diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index e0dca0b8..f35eef65 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -518946,6 +518946,106 @@ "space": "", "unrelated": [] }, + "019900": { + "id": "019900", + "content": "计算: $\\displaystyle\\lim _{n \\to+\\infty}(1-\\dfrac{1}{n})=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231028\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019901": { + "id": "019901", + "content": "设 $m \\in \\mathbf{R}$. 已知集合 $A=\\{1,2, m\\}$, $B=\\{3,4\\}$. 若 $A \\cap B=\\{3\\}$, 则 $m=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231028\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019902": { + "id": "019902", + "content": "已知 $\\{a_n\\}$ 为等差数列, $d$ 是公差. 若 $a_1+a_9=18$, $a_4=7$, 则 $d=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231028\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019903": { + "id": "019903", + "content": "若将一颗质地均匀的骰子先后抛掷 $2$ 次, 则出现向上的点数之和为 $4$ 的概率是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231028\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019904": { + "id": "019904", + "content": "在复平面内, 复数 $z=\\dfrac{2-\\mathrm{i}}{\\mathrm{i}}$ (其中 $\\mathrm{i}$ 为虚数单位) 对应的点位于\\bracket{20}.\n\\fourch{第一象限}{第二象限}{第三象限}{第四象限}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20231028\t毛培菁" + ], + "same": [], + "related": [], + "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.",