diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index fb4c4e7e..7d3ea9dd 100644 --- a/题库0.3/Problems.json +++ b/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": []