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 c81f4582..d932d54d 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 @@ -238,3 +238,9 @@ 20240129-083516 024272 +20240131-142137 +024274:024276,017614,024277:024279,011354,024217,024280 + +20240131-143522 +024281:024284,019976,014717,024285:024288 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 21758c34..3984073b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -113594,7 +113594,9 @@ "same": [ "016154" ], - "related": [], + "related": [ + "024284" + ], "remark": "", "space": "", "unrelated": [] @@ -354616,7 +354618,9 @@ "20221217\t周双" ], "same": [], - "related": [], + "related": [ + "024287" + ], "remark": "", "space": "", "unrelated": [] @@ -396365,7 +396369,9 @@ "20230131\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024287" + ], "remark": "", "space": "", "unrelated": [] @@ -434992,7 +434998,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024274" + ], "remark": "", "space": "", "unrelated": [] @@ -521701,7 +521709,9 @@ "same": [ "030777" ], - "related": [], + "related": [ + "024286" + ], "remark": "", "space": "", "unrelated": [] @@ -524433,7 +524443,9 @@ "20230730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024284" + ], "remark": "", "space": "", "unrelated": [] @@ -657912,7 +657924,9 @@ "20240127\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024282" + ], "remark": "", "space": "", "unrelated": [] @@ -658411,6 +658425,320 @@ "space": "", "unrelated": [] }, + "024274": { + "id": "024274", + "content": "设集合 $A=\\{x | x^2-3 x-4<0\\}$, $B=\\{x |-2=latex]\n\\draw [->] (-0.5,0) -0 (2.5,0) node [below] {$x$};\n\\draw [->] (0,-1.1) -- (0,1.1) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = {-1/6}:{11/6}, samples = 100] plot (\\x,{sin(180*\\x+30)});\n\\draw (0,0.5) node [above left] {$B$} coordinate (B);\n\\draw ({5/6},0) node [below left] {$A$} coordinate (A);\n\\draw ({-1/12},{sin(15)}) node [left] {$D$} coordinate (D);\n\\draw ($(D)!2!(A)$) node [right] {$C$} coordinate (C);\n\\draw (B)--(C)(D)--(C);\n\\end{tikzpicture}\n\\end{center}\n\\fourch{$-1$}{$-\\dfrac{5}{6}$}{$\\dfrac{5}{6}$}{$\\dfrac{5}{3}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024281": { + "id": "024281", + "content": "设集合 $A=(-1,3)$, $B=[0,4)$, 则 $A \\cup B=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024282": { + "id": "024282", + "content": "复数 $z$ 满足 $\\overline{z}=\\dfrac{1}{1+\\mathrm{i}}$ ($\\mathrm{i}$ 为虚数单位), 则 $|z|=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "024252" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024283": { + "id": "024283", + "content": "已知一组数据 $6,7,8,8,9,10$, 则该组数据的标准差是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024284": { + "id": "024284", + "content": "若向量 $\\overrightarrow{a}=(1,0,1)$, $\\overrightarrow{b}=(0,1,-1)$ , 则向量 $\\overrightarrow{a}$ 与 $\\overrightarrow{b}$ 的夹角为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "019567", + "031957", + "003633" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024285": { + "id": "024285", + "content": "在公差不为零的等差数列 $\\{a_n\\}$ 中, $a_3$ 是 $a_1$ 与 $a_9$ 的等比中项, 则 $\\dfrac{a_1+a_2+\\cdots+a_9}{a_9}=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024286": { + "id": "024286", + "content": "设函数 $f(x)=\\sin \\omega x $($0<\\omega<2$), 将 $f(x)$ 图像向左平移 $\\dfrac{2 \\pi}{3}$ 单位后所得函数图像与原函数图像的对称轴重合, 则 $\\omega=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "019447", + "030777" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024287": { + "id": "024287", + "content": "设 $f(x)=x^\\alpha $($\\alpha \\in\\{-2,-1, \\dfrac{1}{3}, \\dfrac{1}{2}, 1,2\\}$), 则``$y=f(x)$ 图像经过点 $(-1,1)$''是``$y=f(x)$ 是偶函数''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件 }{充要条件}{既非充分又非必要条件}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "012626", + "014169" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024288": { + "id": "024288", + "content": "若曲线 $y=\\mathrm{e}^x-1$ 在 $x=x_0$ 处的切线方程为 $\\mathrm{e} x-y+t=0$, 则\\bracket{20}.\n\\fourch{$x_0=1$, $t=-1$}{$x_0=1$, $t=-\\mathrm{e}$}{$x_0=-1$, $t=-1$}{$x_0=-1$, $t=-\\mathrm{e}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "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