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录入高二寒假作业9

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wangweiye7840 2024-02-04 14:31:49 +08:00
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3
工具v2/文本文件/新题收录列表.txt
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@ -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

325
题库0.3/Problems.json
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@ -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"
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"remark": "",
"space": "4em",
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@ -248484,7 +248491,9 @@
"same": [
"010611"
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"related": [
"024528"
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"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"
],
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"related": [
"024531"
],
"remark": "",
"space": "4em",
"unrelated": []
@ -454604,7 +454622,9 @@
"same": [
"022009"
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"related": [],
"related": [
"024537"
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"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"
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"related": [],
"related": [
"024531"
],
"remark": "",
"space": "4em",
"unrelated": []
@ -522917,7 +522941,9 @@
"20230730\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024533"
],
"remark": "",
"space": "",
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@ -599254,7 +599280,9 @@
"20230209\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024533"
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"remark": "",
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@ -599347,7 +599375,9 @@
"20230209\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024532"
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"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) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",
@ -741401,7 +741680,9 @@
"20230601\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024529"
],
"remark": "",
"space": "4em",
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@ -741621,7 +741902,9 @@
"20230601\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024533"
],
"remark": "",
"space": "",
"unrelated": []
@ -741643,7 +741926,9 @@
"20230601\t王伟叶"
],
"same": [],
"related": [],
"related": [
"024530"
],
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"space": "",
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