From 69ca8295d9716a1699cbd141bd9e5bf062b102b0 Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Sat, 3 Feb 2024 22:05:26 +0800 Subject: [PATCH] =?UTF-8?q?=E6=94=B6=E5=BD=95=E9=AB=98=E4=BA=8C=E5=AF=92?= =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A1=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 | 172 +++++++++++++++++++++++++++++-- 2 files changed, 169 insertions(+), 6 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 dbfefcbf..91983b3a 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 @@ -313,3 +313,6 @@ 20240131-164456 024412,030659,000737,024413:024414,011267,024415:024417,017631 +20240203-220459 高二寒假作业1 +024418:024422,017769,024423:024424 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 98ba44a1..64793b55 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -109251,7 +109251,8 @@ ], "same": [], "related": [ - "000341" + "000341", + "024423" ], "remark": "", "space": "", @@ -258689,7 +258690,9 @@ "same": [ "020919" ], - "related": [], + "related": [ + "024421" + ], "remark": "", "space": "", "unrelated": [] @@ -272873,7 +272876,9 @@ "20220730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024421" + ], "remark": "", "space": "4em", "unrelated": [] @@ -293554,7 +293559,9 @@ "20220806\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024420" + ], "remark": "", "space": "4em", "unrelated": [] @@ -564529,7 +564536,9 @@ "same": [ "009147" ], - "related": [], + "related": [ + "024421" + ], "remark": "", "space": "", "unrelated": [] @@ -661594,6 +661603,155 @@ "space": "", "unrelated": [] }, + "024418": { + "id": "024418", + "content": "一条直线与直线外四点, 它们最多可确定\\blank{50}个平面, 最少可确定\\blank{50}个平面.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024419": { + "id": "024419", + "content": "正方体 $ABCD-A_1B_1C_1D_1$ 的棱长为 $a$, 那么:\\\\\n(1) 哪些棱所在直线与直线 $BA_1$ 成异面直线?\\blank{50}.\\\\\n(2) 直线 $BA_1$ 与 $CC_1$ 所成角的大小为\\blank{50}.\\\\\n(3) 直线 $BA_1$ 与 $B_1C$ 所成角的大小为\\blank{50}.\\\\\n(4) 异面直线 $BC$ 与 $AA_1$ 的距离为\\blank{50}.\\\\\n(5) 异面直线 $BA_1$ 与 $CC_1$ 的距离是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024420": { + "id": "024420", + "content": "在空间四边形 $ABCD$ 中, $E$、$F$、$G$、$H$ 分别是边 $AB$、$BC$、$CD$、$DA$ 的中点.\\\\\n(1) 若 $AC=BD$, 则 $EFGH$ 是\\blank{50};\\\\\n(2) 若 $AC \\perp BD$, 则 $EFGH$ 是\\blank{50}形;\\\\\n(3) 若 $AC=BD$ 且 $AC \\perp BD$, 则 $EFGH$ 是\\blank{50}形.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [ + "010455" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024421": { + "id": "024421", + "content": "设正方体 $ABCD-A_1B_1C_1D_1$ 的棱长为 $\\mathbf{1}$, 那么,\\\\\n(1) $A$ 点到 $CD_1$ 的距离为\\blank{50}.\\\\\n(2) $A$ 点到 $BD_1$ 的距离为\\blank{50}.\\\\\n(3) $A$ 点到面 $BDD_1B_1$ 的距离为\\blank{50}.\\\\\n(4) $A$ 点到面 $A_1BD$ 的距离为\\blank{50}.\\\\\n(5) $AA_1$ 与面 $BDD_1B_1$ 的距离为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [ + "009147", + "020919", + "009698" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024422": { + "id": "024422", + "content": "长方体 $AC_1$ 中, 对角线 $BD_1$ 与棱 $BA$、$BC$ 所成的角分别为 $60^{\\circ}$、$45^{\\circ}$, 则对角线 $BD_1$ 与 $BB_1$ 所成的角的大小为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024423": { + "id": "024423", + "content": "在长方体 $ABCD-A_1B_1C_1D_1$ 中, $AB=BC=2$, $AA_1=1$, 则 $BC_1$ 与平面 $BB_1D_1D$ 所成角的大小为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [ + "003488", + "031552" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024424": { + "id": "024424", + "content": "$A$、$B$ 两点相距 $4 \\mathrm{cm}$, 且 $A$、$B$ 与平面 $\\alpha$ 的距离分别为 $3 \\mathrm{cm}$ 和 $1 \\mathrm{cm}$, 则 $AB$ 与平面 $\\alpha$ 所成的角的大小是\\bracket{20}.\n\\fourch{$30^{\\circ}$}{$90^{\\circ}$}{$30^{\\circ}$ 或 $90^{\\circ}$}{$30^{\\circ}$ 或 $90^{\\circ}$ 或 $150^{\\circ}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240203\t杨懿荔" + ], + "same": [], + "related": [], + "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