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添加一些高一的答案

This commit is contained in:
weiye.wang 2023-05-16 22:10:41 +08:00
parent f50cc5c87c
commit 9fac56fa4e
3 changed files with 97 additions and 365 deletions
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274
工具/文本文件/metadata.txt
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@ -1,272 +1,4 @@
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021639
B

2
工具/题号选题pdf生成.py
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@ -7,7 +7,7 @@ import os,re,time,json,sys
"""---设置题目列表---""" """---设置题目列表---"""
#留空为编译全题库, a为读取文本文件中的题号筛选.txt文件生成题库 #留空为编译全题库, a为读取文本文件中的题号筛选.txt文件生成题库
problems = r""" problems = r"""
a
""" """
"""---设置题目列表结束---""" """---设置题目列表结束---"""

186
题库0.3/Problems.json
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@ -481140,7 +481140,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{2+\\sqrt{15}}{6}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481170,7 +481170,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{\\sqrt{2}}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481200,7 +481200,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\sin 2\\beta$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481230,7 +481230,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$0$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481260,7 +481260,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$2-\\sqrt{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481290,7 +481290,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{16}{65}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481320,7 +481320,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{7}{25}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481350,7 +481350,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{4\\sqrt{14}+3\\sqrt{2}}{20}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481380,7 +481380,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$(\\dfrac{4\\sqrt{3}+3}{2},\\dfrac{3\\sqrt{3}-4}{2})$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481410,7 +481410,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{33}{65}$或$\\dfrac{63}{65}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481440,7 +481440,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481470,7 +481470,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "C",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481500,7 +481500,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{56}{65}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481530,7 +481530,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481560,7 +481560,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{3}{4}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481590,7 +481590,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{-6+5\\sqrt{3}}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481620,7 +481620,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\tan \\alpha$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481650,7 +481650,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\sqrt{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481680,7 +481680,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{\\sqrt{3}}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481710,7 +481710,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "A",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481740,7 +481740,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{17}{31}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481770,7 +481770,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{\\pi}{4}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481800,7 +481800,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\dfrac{1}{3}$;\n(2) $\\dfrac{1}{7}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481830,7 +481830,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{1}{5}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481860,7 +481860,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "当$CD = 1.4$米时，$\\tan \\angle ACB$最大",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481890,7 +481890,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "(1) $2 \\sin (\\alpha+\\dfrac{\\pi}{6})$;\n(2) $\\sqrt{2} \\sin (\\alpha+\\dfrac{7\\pi}{4})$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481919,7 +481919,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$6\\cos(\\alpha+\\dfrac{\\pi}{3})$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481948,7 +481948,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$2k \\pi-\\dfrac{\\pi}{3}(k\\in \\mathbf{Z} )$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -481979,7 +481979,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482010,7 +482010,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{1}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482039,7 +482039,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{\\pi}{12}$或$\\dfrac{5\\pi}{12}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482068,7 +482068,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$5$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482097,7 +482097,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{13}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482126,7 +482126,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{p}{1+q}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482155,7 +482155,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{3}{5}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482184,7 +482184,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{24}{7}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482213,7 +482213,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{24}{25}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482242,7 +482242,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{15}{17}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482271,7 +482271,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\sin 2 \\varphi=\\dfrac{4\\sqrt{2}}{9}$;\n$\\cos 2 \\varphi=-\\dfrac{7}{9}$;\n$\\tan 2 \\varphi=-\\dfrac{4\\sqrt{2}}{7}$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482300,7 +482300,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{24}{25}$; $\\dfrac{7}{25}$; $\\dfrac{24}{7}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [],
@ -482320,7 +482320,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $-\\dfrac{\\sqrt{3}}{3}$;\\\\\n(2) $\\dfrac{3}{4}$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482349,7 +482349,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{7}{24}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482378,7 +482378,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$-\\dfrac{2\\sqrt{10}}{5}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482407,7 +482407,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$1$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482465,7 +482465,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$1$或$\\dfrac{7}{25}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482494,7 +482494,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$-\\dfrac{\\sqrt{2-2a}}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482523,7 +482523,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "第三象限",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482552,7 +482552,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "当$\\dfrac{\\theta}{2}$在第二象限时，\n$\\sin \\dfrac{\\theta}{2}=\\dfrac{\\sqrt{3}}{3}$,\n$\\cos \\dfrac{\\theta}{2}=-\\dfrac{\\sqrt{6}}{3}$,\n$\\tan \\dfrac{\\theta}{2}=-\\dfrac{\\sqrt{2}}{2}$;\\\\\n当$\\dfrac{\\theta}{2}$在第四象限时，\n$\\sin \\dfrac{\\theta}{2}=-\\dfrac{\\sqrt{3}}{3}$,\n$\\cos \\dfrac{\\theta}{2}=\\dfrac{\\sqrt{6}}{3}$,\n$\\tan \\dfrac{\\theta}{2}=-\\dfrac{\\sqrt{2}}{2}$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482581,7 +482581,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{3}{5}$;$\\dfrac{4}{5}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482639,7 +482639,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{2}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482668,7 +482668,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\cos \\alpha-\\sin \\alpha$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482697,7 +482697,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\sin \\dfrac{ \\alpha}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482726,7 +482726,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $\\tan \\dfrac{\\theta}{2}$; (2) $\\sin \\alpha$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482755,7 +482755,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{\\sqrt{6}}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482783,7 +482783,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$30^{\\circ}$或$90^{\\circ}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482811,7 +482811,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\sqrt{6}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482839,7 +482839,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$55$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482867,7 +482867,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{\\pi}{3}$或$\\dfrac{2\\pi}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482895,7 +482895,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$1: \\sqrt{3}: 2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482923,7 +482923,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482951,7 +482951,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{5}{8}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -482979,7 +482979,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "等腰",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483007,7 +483007,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{3\\sqrt{2}}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483035,7 +483035,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\sqrt{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483063,7 +483063,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{7\\pi}{12}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483091,7 +483091,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{2\\pi}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483119,7 +483119,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "(1) $\\left( 0,9 \\right)$; \\\\\n(2) $\\{9\\} \\cup \\left[18,+ \\infty \\right)$;\\\\\n(3) $\\left( 9,18 \\right)$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483147,7 +483147,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{3\\sqrt{7}}{8}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483176,7 +483176,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\sqrt{17}$或$\\sqrt{65}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483205,7 +483205,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{\\pi}{4}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483234,7 +483234,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "\\textcircled{1}；\\textcircled{2}",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483263,7 +483263,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$a>3$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483292,7 +483292,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$a=\\sqrt{21}$和$\\sin B=\\dfrac{5\\sqrt{7}}{14}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483321,7 +483321,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{2\\pi}{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483350,7 +483350,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$c=\\sqrt{6}+\\sqrt{2}$;$C=75^\\circ$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483379,7 +483379,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{\\sqrt{19}}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483408,7 +483408,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "周长的最小值为$12$,此时三角形为正三角形；\\\\\n面积最大值为$4\\sqrt{3}$,此时三角形为正三角形.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483437,7 +483437,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{\\sqrt{5}}{5}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483466,7 +483466,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{2\\sqrt{5}}{5}$或$-\\dfrac{2\\sqrt{5}}{25}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [],
@ -483486,7 +483486,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\dfrac{\\sqrt{5}}{5}$或$\\dfrac{11\\sqrt{5}}{25}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483515,7 +483515,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "填空题", "genre": "填空题",
"ans": "", "ans": "$\\left ( 2,2\\sqrt{2} \\right )$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483544,7 +483544,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) 以$C$为直角的直角三角形；\\\\\n(2) 以$A$为顶角的等腰三角形；\\\\\n(3) 以$A$为直角的直角三角形.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483573,7 +483573,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$a=\\sqrt{13}$;$R=\\dfrac{\\sqrt{39}}{3}$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483602,7 +483602,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$6\\sqrt{19}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483631,7 +483631,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $x=\\arcsin \\dfrac{2}{5}$或$\\pi-\\arcsin \\dfrac{2}{5}$;\\\\\n(2) $x=\\pi-\\arccos \\dfrac{2}{3}$或$\\pi+\\arccos \\dfrac{2}{3}$;\\\\\n(3) $x=k\\pi- \\arctan \\dfrac{1}{2},k \\in \\mathbf{Z}$.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483660,7 +483660,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$300\\sqrt{3}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483718,7 +483718,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\theta=\\dfrac{\\pi}{12}$;塔高为$1.5$千米.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483747,7 +483747,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$64.81$米",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483776,7 +483776,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "(1) $3.9$千米;(2) $4.0$千米.",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483805,7 +483805,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$2.4$千米",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483834,7 +483834,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "", "ans": "$\\dfrac{\\pi}{2}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -483863,7 +483863,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "选择题", "genre": "选择题",
"ans": "", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [ "usages": [
@ -540489,7 +540489,7 @@
"objs": [], "objs": [],
"tags": [], "tags": [],
"genre": "解答题", "genre": "解答题",
"ans": "(1)最小正周期为$\\pi$，单调减区间为$[k\\pi+\\dfrac{\\pi}{12},k\\pi+\\dfrac 7{12}\\pi],k \\in \\mathbb{Z}$\\\\\n(2)$y_{max}=\\sqrt{3},x=\\dfrac{\\pi}6$时取；$y_{min}=-2,x=\\dfrac 7{12}\\pi$时取", "ans": "(1)最小正周期为$\\pi$，单调减区间为$[k\\pi+\\dfrac{\\pi}{12},k\\pi+\\dfrac 7{12}\\pi],k \\in \\mathbb{Z}$\\\\\n(2)$y_{\\max}=\\sqrt{3},x=\\dfrac{\\pi}6$时取; $y_{\\min}=-2,x=\\dfrac 7{12}\\pi$时取",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [],