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录入2024届高三基础赋能卷09部分题目

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wangweiye7840 2023-11-03 18:08:23 +08:00
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commit 26dc61d4a2
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166
题库0.3/Problems.json
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@ -18673,7 +18673,8 @@
"008484",
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@ -32562,7 +32563,9 @@
"20220625\t王伟叶"
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@ -331198,7 +331201,9 @@
"20221209\t王伟叶"
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@ -336408,7 +336413,9 @@
"20221212\t王伟叶"
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@ -521004,6 +521011,153 @@
"space": "",
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},
"019964": {
"id": "019964",
"content": "抛物线 $y^2=4 x$ 的准线方程是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231103\t毛培菁"
],
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"related": [
"000979",
"031118",
"012354"
],
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},
"019965": {
"id": "019965",
"content": "计算: $\\displaystyle\\lim_{n\\to+\\infty}\\dfrac{2 n-1}{3 n+2}=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231103\t毛培菁"
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"000546",
"012183"
],
"remark": "",
"space": "",
"unrelated": []
},
"019966": {
"id": "019966",
"content": "已知 $\\sin \\alpha=\\dfrac{\\sqrt{5}}{5}$, 则 $\\sin ^4 \\alpha-\\cos ^4 \\alpha$ 的值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"edit": [
"20231103\t毛培菁"
],
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"remark": "",
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},
"019967": {
"id": "019967",
"content": "等比数列 $\\{a_n\\}$ 的首项 $a_1=1$, 公比为 $\\dfrac{1}{3}$, 则 $\\displaystyle\\lim _{n \\to+\\infty}(a_1+a_3+a_5+\\cdots a_{2 n-1})=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231103\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"019968": {
"id": "019968",
"content": "已知 $\\cos \\alpha-\\sin \\alpha=\\dfrac{\\sqrt{2}}{3}$, 则 $\\cos (\\dfrac{\\pi}{2}-2 \\alpha)=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231103\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
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"unrelated": []
},
"019969": {
"id": "019969",
"content": "在复平面内, 复数 $z=\\sin 2+\\mathrm{i}\\cos 2$ ($\\mathrm{i}$ 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": [
"20231103\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"019970": {
"id": "019970",
"content": "已知椭圆的标准方程为 $\\dfrac{x^2}{16}+\\dfrac{y^2}{4}=1$, 则其焦距为\\bracket{20} .\n\\fourch{$\\sqrt{2}$}{$2 \\sqrt{2}$}{$2 \\sqrt{3}$}{$4 \\sqrt{3}$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20231103\t毛培菁"
],
"same": [],
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"remark": "",
"space": "",
"unrelated": []
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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.",
@ -625402,7 +625556,9 @@
"20230108\t王伟叶"
],
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