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收录2024届周末卷07新题

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weiye.wang 2024-04-08 21:10:40 +08:00
parent 9df2ca1db1
commit f08f0196b4
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3
工具v2/文本文件/新题收录列表.txt
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@ -481,3 +481,6 @@
20240408-162741
024753
20240408-211004 高三周末卷07
030597,030970,030850,032195,030999,015127,032196,024355,031125,030952,015111,015133,031106,030991,032197:032198,031047,030806,032199,031092,030736

144
题库0.3/Problems.json
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@ -156521,7 +156521,8 @@
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"024373",
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@ -336172,7 +336173,8 @@
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@ -469898,7 +469900,9 @@
"20230414\t王伟叶"
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@ -592602,7 +592606,8 @@
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@ -733683,7 +733688,8 @@
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@ -771916,7 +771922,9 @@
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@ -772358,7 +772366,9 @@
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@ -813156,6 +813166,126 @@
"space": "4em",
"unrelated": []
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"032195": {
"id": "032195",
"content": "$(1-2 x)^4$ 的二项展开式中 $x^2$ 项的系数为 (结果用数字作答) .",
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"genre": "解答题",
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"duration": -1,
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"edit": [
"20240408\t毛培菁"
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"004686"
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"space": "4em",
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"032196": {
"id": "032196",
"content": "设 $\\overrightarrow{a}=(\\sin 2 x, 2 \\cos x)$, $\\overrightarrow{b}=(\\sqrt{3}, \\cos x)$, 则函数 $f(x)=\\overrightarrow{a}\\cdot \\overrightarrow{b}-1$ 在 $[-\\dfrac{\\pi}{2}, \\dfrac{\\pi}{2}]$ 上的严格増区间为\\blank{50}.",
"objs": [],
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"genre": "填空题",
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"duration": -1,
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"same": [
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"remark": "",
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"032197": {
"id": "032197",
"content": "若函数 $f(x)=|2^x-a|$ 满足对任意 $x_1, x_2 \\in[0,1]$, 当 $x_1 \\neq x_2$ 时, 恒有 $f(x_1) \\neq f(x_2)$, 则常数 $a$ 的取值范围为\\bracket{20}.\n\\fourch{($-\\infty, 1]$}{$[1,2]$}{$[2,+\\infty$)}{$(-\\infty, 1] \\cup[2,+\\infty)$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
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"edit": [
"20240408\t毛培菁"
],
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"space": "",
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},
"032198": {
"id": "032198",
"content": "已知函数 $f(x)=\\sin x+a \\cos x$ 满足 $f(x) \\leq f(\\dfrac{\\pi}{6})$ 对任意 $x \\in \\mathbf{R}$ 恒成立. 若函数 $y=f(x)$ 在 $[x_1, x_2]$ 上严格单调, 且 $f(x_1)+f(x_2)=0$, 则 $|x_1+x_2|$ 的最小值为\\bracket{20}.\n\\fourch{$\\dfrac{\\pi}{6}$}{$\\dfrac{\\pi}{3}$}{$\\dfrac{2 \\pi}{3}$}{$\\dfrac{4 \\pi}{3}$}.",
"objs": [],
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"032199": {
"id": "032199",
"content": "某车间甲组有 10 名工人, 其中有 4 名女工人; 乙组有 5 名工人, 其中有 3 名女工人. 现采用分层抽样方法 (层内采用不放回简单随机抽样) 从甲、乙两组中共抽取 3 名工人进行技术考核.\\\\\n(1) 求从甲组抽取的工人中恰有 1 名女工人的概率;\\\\\n(2) 记 $X$ 表示抽取的 3 名工人中男工人数, 求 $X$ 的分布及数学期望.",
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"genre": "解答题",
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"solution": "",
"duration": -1,
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"space": "4em",
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"040001": {
"id": "040001",
"content": "参数方程$\\begin{cases}x=3 t^2+4, \\\\ y=t^2-2\\end{cases}$($0 \\leq t \\leq 3$)所表示的曲线是\\bracket{20}.\n\\fourch{一支双曲线}{线段}{圆弧}{射线}",