From 2f496ac9712dcf65cc44b12d19b8ba1c193bd81e Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Wed, 24 Jan 2024 21:45:28 +0800
Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=B8=89=E5=AF=92?=
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---
 工具v2/文本文件/新题收录列表.txt |  3 +++
 题库0.3/Problems.json            | 40 ++++++++++++++++++++++++++++++++
 2 files changed, 43 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 bf0d2803..cc11a547 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
@@ -34,3 +34,6 @@
 20240124-214301
 023705:023712
 
+20240124-214513
+023713:023714
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index dfe0d4b6..f83e1bf8 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -640555,6 +640555,46 @@
         "space": "",
         "unrelated": []
     },
+    "023713": {
+        "id": "023713",
+        "content": "已知双曲线的中心在原点, 焦点 $F_1$、$F_2$ 在坐标轴上, 离心率为 $\\sqrt{2}$, 且过点 $(4,-\\sqrt{10})$, 点 $M(3, m)$ 在双曲线上.\\\\\n(1) 求双曲线的方程;\\\\\n(2) 求证:点 $M$ 在以 $F_1F_2$ 为直径的圆上;\\\\\n(3) 求 $\\Delta F_1MF_2$ 的面积.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240124\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "023714": {
+        "id": "023714",
+        "content": "设 $A$、$B$ 分别为双曲线 $\\dfrac{x^2}{a^2}-\\dfrac{y^2}{b^2}=1$($a>0$, $b>0$) 的左、右顶点, 双曲线的实轴长为 $4 \\sqrt{3}$,焦点到渐近线的距离为 $\\sqrt{3}$.\\\\\n(1) 求双曲线的方程;\\\\\n(2) 已知直线 $y=\\dfrac{\\sqrt{3}}{3}x-2$ 与双曲线的右支交于 $M$、$N$ 两点, 且在双曲线的右支上存在点 $D$, 使 $\\overrightarrow{OM}+\\overrightarrow{ON}=t \\overrightarrow{OD}$, 求 $t$ 的值及点 $D$ 的坐标.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20240124\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.",