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录入2024届高三基础赋能卷11部分题目

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weiye.wang 2023-11-03 20:06:25 +08:00
parent 0de122a774
commit 166fc50537
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题库0.3/Problems.json
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@ -402473,7 +402473,9 @@
"20230407\t王伟叶"
],
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@ -521329,6 +521331,190 @@
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"019979": {
"id": "019979",
"content": "函数 $f(x)=\\sin (-2 x)$ 的最小正周期为\\blank{50}.",
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"genre": "填空题",
"ans": "",
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"duration": -1,
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"origin": "自拟题目",
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"20231103\t毛培菁"
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"019980": {
"id": "019980",
"content": "集合 $U=\\mathbf{R}$, 集合 $A=\\{x | x-3>0\\}$, $B=\\{x | x+1>0\\}$, 则 $B \\cap(\\complement_UA)=$\\blank{50}.",
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"20231103\t毛培菁"
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"019981": {
"id": "019981",
"content": "若复数 $z$ 满足 $(1+\\mathrm{i}) z=2 \\mathrm{i}$ ($\\mathrm{i}$ 是虚数单位), 则 $\\overline{z}=$\\blank{50}.",
"objs": [],
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"20231103\t毛培菁"
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"019982": {
"id": "019982",
"content": "方程 $\\ln (9^x+3^x-1)=0$ 的解为\\blank{50}.",
"objs": [],
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"genre": "填空题",
"ans": "",
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"20231103\t毛培菁"
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"019983": {
"id": "019983",
"content": "从某校 $4$ 个班级的学生中选出 $7$ 名学生参加进博会志愿者服务, 若每一个班级至少有一名代表, 则各班的代表数有\\blank{50}种不同的选法. (用数字作答)",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
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"20231103\t毛培菁"
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},
"019984": {
"id": "019984",
"content": "有 $5$ 本不同的书, 其中语文书 $2$ 本, 数学书 $3$ 本. 若将其随机地摆放到书架的同一层上, 则同一科目的书都相邻的概率是\\blank{50}.",
"objs": [],
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"genre": "填空题",
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"duration": -1,
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"20231103\t毛培菁"
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"019985": {
"id": "019985",
"content": "如果无穷等比数列 $\\{a_n\\}$ 所有奇数项的和等于所有项和的 $3$ 倍, 则公比 $q=$\\blank{50}.",
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"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"20231103\t毛培菁"
],
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"019986": {
"id": "019986",
"content": "椭圆 $\\dfrac{x^2}{4}+\\dfrac{y^2}{t}=1$ 上任意一点到其中一个焦点的距离恒大于 $1$, 则实数 $t$ 的取值范围为\\blank{50}.",
"objs": [],
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"genre": "填空题",
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"019987": {
"id": "019987",
"content": "若等式 $1+x+x^2+x^3=a_0+a_1(1-x)+a_2(1-x)^2+a_3(1-x)^3$ 对一切 $x \\in \\mathbf{R}$ 都成立, 其中 $a_0, a_1, a_2, a_3$ 为实常数, 则 $a_0+a_1+a_2+a_3=$\\bracket{20}.\n\\fourch{$2$}{$-1$}{$4$}{$1$}",
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"genre": "选择题",
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"20231103\t毛培菁"
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"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.",
@ -542192,7 +542378,9 @@
"20221231\t王伟叶"
],
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