From 3ec8e97c78e425ca86863cc22dbc62acb5cf8588 Mon Sep 17 00:00:00 2001 From: wangweiye7840 Date: Sun, 4 Feb 2024 14:31:49 +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=9A9?= 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 | 325 +++++++++++++++++++++++++++++-- 2 files changed, 308 insertions(+), 20 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 9a9ee3f4..8b7881fe 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 @@ -343,3 +343,6 @@ 20240204-142554 高二寒假作业8 002910,024515:024516,022377,022367,024517,003025,024518:024521,020568,024522,014665,024523:024526 +20240204-143106 高二寒假作业9 +024527:024536,002183,024537 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 16f09e26..0e033783 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -8726,7 +8726,9 @@ "20220624\t王伟叶, 余利成" ], "same": [], - "related": [], + "related": [ + "024533" + ], "remark": "", "space": "4em", "unrelated": [] @@ -70449,7 +70451,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024527" + ], "remark": "", "space": "", "unrelated": [] @@ -71971,7 +71975,8 @@ ], "same": [], "related": [ - "002211" + "002211", + "024532" ], "remark": "", "space": "", @@ -72309,7 +72314,9 @@ "20220625\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024537" + ], "remark": "", "space": "4em", "unrelated": [] @@ -248484,7 +248491,9 @@ "same": [ "010611" ], - "related": [], + "related": [ + "024528" + ], "remark": "", "space": "4em", "unrelated": [] @@ -275436,7 +275445,9 @@ "20220730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024530" + ], "remark": "", "space": "4em", "unrelated": [] @@ -297402,7 +297413,9 @@ "20220806\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024533" + ], "remark": "", "space": "4em", "unrelated": [] @@ -368797,7 +368810,8 @@ ], "same": [], "related": [ - "024159" + "024159", + "024529" ], "remark": "", "space": "", @@ -453407,7 +453421,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024527" + ], "remark": "", "space": "", "unrelated": [] @@ -454331,7 +454347,9 @@ "20230503\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024531" + ], "remark": "", "space": "4em", "unrelated": [] @@ -454604,7 +454622,9 @@ "same": [ "022009" ], - "related": [], + "related": [ + "024537" + ], "remark": "", "space": "4em", "unrelated": [] @@ -508337,7 +508357,9 @@ "20230707\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024529" + ], "remark": "", "space": "4em", "unrelated": [] @@ -509003,7 +509025,9 @@ "same": [ "030507" ], - "related": [], + "related": [ + "024531" + ], "remark": "", "space": "4em", "unrelated": [] @@ -522917,7 +522941,9 @@ "20230730\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024533" + ], "remark": "", "space": "", "unrelated": [] @@ -599254,7 +599280,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024533" + ], "remark": "", "space": "", "unrelated": [] @@ -599347,7 +599375,9 @@ "20230209\t王伟叶" ], "same": [], - "related": [], + "related": [ + "024532" + ], "remark": "", "space": "", "unrelated": [] @@ -656113,7 +656143,8 @@ ], "same": [], "related": [ - "013105" + "013105", + "024529" ], "remark": "", "space": "", @@ -664106,6 +664137,254 @@ "space": "4em", "unrelated": [] }, + "024527": { + "id": "024527", + "content": "若直线 $l$ 的斜率的取值范围为 $(-\\sqrt{2}, \\sqrt{3})$, 则其倾斜角的取值范围为\\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": [ + "016413", + "002162" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024528": { + "id": "024528", + "content": "已知点 $A(-2,3)$、$B(4,-7)$, 则线段 $AB$ 的垂直平分线的一般方程为\\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": [ + "008764" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024529": { + "id": "024529", + "content": "直线 $a x+(3-a) y+1=0$($a \\in \\mathbf{R}$) 恒过定点\\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": [ + "024159", + "018849", + "013105", + "040825" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024530": { + "id": "024530", + "content": "已知直线 $(1-a) x+3 a y+3=0$ 不经过第二象限, 则实数 $a$ 的取值范围为\\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": [ + "040836", + "009792" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024531": { + "id": "024531", + "content": "直线 $l$ 与直线 $y=1$, $x-y-7=0$ 分别交于 $P$、$Q$ 两点, 线段 $PQ$ 的中点为 $(1,-1)$, 则 $l$ 的倾斜角为\\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": [ + "016455", + "018879" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024532": { + "id": "024532", + "content": "与直线 $2 x+3 y-6=0$ 关于点 $(1,-1)$ 对称的直线的方程为\\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": [ + "002210", + "022017" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024533": { + "id": "024533", + "content": "已知点 $A(0,5)$, $B(5,0)$, $C(-4,-3)$, 过点 $A$ 且斜率为 $k$ 的直线 $l$ 与射线 $BC$ 相交, 则 $k$ 的取值范围为\\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": [ + "040835", + "019490", + "000256", + "010595", + "022014" + ], + "remark": "", + "space": "", + "unrelated": [] + }, + "024534": { + "id": "024534", + "content": "直线 $4 x-3 y-8=0$ 的倾斜角平分线所在直线的方程为\\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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024535": { + "id": "024535", + "content": "已知直线 $y=\\dfrac{1}{2}x+b$ 分别与 $x$ 轴、 $y$ 轴的交于点 $A$、$B$, $O$ 为坐标系原点, 且 $S_{\\triangle AOB}\\leq 2$, 则 $b$的取值范围为\\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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024536": { + "id": "024536", + "content": "若过点 $(1,4)$ 的直线 $l$ 在两坐标轴上的截距都是正数且截距之和最小, 则 $l$ 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": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "024537": { + "id": "024537", + "content": "已知点 $A(2,0)$, 点 $B(-2,-4), P$ 为直线 $l: x-2 y+8=0$ 上一动点.\\\\\n(1) 求 $|PA|+|PB|$ 的最小值, 并求出此时点 $P$ 的坐标;\\\\\n(2) 求 $|PB|-|PA|$ 的最大值, 并求出此时点 $P$ 的坐标.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240204\t杨懿荔" + ], + "same": [], + "related": [ + "002221", + "016467" + ], + "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