From 9fac56fa4eae5dda8c0d74b2834fa0701a738d5a Mon Sep 17 00:00:00 2001 From: "weiye.wang" Date: Tue, 16 May 2023 22:10:41 +0800 Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E4=B8=80=E4=BA=9B=E9=AB=98?= =?UTF-8?q?=E4=B8=80=E7=9A=84=E7=AD=94=E6=A1=88?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- 工具/文本文件/metadata.txt | 274 +------------------------------------ 工具/题号选题pdf生成.py | 2 +- 题库0.3/Problems.json | 186 ++++++++++++------------- 3 files changed, 97 insertions(+), 365 deletions(-) diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 89171078..d52dd33d 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,272 +1,4 @@ -usages - -013347 -20230511 2023届高三10班 1.000 - -013348 -20230511 2023届高三10班 1.000 - -013349 -20230511 2023届高三10班 0.931 - -013350 -20230511 2023届高三10班 0.828 - -013351 -20230511 2023届高三10班 0.897 - -013352 -20230511 2023届高三10班 1.000 - -013353 -20230511 2023届高三10班 0.931 - -013354 -20230511 2023届高三10班 0.966 - -013355 -20230511 2023届高三10班 0.966 - -013356 -20230511 2023届高三10班 0.586 - -013357 -20230511 2023届高三10班 0.931 - -013358 -20230511 2023届高三10班 0.621 - -013359 -20230511 2023届高三10班 0.552 - -013360 -20230511 2023届高三10班 0.862 0.448 - -013361 -20230511 2023届高三10班 0.897 0.724 - -013347 -20230511 2023届高三11班 0.900 - -013348 -20230511 2023届高三11班 0.950 - -013349 -20230511 2023届高三11班 1.000 - -013350 -20230511 2023届高三11班 0.800 - -013351 -20230511 2023届高三11班 0.850 - -013352 -20230511 2023届高三11班 1.000 - -013353 -20230511 2023届高三11班 0.850 - -013354 -20230511 2023届高三11班 1.000 - -013355 -20230511 2023届高三11班 0.900 - -013356 -20230511 2023届高三11班 0.250 - -013357 -20230511 2023届高三11班 0.950 - -013358 -20230511 2023届高三11班 0.800 - -013359 -20230511 2023届高三11班 0.650 - -013360 -20230511 2023届高三11班 0.850 0.550 - -013361 -20230511 2023届高三11班 0.850 0.700 - -013347 -20230511 2023届高三12班 0.850 - -013348 -20230511 2023届高三12班 0.900 - -013349 -20230511 2023届高三12班 0.950 - -013350 -20230511 2023届高三12班 0.900 - -013351 -20230511 2023届高三12班 0.900 - 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-013349 -20230511 2023届高三08班 1.000 - -013350 -20230511 2023届高三08班 0.800 - -013351 -20230511 2023届高三08班 0.933 - -013352 -20230511 2023届高三08班 1.000 - -013353 -20230511 2023届高三08班 0.933 - -013354 -20230511 2023届高三08班 0.967 - -013355 -20230511 2023届高三08班 0.933 - -013356 -20230511 2023届高三08班 0.567 - -013357 -20230511 2023届高三08班 0.800 - -013358 -20230511 2023届高三08班 0.700 - -013359 -20230511 2023届高三08班 0.667 - -013360 -20230511 2023届高三08班 0.800 0.333 - -013361 -20230511 2023届高三08班 0.933 0.733 - -013347 -20230511 2023届高三09班 0.931 - -013348 -20230511 2023届高三09班 0.966 - -013349 -20230511 2023届高三09班 0.931 - -013350 -20230511 2023届高三09班 0.828 - -013351 -20230511 2023届高三09班 0.862 - -013352 -20230511 2023届高三09班 0.966 - -013353 -20230511 2023届高三09班 0.966 - -013354 -20230511 2023届高三09班 0.931 - -013355 -20230511 2023届高三09班 0.862 - -013356 -20230511 2023届高三09班 0.414 - -013357 -20230511 2023届高三09班 0.966 - -013358 -20230511 2023届高三09班 0.552 - -013359 -20230511 2023届高三09班 0.483 - -013360 -20230511 2023届高三09班 0.793 0.586 - -013361 -20230511 2023届高三09班 0.931 0.621 +ans +021639 +B diff --git a/工具/题号选题pdf生成.py b/工具/题号选题pdf生成.py index 348f755a..7689714d 100644 --- a/工具/题号选题pdf生成.py +++ b/工具/题号选题pdf生成.py @@ -7,7 +7,7 @@ import os,re,time,json,sys """---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 problems = r""" -a + """ """---设置题目列表结束---""" diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index c1446dff..7e023968 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -481140,7 +481140,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{2+\\sqrt{15}}{6}$", "solution": "", "duration": -1, "usages": [ @@ -481170,7 +481170,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{\\sqrt{2}}{2}$", "solution": "", "duration": -1, "usages": [ @@ -481200,7 +481200,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\sin 2\\beta$", "solution": "", "duration": -1, "usages": [ @@ -481230,7 +481230,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [ @@ -481260,7 +481260,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$2-\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -481290,7 +481290,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{16}{65}$", "solution": "", "duration": -1, "usages": [ @@ -481320,7 +481320,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{7}{25}$", "solution": "", "duration": -1, "usages": [ @@ -481350,7 +481350,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{4\\sqrt{14}+3\\sqrt{2}}{20}$", "solution": "", "duration": -1, "usages": [ @@ -481380,7 +481380,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$(\\dfrac{4\\sqrt{3}+3}{2},\\dfrac{3\\sqrt{3}-4}{2})$", "solution": "", "duration": -1, "usages": [ @@ -481410,7 +481410,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{33}{65}$或$\\dfrac{63}{65}$", "solution": "", "duration": -1, "usages": [ @@ -481440,7 +481440,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -481470,7 +481470,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [ @@ -481500,7 +481500,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{56}{65}$", "solution": "", "duration": -1, "usages": [ @@ -481530,7 +481530,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-3$", "solution": "", "duration": -1, "usages": [ @@ -481560,7 +481560,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{3}{4}$", "solution": "", "duration": -1, "usages": [ @@ -481590,7 +481590,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{-6+5\\sqrt{3}}{3}$", "solution": "", "duration": -1, "usages": [ @@ -481620,7 +481620,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\tan \\alpha$", "solution": "", "duration": -1, "usages": [ @@ -481650,7 +481650,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -481680,7 +481680,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{\\sqrt{3}}{3}$", "solution": "", "duration": -1, "usages": [ @@ -481710,7 +481710,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [ @@ -481740,7 +481740,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{17}{31}$", "solution": "", "duration": -1, "usages": [ @@ -481770,7 +481770,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\pi}{4}$", "solution": "", "duration": -1, "usages": [ @@ -481800,7 +481800,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{1}{3}$;\n(2) $\\dfrac{1}{7}$", "solution": "", "duration": -1, "usages": [ @@ -481830,7 +481830,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{1}{5}$", "solution": "", "duration": -1, "usages": [ @@ -481860,7 +481860,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "当$CD = 1.4$米时,$\\tan \\angle ACB$最大", "solution": "", "duration": -1, "usages": [ @@ -481890,7 +481890,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "(1) $2 \\sin (\\alpha+\\dfrac{\\pi}{6})$;\n(2) $\\sqrt{2} \\sin (\\alpha+\\dfrac{7\\pi}{4})$.", "solution": "", "duration": -1, "usages": [ @@ -481919,7 +481919,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$6\\cos(\\alpha+\\dfrac{\\pi}{3})$", "solution": "", "duration": -1, "usages": [ @@ -481948,7 +481948,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$2k \\pi-\\dfrac{\\pi}{3}(k\\in \\mathbf{Z} )$", "solution": "", "duration": -1, "usages": [ @@ -481979,7 +481979,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -482010,7 +482010,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{1}{3}$", "solution": "", "duration": -1, "usages": [ @@ -482039,7 +482039,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\pi}{12}$或$\\dfrac{5\\pi}{12}$", "solution": "", "duration": -1, "usages": [ @@ -482068,7 +482068,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$5$", "solution": "", "duration": -1, "usages": [ @@ -482097,7 +482097,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{13}{3}$", "solution": "", "duration": -1, "usages": [ @@ -482126,7 +482126,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{p}{1+q}$", "solution": "", "duration": -1, "usages": [ @@ -482155,7 +482155,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{3}{5}$", "solution": "", "duration": -1, "usages": [ @@ -482184,7 +482184,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{24}{7}$", "solution": "", "duration": -1, "usages": [ @@ -482213,7 +482213,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{24}{25}$", "solution": "", "duration": -1, "usages": [ @@ -482242,7 +482242,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{15}{17}$", "solution": "", "duration": -1, "usages": [ @@ -482271,7 +482271,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [ @@ -482300,7 +482300,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{24}{25}$; $\\dfrac{7}{25}$; $\\dfrac{24}{7}$", "solution": "", "duration": -1, "usages": [], @@ -482320,7 +482320,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $-\\dfrac{\\sqrt{3}}{3}$;\\\\\n(2) $\\dfrac{3}{4}$.", "solution": "", "duration": -1, "usages": [ @@ -482349,7 +482349,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{7}{24}$", "solution": "", "duration": -1, "usages": [ @@ -482378,7 +482378,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$-\\dfrac{2\\sqrt{10}}{5}$", "solution": "", "duration": -1, "usages": [ @@ -482407,7 +482407,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$1$", "solution": "", "duration": -1, "usages": [ @@ -482465,7 +482465,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$1$或$\\dfrac{7}{25}$", "solution": "", "duration": -1, "usages": [ @@ -482494,7 +482494,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{\\sqrt{2-2a}}{2}$", "solution": "", "duration": -1, "usages": [ @@ -482523,7 +482523,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "第三象限", "solution": "", "duration": -1, "usages": [ @@ -482552,7 +482552,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [ @@ -482581,7 +482581,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{3}{5}$;$\\dfrac{4}{5}$", "solution": "", "duration": -1, "usages": [ @@ -482639,7 +482639,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{2}{3}$", "solution": "", "duration": -1, "usages": [ @@ -482668,7 +482668,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\cos \\alpha-\\sin \\alpha$", "solution": "", "duration": -1, "usages": [ @@ -482697,7 +482697,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\sin \\dfrac{ \\alpha}{2}$", "solution": "", "duration": -1, "usages": [ @@ -482726,7 +482726,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $\\tan \\dfrac{\\theta}{2}$; (2) $\\sin \\alpha$.", "solution": "", "duration": -1, "usages": [ @@ -482755,7 +482755,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{6}}{2}$", "solution": "", "duration": -1, "usages": [ @@ -482783,7 +482783,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$30^{\\circ}$或$90^{\\circ}$", "solution": "", "duration": -1, "usages": [ @@ -482811,7 +482811,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{6}$", "solution": "", "duration": -1, "usages": [ @@ -482839,7 +482839,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$55$", "solution": "", "duration": -1, "usages": [ @@ -482867,7 +482867,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\pi}{3}$或$\\dfrac{2\\pi}{3}$", "solution": "", "duration": -1, "usages": [ @@ -482895,7 +482895,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$1: \\sqrt{3}: 2$", "solution": "", "duration": -1, "usages": [ @@ -482923,7 +482923,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$2$", "solution": "", "duration": -1, "usages": [ @@ -482951,7 +482951,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{5}{8}$", "solution": "", "duration": -1, "usages": [ @@ -482979,7 +482979,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "等腰", "solution": "", "duration": -1, "usages": [ @@ -483007,7 +483007,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{3\\sqrt{2}}{2}$", "solution": "", "duration": -1, "usages": [ @@ -483035,7 +483035,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -483063,7 +483063,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{7\\pi}{12}$", "solution": "", "duration": -1, "usages": [ @@ -483091,7 +483091,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{2\\pi}{3}$", "solution": "", "duration": -1, "usages": [ @@ -483119,7 +483119,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [ @@ -483147,7 +483147,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{3\\sqrt{7}}{8}$", "solution": "", "duration": -1, "usages": [ @@ -483176,7 +483176,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{17}$或$\\sqrt{65}$", "solution": "", "duration": -1, "usages": [ @@ -483205,7 +483205,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\pi}{4}$", "solution": "", "duration": -1, "usages": [ @@ -483234,7 +483234,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{1};\\textcircled{2}", "solution": "", "duration": -1, "usages": [ @@ -483263,7 +483263,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$a>3$", "solution": "", "duration": -1, "usages": [ @@ -483292,7 +483292,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$a=\\sqrt{21}$和$\\sin B=\\dfrac{5\\sqrt{7}}{14}$", "solution": "", "duration": -1, "usages": [ @@ -483321,7 +483321,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{2\\pi}{3}$", "solution": "", "duration": -1, "usages": [ @@ -483350,7 +483350,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$c=\\sqrt{6}+\\sqrt{2}$;$C=75^\\circ$.", "solution": "", "duration": -1, "usages": [ @@ -483379,7 +483379,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{19}}{2}$", "solution": "", "duration": -1, "usages": [ @@ -483408,7 +483408,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [ @@ -483437,7 +483437,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{5}}{5}$", "solution": "", "duration": -1, "usages": [ @@ -483466,7 +483466,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{2\\sqrt{5}}{5}$或$-\\dfrac{2\\sqrt{5}}{25}$", "solution": "", "duration": -1, "usages": [], @@ -483486,7 +483486,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{5}}{5}$或$\\dfrac{11\\sqrt{5}}{25}$", "solution": "", "duration": -1, "usages": [ @@ -483515,7 +483515,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\left ( 2,2\\sqrt{2} \\right )$", "solution": "", "duration": -1, "usages": [ @@ -483544,7 +483544,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [ @@ -483573,7 +483573,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$a=\\sqrt{13}$;$R=\\dfrac{\\sqrt{39}}{3}$.", "solution": "", "duration": -1, "usages": [ @@ -483602,7 +483602,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$6\\sqrt{19}$", "solution": "", "duration": -1, "usages": [ @@ -483631,7 +483631,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [ @@ -483660,7 +483660,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$300\\sqrt{3}$", "solution": "", "duration": -1, "usages": [ @@ -483718,7 +483718,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\theta=\\dfrac{\\pi}{12}$;塔高为$1.5$千米.", "solution": "", "duration": -1, "usages": [ @@ -483747,7 +483747,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$64.81$米", "solution": "", "duration": -1, "usages": [ @@ -483776,7 +483776,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $3.9$千米;(2) $4.0$千米.", "solution": "", "duration": -1, "usages": [ @@ -483805,7 +483805,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$2.4$千米", "solution": "", "duration": -1, "usages": [ @@ -483834,7 +483834,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "$\\dfrac{\\pi}{2}$", "solution": "", "duration": -1, "usages": [ @@ -483863,7 +483863,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [ @@ -540489,7 +540489,7 @@ "objs": [], "tags": [], "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": "", "duration": -1, "usages": [],