From 1f64349ffba057fefd78ff63fc4585d644927d85 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Wed, 31 Jan 2024 16:04:37 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A5=E4=B8=80=E4=BA=9B=E8=B5=8B?= =?UTF-8?q?=E8=83=BD=E9=A2=98=E7=9B=AE?= 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 | 6 + 题库0.3/Problems.json | 311 +++++++++++++++++++++++++++++-- 2 files changed, 304 insertions(+), 13 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 ea9e4b9d..a5846a57 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 @@ -289,3 +289,9 @@ 20240131-155337 030618,024352:024353,031095,024354,031069,024355:024357,030944 +20240131-155912 +024358:024359,011243,024360:024362,011248:011249,011254,024363 + +20240131-160317 +030605,030965,024364:024367,011628,024368,030644,024369 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 6ba3eb5f..ee52bb5f 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -22338,7 +22338,9 @@ "20220624\t朱敏慧, 王伟叶" ], "same": [], - "related": [], + "related": [ + "024361" + ], "remark": "", "space": "", "unrelated": [] @@ -296462,7 +296464,9 @@ "same": [ "021136" ], - "related": [], + "related": [ + "024368" + ], "remark": "", "space": "4em", "unrelated": [] @@ -340735,7 +340739,9 @@ "20221209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024361" + ], "remark": "", "space": "", "unrelated": [] @@ -376937,7 +376943,9 @@ "20230123\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024362" + ], "remark": "", "space": "", "unrelated": [] @@ -424168,7 +424176,9 @@ "20230414\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024366" + ], "remark": "", "space": "", "unrelated": [] @@ -465868,7 +465878,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024361" + ], "remark": "", "space": "", "unrelated": [] @@ -471544,7 +471556,9 @@ "030884", "040488" ], - "related": [], + "related": [ + "024367" + ], "remark": "", "space": "", "unrelated": [] @@ -524109,7 +524123,9 @@ "20230730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024366" + ], "remark": "", "space": "", "unrelated": [] @@ -572582,7 +572598,9 @@ "same": [ "010559" ], - "related": [], + "related": [ + "024368" + ], "remark": "", "space": "4em", "unrelated": [] @@ -660240,6 +660258,265 @@ "space": "", "unrelated": [] }, + "024358": { + "id": "024358", + "content": "已知集合 $A=\\{-1,0,1,2\\}$, $B=\\{x | x^2 \\leq 1\\}$, 则 $A \\cap B=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024359": { + "id": "024359", + "content": "已知复数 $z$ 满足 $\\dfrac{1}{z-1}=\\mathrm{i}$ ($\\mathrm{i}$ 为虚数单位), 则 $|\\overline{z}|=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024360": { + "id": "024360", + "content": "函数 $f(x)=\\dfrac{1}{3}x^3+x^2-2$ 在区间 $(-\\infty,-1]$ 上的最大值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "040630" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024361": { + "id": "024361", + "content": "若 $(x+\\dfrac{1}{x})^n$ 展开式的系数之和为 64 , 则展开式的常数项的值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "012169", + "000593", + "016978" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024362": { + "id": "024362", + "content": "设随机变量 $X$ 服从二项分布 $B(6, p)$, 且 $E[X]=2$, 则 $D[X]=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "013411" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024363": { + "id": "024363", + "content": "以圆 $x^2+y^2+4 x+3=0$ 的圆心为焦点的拋物线标准方程为\\bracket{20}.\n\\fourch{$y^2=4 x$}{$y^2=-4 x$}{$y^2=-8 x$}{$y^2=8 x$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024364": { + "id": "024364", + "content": "函数 $f(x)=x-\\ln x$ 的最小值是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024365": { + "id": "024365", + "content": "设随机变量 $X \\sim N(30,6^2)$, 则 $D[X]=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024366": { + "id": "024366", + "content": "如果一个圆柱的底面积和侧面积分别为 $9 \\pi$ 和 $15 \\pi$, 则该圆柱的体积为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "015167", + "019550" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024367": { + "id": "024367", + "content": "首项为 $1$, 公比为 $-\\dfrac{1}{2}$ 的无穷等比数列 $\\{a_n\\}$ 的前 $n$ 和的极限为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "017229", + "030884", + "040488" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024368": { + "id": "024368", + "content": "甲乙两射手独立地射击同一目标, 他们的命中率分别为 0.8 和 0.9 , 则目标被击中的概率为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [ + "010559", + "021136", + "032025" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024369": { + "id": "024369", + "content": "甲乙两工厂生产某种产品, 抽取连续 5 个月的产品生产产量 (单位: 件) 情况如下:\n甲: $80$、$70$、$100$、$50$、$90$;\n乙: $60$、$70$、$80$、$55$、$95$,\n则下列说法中正确的是\\bracket{20}.\n\\twoch{甲平均产量高, 甲产量稳定}{甲平均产量高, 乙产量稳定}{乙平均产量高, 甲产量稳定}{乙平均产量高, 乙产量稳定}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240131\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "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