\\dfrac{4}{\\mathrm{e}^{2x}+\\mathrm{e}^{-2x}+2}$",
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"content": "已知$F_1$、$F_2$分别为椭圆$\\Gamma :\\dfrac{x^2}4+y^2=1$的左、右焦点, $M$为$\\Gamma$上的一点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\r{0.75}\n\\draw [->] (-2.5,0) -- (2.5,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [name path = ellipse] (0,0) ellipse (2 and 1);\n\\filldraw ({2*cos(75)},{sin(75)}) circle (0.03) node [above] {$M$} coordinate (M);\n\\draw (M) circle (\\r);\n\\draw [name path = tangent1] ($(O)!2.2!{-asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name path = tangent2] ($(O)!1.5!{asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name intersections = {of = tangent1 and ellipse, by = P}];\n\\draw [name intersections = {of = tangent2 and ellipse, by = Q}];\n\\draw (P) node [above] {$P$};\n\\draw (Q) node [below left] {$Q$};\n\\end{tikzpicture}\n\\end{center}\n(1) 若点$M$的坐标为$(1,m)$($m>0$), 求$\\triangle F_1MF_2$的面积;\\\\\n(2) 若点$M$的坐标为$(0,1)$, 且直线$y=kx-\\dfrac 35$($k\\in \\mathbf{R}$)与$\\Gamma$交于两不同点$A$、$B$, 求证: $\\overrightarrow{MA}\\cdot \\overrightarrow{MB}$为定值, 并求出该定值;\\\\\n(3)如图, 设点$M$的坐标为$(s,t)$, 过坐标原点$O$作圆$M:(x-s)^2+(y-t)^2=r^2$(其中$r$为定值, $0<r<1$, 且$|s|\\ne r$)的两条切线, 分别交$\\Gamma$于点$P$、$Q$, 直线$OP$、$OQ$的斜率分别记为$k_1$、$k_2$, 如果$k_1k_2$为定值, 试问: 是否存在锐角$\\theta$, 使得$2|OP|\\cdot|OQ|=5\\cdot \\sec \\theta$? 若存在, 试求出$\\theta$的一个值; 若不存在, 请说明理由.",
"content": "已知$F_1$、$F_2$分别为椭圆$\\Gamma :\\dfrac{x^2}4+y^2=1$的左、右焦点, $M$为$\\Gamma$上的一点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\r{0.75}\n\\draw [->] (-2.5,0) -- (2.5,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$} coordinate (O);\n\\draw [name path = ellipse] (0,0) ellipse (2 and 1);\n\\filldraw ({2*cos(75)},{sin(75)}) circle (0.03) node [above] {$M$} coordinate (M);\n\\draw (M) circle (\\r);\n\\draw [name path = tangent1] ($(O)!2.2!{-asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name path = tangent2] ($(O)!1.5!{asin(\\r/sqrt(4*pow(cos(75),2)+pow(sin(75),2)))}:(M)$) -- (O);\n\\draw [name intersections = {of = tangent1 and ellipse, by = P}];\n\\draw [name intersections = {of = tangent2 and ellipse, by = Q}];\n\\draw (P) node [above] {$P$};\n\\draw (Q) node [below left] {$Q$};\n\\end{tikzpicture}\n\\end{center}\n(1) 若点$M$的坐标为$(1,m)$($m>0$), 求$\\triangle F_1MF_2$的面积;\\\\\n(2) 若点$M$的坐标为$(0,1)$, 且直线$y=kx-\\dfrac 35$($k\\in \\mathbf{R}$)与$\\Gamma$交于两不同点$A$、$B$, 求证: $\\overrightarrow{MA}\\cdot \\overrightarrow{MB}$为定值, 并求出该定值;\\\\\n(3)如图, 设点$M$的坐标为$(s,t)$, 过坐标原点$O$作圆$M:(x-s)^2+(y-t)^2=r^2$(其中$r$为定值, $0<r<1$, 且$|s|\\ne r$)的两条切线, 分别交$\\Gamma$于点$P$、$Q$, 直线$OP$、$OQ$的斜率分别记为$k_1$、$k_2$, 如果$k_1k_2$为定值, 试问: 是否存在锐角$\\theta$, 使得$2|OP|\\cdot|OQ|=5\\cdot \\sec \\theta$? 若存在, 试求出$\\theta$的一个值; 若不存在, 请说明理由.",
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"origin": "人教版A版教材例题与习题",
"edit": [
"20221028\t王伟叶"
@ -304270,7 +304683,18 @@
"ans": "斜率为$1$, 倾斜角为$\\dfrac\\pi 4$",
"solution": "",
"duration": -1,
"usages": [],
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"20221115\t2023届高三10班\t0.919",
"20221115\t2023届高三11班\t0.762",
"20221115\t2023届高三12班\t0.737",
"20221115\t2023届高三02班\t0.806",
"20221115\t2023届高三03班\t0.931",
"20221115\t2023届高三04班\t0.968",
"20221115\t2023届高三06班\t0.944",
"20221115\t2023届高三07班\t0.966",
"20221115\t2023届高三08班\t0.862",
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],
"origin": "人教版A版教材例题与习题",
"edit": [
"20221028\t王伟叶"
@ -304600,7 +305024,18 @@
"ans": "(1) $y'=\\mathrm{e}^x(3x^2+x^3)$; (2) $y'=\\dfrac{2x\\cos x-4\\sin x}{x^3}$",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
"20221115\t2023届高三10班\t0.973\t0.892",
"20221115\t2023届高三11班\t1.000\t0.905",
"20221115\t2023届高三12班\t1.000\t1.000",
"20221115\t2023届高三02班\t0.968\t0.774",
"20221115\t2023届高三03班\t1.000\t0.966",
