From 02db9b99521da7dfe8baec271e75d370b63f1b4f Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 10:51:27 +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=9A21=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 | 232 ++++++++++++++++++++++++++++++- 2 files changed, 229 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 9946319f..76edd777 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 @@ -61,3 +61,6 @@ 20240125-104329 023772:023778 +20240125-105050 +023779:023788 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index afea89fb..c023ed8b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -50834,7 +50834,8 @@ ], "same": [], "related": [ - "005906" + "005906", + "023785" ], "remark": "", "space": "", @@ -96175,7 +96176,9 @@ "same": [ "005906" ], - "related": [], + "related": [ + "023785" + ], "remark": "", "space": "", "unrelated": [] @@ -439199,7 +439202,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023787" + ], "remark": "", "space": "4em", "unrelated": [] @@ -439529,7 +439534,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023781" + ], "remark": "", "space": "4em", "unrelated": [] @@ -442269,7 +442276,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023785" + ], "remark": "", "space": "", "unrelated": [] @@ -577401,7 +577410,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "023781" + ], "remark": "", "space": "4em", "unrelated": [] @@ -641985,6 +641996,215 @@ "space": "4em", "unrelated": [] }, + "023779": { + "id": "023779", + "content": "若 $\\alpha=\\dfrac{2}{3}\\pi$, 则与 $\\alpha$ 终边相同的角的集合是\\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": [] + }, + "023780": { + "id": "023780", + "content": "在半径为 $10 \\mathrm{m}$ 的圆形弯道中, $120^{\\circ}$ 角所对应的弯道长为\\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": [] + }, + "023781": { + "id": "023781", + "content": "若扇形的面积是 $1$ , 周长是 $4$ , 则扇形的中心角的弧度数为\\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": [ + "021463", + "015905" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023782": { + "id": "023782", + "content": "\\textcircled{1} $-\\dfrac{3 \\pi}{4}$ 是第二象限角;\\textcircled{2} $\\dfrac{4 \\pi}{3}$ 是第三象限角;\\textcircled{3} $-400^{\\circ}$ 是第四象限角; \\textcircled{4} $-315^{\\circ}$ 是第一象限角. 其中正确的命题的个数为\\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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023783": { + "id": "023783", + "content": "已知角 $\\alpha$ 的终边过点 $(3 a-9, a+2)$, 若 $\\cos \\alpha<0$, $\\sin \\alpha>0$, 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": [] + }, + "023784": { + "id": "023784", + "content": "若角 $\\alpha$ 的终边落在函数 $y=-3 x$ 的图像上, 则 $\\cos \\alpha=$\\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": [] + }, + "023785": { + "id": "023785", + "content": "函数 $f(x)=\\dfrac{|\\sin x|}{\\sin x}+\\dfrac{|\\cos x|}{\\cos x}+\\dfrac{|\\tan x|}{\\tan x}$ 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": [ + "003061", + "016029", + "001532" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023786": { + "id": "023786", + "content": "在半径为 $2$ 的圆中, 一个扇形的周长等于半圆的弧长, 则该扇形圆心角的弧度数为\\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": [] + }, + "023787": { + "id": "023787", + "content": "已知角 $\\alpha$ 的终边上一点 $P(-\\sqrt{3}, m)$, 且 $\\sin \\alpha=\\dfrac{\\sqrt{2}}{4}m$, 则 $\\tan \\alpha$ 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": [ + "015890" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "023788": { + "id": "023788", + "content": "设点 $A$ 是单位圆与 $x$ 正半轴的交点, 点 $A$ 在圆周上依逆时针方向作匀速圆周运动, 已知点 $A$ $1$ 分钟转过 $\\theta$($0<\\theta<\\pi$), $2$ 分钟到达第三象限, $14$ 分钟回到原来位置, 求 $\\theta$ 的值.", + "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