添加两道关联题

题库0.3/Problems.json

@@ -602633,7 +602633,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022939"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -602833,7 +602835,9 @@
             "20230905\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "022940"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []
@@ -613354,6 +613358,52 @@
         "space": "4em",
         "unrelated": []
     },
+    "022939": {
+        "id": "022939",
+        "content": "设等比数列 $\\{a_n\\}$, 的前$n$项和为$S_n$.\\\\\n(1) 若 $a_2=3$, $a_4=27$, 则 $S_{10}=$\\blank{50};\\\\\n(2) 若公比 $q=2$, $S_4=1$, 则 $S_8=$\\blank{50}.\\\\\n(3) 若 $a_1=2$, $a_n=162$, $S_n=242$, 则 $q=$\\blank{50}, $n=$\\blank{50}.\\\\\n(4) 若 $S_5=10$, $S_{10}=40$, 则 $S_{20}=$\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一上学期周末卷17-20231218修改",
+        "edit": [
+            "20230905\t王伟叶",
+            "20231218\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "022555"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "022940": {
+        "id": "022940",
+        "content": "等比数列 $\\{a_n\\}$ 的首项 $a_1=2$, 公比 $q=3$, 若数列 $\\{a_n\\}$ 从第 $m$ 项至第 $n$($m<n$) 项的和为 720 , 则实数 $m$ 的值为\\blank{50}.",
+        "objs": [],
+        "tags": [],
+        "genre": "",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "2025届高一上学期周末卷17-20231218修改",
+        "edit": [
+            "20230905\t王伟叶",
+            "20231218\t王伟叶"
+        ],
+        "same": [],
+        "related": [
+            "022565"
+        ],
+        "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.",