From 58c3c2cc6ee1a311ead586d4d320c0c7b3bf1d0b Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Thu, 25 Jan 2024 12:32:12 +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=9A44=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            | 120 +++++++++++++++++++++++++++++++
 2 files changed, 123 insertions(+)

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 350fb760..2ce3cb29 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
@@ -130,3 +130,6 @@
 20240125-122954
 004230,023950:023953,011258
 
+20240125-123201
+023954:023956,016816,023957:023959
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 75e8f448..0b5357d3 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -645744,6 +645744,126 @@
         "space": "",
         "unrelated": []
     },
+    "023954": {
+        "id": "023954",
+        "content": "已知球的表面积为 $64 \\pi \\mathrm{cm}^2$, 若用一个平面截球, 使截面圆的半径为 $2 \\mathrm{cm}$, 则截面与球心的距离是\\blank{50} $\\mathrm{cm}$.",
+        "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": []
+    },
+    "023955": {
+        "id": "023955",
+        "content": "若棱长为 $2$ 的正方体的八个顶点在同一球面上, 则此球的表面积为\\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": []
+    },
+    "023956": {
+        "id": "023956",
+        "content": "若三球的半径之比是 $1: 2: 3$, 则半径最大的球体积是其余两球体积和的倍.",
+        "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": []
+    },
+    "023957": {
+        "id": "023957",
+        "content": "把一个表面积为 $16 \\pi \\mathrm{cm}^2$ 的实心铁球铸成一个底面半径与球的半径一样的圆锥, 若没有任何损耗, 则圆锥的高是\\blank{50}$\\mathrm{cm}$.",
+        "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": []
+    },
+    "023958": {
+        "id": "023958",
+        "content": "右图是一个装有水的倒圆锥形杯子, 杯子口径 $6 \\mathrm{cm}$, 高 $8 \\mathrm{cm}$ (不含杯脚), 已知水的高度是 $4 \\mathrm{cm}$, 现往杯子中放入一种直径为 $1 \\mathrm{cm}$ 的珍珠, 该珍珠放入水中后直接沉入杯底, 且体积不变. 若放完珍珠后水不溢出, 则最多可以放入珍珠\\blank{50}颗.\n\\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.3]\n\\draw (0,0) coordinate (O);\n\\draw (-3,8) coordinate (A);\n\\draw (3,8) coordinate (B);\n\\draw (A)--(O)--(B);\n\\draw ($(O)!0.5!(A)$) coordinate (P);\n\\draw (P) arc (180:540:1.5 and {1.5/4});\n\\draw (A) arc (180:540:3 and 0.75);\n\\filldraw (O)--++ (0.1,-0.1) --++ (0,-1.9) --++ (-0.2,0) --++ (0,1.9) -- cycle;\n\\filldraw (0,-2) ellipse (1.5 and {1.5/4});\n\\end{tikzpicture}\n\\end{center}",
+        "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": []
+    },
+    "023959": {
+        "id": "023959",
+        "content": "已知球的半径为 $R$, 在球内作一个内接圆柱, 这个圆柱底面半径与高为何值时, 它的侧面积最大? 侧面积的最大值是多少?",
+        "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.",