From 203e848176141040567248bfd700f0cb6628b6c6 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 13:09:56 +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=9A52=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 | 185 +++++++++++++++++++++++++++++-- 2 files changed, 180 insertions(+), 8 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 df4cdce9..afedb069 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 @@ -154,3 +154,6 @@ 20240125-130554 024002:024011 +20240125-130946 +024012,015714,024013:024018 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 7c22de83..72673eb7 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -25325,7 +25325,9 @@ "same": [ "004067" ], - "related": [], + "related": [ + "024017" + ], "remark": "", "space": "", "unrelated": [] @@ -91282,7 +91284,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024016" + ], "remark": "", "space": "", "unrelated": [] @@ -124964,7 +124968,9 @@ "same": [ "000675" ], - "related": [], + "related": [ + "024017" + ], "remark": "", "space": "", "unrelated": [] @@ -226252,7 +226258,9 @@ "20220726\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024012" + ], "remark": "", "space": "4em", "unrelated": [] @@ -313570,7 +313578,9 @@ "20220817\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024016" + ], "remark": "", "space": "", "unrelated": [] @@ -517184,7 +517194,9 @@ "20230730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024018" + ], "remark": "", "space": "4em", "unrelated": [] @@ -549239,7 +549251,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024012" + ], "remark": "", "space": "4em", "unrelated": [] @@ -550377,7 +550391,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024014" + ], "remark": "", "space": "4em", "unrelated": [] @@ -646952,6 +646968,159 @@ "space": "4em", "unrelated": [] }, + "024012": { + "id": "024012", + "content": "若函数 $f(x)=a x^2+b x-3 a$($x \\in[a, 2 a+1]$) 是偶函数, 则 $f(1)$ 的值为\\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": [ + "007914", + "020531" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024013": { + "id": "024013", + "content": "函数 $f(x)=|x|(2-x)$ 的单调增区间是\\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": [] + }, + "024014": { + "id": "024014", + "content": "若函数 $y=\\log _{\\frac{1}{3}}(x^2-a x+a)$ 在区间 $(-\\infty, \\sqrt{2})$ 上是严格增函数, 则实数 $a$ 的取值范围为\\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": [ + "020568" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024015": { + "id": "024015", + "content": "若关于 $x$ 的方程 $2^x+3 x=k$ 的解在 $[1,2)$ 内, 则实数 $k$ 的取值范围为\\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": [] + }, + "024016": { + "id": "024016", + "content": "若函数 $y=f(x)$ 是定义在 $\\mathbf{R}$ 上的以 $3$ 为周期的奇函数, 且 $f(2)=0$, 则方程 $f(x)=0$ 在区间 $(0,6)$ 内零点的个数的最小值是\\blank{50}个.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "011190", + "002882" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024017": { + "id": "024017", + "content": "若定义在 $\\mathbf{R}$ 上的函数 $f(x)$ 满足: \\textcircled{1} $f(x)+f(2-x)=0$; \\textcircled{2} $f(x-2)=f(-x)$; \\textcircled{3} 当 $x \\in[-1,1]$ 时, $f(x)=\\begin{cases}\\sqrt{1-x^2},& x \\in[-1,0],\\\\ \\cos \\dfrac{\\pi}{2}x,& x \\in(0,1].\\end{cases}$ 则函数 $y=f(x)-(\\dfrac{1}{2})^{|x|}$ 在区间 $[-3,3]$ 上的零点个数为\\blank{50}个.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "004067", + "000675" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024018": { + "id": "024018", + "content": "设 $f(x)=x^3+a x^2-2 x$($x \\in \\mathbf{R}$), 其中常数 $a \\in \\mathbf{R}$.\\\\\n(1) 判断函数 $y=f(x)$ 的奇偶性, 并说明理由;\\\\\n(2) 若不等式 $f(x)>\\dfrac{3}{2}x^3$ 在区间 $[\\dfrac{1}{2}, 1]$ 上有解, 求实数 $a$ 的取值范围.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "019381" + ], + "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