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题库0.3/Problems.json
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@ -141819,7 +141819,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -263424,7 +263424,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$72$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -348098,7 +348098,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$n^2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -530751,7 +530751,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$\\{3\\}$", "ans": "$\\{2,4\\}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -530792,7 +530792,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$(-2,1)$", "ans": "$x=\\log_23$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -530903,7 +530903,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$-\\dfrac{3}{4}$", "ans": "$2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -530943,7 +530943,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$\\dfrac{1}{6}$", "ans": "$\\dfrac{\\pi}{6}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -531020,7 +531020,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$8$", "ans": "$\\dfrac{2\\sqrt{2}}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -531060,7 +531060,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$03$", "ans": "$\\dfrac{3}{10}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -531100,7 +531100,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "$\\dfrac{5}{2}$", "ans": "$-3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -531216,7 +531216,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "D", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -531257,7 +531257,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "B", "ans": "A",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622714,7 +622714,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$[0,1]$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622765,7 +622765,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\sqrt{5}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622812,7 +622812,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$2\\sqrt{2}-1$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622860,7 +622860,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\pm 1$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622899,7 +622899,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$2n-3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622947,7 +622947,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$1$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -622998,7 +622998,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$36$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623048,7 +623048,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "若 \\textcircled{1}\\textcircled{3},则\\textcircled{2}(或者若 \\textcircled{2}\\textcircled{3},则\\textcircled{1})",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623095,7 +623095,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{4\\sqrt{3}}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623142,7 +623142,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "A",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623179,7 +623179,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "D",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623229,7 +623229,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "A",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623277,7 +623277,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\dfrac{\\pi}{4}$; (2) $4-\\sqrt{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623324,7 +623324,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1)$\\dfrac{\\pi}{3}$;(2)$\\arctan\\dfrac{\\sqrt{2}}{2}$;(3)$\\dfrac{1}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623362,7 +623362,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\dfrac{x^2}{2}+y^2=1$; (2) $k=\\pm\\dfrac{1}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623398,7 +623398,7 @@
"A20240501-2024届高三上124分守护卷01" "A20240501-2024届高三上124分守护卷01"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\dfrac{1}{1},\\dfrac{2}{1},\\dfrac{1}{2},\\dfrac{3}{1},\\dfrac{2}{2},\\dfrac{1}{3},\\dfrac{4}{1},\\dfrac{3}{2},\\dfrac{2}{3},\\dfrac{1}{4}$; (2) $1008\\dfrac{28}{65}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623434,7 +623434,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\arctan\\dfrac{2}{5}$; (2) $V=4$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623461,7 +623461,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $a=0$; (2) $a-\\dfrac{1}{4}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623488,7 +623488,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1)7小时；(2)17小时",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623515,7 +623515,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1)$4\\sqrt{2}-6$;(2)$y=-\\dfrac{\\sqrt{2}}{2}x$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -623544,7 +623544,7 @@
"A20240502-2024届高三上124分守护卷02" "A20240502-2024届高三上124分守护卷02"
], ],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $1,2,3,a_n=n$;(2)略",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [