导入部分高一材料答案

This commit is contained in:
weiye.wang 2023-04-28 20:46:04 +08:00
parent 42eead528e
commit 329d395942
4 changed files with 1170 additions and 494 deletions

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@ -1,6 +1,6 @@
import os,re,json
"""这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭, 随后运行第二个代码块"""
problems = "14911"
problems = "40070"
def generate_number_set(string,dict):
string = re.sub(r"[\n\s]","",string)

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@ -7,13 +7,13 @@ 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
21529
"""
"""---设置题目列表结束---"""
"""---设置文件名---"""
#目录和文件的分隔务必用/
filename = "临时文件/双基百分百2022"
filename = "临时文件/临时"
"""---设置文件名结束---"""
"""---设置是否需要解答题的空格---"""

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@ -434577,7 +434577,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) 第四象限; 第四象限; \\\\\n(2) 第二象限或者第四象限; 第一象限或第二象限或者$y$轴正半轴.",
"ans": "(1) 第四象限;第四象限;\\\\\n(2) 第二象限或者第四象限;第一象限或第二象限或者$y$轴正半轴.",
"solution": "",
"duration": -1,
"usages": [
@ -434855,7 +434855,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "当$\\alpha$在第二象限时, $ \\sin \\alpha =\\frac{4}{5}$, $\\tan \\alpha=-\\frac{4}{3}$;\\\\\n当$\\alpha$在第三象限时, $ \\sin \\alpha =-\\frac{4}{5}$, $\\tan \\alpha=\\frac{4}{3}$.",
"ans": "当$\\alpha$在第二象限时$ \\sin \\alpha =\\frac{4}{5}$, $\\tan \\alpha=-\\frac{4}{3}$;\\\\\n当$\\alpha$在第三象限时,$ \\sin \\alpha =-\\frac{4}{5}$, $\\tan \\alpha=\\frac{4}{3}$.",
"solution": "",
"duration": -1,
"usages": [
@ -434911,7 +434911,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) 第四象限; (2) 第一、四象限; (3)第一、三象限; (4)第一、三象限.",
"ans": "(1) 第四象限 (2) 第一、四象限;(3)第一、三象限;(4)第一、三象限.",
"solution": "",
"duration": -1,
"usages": [
@ -435107,7 +435107,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "当$\\alpha$在第一象限时, $ \\sin \\alpha =\\frac{3\\sqrt{10}}{10}$, $\\cos \\alpha =\\frac{\\sqrt{10}}{10}$,$\\tan \\alpha=3$;\\\\\n当$\\alpha$在第三象限时, $ \\sin \\alpha =-\\frac{3\\sqrt{10}}{10}$,$\\cos \\alpha =-\\frac{\\sqrt{10}}{10}$, $\\tan \\alpha=3$.",
"ans": "当$\\alpha$在第一象限时$ \\sin \\alpha =\\frac{3\\sqrt{10}}{10}$, $\\cos \\alpha =\\frac{\\sqrt{10}}{10}$,$\\tan \\alpha=3$;\\\\\n当$\\alpha$在第三象限时$ \\sin \\alpha =-\\frac{3\\sqrt{10}}{10}$,$\\cos \\alpha =-\\frac{\\sqrt{10}}{10}$, $\\tan \\alpha=3$.",
"solution": "",
"duration": -1,
"usages": [
@ -435219,7 +435219,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) 当$\\dfrac{\\alpha}{2}$在第二象限时, 点$P$在第四象限; \\\\\n当$\\dfrac{\\alpha}{2}$在第四象限时, 点$P$在第二象限.\\\\\n(2) $\\sin (\\cos \\alpha) \\cdot \\cos (\\sin \\alpha)<0$",
"ans": "(1) 当$\\dfrac{\\alpha}{2}$在第二象限时,点$P$在第四象限;\\\\\n当$\\dfrac{\\alpha}{2}$在第四象限时,点$P$在第二象限.\\\\\n(2) $\\sin (\\cos \\alpha) \\cdot \\cos (\\sin \\alpha)<0$",
"solution": "",
"duration": -1,
"usages": [
@ -435247,7 +435247,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "当$m=0$时, $ \\cos (\\alpha+1905^{\\circ})=-1$,$\\tan (\\alpha-615^{\\circ})=0$;\\\\\n当$m=\\sqrt{5}$时, $ \\cos (\\alpha+1905^{\\circ}) =-\\frac{\\sqrt{6}}{4}$,$\\tan (\\alpha-615^{\\circ})=-\\frac{\\sqrt{15}}{3}$;\\\\\n当$m=-\\sqrt{5}$时, $ \\cos (\\alpha+1905^{\\circ}) =-\\frac{\\sqrt{6}}{4}$,$\\tan (\\alpha-615^{\\circ})=\\frac{\\sqrt{15}}{3}$.",
"ans": "当$m=0$时$ \\cos (\\alpha+1905^{\\circ})=-1$,$\\tan (\\alpha-615^{\\circ})=0$;\\\\\n当$m=\\sqrt{5}$时,$ \\cos (\\alpha+1905^{\\circ}) =-\\frac{\\sqrt{6}}{4}$,$\\tan (\\alpha-615^{\\circ})=-\\frac{\\sqrt{15}}{3}$;\\\\\n当$m=-\\sqrt{5}$时$ \\cos (\\alpha+1905^{\\circ}) =-\\frac{\\sqrt{6}}{4}$,$\\tan (\\alpha-615^{\\circ})=\\frac{\\sqrt{15}}{3}$.",
