From 94f798fb15ab5f8ed27e1b214a644e260da66b62 Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Thu, 25 Jan 2024 10:28:15 +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=9A17=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            | 204 ++++++++++++++++++++++++++++++-
 2 files changed, 203 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 5b8b0131..6514953a 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
@@ -49,3 +49,6 @@
 20240125-102216
 023738:023743,017707,023744:023746
 
+20240125-102759
+013655,023747:023755
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 6feb30ad..c5abd5cc 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -142768,7 +142768,9 @@
             "20220709\t朱敏慧\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023751"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -409120,7 +409122,9 @@
             "20230312\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023752"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -475360,7 +475364,9 @@
             "20230602\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023748"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -522830,7 +522836,9 @@
             "20230730\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "023753"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -641277,6 +641285,194 @@
         "space": "4em",
         "unrelated": []
     },
+    "023747": {
+        "id": "023747",
+        "content": "某射手射击一次, 击中目标的概率是 $0.9$, 他连续射击 $4$ 次, 且各次射击是否击中目标相互之间没有影响, 有下列结论: \\textcircled{1} 他第 $3$ 次击中目标的概率是 $0.9$; \\textcircled{2} 他恰好击中目标 $3$ 次的概率是 $0.9^3 \\times 0.1$; \\textcircled{3} 他至少击中目标 $1$ 次的概率是 $1-0.1^4$, 其中正确结论的序号为\\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": []
+    },
+    "023748": {
+        "id": "023748",
+        "content": "设甲、乙、丙三个地区爆发了某种流行病, 三个地区感染此病的比例分别为 $\\dfrac{1}{7}, \\dfrac{1}{5},\\dfrac{1}{4}$. 若从这三个地区任意抽取一个人, 则此人感染此病的概率为\\blank{50}.(结果保留三位小数).",
+        "objs": [],
+        "tags": [],
+        "genre": "填空题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "017516"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023749": {
+        "id": "023749",
+        "content": "若随机变量 $X$ 的分布为 $\\begin{pmatrix}1 & 2 & 3 & 4 \\\\ \\dfrac{1}{3}& m & \\dfrac{1}{4}& \\dfrac{1}{6}\\end{pmatrix}$, 则 $P(|X-3|=1)=$\\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": []
+    },
+    "023750": {
+        "id": "023750",
+        "content": "甲、乙两工人在一天生产中出现的废品数分别是两个随机变量 $X$、$Y$, 其分布分别为: $\\begin{pmatrix}0 & 1 & 2 & 3 \\\\ 0.4 & 0.3 & 0.2 & 0.1\\end{pmatrix}$、$\\begin{pmatrix}0 & 1 & 2 \\\\ 0.3 & 0.5 & 0.2\\end{pmatrix}$, 若甲、乙两人的日产量相等, 则甲、乙两人中技术较好的是\\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": []
+    },
+    "023751": {
+        "id": "023751",
+        "content": "在一次招聘中, 主考官要求应聘者从 $6$ 道备选题中一次性随机抽取 $3$ 道题, 并独立完成所抽取的 $3$ 道题.甲能正确完成每道题的概率为 $\\dfrac{2}{3}$, 且每道题完成与否互不影响. 若甲能答对的题数为 $Y$, 则 $Y$ 的数学期望为\\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": [
+            "004604"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023752": {
+        "id": "023752",
+        "content": "从 $1$、$2$、$3$、$4$、$5$ 中任取 $2$ 个不同的数, 若事件 $A$ 为``取到的 $2$ 个数之和为偶数'', 事件 $B$ 为``取到的 $2$ 个数均为偶数'', 则 $P(B | A)$ 等于\\bracket{20}.\n\\fourch{$\\dfrac{1}{8}$}{$\\dfrac{1}{4}$}{$\\dfrac{2}{5}$}{$\\dfrac{1}{2}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "014713"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023753": {
+        "id": "023753",
+        "content": "若 $0<a<1$, 随机变量 $X$ 的分布是 $\\begin{pmatrix}0 & a & 1 \\\\ \\dfrac{1}{3}& \\dfrac{1}{3}& \\dfrac{1}{3}\\end{pmatrix}$, 则当 $a$ 在 $(0,1)$ 上增大时, 有\\bracket{20}.\n\\fourch{$D[X]$ 增大}{$D[X]$ 减小}{$D[X]$ 先增大后减小}{$D[X]$ 先减小后增大}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "019644"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "023754": {
+        "id": "023754",
+        "content": "袋中装有黑球和白球共 $7$ 个, 从中任取 $2$ 个球都是白球的概率为 $\\dfrac{1}{7}$, 现有甲、乙两人从袋中轮流摸取 $1$ 球, 甲先取, 乙后取, 然后甲再取 $\\cdots \\cdots$ 取后不放回, 直到两人中有一人取到白球时终止, 每个球在每一次被取出的机会是等可能的.\\\\\n(1) 求袋中原有的白球的个数;\\\\\n(2) 求取球 $2$ 次终止的概率;\\\\\n(3) 求甲取到白球的概率.",
+        "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": []
+    },
+    "023755": {
+        "id": "023755",
+        "content": "PM2.5 是指大气中直径小于或等于 $2.5 \\mu \\mathrm{m}$ 的颗粒物, 也称为可入肺颗粒物. 某地环境标准规定 PM2.5 日均值在 $35 \\mu \\mathrm{g}/ \\mathrm{m}^3$ 以下空气质量为一级; 在 $35 \\sim 75 \\mu \\mathrm{g}/ \\mathrm{m}^3$ 之间空气质量为二级; 在 $75 \\mu \\mathrm{g}/ \\mathrm{m}^3$ 以上空气质量为超标. 某试点城市环保局从该市市区 2021 年全年每天的 PM2.5 监测数据中随机抽取 $15$ 天的数据作为样本, 监测值如茎叶图所示(十位为茎, 个位为叶).\n\\begin{center}\n\\begin{tabular}{c|ccccc} \n& \\multicolumn{5}{c}{PM2.5 日均值 ($\\mu \\mathrm{g}/ \\mathrm{m}^3$)}\\\\\n\\hline 2 & 8 & 5 \\\\\n3 & 7 & 1 & 4 & 3 \\\\\n4 & 4 & 5  \\\\\n6 & 3 & 8 & & \\\\\n7 & 9  \\\\\n8 & 6 & 3  \\\\\n9 & 2 & 5 \\\\\n\\end{tabular}\n\\end{center}\n(1) 从这 $15$ 天的 PM2.5 日均监测数据中随机抽出三天, 求恰有一天空气质量达到一级的概率;\\\\\n(2) 从这 $15$ 天的数据中任取三天的数据, 记 $X$ 表示抽到 PM2.5 监测数据超标的天数, 求 $X$ 的分布和数学期望.",
+        "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) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",