From 18e565778c77bc9ba863cf789084154d61afafe2 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 13:48:12 +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=9A55=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 | 203 ++++++++++++++++++++++++++++++- 2 files changed, 202 insertions(+), 4 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 491c8c32..6979709d 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 @@ -163,3 +163,6 @@ 20240125-134138 015380,024031:024039 +20240125-134803 +024040:024048 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 906071af..0585c16a 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -87437,7 +87437,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024047" + ], "remark": "", "space": "4em", "unrelated": [] @@ -476507,7 +476509,9 @@ "20230606\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024046" + ], "remark": "", "space": "", "unrelated": [] @@ -599897,7 +599901,9 @@ "edit": [ "20230905\t王伟叶" ], - "same": [], + "same": [ + "024043" + ], "related": [], "remark": "", "space": "", @@ -600199,7 +600205,9 @@ "edit": [ "20230905\t王伟叶" ], - "same": [], + "same": [ + "024043" + ], "related": [], "remark": "", "space": "", @@ -647585,6 +647593,193 @@ "space": "", "unrelated": [] }, + "024040": { + "id": "024040", + "content": "命题 $p$: 若 $a$、$b \\in \\mathbf{R}$, 则 $|a|+|b|>1$ 是 $|a+b|>1$ 的充分非必要条件; \n命题 $q$: 函数 $y=\\sqrt{|x-1|-2}$ 的定义域是 $(-\\infty,-1] \\cup[3,+\\infty)$, 则\\bracket{20}.\n\\fourch{``$p$ 或 $q$''为假}{``$p$ 且 $q$''为真}{$p$ 真 $q$ 假}{$p$ 假 $q$ 真}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024041": { + "id": "024041", + "content": "设 $x \\in \\mathbf{R}$, 则``$|x+1|<2$''是``$\\lg x<0$''的条件\\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": [] + }, + "024042": { + "id": "024042", + "content": "设 $a$、$b \\in R$, 用 $\\alpha \\Rightarrow \\beta, \\beta \\Rightarrow \\alpha, \\alpha \\Leftrightarrow \\beta$ 这三种符号中的一种填空:\\\\\n(1) $\\alpha: $ 方程 $x^2+a x+b=0$ 有两相异实数根; $\\beta: b<0$. 则\\blank{50};\\\\\n(2) $\\alpha: a^2+b^2=0 ; \\beta: a=b=0$. 则\\blank{50};\\\\\n(3) $\\alpha: a b>0 ; \\beta:|a+b|=|a|+|b|$. 则\\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": [] + }, + "024043": { + "id": "024043", + "content": "已知集合 $M=\\{x | x>2\\}$, $P=\\{x | x<3\\}$, 那么``$x \\in M$ 或 $x \\in P$''是``$x \\in M \\cap P$''的条件. (填入``充要''、``充分非必要''、``必要非充分''、``非充分非必要''之一)", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [ + "022195", + "022208" + ], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "024044": { + "id": "024044", + "content": "设 $x$、$y \\in \\mathbf{R}$, 用反证法证明命题``如果 $x^2+y^2<4$, 那么 $|x|<2$ 且 $|y|<2$''时, 应先假设\\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": [] + }, + "024045": { + "id": "024045", + "content": "设 $n \\in \\mathbf{N}$ 且 $n \\geq 1$, 一元二次方程 $x^2-4 x+n=0$ 有整数根的一个充要条件是\\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": [] + }, + "024046": { + "id": "024046", + "content": "函数 $f(x)=x^2+m x+1$ 的图像关于直线 $x=1$ 对称的一个充要条件是\\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": [ + "017560" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024047": { + "id": "024047", + "content": "已知 $P=\\{x | x^2-8 x-20 \\leq 0\\}$, 非空集合 $S=\\{x | 1-m \\leq x \\leq 1+m\\}$, 若 $x \\in P$ 是 $x \\in S$ 的必要条件, 则实数 $m$ 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": [ + "002748" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024048": { + "id": "024048", + "content": "设 $a$、$b$、$c \\in(0,1)$, 用反证法证明: 下列三个关于 $x$ 的方程$a x^2+x+1-b=0$、$b x^2+x+1-c=0$、$c x^2+x+1-a=0$ 中至少有一个有实数根.", + "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