添加关联题

题库0.3/Problems.json

@@ -550891,7 +550891,9 @@
             "20221231\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022938"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -550979,7 +550981,9 @@
             "20221231\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022938"
+        ],
         "remark": "",
         "space": "4em",
         "unrelated": []
@@ -612408,6 +612412,32 @@
         "space": "4em",
         "unrelated": []
     },
+    "022938": {
+        "id": "022938",
+        "content": "已知数列$\\{a_n\\}$满足: $a_1=1$, $a_2=4$, $a_{n+2}=a_{n+1}-a_{n}$.\\\\\n(1) 写出这个数列的前$8$项;\\\\\n(2) 根据第(1)题的结论, 猜想这个数列的项所具有的特征, 并给予证明.",
+        "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-20231211修改",
+        "edit": [
+            "20221231\t王伟叶",
+            "20231211\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "020793",
+            "020789"
+        ],
+        "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.",