From ab4fc4a7f01bdb3d85c0fb6f90fa5f32d86651e0 Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Mon, 4 Dec 2023 15:05:43 +0800
Subject: [PATCH] =?UTF-8?q?=E6=8B=86=E5=88=86=E9=A2=98=E7=9B=AE=E5=B9=B6?=
 =?UTF-8?q?=E4=BD=9C=E5=85=B3=E8=81=94?=
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---
 题库0.3/Problems.json | 53 ++++++++++++++++++++++++++++++++++++++++---
 1 file changed, 50 insertions(+), 3 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 0c617c6c..ba88be5e 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -297246,7 +297246,10 @@
             "20220806\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022192",
+            "022193"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -591628,7 +591631,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "010747"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -591661,7 +591666,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "010747"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -609957,6 +609964,46 @@
         "space": "4em",
         "unrelated": []
     },
+    "022912": {
+        "id": "022912",
+        "content": "设数列$\\{a_n\\}$为等差数列, 其前$n$项和为$S_n$.\\\\\n(1) 已知$a_4+a_{14}=1$, 求$S_{17}$;\\\\\n(2) 已知$S_{21}=420$, 求$a_{11}$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231204\t王伟叶"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "4em",
+        "unrelated": []
+    },
+    "022913": {
+        "id": "022913",
+        "content": "设数列$\\{a_n\\}$为等差数列, 其前$n$项和为$S_n$.\\\\\n(1) 已知$a_1+a_2+a_3=-3$, $a_{18}+a_{19}+a_{20}=6$, 求$S_{20}$;\\\\\n(2) 已知$S_4=2$, $S_8=6$, 求$S_{16}$.",
+        "objs": [],
+        "tags": [],
+        "genre": "解答题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231204\t王伟叶"
+        ],
+        "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.",