"solution": "",
"duration": -1,
"usages": [
@ -435993,7 +435993,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$-\\dfrac{2+\\sqrt{3}}{3}$",
"solution": "",
"duration": -1,
"usages": [
@ -436023,7 +436023,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{\\sqrt{3}}{2}$;(2) $\\dfrac{1}{4}$.",
"solution": "",
"duration": -1,
"usages": [
@ -436053,7 +436053,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "(1) $-\\dfrac{2}{3}$; \\\\\n(2) $\\dfrac{2}{3}$; \\\\\n(3) $-\\dfrac{\\sqrt{5}}{3}$;\\\\\n(4) $\\dfrac{\\sqrt{5}}{2}$.",
"solution": "",
"duration": -1,
"usages": [
@ -436082,7 +436082,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "(1) $\\sin 69^{\\circ}$ ; (2) $-\\cos 8^{\\circ}$ ; \n(3) $-\\tan \\dfrac{\\pi}{9}$; (4) $\\cot \\dfrac{7\\pi}{15}$.",
"solution": "",
"duration": -1,
"usages": [
@ -436111,7 +436111,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{2}{5}$",
"solution": "",
"duration": -1,
"usages": [
@ -436140,7 +436140,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(3,4)$",
"solution": "",
"duration": -1,
"usages": [
@ -436169,7 +436169,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$0$",
"solution": "",
"duration": -1,
"usages": [
@ -436198,7 +436198,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$\\sin \\alpha$",
"solution": "",
"duration": -1,
"usages": [
@ -436227,7 +436227,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$-\\dfrac{1}{5}$",
"solution": "",
"duration": -1,
"usages": [
@ -436256,7 +436256,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "(1) $\\dfrac{\\sqrt{6}}{6}-\\sqrt{3}$;\\\\\n(2) $-\\dfrac{\\sqrt{6}}{3}$;\\\\\n(3) $1$",
"solution": "",
"duration": -1,
"usages": [
@ -436285,7 +436285,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "(1) $\\dfrac{6 \\pi}{5}$; (2) $\\dfrac{4 \\pi}{5}$; (3) $\\dfrac{13 \\pi}{10}$; (4) $\\dfrac{17 \\pi}{10}$.",
"solution": "",
"duration": -1,
"usages": [
@ -436314,7 +436314,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) 当$\\alpha$在第一象限时, $\\sin (2 \\pi-\\alpha)=-\\dfrac{\\sqrt{3}}{2}$;\n当$\\alpha$在第三象限时, $\\sin (2 \\pi-\\alpha)=\\dfrac{\\sqrt{3}}{2}$.\\\\\n(2) 当$\\alpha$在第一象限时, $\\dfrac{1}{\\tan [\\dfrac{(2 k+1) \\pi}{2}+\\alpha]}=-\\sqrt{3}$;\n当$\\alpha$在第四象限时, $\\dfrac{1}{\\tan [\\dfrac{(2 k+1) \\pi}{2}+\\alpha]}=\\sqrt{3}$.",
"solution": "",
"duration": -1,
"usages": [
@ -436343,7 +436343,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "(1) $\\{x | x=k \\pi+ (-1)^k \\cdot \\dfrac{\\pi}{4},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(2) $\\{x | x=2k \\pi \\pm \\dfrac{2\\pi}{3},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(3) $\\{x | x=k \\pi + \\dfrac{5\\pi}{6},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(4) $\\{x | x=2k \\pi + \\dfrac{5\\pi}{6}$ 或$x=2k \\pi + \\dfrac{3\\pi}{2} ,\\ k \\in \\mathbf{Z}\\}$;\\\\\n第二种写法 $\\{x | x=k \\pi+ (-1)^k \\cdot \\dfrac{\\pi}{6}+\\dfrac{2\\pi}{3},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(5) $\\{x | x=k \\pi - \\arctan \\dfrac{\\sqrt{3}}{2}+ \\dfrac{\\pi}{4},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(6) $\\{x | x=\\dfrac{2k \\pi}{5} + \\dfrac{7\\pi}{60}$ 或$ x=\\dfrac{2k \\pi}{5} - \\dfrac{13\\pi}{60} ,\\ k \\in \\mathbf{Z}\\}$;\\\\\n(7) $\\{x | x=k \\pi - \\dfrac{5\\pi}{8}$ 或$x=k \\pi - \\dfrac{3\\pi}{8} ,\\ k \\in \\mathbf{Z}\\}$;",
"solution": "",
"duration": -1,
"usages": [],
