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录入高一下学期随堂练习05新题

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wangweiye7840 2024-03-19 15:18:24 +08:00
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3
工具v2/文本文件/新题收录列表.txt
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@ -445,3 +445,6 @@
20240318-142739
024729
20240319-151757 高一下学期随堂练习05
024730:024738

228
题库0.3/Problems.json
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@ -49996,7 +49996,9 @@
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"space": "4em",
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},
"024730": {
"id": "024730",
"content": "已知$y=\\sin (\\dfrac{k}{2}x+\\dfrac{\\pi}{3})$的最小正周期为$2$, 则实数 $k$ 的值为\\blank{50}.",
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"024731": {
"id": "024731",
"content": "函数$y=\\sin x+\\sqrt{3}\\cos x$, $x \\in(-\\dfrac{\\pi}{3}, \\dfrac{\\pi}{2})$ 的值域为\\blank{50}.",
"objs": [],
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"024732": {
"id": "024732",
"content": "函数$y=\\sin x \\cos x$ 的严格增区间是\\blank{50}.",
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"genre": "填空题",
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"024733": {
"id": "024733",
"content": "函数$y=\\sin x+\\sqrt{3}\\cos x$, $x \\in(-\\dfrac{\\pi}{3}, \\dfrac{\\pi}{2})$ 的值域为\\blank{50}.",
"objs": [],
"tags": [],
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"same": [],
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"remark": "",
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"024734": {
"id": "024734",
"content": "若函数 $y=\\sin (55 x+\\varphi-\\dfrac{\\pi}{3})$ 是偶函数, 则 $\\varphi=$\\blank{50}.",
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"genre": "填空题",
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"024735": {
"id": "024735",
"content": "函数 $y=\\ln (2 \\sin x-\\sqrt{3})$ 的定义域是\\blank{50}.",
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"024736": {
"id": "024736",
"content": "已知 $x \\in(0, \\dfrac{5 \\pi}{6})$, 若关于 $x$ 的方程 $a \\sin x-9=0$ 有且仅有一解, 则实数 $a$ 的取值范围是\\blank{50}.",
"objs": [],
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"024737": {
"id": "024737",
"content": "已知函数 $y=f(x), x \\in \\mathbf{R}$ 的周期是 $2$,当 $x \\in[0,2)$ 时, $f(x)=3^x$ ,则当 $x \\in[4,6)$ 时, $f(x)=$\\blank{50}.",
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"024738": {
"id": "024738",
"content": "用五点法做出函数 $y=3 \\sin (x+\\dfrac{\\pi}{6})+1$ 在一个周期的大致图像.",
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"genre": "解答题",
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"030001": {
"id": "030001",
"content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",
@ -731238,7 +731444,9 @@
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