From 112c76a511c90d900bfb8d2b2f5e4c2e50fe8a19 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 11:14:17 +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=9A25=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 | 234 ++++++++++++++++++++++++++++++- 2 files changed, 231 insertions(+), 6 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 423f9b28..e6843e16 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 @@ -73,3 +73,6 @@ 20240125-110148 023808:023810,015997,023811:023817 +20240125-111402 +023818:023827 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 923c7ff2..d69ae2c5 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -235486,7 +235486,9 @@ "20220726\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023823" + ], "remark": "", "space": "4em", "unrelated": [] @@ -341072,7 +341074,9 @@ "20221209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023821" + ], "remark": "", "space": "", "unrelated": [] @@ -396973,7 +396977,9 @@ "20230131\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023821" + ], "remark": "", "space": "", "unrelated": [] @@ -585265,7 +585271,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023822" + ], "remark": "", "space": "", "unrelated": [] @@ -642830,6 +642838,216 @@ "space": "4em", "unrelated": [] }, + "023818": { + "id": "023818", + "content": "函数 $y=\\lg (1-2 \\cos x)$ 的定义域为\\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": [] + }, + "023819": { + "id": "023819", + "content": "函数 $y=\\dfrac{\\sin ^2 x+2}{\\sin x}$ 的值域为\\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": [] + }, + "023820": { + "id": "023820", + "content": "$ 的值域为\\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": [ + "040402" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023821": { + "id": "023821", + "content": "函数 $y=\\tan 3 \\pi x$ 的最小正周期为\\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": [ + "012226", + "014259" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023822": { + "id": "023822", + "content": "函数 $y=\\tan (x+\\dfrac{\\pi}{4})$ 的严格\\blank{50}(填写``增''或``减'') 区间为\\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": [ + "021718" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023823": { + "id": "023823", + "content": "函数 $y=\\sin (\\dfrac{\\pi}{3}-2 x)$ 的严格减区间是\\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": [ + "008271", + "040692" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023824": { + "id": "023824", + "content": "设 $a, b \\in \\mathbf{R}$. 若函数 $y=2 \\cos x$ 的定义域为 $[\\dfrac{\\pi}{3}, \\pi]$, 值域为 $[a, b]$, 则 $b-a=$\\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": [] + }, + "023825": { + "id": "023825", + "content": "若 $y=\\sin (2 x+\\alpha)+\\cos (2 x+\\alpha)$ 为奇函数, 则最小正数 $\\alpha$ 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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023826": { + "id": "023826", + "content": "设实数 $t>0$, $f(x)=2 \\sin x+t \\cos x$, \\\\\n(1) 当 $t=1$ 时, $f(x)$ 的最大值为\\blank{50}.\\\\\n(2) 已知 $f(x)=4$ 有实数解, 则 $t$ 的最小值为\\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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023827": { + "id": "023827", + "content": "设 $a \\in \\mathbf{R}$. 当 $x \\in[0, \\dfrac{\\pi}{2}]$ 时, 求 $y=\\cos ^2 x-2 a \\cos x$ 的最小值.", + "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