diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 12528279..5c48f933 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -550891,7 +550891,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022938" + ], "remark": "", "space": "", "unrelated": [] @@ -550979,7 +550981,9 @@ "20221231\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022938" + ], "remark": "", "space": "4em", "unrelated": [] @@ -612408,6 +612412,32 @@ "space": "4em", "unrelated": [] }, + "022938": { + "id": "022938", + "content": "已知数列$\\{a_n\\}$满足: $a_1=1$, $a_2=4$, $a_{n+2}=a_{n+1}-a_{n}$.\\\\\n(1) 写出这个数列的前$8$项;\\\\\n(2) 根据第(1)题的结论, 猜想这个数列的项所具有的特征, 并给予证明.", + "objs": [], + "tags": [ + "第四单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一校本作业选择性必修第四章-20231211修改", + "edit": [ + "20221231\t王伟叶", + "20231211\t王伟叶" + ], + "same": [], + "related": [ + "020793", + "020789" + ], + "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