diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 0b8e492a..01a858fe 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -496622,7 +496622,9 @@ "20230705\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024273" + ], "remark": "", "space": "4em", "unrelated": [] @@ -658382,6 +658384,31 @@ "space": "", "unrelated": [] }, + "024273": { + "id": "024273", + "content": "填写下表.\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|}\n\\hline 角$\\alpha$& 0 &$\\dfrac{\\pi}{2}$&$\\pi$&$\\dfrac{3 \\pi}{2}$\\\\\n\\hline$\\sin \\alpha$& & & & \\\\\n\\hline$\\cos \\alpha$& & & & \\\\\n\\hline$\\tan \\alpha$& & & & \\\\\n\\hline$\\cot \\alpha$& & & & \\\\\n\\hline\n\\end{tabular}\n\\end{center}", + "objs": [], + "tags": [ + "第三单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "空中课堂必修第二册三角例题与习题-20240131修改", + "edit": [ + "20230705\t王伟叶", + "20240131\t王伟叶" + ], + "same": [], + "related": [ + "018332" + ], + "remark": "", + "space": "", + "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