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[1
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] (./题目编辑.aux) )
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@ -2,15 +2,15 @@
|
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"cells": [
|
||||
{
|
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"cell_type": "code",
|
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"execution_count": 1,
|
||||
"execution_count": 3,
|
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"metadata": {},
|
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"outputs": [],
|
||||
"source": [
|
||||
"import os,re,json,time\n",
|
||||
"\n",
|
||||
"\"\"\"---设置原题目id与新题目id---\"\"\"\n",
|
||||
"old_id = \"30456\"\n",
|
||||
"new_id = \"30479\"\n",
|
||||
"old_id = \"4474\"\n",
|
||||
"new_id = \"30480\"\n",
|
||||
"\"\"\"---设置完毕---\"\"\"\n",
|
||||
"\n",
|
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"old_id = old_id.zfill(6)\n",
|
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|
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@ -2,7 +2,7 @@
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"cells": [
|
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{
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"execution_count": 4,
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"execution_count": 6,
|
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"metadata": {},
|
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"outputs": [
|
||||
{
|
||||
|
|
@ -57,9 +57,9 @@
|
|||
"\n",
|
||||
"\"\"\"---设置题号数据---\"\"\"\n",
|
||||
"problems = [\n",
|
||||
"\"11028:11029,11032:11033,11035:11039\",\n",
|
||||
"\"11040:11041,11043\",\n",
|
||||
"\"11046\"\n",
|
||||
"\"5304,4468:4473,30480,4475:4478\",\n",
|
||||
"\"4479:4482\",\n",
|
||||
"\"4484:4486\"\n",
|
||||
"\n",
|
||||
"]\n",
|
||||
"\"\"\"---设置题号数据结束---\"\"\"\n",
|
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|
|
|
|||
|
|
@ -115613,7 +115613,7 @@
|
|||
},
|
||||
"004468": {
|
||||
"id": "004468",
|
||||
"content": "设全集$U=\\mathbf{R}$集合$A=\\{-2,-1,0,1,2\\}$, $B=\\{x|x\\ge 0\\}$, 则$A\\cap \\complement_UB=$\\blank{50}.",
|
||||
"content": "设全集$U=\\mathbf{R}$集合$A=\\{-2,-1,0,1,2\\}$, $B=\\{x|x\\ge 0\\}$, 则$A\\cap \\overline{B}=$\\blank{50}.",
|
||||
"objs": [
|
||||
"K0104006B",
|
||||
"K0104001B"
|
||||
|
|
@ -115799,7 +115799,9 @@
|
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"same": [
|
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"011228"
|
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],
|
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|
||||
"related": [
|
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"030480"
|
||||
],
|
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|
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"space": ""
|
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},
|
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|
|
@ -115902,7 +115904,7 @@
|
|||
},
|
||||
"004479": {
|
||||
"id": "004479",
|
||||
"content": "设$\\alpha \\beta$为两个不同平面, 已知直线$l$在平面$\\alpha$内, 则``$\\alpha \\perp \\beta$''是``$l\\perp \\beta$''\n的\\bracket{20}.\n\\fourch{充分不必要条件}{必要不充分条件}{充要条件}{既不充分也不必要条件}",
|
||||
