wangweiye
/
mathdeptv2
Archived
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

添加一些答案

This commit is contained in:
weiye.wang 2024-03-17 20:19:36 +08:00
parent d657b56cae
commit af25aa5aa4
2 changed files with 1963 additions and 546 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

2299
工具v2/文本文件/metadata.txt
View File

File diff suppressed because it is too large Load Diff

210
题库0.3/Problems.json
View File

@ -118397,7 +118397,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{\\pi}{3}$; (2) $\\dfrac{3\\sqrt{3}}{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -138260,7 +138260,7 @@
"F20240503-基础赋能卷02A"
],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [
@ -189379,7 +189379,7 @@
"第三单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@ -240794,7 +240794,7 @@
"第三单元"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{2\\pi}{3}$",
"solution": "",
"duration": -1,
"usages": [
@ -266542,7 +266542,7 @@
"H20250331-二项式定理(2)"
],
"genre": "解答题",
"ans": "(1)第$18$,$19$项; \\\\\n(2)$\\mathrm{C}_{35}^{27}3^{27}x^{27}$",
"ans": "(1)第$18$,$19$项；\\\\\n(2)$\\mathrm{C}_{35}^{27}3^{27}x^{27}$",
"solution": "",
"duration": -1,
"usages": [
@ -273820,7 +273820,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$b\\approx 7.66$, $c\\approx 6.74$, $S\\approx 16.58$",
"solution": "",
"duration": -1,
"usages": [],
@ -273866,7 +273866,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$\\sqrt{13}$",
"solution": "",
"duration": -1,
"usages": [],
@ -273890,7 +273890,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$B=30^\\circ,C=105^\\circ,c=3\\sqrt2+\\sqrt6$",
"solution": "",
"duration": -1,
"usages": [],
@ -273912,7 +273912,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$-\\frac{1}{4}$",
"solution": "",
"duration": -1,
"usages": [],
@ -292929,7 +292929,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$-\\frac{1}{7}$",
"solution": "",
"duration": -1,
"usages": [
@ -293010,7 +293010,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$a=b=2$",
"solution": "",
"duration": -1,
"usages": [
@ -293045,7 +293045,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "证明略",
"solution": "",
"duration": -1,
"usages": [],
@ -293179,7 +293179,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$\\frac{3}{5};84$",
"solution": "",
"duration": -1,
"usages": [
@ -394859,7 +394859,7 @@
"第三单元"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@ -492136,7 +492136,7 @@
"W20250306-2025届高二上学期周末卷06"
],
"genre": "填空题",
"ans": "$DM\\perp PC$(或$BM\\perp PC$)",
"ans": "$DM\\perp PC$（或$BM\\perp PC$)",
"solution": "",
"duration": -1,
"usages": [],
@ -509073,7 +509073,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$AC\\approx 14.6\\text{km}$, $BC\\approx 22.4\\text{km}$",
"solution": "",
"duration": -1,
"usages": [],
@ -509095,7 +509095,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$a=2R\\sin A$, $b=2R\\sin B$, $c=2R\\sin C$",
"solution": "",
"duration": -1,
"usages": [],
@ -509117,7 +509117,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "(1) 证明略; (2) 证明略",
"solution": "",
"duration": -1,
"usages": [],
@ -509139,7 +509139,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$\\frac{5+10\\sqrt 2}{3}$",
"solution": "",
"duration": -1,
"usages": [
@ -509173,7 +509173,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$\\frac{1}{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -509207,7 +509207,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$c=2,A=60^\\circ,B=75^\\circ$",
"solution": "",
"duration": -1,
"usages": [],
@ -509229,7 +509229,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$B=60^\\circ,C=90^\\circ,c=4;B=120^\\circ,C=30^\\circ,c=2$",
"solution": "",
"duration": -1,
"usages": [],
@ -509251,7 +509251,7 @@
"第三单元"
],
"genre": "解答题",
"ans": "",
"ans": "$\\frac{15\\sqrt{7}}{4}$",
"solution": "",
"duration": -1,
"usages": [],
@ -544392,7 +544392,7 @@
"F20240501-基础赋能卷01A"
],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac{1}{4}$",
"solution": "",
"duration": -1,
"usages": [
@ -544428,7 +544428,7 @@
"F20240501-基础赋能卷01A"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{1}{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -544464,7 +544464,7 @@
"F20240501-基础赋能卷01A"
],
"genre": "填空题",
"ans": "",
"ans": "3",
"solution": "",
"duration": -1,
"usages": [
@ -544500,7 +544500,7 @@
"F20240501-基础赋能卷01A"
],
"genre": "填空题",
"ans": "",
"ans": "$[-\\dfrac{1}{2},\\dfrac{1}{2}]$",
"solution": "",
"duration": -1,
"usages": [
@ -544536,7 +544536,7 @@
"F20240501-基础赋能卷01A"
],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [
@ -544870,7 +544870,7 @@
"F20240503-基础赋能卷02A"
],
"genre": "填空题",
"ans": "",
"ans": "1",
"solution": "",
"duration": -1,
"usages": [
@ -544906,7 +544906,7 @@
"F20240503-基础赋能卷02A"
],
"genre": "填空题",
"ans": "",
"ans": "3",
"solution": "",
"duration": -1,
"usages": [
@ -544942,7 +544942,7 @@
"F20240503-基础赋能卷02A"
],
"genre": "填空题",
"ans": "",
"ans": "2",
"solution": "",
"duration": -1,
"usages": [
@ -544978,7 +544978,7 @@
"F20240503-基础赋能卷02A"
],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac{1}{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -545017,7 +545017,7 @@
"F20240503-基础赋能卷02A"
],
"genre": "选择题",
"ans": "",
"ans": "D",
"solution": "",
"duration": -1,
"usages": [
@ -586032,7 +586032,7 @@
"H20250338-总体与样本、数据的获取"
],
"genre": "解答题",
"ans": "总体是$2487$万人的年龄, 样本是$24000$个常住居民的年龄, 样本量是$24000$",
"ans": "总体是$2487$万人的年龄，样本是$24000$个常住居民的年龄，样本量是$24000$",
"solution": "",
"duration": -1,
"usages": [
@ -586068,7 +586068,7 @@
"H20250338-总体与样本、数据的获取"
],
"genre": "填空题",
"ans": "观测, 观测, 实验",
"ans": "观测，观测，实验",
"solution": "",
"duration": -1,
"usages": [
@ -586104,7 +586104,7 @@
"H20250338-总体与样本、数据的获取"
],
"genre": "解答题",
"ans": "不可靠, 样本容量太小, 样本不一定具有代表性",
"ans": "不可靠，样本容量太小，样本不一定具有代表性",
"solution": "",
"duration": -1,
"usages": [
@ -586286,7 +586286,7 @@
"H20250338-总体与样本、数据的获取"
],
"genre": "解答题",
"ans": "平均数是$72.0$, 中位数是$70$, 方差是$74.9$",
"ans": "平均数是$72.0$，中位数是$70$，方差是$74.9$",
"solution": "",
"duration": -1,
"usages": [
@ -586569,7 +586569,7 @@
"H20250339-抽样方法"
],
"genre": "解答题",
"ans": "样本容量为$92$, 抽样人数为$31$",
"ans": "样本容量为$92$，抽样人数为$31$",
"solution": "",
"duration": -1,
"usages": [
