From a889155255c8b9233a8e7b1109a014f1a34d44f0 Mon Sep 17 00:00:00 2001
From: wangweiye7840 <kj_wangweiye@126.com>
Date: Mon, 18 Dec 2023 15:08:52 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E5=85=B3=E8=81=94=E9=A2=98?=
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---
 题库0.3/Problems.json | 29 ++++++++++++++++++++++++++++-
 1 file changed, 28 insertions(+), 1 deletion(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 3694dc22..98c72147 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -552165,7 +552165,9 @@
             "20221231\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022953"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -613650,6 +613652,31 @@
         "space": "4em",
         "unrelated": []
     },
+    "022953": {
+        "id": "022953",
+        "content": "已知数列$\\{a_n\\}$满足$(a_{n+1}-a_n)^2-2(a_{n+1}+a_n)+1=0$, 且$a_1=1$, $a_{n+1} \\geq a_n$($n$为正整数).\\\\\n(1) 求$a_2,a_3,a_4$的值;\\\\\n(2) 猜想$\\{a_n\\}$的通项公式, 并用数学归纳法证明.",
+        "objs": [],
+        "tags": [
+            "第四单元"
+        ],
+        "genre": "4em",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一校本作业选择性必修第四章-20231218修改",
+        "edit": [
+            "20221231\t王伟叶",
+            "20231218\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "020820"
+        ],
+        "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.",