"20221115\t2023届高三04班\t1.000\t0.839",
"20221115\t2023届高三06班\t0.944\t0.611",
"20221115\t2023届高三07班\t0.966\t0.897",
"20221115\t2023届高三08班\t0.966\t0.724",
"20221115\t2023届高三09班\t1.000\t0.967"
],
"origin": "人教版A版教材例题与习题",
"edit": [
"20221028\t王伟叶"
@ -304685,7 +305120,18 @@
"ans": "$x+y-5=0$",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
"20221115\t2023届高三10班\t0.757",
"20221115\t2023届高三11班\t0.667",
"20221115\t2023届高三12班\t0.947",
"20221115\t2023届高三02班\t0.935",
"20221115\t2023届高三03班\t0.897",
"20221115\t2023届高三04班\t0.935",
"20221115\t2023届高三06班\t0.889",
"20221115\t2023届高三07班\t0.862",
"20221115\t2023届高三08班\t0.862",
"20221115\t2023届高三09班\t1.000"
],
"origin": "人教版A版教材例题与习题",
"edit": [
"20221028\t王伟叶"
@ -304980,7 +305426,18 @@
"ans": "$1+\\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
"20221115\t2023届高三10班\t0.892",
"20221115\t2023届高三11班\t0.809",
"20221115\t2023届高三12班\t0.895",
"20221115\t2023届高三02班\t0.839",
"20221115\t2023届高三03班\t0.897",
"20221115\t2023届高三04班\t0.871",
"20221115\t2023届高三06班\t0.750",
"20221115\t2023届高三07班\t0.931",
"20221115\t2023届高三08班\t0.828",
"20221115\t2023届高三09班\t0.767"
],
"origin": "人教版A版教材例题与习题",
"edit": [
"20221028\t王伟叶"
@ -306178,7 +306635,18 @@
"ans": "$0$或$\\dfrac 12$",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
"20221115\t2023届高三10班\t0.703",
"20221115\t2023届高三11班\t0.714",
"20221115\t2023届高三12班\t0.632",
"20221115\t2023届高三02班\t0.516",
"20221115\t2023届高三03班\t0.621",
"20221115\t2023届高三04班\t0.645",
"20221115\t2023届高三06班\t0.417",
"20221115\t2023届高三07班\t0.759",
"20221115\t2023届高三08班\t0.655",
"20221115\t2023届高三09班\t0.533"
],
"origin": "人教版A版教材例题与习题",
"edit": [
"20221028\t王伟叶"
@ -306430,7 +306898,18 @@
"ans": "(1) $(\\dfrac 12,-\\dfrac {31}{64})$; (2) $y=5x-5$或$y=-7x-5$",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
"20221115\t2023届高三10班\t0.946\t0.757",
"20221115\t2023届高三11班\t1.000\t0.571",
"20221115\t2023届高三12班\t0.842\t0.789",
"20221115\t2023届高三02班\t0.839\t0.710",
"20221115\t2023届高三03班\t0.897\t0.759",
"20221115\t2023届高三04班\t0.613\t0.677",
"20221115\t2023届高三06班\t0.667\t0.861",
"20221115\t2023届高三07班\t0.897\t0.690",
"20221115\t2023届高三08班\t0.793\t0.793",
"20221115\t2023届高三09班\t0.967\t0.833"
],
"origin": "高中数学教与学例题与习题",
"edit": [
"20221029\t王伟叶"
@ -306634,7 +307113,18 @@
"ans": "$2$",
"solution": "",
"duration": -1,
"usages": [],
"usages": [
"20221115\t2023届高三10班\t0.892",
"20221115\t2023届高三11班\t0.667",
"20221115\t2023届高三12班\t0.684",
"20221115\t2023届高三02班\t0.935",
"20221115\t2023届高三03班\t0.966",
"20221115\t2023届高三04班\t0.968",
"20221115\t2023届高三06班\t0.861",
"20221115\t2023届高三07班\t0.862",
"20221115\t2023届高三08班\t0.966",
"20221115\t2023届高三09班\t0.600"
],
"origin": "高中数学教与学例题与习题",
"edit": [
"20221029\t王伟叶"
@ -306807,7 +307297,18 @@
"ans": "(1) 证明略; (2) $5120$; (3) $2525\\times 2^{99}$",
"solution": "",
"duration": -1,
"usages": [],
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"20221115\t2023届高三10班\t0.676\t0.730\t0.243",
"20221115\t2023届高三11班\t0.429\t0.429\t0.000",
"20221115\t2023届高三12班\t0.737\t0.737\t0.105",
"20221115\t2023届高三02班\t0.677\t0.806\t0.323",
"20221115\t2023届高三03班\t0.862\t0.724\t0.414",
"20221115\t2023届高三04班\t0.935\t0.774\t0.355",
"20221115\t2023届高三06班\t0.667\t0.639\t0.167",
"20221115\t2023届高三07班\t0.724\t0.655\t0.069",
"20221115\t2023届高三08班\t0.724\t0.724\t0.103",
"20221115\t2023届高三09班\t0.500\t0.567\t0.033"
],
"origin": "高中数学教与学例题与习题",
"edit": [
"20221029\t王伟叶"
@ -308677,7 +309178,16 @@
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"20221115\t2023届高三03班\t0.565",
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"20221115\t2023届高三12班\t0.500",
"20221115\t2023届高三02班\t0.500",
"20221115\t2023届高三05班\t0.417",
"20221115\t2023届高三08班\t0.345",
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],
"origin": "二期课改练习册高二第一学期-20221104修改",
"edit": [
"20220726\t王伟叶",