From 6bfa404e42387cbd149773fa7d2b6cbaec4cd3f9 Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Wed, 24 Jan 2024 20:54:44 +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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MIME-Version: 1.0
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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 4e99767c..8bfc0fbd 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
@@ -28,3 +28,6 @@
 20240124-204739
 023695:023702
 
+20240124-205428
+023703:023704
+
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index cd7e4cf6..d296693f 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -640335,6 +640335,46 @@
         "space": "",
         "unrelated": []
     },
+    "023703": {
+        "id": "023703",
+        "content": "在平面直角坐标系 $x O y$ 中, 点 $P$ 到两点 $(0,-\\sqrt{3})$、$(0, \\sqrt{3})$ 的距离之和等于 $4$, 设点 $P$ 的轨迹为 $C$.\\\\\n(1) 求曲线 $C$ 的方程;\\\\\n(2) 设直线 $y=k x+1$ 与 $C$ 交于 $A$、$B$ 两点. $k$ 为何值时 $\\overrightarrow{OA}\\perp \\overrightarrow{OB}$ ? 此时 $|\\overrightarrow{AB}|$ 的值是多少?",
+        "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": []
+    },
+    "023704": {
+        "id": "023704",
+        "content": "已知椭圆 $C$ 的中心为平面直角坐标系 $x O y$ 的原点, 焦点在 $x$ 轴上, 它的一个顶点到两个焦点的距离分别为 $7$ 和 $1$.\\\\\n(1) 求椭圆 $C$ 的方程;\\\\\n(2) 若 $P$ 为椭圆 $C$ 上的动点, $M$ 为过 $P$ 且垂直于 $x$ 轴的直线上的点, $\\dfrac{|OP|}{|OM|}=e$($e$ 为椭圆离心率), 求点 $M$ 的轨迹方程, 并说明轨迹是什么曲线.",
+        "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.",