From fab2ecccfbf86f0f1d4e228f65b00958a9aa0a83 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Thu, 25 Jan 2024 14:24:49 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=B8=89=E5=AF=92?= =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A64=E6=96=B0=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具v2/文本文件/新题收录列表.txt | 3 + 题库0.3/Problems.json | 135 ++++++++++++++++++++++++++++++- 2 files changed, 135 insertions(+), 3 deletions(-) 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 70b3c5f9..724e13f3 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 @@ -190,3 +190,6 @@ 20240125-141926 024108,020814,024109:024111,000315,024112 +20240125-142435 +024113:024114,012920,024115,022535,024116:024117,022570,024118 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 1c7fc13a..c2a78182 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -102675,7 +102675,8 @@ ], "same": [], "related": [ - "023494" + "023494", + "024118" ], "remark": "", "space": "4em", @@ -197166,7 +197167,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024116" + ], "remark": "", "space": "", "unrelated": [] @@ -635482,7 +635485,8 @@ ], "same": [], "related": [ - "003264" + "003264", + "024118" ], "remark": "", "space": "4em", @@ -649138,6 +649142,131 @@ "space": "4em", "unrelated": [] }, + "024113": { + "id": "024113", + "content": "已知 $\\{a_n\\}$ 是各项均为正数的等比数列, 且 $a_1+a_2=3$, $a_3-a_2=2$, 则数列 $\\{a_n\\}$ 的通项公式 $a_n=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024114": { + "id": "024114", + "content": "等差数列 $\\{b_n\\}$ 的前 $n$ 项和为 $S_n$, 且 $b_3=5$, $S_4=16$, 则数列 $\\{b_n\\}$ 的通项公式 $b_n=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024115": { + "id": "024115", + "content": "若等比数列前三项之和为 $6$, 前六项之和为 $-42$, 则首项 $a_1=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024116": { + "id": "024116", + "content": "某人从 2017 年 1 月 2 日起, 每年 1 月 2 日到银行存人一万元定期储蓄, 若年利率为 $p$, 且保持不变, 并约定每年到期存款均自动转为新一年的定期存款, 到 2025 年 1 月 2 日将所有存款和利息全部取回, 则可取回的钱的总数为\\blank{50}万元.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "006761" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024117": { + "id": "024117", + "content": "等差数列 $\\{a_n\\}$ 中, 若 $|a_3|=|a_9|$, $d<0$, 则使得它的前 $n$ 项之和 $S_n$ 取得最大值时的自然数 $n$ 是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024118": { + "id": "024118", + "content": "已知数列 $\\{a_n\\}$ 的前 $n$ 项和为 $S_n=n^2-8 n$.\\\\\n(1) 求数列 $\\{|a_n|\\}$ 的通项公式;\\\\\n(2) 求数列 $\\{|a_n|\\}$ 的前 $n$ 项和 $H_n$.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240125\t毛培菁" + ], + "same": [], + "related": [ + "003264", + "023494" + ], + "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