"content": "设$\\alpha,\\beta$为两个不同平面, 已知直线$l$在平面$\\alpha$内, 则``$\\alpha \\perp \\beta$''是``$l\\perp \\beta$''\n的\\bracket{20}.\n\\fourch{充分不必要条件}{必要不充分条件}{充要条件}{既不充分也不必要条件}",
|
||||
"objs": [],
|
||||
"tags": [
|
||||
"第六单元"
|
||||
|
|
@ -308590,7 +308592,7 @@
|
|||
},
|
||||
"030470": {
|
||||
"id": "030470",
|
||||
"content": "《九章算术$\\cdot$商功》主要讲述了以立体几何为主的各种形体体积的计算, 其堑堵是指底面为直角三角形的直棱柱. 如图所示, 在堑堵$ABC-A_1B_1C_1$中, $M$是$A_1C_1$的中点, $AB=2AA_1=2AC$, $\\overrightarrow{BN}=\\dfrac 13\\overrightarrow{BB_1}$, $\\overrightarrow{MG}=3\\overrightarrow{GN}$, 若$\\overrightarrow{AG}=x\\overrightarrow{AA_1}+y\\overrightarrow{AB}+z\\overrightarrow{AC}$, 则$x+y+z=$\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 1.5]\n\\def\\l{2}\n\\def\\m{1}\n\\def\\n{1}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\m) node [right] {$B_1$} coordinate (B1);\n\\draw (A) ++ (0,0,-\\m) node [left] {$A_1$} coordinate (A1);\n\\draw (A) ++ (0,\\n,0) node [left] {$C$} coordinate (C);\n\\draw (A1) ++ (0,\\n,0) node [above] {$C_1$} coordinate (C1);\n\\draw (A) -- (B) -- (B1) -- (C1) -- (C) -- cycle (B) -- (C);\n\\draw [dashed] (A) -- (A1) -- (B1) (A1) -- (C1);\n\\draw ($(A1)!0.5!(C1)$) node [right] {$M$} coordinate (M);\n\\draw ($(B)!{1/3}!(B1)$) node [right] {$N$} coordinate (N);\n\\draw ($(M)!0.75!(N)$) node [above] {$G$} coordinate (G);\n\\draw [dashed] (A) -- (G) (M) -- (N);\n\\end{tikzpicture}\n\\end{center}",
|
||||
"content": "《九章算术$\\cdot$商功》主要讲述了以立体几何为主的各种形体体积的计算, 其中堑堵是指底面为直角三角形的直棱柱. 如图所示, 在堑堵$ABC-A_1B_1C_1$中, $M$是$A_1C_1$的中点, $AB=2AA_1=2AC$, $\\overrightarrow{BN}=\\dfrac 13\\overrightarrow{BB_1}$, $\\overrightarrow{MG}=3\\overrightarrow{GN}$, 若$\\overrightarrow{AG}=x\\overrightarrow{AA_1}+y\\overrightarrow{AB}+z\\overrightarrow{AC}$, 则$x+y+z=$\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex,scale = 1.5]\n\\def\\l{2}\n\\def\\m{1}\n\\def\\n{1}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below right] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\m) node [right] {$B_1$} coordinate (B1);\n\\draw (A) ++ (0,0,-\\m) node [left] {$A_1$} coordinate (A1);\n\\draw (A) ++ (0,\\n,0) node [left] {$C$} coordinate (C);\n\\draw (A1) ++ (0,\\n,0) node [above] {$C_1$} coordinate (C1);\n\\draw (A) -- (B) -- (B1) -- (C1) -- (C) -- cycle (B) -- (C);\n\\draw [dashed] (A) -- (A1) -- (B1) (A1) -- (C1);\n\\draw ($(A1)!0.5!(C1)$) node [right] {$M$} coordinate (M);\n\\draw ($(B)!{1/3}!(B1)$) node [right] {$N$} coordinate (N);\n\\draw ($(M)!0.75!(N)$) node [above] {$G$} coordinate (G);\n\\draw [dashed] (A) -- (G) (M) -- (N);\n\\end{tikzpicture}\n\\end{center}",
|
||||
"objs": [
|
||||
"K0624003X"
|
||||
],
|
||||
|
|
@ -308848,5 +308850,29 @@
|
|||
],
|
||||
"remark": "",
|
||||
"space": "12ex"
|
||||
},
|
||||
"030480": {
|
||||
"id": "030480",
|
||||
"content": "已知$\\omega,t>0$, 函数$f(x)=\\sqrt 3 \\cos \\omega x -\\sin \\omega x$的最小正周期为$2\\pi$, 将$f(x)$的图像向左平移$t$个单位, 所得图像对应的函数为偶函数, 则$t$的最小值为\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [
|
||||
"暂无对应"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "2022届高三上学期测验卷07第8题-20221111修改",
|
||||
"edit": [
|
||||
"20220709\t王伟叶",
|
||||
"20221111\t"
|
||||
],
|
||||
"same": [],
|
||||
"related": [
|
||||
"004474"
|
||||
],
|
||||
"remark": "",
|
||||
"space": ""
|
||||
}
|
||||
}
|
||||
Reference in New Issue