From 4968dd09c44a247c9b0b238a6ca64b58691f35d5 Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Thu, 25 Jan 2024 13:56:58 +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=9A57=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            | 192 ++++++++++++++++++++++++++++++-
 2 files changed, 193 insertions(+), 2 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 ece6536f..f71f04be 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
@@ -169,3 +169,6 @@
 20240125-135214
 024049:024057
 
+20240125-135645
+024058:024066
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 871cf3c5..afe3a0a9 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -157599,7 +157599,9 @@
             "20220720\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024058"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -476403,7 +476405,9 @@
             "20230606\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "024063"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -647981,6 +647985,190 @@
         "space": "4em",
         "unrelated": []
     },
+    "024058": {
+        "id": "024058",
+        "content": "若不等式 $a x^2+b x+c>0$($a$、$b$、$c \\in \\mathbf{R}$) 的解集是 $\\{x | 2<x<5\\}$, 则不等式 $c x^2+b x+a<0$ 的解集是\\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": [
+            "005153"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024059": {
+        "id": "024059",
+        "content": "若不等式 $x^2-a x+1 \\leq 1$ 有唯一解, 则实数 $a$ 的取值集合为\\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": []
+    },
+    "024060": {
+        "id": "024060",
+        "content": "不等式 $\\dfrac{3-2 x}{2-3 x}\\leq 1$ 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": []
+    },
+    "024061": {
+        "id": "024061",
+        "content": "关于 $x$ 的方程 $5 x-2 k=k x-x-4$ 的解集在区间 $(0,6)$ 内, 则实数 $k$ 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": []
+    },
+    "024062": {
+        "id": "024062",
+        "content": "问题``求不等式 $3^x+4^x\\leq 5^x$ 的解''有如下的思路: 不等式 $3^x+4^x\\leq 5^x$ 可变为 $(\\dfrac{3}{5})^x+(\\dfrac{4}{5})^x\\leq 1$, 考察函数 $f(x)=(\\dfrac{3}{5})^x+(\\dfrac{4}{5})^x$ 可知, 函数 $f(x)$ 在 $\\mathbf{R}$ 上是严格减函数, 且 $f(2)=1$, 所以原不等式的解集是 $[2,+\\infty)$. 仿照此解法可得到不等式: $x^3-(2 x+3)>(2 x+3)^3-x$ 的解集是\\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": []
+    },
+    "024063": {
+        "id": "024063",
+        "content": "若全集 $U=\\mathbf{R}$, $f(x)$、$g(x)$ 均为 $x$ 的二次函数, $P=\\{x | f(x)<0\\}$, $Q=\\{x | g(x) \\geq 0\\}$, 则不等式组 $\\begin{cases}f(x)<0,\\\\g(x)<0\\end{cases}$ 的解集可用 $P$、$Q$ 表示为 \\bracket{20}.\n\\fourch{$P \\cap Q$}{$P \\cap \\overline{Q}$}{$P \\cup Q$}{$P \\cup \\overline{Q}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "017555"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024064": {
+        "id": "024064",
+        "content": "若 $a$、$b$、$c$ 是实常数, 则``$a>0$ 且 $b^2-4 a c<0$''是``对任意 $x \\in \\mathbf{R}$, 有 $a x^2+b x+c>0$''的\\bracket{20};\n\\twoch{充分非必要条件}{必要非充分条件 }{充要条件}{既非充分又非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240125\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "024065": {
+        "id": "024065",
+        "content": "不等式组 $\\begin{cases}|1-2 x|>3,\\\\x^2+x-6 \\leq 0\\end{cases}$ 的解集是\\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": []
+    },
+    "024066": {
+        "id": "024066",
+        "content": "解关于 $x$ 的不等式: $x^2-(a+a^2) x+a^3>0$($a \\in \\mathbf{R}$).",
+        "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.",