From 43cb317d45b6c46934087f02372cf118910e82ef Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Fri, 17 Nov 2023 20:11:21 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=B8=A4=E9=81=93=E5=85=B3?=
 =?UTF-8?q?=E8=81=94=E9=A2=98?=
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---
 题库0.3/Problems.json | 67 +++++++++++++++++++++++++++++++++++++++++--
 1 file changed, 65 insertions(+), 2 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index caba972d..a4bf9e1f 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -71358,7 +71358,8 @@
         ],
         "same": [],
         "related": [
-            "003382"
+            "003382",
+            "022766"
         ],
         "remark": "",
         "space": "",
@@ -291449,7 +291450,9 @@
             "20220806\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022765"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -601825,6 +601828,66 @@
         "space": "4em",
         "unrelated": []
     },
+    "022765": {
+        "id": "022765",
+        "content": "直线$l$经过点$P(-2, 1)$, 在$x$轴、$y$轴上的截距分别为$a$、$b$. 已知$a+b=\\dfrac{14}{3}$, 求直线$l$的方程.",
+        "objs": [
+            "K0702001X",
+            "K0702002X"
+        ],
+        "tags": [
+            "第七单元",
+            "直线",
+            "2023届高三-第一轮复习讲义-34-直线及其方程"
+        ],
+        "genre": "4em",
+        "ans": "$3x-y+7=0$或$x+6y-4=0$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "新教材选择性必修第一册习题-20231117修改",
+        "edit": [
+            "20220806\t王伟叶",
+            "20231117\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "010603"
+        ],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022766": {
+        "id": "022766",
+        "content": "若方程$a^2x^2+(2a+3)y^2+2ax+a-3=0$表示圆, 则实数$a$的值为\\blank{50}.",
+        "objs": [
+            "K0710002X"
+        ],
+        "tags": [
+            "第七单元",
+            "圆",
+            "2023届高三-第一轮复习讲义-35-圆及曲线方程"
+        ],
+        "genre": "",
+        "ans": "$-1$或$3$",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2016届创新班作业\t3154-圆的标准方程与一般方程-20231117修改",
+        "edit": [
+            "20220625\t王伟叶",
+            "20231117\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "003382",
+            "002250"
+        ],
+        "remark": "",
+        "space": "",
+        "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.",