diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt index 85784882..80ef9aa8 100644 --- a/工具v2/文本文件/新题收录列表.txt +++ b/工具v2/文本文件/新题收录列表.txt @@ -445,3 +445,6 @@ 20240318-142739 024729 +20240319-151757 高一下学期随堂练习05 +024730:024738 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 2a6d8a66..6763abe0 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -49996,7 +49996,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024737" + ], "remark": "", "space": "4em", "unrelated": [] @@ -51071,7 +51073,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024731" + ], "remark": "", "space": "4em", "unrelated": [] @@ -91655,7 +91659,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024737" + ], "remark": "", "space": "", "unrelated": [] @@ -181857,7 +181863,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024734" + ], "remark": "", "space": "", "unrelated": [] @@ -238283,7 +238291,8 @@ "related": [ "008289", "008286", - "008287" + "008287", + "024738" ], "remark": "", "space": "4em", @@ -238310,7 +238319,8 @@ "008288", "000123", "008286", - "008287" + "008287", + "024738" ], "remark": "", "space": "4em", @@ -490981,7 +490991,9 @@ "20230606\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024735" + ], "remark": "", "space": "", "unrelated": [] @@ -686892,6 +686904,200 @@ "space": "4em", "unrelated": [] }, + "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}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "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": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [ + "001526" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024732": { + "id": "024732", + "content": "函数$y=\\sin x \\cos x$ 的严格增区间是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "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": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024734": { + "id": "024734", + "content": "若函数 $y=\\sin (55 x+\\varphi-\\dfrac{\\pi}{3})$ 是偶函数, 则 $\\varphi=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [ + "031553", + "006051" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024735": { + "id": "024735", + "content": "函数 $y=\\ln (2 \\sin x-\\sqrt{3})$ 的定义域是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [ + "040675", + "017625" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "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": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "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}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [ + "001493", + "002869" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "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.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240319\t朱敏慧" + ], + "same": [], + "related": [ + "008288", + "008289" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, "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