@ -586645,7 +586645,7 @@
"H20250339-抽样方法"
],
"genre": "解答题",
"ans": "分层抽样, 高一抽$18$人, 高二抽$22$人, 高三抽$10$人",
"ans": "分层抽样，高一抽$18$人，高二抽$22$人，高三抽$10$人",
"solution": "",
"duration": -1,
"usages": [
@ -586819,7 +586819,7 @@
"H20250340-统计图表"
],
"genre": "填空题",
"ans": "集中, 分散, $6.88$,$12.43$",
"ans": "集中，分散，$6.88$,$12.43$",
"solution": "",
"duration": -1,
"usages": [
@ -587056,7 +587056,7 @@
"H20250341-统计估计"
],
"genre": "解答题",
"ans": "甲更准, 乙更稳定",
"ans": "甲更准，乙更稳定",
"solution": "",
"duration": -1,
"usages": [
@ -587283,7 +587283,7 @@
"H20250341-统计估计"
],
"genre": "解答题",
"ans": "平均成绩是$89.6$, 总体方差是$12.09$",
"ans": "平均成绩是$89.6$，总体方差是$12.09$",
"solution": "",
"duration": -1,
"usages": [
@ -588539,7 +588539,7 @@
"第七单元"
],
"genre": "解答题",
"ans": "不正确, 正确结果为$17$",
"ans": "不正确，正确结果为$17$",
"solution": "",
"duration": -1,
"usages": [
@ -589600,7 +589600,7 @@
"第七单元"
],
"genre": "解答题",
"ans": "(1)椭圆:$k<4$,双曲线: $4<k<9$;(2)$\\dfrac{x^2}{3}-\\dfrac{y^2}{2}=1$",
"ans": "(1)椭圆:$k<4$,双曲线：$4<k<9$;(2)$\\dfrac{x^2}{3}-\\dfrac{y^2}{2}=1$",
"solution": "",
"duration": -1,
"usages": [
@ -630746,7 +630746,7 @@
"W20250310-2025届高二上学期周末卷10"
],
"genre": "解答题",
"ans": "",
"ans": "(1)$2$;(2)存在，$N=22$.",
"solution": "",
"duration": -1,
"usages": [],
@ -630792,7 +630792,7 @@
"W20250310-2025届高二上学期周末卷10"
],
"genre": "解答题",
"ans": "",
"ans": "$S_n=(n-1)\\cdot3^n+1$.",
"solution": "",
"duration": -1,
"usages": [],
@ -638834,7 +638834,7 @@
"A20240502-2024届高三上124分守护卷02"
],
"genre": "解答题",
"ans": "(1)7小时; (2)17小时",
"ans": "(1)7小时；(2)17小时",
"solution": "",
"duration": -1,
"usages": [
@ -639491,7 +639491,7 @@
"A20240503-2024届高三上124分守护卷03"
],
"genre": "解答题",
"ans": "(1)$3.1$秒; (2)20米/秒, 72千米/小时",
"ans": "(1)$3.1$秒；（2）20米/秒，72千米/小时",
"solution": "",
"duration": -1,
"usages": [
@ -639527,7 +639527,7 @@
"A20240503-2024届高三上124分守护卷03"
],
"genre": "解答题",
"ans": "(1)$\\dfrac{8}{3}$;(2)略",
"ans": "（1）$\\dfrac{8}{3}$;(2)略",
"solution": "",
"duration": -1,
"usages": [
@ -639563,7 +639563,7 @@
"A20240503-2024届高三上124分守护卷03"
],
"genre": "解答题",
"ans": "(1)$a_1=1;a_2=0$或$1$; $a_3=0$或$1$;(2)115,证明略",
"ans": "（1）$a_1=1;a_2=0$或$1$；$a_3=0$或$1$;(2)115,证明略",
"solution": "",
"duration": -1,
"usages": [
@ -640057,7 +640057,7 @@
"A20240504-2024届高三上124分守护卷04"
],
"genre": "解答题",
"ans": "(1)$AB=\\sqrt{2}$米,$BC=\\dfrac{\\sqrt{2}}{2}$米,面积最大为$1$平方米; (2)$AB=2\\sqrt{2}$米,$BC=\\dfrac{\\sqrt{2}}{2}$米,面积最大为$2$平方米",
"ans": "（1）$AB=\\sqrt{2}$米,$BC=\\dfrac{\\sqrt{2}}{2}$米,面积最大为$1$平方米；（2）$AB=2\\sqrt{2}$米,$BC=\\dfrac{\\sqrt{2}}{2}$米,面积最大为$2$平方米",
"solution": "",
"duration": -1,
"usages": [],
@ -640083,7 +640083,7 @@
"A20240504-2024届高三上124分守护卷04"
],
"genre": "解答题",
"ans": "(1)$2020$;(2)$(-\\infty,\\log_2\\dfrac{9}{10}]$",
"ans": "（1）$2020$;(2)$(-\\infty,\\log_2\\dfrac{9}{10}]$",
"solution": "",
"duration": -1,
"usages": [
@ -640119,7 +640119,7 @@
"A20240504-2024届高三上124分守护卷04"
],
"genre": "解答题",
"ans": "(1)证明略; (2)关于直线$y=x$对称, $x$范围为$[-1,+\\infty)$,$y$范围为$[-1,+\\infty)$,证明略",
"ans": "（1）证明略；(2)关于直线$y=x$对称，$x$范围为$[-1,+\\infty)$,$y$范围为$[-1,+\\infty)$,证明略",
"solution": "",
"duration": -1,
"usages": [],
@ -640143,7 +640143,7 @@
"A20240504-2024届高三上124分守护卷04"
],
"genre": "解答题",
"ans": "(1)例: $f(x)=\\sin\\dfrac{\\pi x}{4}$,证明略; (2)证明略",
"ans": "（1）例：$f(x)=\\sin\\dfrac{\\pi x}{4}$,证明略；（2）证明略",
"solution": "",
"duration": -1,
"usages": [],
@ -640168,7 +640168,7 @@
"A20240505-2024届高三上124分守护卷05"
],
"genre": "填空题",
"ans": "$(0,2)$",
"ans": "$(0,2))$",
"solution": "",
"duration": -1,
"usages": [
@ -640399,7 +640399,7 @@
"A20240505-2024届高三上124分守护卷05"
],
"genre": "解答题",
"ans": "(1)证明略; (2)$ED=\\dfrac{\\sqrt{6}}{3}a$",
"ans": "(1)证明略；（2）$ED=\\dfrac{\\sqrt{6}}{3}a$",
"solution": "",
"duration": -1,
"usages": [
@ -640425,7 +640425,7 @@
"A20240505-2024届高三上124分守护卷05"
],
"genre": "解答题",
"ans": "(1)15户; (2)$x=5$时, $f(x)$最大值为$2.12>2.1$,可以达到",
"ans": "(1)15户；（2）$x=5$时，$f(x)$最大值为$2.12>2.1$,可以达到",
"solution": "",
"duration": -1,
"usages": [
@ -640451,7 +640451,7 @@
"A20240505-2024届高三上124分守护卷05"
],
"genre": "解答题",
"ans": "(1)$1$; (2)$(0,\\arctan\\dfrac{1}{2})$",
"ans": "（1）$1$; (2)$(0,\\arctan\\dfrac{1}{2})$",
"solution": "",
"duration": -1,
"usages": [
@ -640479,7 +640479,7 @@
"A20240505-2024届高三上124分守护卷05"
],
"genre": "解答题",
"ans": "(1)$6$; (2)正确, 证明略",
"ans": "(1)$6$; (2)正确，证明略",
"solution": "",
"duration": -1,
"usages": [
@ -644840,7 +644840,7 @@
"F20240501-基础赋能卷01A"
],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@ -644865,7 +644865,7 @@
"F20240502-基础赋能卷01B"
],
"genre": "填空题",
"ans": "",
"ans": "4",
"solution": "",
"duration": -1,
"usages": [],
@ -644890,7 +644890,7 @@
"F20240502-基础赋能卷01B"
],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@ -644915,7 +644915,7 @@
"F20240502-基础赋能卷01B"
],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@ -647093,7 +647093,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$\\frac{\\pi}{4}$或$\\frac{3\\pi}{4}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647116,7 +647116,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$3\\pi$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647140,7 +647140,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$4\\sqrt{3}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647163,7 +647163,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$\\sqrt{2}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647186,7 +647186,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "\\textcircled{1},\\textcircled{3}.",
"solution": "",
"duration": -1,
"usages": [],
@ -647209,7 +647209,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$5$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647233,7 +647233,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$21$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647256,7 +647256,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$32\\pi$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647279,7 +647279,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$3\\sqrt{3}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647302,7 +647302,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$6$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647325,7 +647325,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "填空题",
"ans": "",
"ans": "$\\frac{\\pi}{6}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647348,7 +647348,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "选择题",
"ans": "",
"ans": "A.",
"solution": "",
"duration": -1,
"usages": [],
@ -647371,7 +647371,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "选择题",
"ans": "",
"ans": "C.",
"solution": "",
"duration": -1,
"usages": [],
@ -647394,7 +647394,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "解答题",
"ans": "",
"ans": "(1)略；(2)$arccos\\frac{31}{34}$;(3)$\\pi-arctan\\frac{\\sqrt{51}}{12}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647417,7 +647417,7 @@
"E20250302-2025届高二上学期测验卷02"
],
"genre": "解答题",
"ans": "",
"ans": "(1)略；(2)$\\frac{1}{6}$;(3)$[\\frac{21}{2},15]$.",
"solution": "",
"duration": -1,
"usages": [],
@ -647741,7 +647741,7 @@
"W20250301-2025届高二上学期周末卷01"
],
"genre": "解答题",
"ans": "",
"ans": "(1)略；(2)略.",
"solution": "",
"duration": -1,
"usages": [],
@ -647764,7 +647764,7 @@
"W20250301-2025届高二上学期周末卷01"
],
"genre": "解答题",
"ans": "",
"ans": "略.",
"solution": "",
"duration": -1,
"usages": [],
@ -647789,7 +647789,7 @@
"W20250301-2025届高二上学期周末卷01"
],
"genre": "解答题",
"ans": "",
"ans": "略.",
"solution": "",
"duration": -1,
"usages": [],
@ -648136,7 +648136,7 @@
"W20250302-2025届高二上学期周末卷02"
],
"genre": "解答题",
"ans": "",
"ans": "略.",
"solution": "",
"duration": -1,
"usages": [],
@ -648159,7 +648159,7 @@
"W20250302-2025届高二上学期周末卷02"
],
"genre": "解答题",
"ans": "",
"ans": "略.",
"solution": "",
"duration": -1,
"usages": [],
@ -649069,7 +649069,7 @@
"W20250305-2025届高二上学期周末卷05"
],
"genre": "解答题",
"ans": "$(1)$略; $(2)\\frac{\\sqrt{14}}{14}$",
"ans": "$(1)$略；$(2)\\frac{\\sqrt{14}}{14}$",
"solution": "",
"duration": -1,
"usages": [],
@ -649115,7 +649115,7 @@
"W20250305-2025届高二上学期周末卷05"
],
"genre": "解答题",
"ans": "$(1)$略; $(2)arctan\\frac{\\sqrt{6}}{2}$;$(3)$略; $(4)\\frac{\\sqrt{2}}{6}$",
"ans": "$(1)$略；$(2)arctan\\frac{\\sqrt{6}}{2}$;$(3)$略；$(4)\\frac{\\sqrt{2}}{6}$",
"solution": "",
"duration": -1,
"usages": [],
@ -649324,7 +649324,7 @@
"W20250306-2025届高二上学期周末卷06"
],
"genre": "解答题",
"ans": "(1)略; (2)$arccos\\frac{\\sqrt{15}}{5}$",
"ans": "(1)略；(2)$arccos\\frac{\\sqrt{15}}{5}$",
"solution": "",
"duration": -1,
"usages": [],
@ -649347,7 +649347,7 @@
"W20250306-2025届高二上学期周末卷06"
],
"genre": "解答题",
"ans": "(1)略; (2)6.",
"ans": "(1)略；(2)6.",
"solution": "",
"duration": -1,
"usages": [],
@ -649396,7 +649396,7 @@
"W20250306-2025届高二上学期周末卷06"
],
"genre": "解答题",
"ans": "(1)略; (2)$\\frac{2\\sqrt{6}}{3}$.",
"ans": "(1)略；(2)$\\frac{2\\sqrt{6}}{3}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -649534,7 +649534,7 @@
"W20250307-2025届高二上学期周末卷07"
],
"genre": "填空题",
"ans": "$(1)$外心; $(2)$内心; $(3)$垂心.",
"ans": "$(1)$外心；$(2)$内心；$(3)$垂心.",
"solution": "",
"duration": -1,
"usages": [],
@ -649697,7 +649697,7 @@
"W20250307-2025届高二上学期周末卷07"
],
"genre": "解答题",
"ans": "$(1)$略; $(2)\\frac{5}{3}$.",
"ans": "$(1)$略；$(2)\\frac{5}{3}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -650115,7 +650115,7 @@
"W20250308-2025届高二上学期周末卷08"
],
"genre": "解答题",
