录入2026届高三基础赋能卷6A部分题目

题库0.3/Problems.json

@@ -520670,6 +520670,48 @@
         "space": "",
         "unrelated": []
     },
+    "019949": {
+        "id": "019949",
+        "content": "已知无穷等比数列 $\\{a_n\\}$ 的各项之和为 $\\dfrac{3}{2}$, 首项 $a_1=\\dfrac{1}{2}$, 则该数列的公比为\\bracket{20}.\n\\fourch{$\\dfrac{1}{3}$}{$\\dfrac{2}{3}$}{$-\\dfrac{1}{3}$}{$\\dfrac{1}{3}$ 或 $\\dfrac{2}{3}$}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
+    "019950": {
+        "id": "019950",
+        "content": "设 $P_1$、$P_2$、$P_3$、$P_4$ 为空间中的四个不同点, 则``$P_1$、$P_2$、$P_3$、$P_4$ 中有三点在同一条直线上''是``$P_1$、$P_2$、$P_3$、$P_4$ 在同一个平面上''的\\bracket{20}.\n\\twoch{充分非必要条件}{必要非充分条件}{充要条件}{既非充分也非必要条件}",
+        "objs": [],
+        "tags": [],
+        "genre": "选择题",
+        "ans": "",
+        "solution": "",
+        "duration": -1,
+        "usages": [],
+        "origin": "自拟题目",
+        "edit": [
+            "20231103\t毛培菁"
+        ],
+        "same": [],
+        "related": [
+            "020862"
+        ],
+        "remark": "",
+        "space": "",
+        "unrelated": []
+    },
     "020001": {
         "id": "020001",
         "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",
@@ -543800,7 +543842,9 @@
             "20230101\t王伟叶"
         ],
         "same": [],
-        "related": [],
+        "related": [
+            "019950"
+        ],
         "remark": "",
         "space": "",
         "unrelated": []