录入2024届高三基础赋能卷2部分题目

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weiye.wang 2023-10-28 14:11:40 +08:00
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"019900": {
"id": "019900",
"content": "计算: $\\displaystyle\\lim _{n \\to+\\infty}(1-\\dfrac{1}{n})=$\\blank{50}.",
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"genre": "填空题",
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"duration": -1,
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"origin": "自拟题目",
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"20231028\t毛培菁"
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"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",
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"duration": -1,
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"edit": [
"20231028\t毛培菁"
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"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": "",
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"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231028\t毛培菁"
],
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},
"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"
],
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},
"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}",
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"tags": [],
"genre": "选择题",
"ans": "",
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"duration": -1,
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"origin": "自拟题目",
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"20231028\t毛培菁"
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"020001": { "020001": {
"id": "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.", "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.",