diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 9d155e39..b02491c7 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -602633,7 +602633,9 @@ "20230905\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022939" + ], "remark": "", "space": "", "unrelated": [] @@ -602833,7 +602835,9 @@ "20230905\t王伟叶" ], "same": [], - "related": [], + "related": [ + "022940" + ], "remark": "", "space": "", "unrelated": [] @@ -613354,6 +613358,52 @@ "space": "4em", "unrelated": [] }, + "022939": { + "id": "022939", + "content": "设等比数列 $\\{a_n\\}$, 的前$n$项和为$S_n$.\\\\\n(1) 若 $a_2=3$, $a_4=27$, 则 $S_{10}=$\\blank{50};\\\\\n(2) 若公比 $q=2$, $S_4=1$, 则 $S_8=$\\blank{50}.\\\\\n(3) 若 $a_1=2$, $a_n=162$, $S_n=242$, 则 $q=$\\blank{50}, $n=$\\blank{50}.\\\\\n(4) 若 $S_5=10$, $S_{10}=40$, 则 $S_{20}=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一上学期周末卷17-20231218修改", + "edit": [ + "20230905\t王伟叶", + "20231218\t王伟叶" + ], + "same": [], + "related": [ + "022555" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "022940": { + "id": "022940", + "content": "等比数列 $\\{a_n\\}$ 的首项 $a_1=2$, 公比 $q=3$, 若数列 $\\{a_n\\}$ 从第 $m$ 项至第 $n$($m| y|$''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