diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt index 4666d7e9..479a4de1 100644 --- a/工具v2/文本文件/新题收录列表.txt +++ b/工具v2/文本文件/新题收录列表.txt @@ -118,3 +118,6 @@ 20240125-120800 023925:023926,014924,016867,023927,020917,023159,023928 +20240125-122103 +023929:023933,016750,023934:023935 + diff --git a/工具v2/讲义生成.py b/工具v2/讲义生成.py index d96b026d..5ca3e985 100644 --- a/工具v2/讲义生成.py +++ b/工具v2/讲义生成.py @@ -1,4 +1,4 @@ -lessonpattern = r"[GJE]202[456]0\d0[123]" # 正则表达式, 数据库中讲义的编号([A-Z][0-9]{4}[(01)|(02)][[0-9]{2}), 字母表示类型, 四位数字表示届别, 2位数字表示学期及其他, 2位数字表示序号 +lessonpattern = r"V202405[0123]\d" # 正则表达式, 数据库中讲义的编号([A-Z][0-9]{4}[(01)|(02)][[0-9]{2}), 字母表示类型, 四位数字表示届别, 2位数字表示学期及其他, 2位数字表示序号 outputdir = "d:/temp/26届材料" # 输出文件夹, 不建议修改 answered = True # 设置是否编译答案 diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 2ea27990..3ee84d7e 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -6648,7 +6648,9 @@ "20220624\t王伟叶, 余利成" ], "same": [], - "related": [], + "related": [ + "023932" + ], "remark": "", "space": "4em", "unrelated": [] @@ -138601,7 +138603,8 @@ ], "same": [], "related": [ - "011402" + "011402", + "023929" ], "remark": "", "space": "", @@ -299978,7 +299981,9 @@ "edit": [ "20220806\t王伟叶" ], - "same": [], + "same": [ + "023934" + ], "related": [], "remark": "", "space": "4em", @@ -645202,6 +645207,152 @@ "space": "4em", "unrelated": [] }, + "023929": { + "id": "023929", + "content": "已知直线$l$和平面$\\alpha$、$\\beta$, 若$l\\subset \\alpha$, 则``$l\\perp \\beta$''是``$\\alpha\\perp \\beta$''的\\blank{50}条件.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "004479" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023930": { + "id": "023930", + "content": "设两个平面 $\\alpha, \\beta$, 直线 $l$, 下列三个条件: \\textcircled{1} $l \\perp \\alpha$; \\textcircled{2} $l \\parallel \\beta$; \\textcircled{3} $\\alpha \\perp \\beta$. 若以其中两个作为前提, 另一个作为结论, 则可构成三个命题, 这三个命题中正确的命题个数为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023931": { + "id": "023931", + "content": "有以下命题:\\\\\n\\textcircled{1} 若直线 $m, n$ 都平行于平面 $\\alpha$, 则 $m \\parallel n$;\\\\\n\\textcircled{2} 设 $a-l-\\beta$ 是直二面角, 若直线 $m \\perp l$, 则 $m \\perp \\beta$;\\\\\n\\textcircled{3} 若直线 $m$、$n$ 在平面 $\\alpha$ 内的射影依次是一个点和一条直线, 且 $m \\perp n$, 则 $n$ 在 $\\alpha$ 内或 $n$ 与 $\\alpha$ 平行;\\\\\n\\textcircled{4} 设 $m$、$n$ 是异面直线, 若 $m$ 与平面 $\\alpha$ 平行, 则 $n$ 与 $\\alpha$ 相交.\n其中所有真命题的序号为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023932": { + "id": "023932", + "content": "以等腰直角三角形 $ABC$ 斜边 $AB$ 中线 $CD$ 为棱, 若将 $\\triangle ABC$ 折叠, 使平面 $ACD \\perp$ 平面 $BCD$, 则 $AC$ 与 $BC$ 夹角 $\\angle ACB$ 的大小为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "000189" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023933": { + "id": "023933", + "content": "正方体 $ABCD-A' B' C' D'$ 中, 若 $E$、$F$ 分别是 $BC$、$CD$ 的中点, 则截面 $B' D' EF$ 与半平面 $B' ECC'$ 所成二面角的大小为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023934": { + "id": "023934", + "content": "如图, 在正方体 $ABCD-A_1B_1C_1D_1$ 中, $M$、$N$、$P$ 分别是 $C_1C$、$B_1C_1$ 、 $C_1D_1$ 的中点, 求证:平面 $MNP \\parallel$ 平面 $A_1BD$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A_1);\n\\draw (B) ++ (0,\\l,0) node [below left] {$B_1$} coordinate (B_1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C_1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D_1);\n\\draw (A_1) -- (B_1) -- (C_1) -- (D_1) -- cycle;\n\\draw (A) -- (A_1) (B) -- (B_1) (C) -- (C_1);\n\\draw [dashed] (D) -- (D_1);\n\\draw ($(C)!0.5!(C_1)$) node [right] {$M$} coordinate (M);\n\\draw ($(B_1)!0.5!(C_1)$) node [below] {$N$} coordinate (N);\n\\draw ($(C_1)!0.5!(D_1)$) node [above] {$P$} coordinate (P);\n\\draw (M)--(N)--(P);\n\\draw [dashed] (M)--(P);\n\\end{tikzpicture}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [ + "010731" + ], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "023935": { + "id": "023935", + "content": "如图, 在直四棱柱 $ABCD-A_1B_1C_1D_1$ 中, 四边形 $ABCD$ 为菱形、 $E$ 为棱 $A_1A$ 的中点, 且 $O$ 为 $A_1C_1$ 与 $B_1D_1$ 的交点.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\def\\l{2}\n\\draw (0,0,0) node [below left] {$A$} coordinate (A);\n\\draw (A) ++ (\\l,0,0) node [below] {$B$} coordinate (B);\n\\draw (A) ++ (\\l,0,-\\l) node [right] {$C$} coordinate (C);\n\\draw (A) ++ (0,0,-\\l) node [left] {$D$} coordinate (D);\n\\draw (A) -- (B) -- (C);\n\\draw [dashed] (A) -- (D) -- (C);\n\\draw (A) ++ (0,\\l,0) node [left] {$A_1$} coordinate (A_1);\n\\draw (B) ++ (0,\\l,0) node [right] {$B_1$} coordinate (B_1);\n\\draw (C) ++ (0,\\l,0) node [above right] {$C_1$} coordinate (C_1);\n\\draw (D) ++ (0,\\l,0) node [above left] {$D_1$} coordinate (D_1);\n\\draw (A_1) -- (B_1) -- (C_1) -- (D_1) -- cycle;\n\\draw (A) -- (A_1) (B) -- (B_1) (C) -- (C_1);\n\\draw [dashed] (D) -- (D_1);\n\\draw ($(A)!0.5!(A_1)$) node [left] {$E$} coordinate (E);\n\\draw (B)--(C_1)(E)--(B_1)(A_1)--(C_1)(B_1)--(D_1);\n\\draw ($(A_1)!0.5!(C_1)$) node [above] {$O$} coordinate (O);\n\\draw [dashed] (E)--(D_1)(A)--(C_1);\n\\end{tikzpicture}\n\\end{center}\n(1) 求证: $OE \\parallel $ 平面 $ABC_1$;\\\\\n(2) 求证: 平面 $AA_1C_1\\perp$ 平面 $B_1D_1E$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, "030001": { "id": "030001", "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0