From 806df9eb1b888ebc58ead8adc7a95edaa90db27e Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Sun, 4 Feb 2024 14:41:40 +0800 Subject: [PATCH] =?UTF-8?q?=E5=BD=95=E5=85=A5=E9=AB=98=E4=BA=8C=E5=AF=92?= =?UTF-8?q?=E5=81=87=E4=BD=9C=E4=B8=9A10?= 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 | 285 ++++++++++++++++++++++++++++--- 2 files changed, 267 insertions(+), 21 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 8b7881fe..d6f8945f 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 @@ -346,3 +346,6 @@ 20240204-143106 高二寒假作业9 024527:024536,002183,024537 +20240204-144112 高二寒假作业10 +024538:024541,019480,024542:024543,040820,024544:024546,016469 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 2aacc1d0..77dd2f08 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -8387,7 +8387,9 @@ "20220624\t王伟叶, 余利成" ], "same": [], - "related": [], + "related": [ + "024539" + ], "remark": "", "space": "4em", "unrelated": [] @@ -8830,7 +8832,9 @@ "008826", "016468" ], - "related": [], + "related": [ + "024543" + ], "remark": "", "space": "4em", "unrelated": [] @@ -8856,7 +8860,8 @@ ], "same": [], "related": [ - "015319" + "015319", + "024542" ], "remark": "", "space": "4em", @@ -71612,7 +71617,8 @@ ], "same": [], "related": [ - "024158" + "024158", + "024539" ], "remark": "", "space": "", @@ -106034,7 +106040,9 @@ "20220701\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024546" + ], "remark": "", "space": "", "unrelated": [] @@ -249650,7 +249658,8 @@ ], "same": [], "related": [ - "023688" + "023688", + "024544" ], "remark": "", "space": "4em", @@ -250176,7 +250185,9 @@ "same": [ "000259" ], - "related": [], + "related": [ + "024543" + ], "remark": "", "space": "4em", "unrelated": [] @@ -275649,7 +275660,8 @@ ], "same": [], "related": [ - "024158" + "024158", + "024539" ], "remark": "", "space": "4em", @@ -298336,7 +298348,9 @@ "20220806\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024540" + ], "remark": "", "space": "4em", "unrelated": [] @@ -339659,7 +339673,9 @@ "same": [ "004705" ], - "related": [], + "related": [ + "024539" + ], "remark": "", "space": "", "unrelated": [] @@ -391216,7 +391232,9 @@ "20230128\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024543" + ], "remark": "", "space": "", "unrelated": [] @@ -429013,7 +429031,8 @@ ], "same": [], "related": [ - "000260" + "000260", + "024542" ], "remark": "", "space": "", @@ -454648,7 +454667,9 @@ "same": [ "000259" ], - "related": [], + "related": [ + "024543" + ], "remark": "", "space": "4em", "unrelated": [] @@ -454782,7 +454803,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024542" + ], "remark": "", "space": "", "unrelated": [] @@ -455091,7 +455114,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024538" + ], "remark": "", "space": "", "unrelated": [] @@ -483355,7 +483380,9 @@ "20230606\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024544" + ], "remark": "", "space": "", "unrelated": [] @@ -522920,7 +522947,9 @@ "20230730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024543" + ], "remark": "", "space": "", "unrelated": [] @@ -597207,7 +597236,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024546" + ], "remark": "", "space": "4em", "unrelated": [] @@ -598130,7 +598161,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024539" + ], "remark": "", "space": "", "unrelated": [] @@ -599156,7 +599189,8 @@ ], "same": [], "related": [ - "023688" + "023688", + "024544" ], "remark": "", "space": "4em", @@ -645421,7 +645455,8 @@ "same": [], "related": [ "008807", - "022010" + "022010", + "024544" ], "remark": "", "space": "4em", @@ -664386,6 +664421,214 @@ "space": "4em", "unrelated": [] }, + "024538": { + "id": "024538", + "content": "若直线 $l_1: a x+3 y+1=0$ 与 $l_2: 2 x+(a+1) y+1=0$ 互相平行, 则实数 $a=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "016488" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024539": { + "id": "024539", + "content": "若直线 $(a+2) x+(1-a) y-3=0$ 与 $(a-1) x+(2 a+3) y+2=0$ 互相垂直, 则实数 $a =$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "021978", + "009799", + "000244", + "002198", + "012121" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024540": { + "id": "024540", + "content": "已知直线 $l$ 的方程为 $3 x+4 y-12=0$, 直线 $l$ 与 $l$ 垂直且 $l$ 与坐标轴围成的三角形面积为 6 , 则直线 $l'$ 的方程为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "010627" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024541": { + "id": "024541", + "content": "已知直线 $x-\\sqrt{3}y+1=0$ 与直线 $x+k y+3=0$ 的夹角为 $60^{\\circ}$, 则实数 $k=$\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024542": { + "id": "024542", + "content": "已知动点 $M(a, b)$ 在直线 $3 x+4 y-15=0$ 上, 则 $\\sqrt{a^2+b^2}$ 的最小值是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "000260", + "015319", + "016474" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024543": { + "id": "024543", + "content": "直线 $l_1: 3 x-2 y-6=0$ 关于直线 $l_2: 2 x-3 y+1=0$ 对称的直线 $l_3$ 的方程为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "000259", + "016468", + "008826", + "019489", + "013971" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024544": { + "id": "024544", + "content": "一直线过点 $P(1,2)$, 且被两条平行直线 $4 x+3 y+1=0$ 和 $4 x+3 y+6=0$ 截得线段长为 $\\sqrt{2}$, 则直线方程为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "022010", + "023688", + "008807", + "017739" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024545": { + "id": "024545", + "content": "平面中两条直线 $l_1$ 和 $l_2$ 相交于点 $O$, 对于平面上任意一点 $M$, 若 $p$、$q$ 分别为 $M$ 到直线 $l_1$和 $l_2$ 的距离, 则称有序非负实数对 $(p, q)$ 是点 $M$ 的``距离坐标''. 根据上述定义,``距离坐标''是$(1,2)$的点的个数是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024546": { + "id": "024546", + "content": "过点 $M(-2,-1)$ 作直线 $l$, 使它与两点 $A(-3,-2)$、$B(5,-4)$ 的距离相等, 求直线 $l$ 的方程.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "003368", + "021949" + ], + "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