From 8ff685a4771f4de956a6c94677c7b1d936581325 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 13:06:07 +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=9A51=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 | 215 ++++++++++++++++++++++++++++++- 2 files changed, 215 insertions(+), 3 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 55eccd17..df4cdce9 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 @@ -151,3 +151,6 @@ 20240125-130257 023994:024001 +20240125-130554 +024002:024011 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 62de90fd..7c22de83 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -169348,7 +169348,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024004" + ], "remark": "", "space": "4em", "unrelated": [] @@ -170058,7 +170060,8 @@ ], "same": [], "related": [ - "005636" + "005636", + "024004" ], "remark": "", "space": "", @@ -646745,6 +646748,210 @@ "space": "4em", "unrelated": [] }, + "024002": { + "id": "024002", + "content": "函数 $y=\\sqrt{\\log _3(2 x-1)+1}$ 的定义域是\\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": [] + }, + "024003": { + "id": "024003", + "content": "计算: $\\lg \\dfrac{5}{2}+2 \\lg 2-(\\dfrac{1}{2})^{-1}=$\\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": [] + }, + "024004": { + "id": "024004", + "content": "若 $2^a=5^b=m$, 且 $\\dfrac{1}{a}+\\dfrac{1}{b}=2$, 则 $m=$\\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": [ + "031316", + "005609", + "005637" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024005": { + "id": "024005", + "content": "若函数 $f(x)=\\begin{cases}-x+6,& x \\geq 2,\\\\3+\\log _ax,& x>2\\end{cases}$($a>0$, $a \\neq 1$) 的值域是 $[4,+\\infty)$, 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": [] + }, + "024006": { + "id": "024006", + "content": "已知 $a>0$, 且 $a \\neq 1$, 函数 $y=\\log _a(2 x-3)+\\sqrt{2}$ 的图像恒过点 $P$. 若点 $P$ 也在幂函数 $f(x)$ 的图像上, 则 $f(x)=$\\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": [] + }, + "024007": { + "id": "024007", + "content": "若函数 $f(x)=\\log _2(x^2-a x-3 a)$ 在区间 $(-\\infty,-2]$ 上是严格减函数, 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": [] + }, + "024008": { + "id": "024008", + "content": "若函数 $f(x)=\\lg (x^2-4 x-5)$ 在 $(a,+\\infty)$ 上是严格增函数, 则 $a$ 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": [] + }, + "024009": { + "id": "024009", + "content": "已知 $f(x)$ 是定义在 $\\mathbf{R}$ 上的奇函数, $f(x-2)$ 为偶函数, 若当 $00$ 时, $f(x)=\\log _{\\frac{1}{2}}x$, 则不等式 $f(x^2-1)>-2$ 的解集为\\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": [] + }, + "024011": { + "id": "024011", + "content": "已知函数 $f(x)=\\lg (x+\\dfrac{a}{x}-2)$, 其中 $a$ 是大于 $0$ 的常数. 若对任意 $x \\in[2,+\\infty)$ 恒有 $f(x)>0$, 试确定实数 $a$ 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": [], + "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