"ans": "$(1)$略; $(2)arctan\\sqrt{2}$;$(3)$是, $\\frac{\\sqrt{6}}{24}$.",
"ans": "$(1)$略；$(2)arctan\\sqrt{2}$;$(3)$是，$\\frac{\\sqrt{6}}{24}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -650233,7 +650233,7 @@
"W20250309-2025届高二上学期周末卷09"
],
"genre": "填空题",
"ans": "$6$.",
"ans": "$3$.",
"solution": "",
"duration": -1,
"usages": [],
@ -650424,7 +650424,7 @@
"W20250309-2025届高二上学期周末卷09"
],
"genre": "解答题",
"ans": "(1)略; (2)$S_{n}=\\frac{2}{3}-(n+\\frac{2}{3})(\\frac{1}{4})^{n}$;(3)$(-\\infty,-5]\\cup[1,+\\infty)$.",
"ans": "(1)略；(2)$S_{n}=\\frac{2}{3}-(n+\\frac{2}{3})(\\frac{1}{4})^{n}$;(3)$(-\\infty,-5]\\cup[1,+\\infty)$.",
"solution": "",
"duration": -1,
"usages": [],
@ -650805,7 +650805,7 @@
"W20250310-2025届高二上学期周末卷10"
],
"genre": "解答题",
"ans": "",
"ans": "(1)$a_n=\\frac{2}{n+1}$;(2)$a_n=2\\cdot3^{n-1}-1$;(3)$a_n=2^n-1$;(4)$a_n=\\begin{cases}2,n=4k-3 \\\\-3,n=4k-2\\\\-\\frac{1}{2},n=4k-1\\\\\\frac{1}{3},n=4k\\end{cases}\\ \\ \\ \\ \\ ( k\\in \\mathbf{N}$且$k\\ge1)$",
"solution": "",
"duration": -1,
"usages": [],
@ -650828,7 +650828,7 @@
"W20250310-2025届高二上学期周末卷10"
],
"genre": "解答题",
"ans": "",
"ans": "(1)不是；(2)最大项为$a_3=a_4=20$.",
"solution": "",
"duration": -1,
"usages": [],
@ -650853,7 +650853,7 @@
"W20250310-2025届高二上学期周末卷10"
],
"genre": "解答题",
"ans": "",
"ans": "(1)第$16$项；(2)$b_n=3\\cdot2^n+1$.",
"solution": "",
"duration": -1,
"usages": [],
@ -650876,7 +650876,7 @@
"W20250310-2025届高二上学期周末卷10"
],
"genre": "解答题",
"ans": "",
"ans": "(1)略；(2)$a_n=\\begin{cases}\n\\frac{1}{2},n=1\\\\-\\frac{1}{2n(n-1)},n\\geq2\n\\end{cases}$",
"solution": "",
"duration": -1,
"usages": [],
@ -651801,7 +651801,7 @@
"W20250313-2025届高二上学期周末卷13"
],
"genre": "解答题",
"ans": "",
"ans": "(1)$k=-1;$(2)$n=57,58;$(3)$T_n\\in[\\frac{1}{4},\\frac{1}{3})$).",
"solution": "",
"duration": -1,
"usages": [],
@ -683748,7 +683748,7 @@
"第三单元"
],
"genre": "",
"ans": "",
"ans": "(1) $\\sqrt{2}\\sin (\\alpha+\\dfrac{\\pi}{4})$; (2) $2\\sin(\\alpha-\\dfrac{\\pi}{6})$; (3) $2\\sin (\\alpha+\\dfrac{5\\pi}{6})$; (4) $5\\sin (\\alpha+\\varphi)$, $\\cos\\varphi = \\dfrac{3}{5}$, $\\sin\\varphi = \\dfrac{4}{5}$, ($\\varphi \\in [-\\pi,\\pi)$); (5) $13\\sin(\\alpha+\\varphi)$, $\\cos\\varphi = \\dfrac{12}{13}$, $\\sin\\varphi = -\\dfrac{5}{13}$, ($\\varphi \\in [-\\pi,\\pi)$)",
"solution": "",
"duration": -1,
"usages": [
@ -683859,7 +683859,7 @@
"第三单元"
],
"genre": "填空题",
"ans": "",
"ans": "$2\\sin(2x-\\dfrac{\\pi}{6})+1$",
"solution": "",
"duration": -1,
"usages": [
@ -686547,7 +686547,7 @@
"第三单元"
],
"genre": "填空题",
"ans": "",
"ans": "$4$",
"solution": "",
"duration": -1,
"usages": [
@ -686616,7 +686616,7 @@
"第三单元"
],
"genre": "",
"ans": "",
"ans": "$-4$",
"solution": "",
"duration": -1,
"usages": [
@ -731794,7 +731794,7 @@
"第三单元"
],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@ -749111,7 +749111,7 @@
"第三单元"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{7}{25}$",
"solution": "",
"duration": -1,
"usages": [
@ -749302,7 +749302,7 @@
"第三单元"
],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{1}{3}$",
"solution": "",
"duration": -1,
"usages": [