From 74cf7134a33e4a1daedc9418a2cde710c0dbcb83 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 12:57:00 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=B8=89=E5=AF=92?= =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A48=E6=96=B0=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/文本文件/新题收录列表.txt | 3 + 题库0.3/Problems.json | 152 ++++++++++++++++++++++++++++++- 2 files changed, 153 insertions(+), 2 deletions(-) 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 27ee6207..97dc1de0 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 @@ -142,3 +142,6 @@ 20240125-125411 023971:023978 +20240125-125651 +023979:023984,012842,023985 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 8dbc253d..75f73fb3 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -90255,7 +90255,9 @@ "20240124\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023981" + ], "remark": "", "space": "", "unrelated": [] @@ -175318,7 +175320,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023979" + ], "remark": "", "space": "4em", "unrelated": [] @@ -646259,6 +646263,150 @@ "space": "4em", "unrelated": [] }, + "023979": { + "id": "023979", + "content": "若函数 $f(x+1)$ 是偶函数, 则 $f(x)$ 的图像的对称轴方程是\\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": [ + "005847" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023980": { + "id": "023980", + "content": "若 $f(x)=x^2+2 x-3$, 则 $y=|f(x)|$ 的严格增区间是\\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": [] + }, + "023981": { + "id": "023981", + "content": "若奇函数 $f(x)$ 的定义域为 $[-5,5]$, 当 $x \\in[0,5]$ 时, $f(x)$ 的图像如图所示, 则不等式 $f(x)<0$ 的解是\\blank{50}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, yscale = 0.5]\n\\draw [->] (-1,0) -- (6,0) node [below] {$x$};\n\\draw [->] (0,-2.5) -- (0,2.5) node [left] {$y$};\n\\draw (2,0) node [below] {$2$};\n\\draw (5,0) node [above] {$5$};\n\\draw [domain = 0:2,samples = 100] plot (\\x,-\\x*\\x+2*\\x);\n\\draw [domain = 2:5,samples = 100] plot (\\x, \\x*\\x/2-4*\\x+6);\n\\draw [dashed] (5,0) -- (5,-1.5);\n\\draw (0,0) node [below left] {$O$};\n\\end{tikzpicture}\n\\end{center}", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "002848" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023982": { + "id": "023982", + "content": "若函数 $f(x)=\\dfrac{x-a}{x-a-1}$ 图像的对称中心是 $(4,1)$, 则实数 $a$ 的值等于\\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": [] + }, + "023983": { + "id": "023983", + "content": "若定义域为 $\\mathbf{R}$ 的函数 $f(x)=\\begin{cases}|\\lg x|,& x>0,\\\\-x^2-2 x,& x \\leq 0,\\end{cases}$ 则函数 $f(x)$ 的零点为\\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": [] + }, + "023984": { + "id": "023984", + "content": "若直线 $y=1$ 与曲线 $y=x^2-|x|+a$ 有四个交点, 则实数 $a$ 的取值范围是\\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": [] + }, + "023985": { + "id": "023985", + "content": "讨论关于 $x$ 的方程 $|x^2-2 x-3|-a=0$($a \\in \\mathbf{R}$) 的实数解的个数.", + "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