@ -436363,7 +436363,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\{ \\dfrac{\\pi}{12},\\dfrac{17\\pi}{12} \\}$;\\\\\n(2) $\\{ \\dfrac{5\\pi}{6} \\}$;\\\\\n(3) $\\{ \\dfrac{\\pi}{12},\\dfrac{5\\pi}{12} \\}$;\\\\\n(4) $\\{ \\dfrac{5\\pi}{6} \\}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -436383,7 +436383,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\{x | x= \\dfrac{2k \\pi}{5} ,\\ k \\in \\mathbf{Z}\\}$;\\\\\n(2) $\\{x | x= \\dfrac{2k \\pi}{3} +\\dfrac{ \\pi}{6},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(3) $\\{x | x= 2k \\pi$ 或$x=k \\pi +(-1)^k \\cdot \\dfrac{ \\pi}{6},\\ k \\in \\mathbf{Z}\\}$;\\\\\n(4) $\\{x | x= k \\pi+\\dfrac{ \\pi}{3}$ 或$x=k \\pi -\\dfrac{ \\pi}{6},\\ k \\in \\mathbf{Z}\\}$.",
"solution": "",
"duration": -1,
"usages": [],
@ -436403,7 +436403,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{3+4\\sqrt{3}}{10}$",
"solution": "",
"duration": -1,
"usages": [
@ -436431,7 +436431,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-1$",
"solution": "",
"duration": -1,
"usages": [
@ -436459,7 +436459,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac{33}{50}$",
"solution": "",
"duration": -1,
"usages": [
@ -436487,7 +436487,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{\\sqrt{6}-\\sqrt{2}}{4}$;\n(2) $\\dfrac{\\sqrt{6}+\\sqrt{2}}{4}$;\n(3) $0$.",
"solution": "",
"duration": -1,
"usages": [
@ -436515,7 +436515,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\sqrt{3} \\sin \\alpha$;\n(2) $\\cos(\\alpha-2\\beta)$.",
"solution": "",
"duration": -1,
"usages": [
@ -436543,7 +436543,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac{140}{221}$",
"solution": "",
"duration": -1,
"usages": [
@ -436571,7 +436571,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac{2\\sqrt{6}-1}{6}$",
"solution": "",
"duration": -1,
"usages": [
@ -436627,7 +436627,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [
@ -436655,7 +436655,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [
@ -436683,7 +436683,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac{3\\sqrt{10}+6\\sqrt{2}+2\\sqrt{14}-\\sqrt{70}}{24}$",
"solution": "",
"duration": -1,
"usages": [
@ -436711,7 +436711,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac{8\\sqrt{3}-21}{20}$",
"solution": "",
"duration": -1,
"usages": [
@ -436739,7 +436739,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$\\dfrac{\\pi}{2}$",
"solution": "",
"duration": -1,
"usages": [
@ -483615,7 +483615,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[7,10]$",
"solution": "",
"duration": -1,
"usages": [
@ -483648,7 +483648,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(-\\infty,-2)\\cup(-2,3]$",
"solution": "",
"duration": -1,
"usages": [
@ -483681,7 +483681,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$2$",
"solution": "",
"duration": -1,
"usages": [
@ -483714,7 +483714,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$7$",
"solution": "",
"duration": -1,
"usages": [
@ -483747,7 +483747,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$a\\ge3$",
"solution": "",
"duration": -1,
"usages": [
@ -483780,7 +483780,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-9$或$3$",
"solution": "",
"duration": -1,
"usages": [
@ -483813,7 +483813,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{1}{27}$",
"solution": "",
"duration": -1,
"usages": [
@ -483846,7 +483846,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[-3,3]$",
"solution": "",
"duration": -1,
"usages": [
@ -483879,7 +483879,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$45$",
"solution": "",
"duration": -1,
"usages": [
@ -483912,7 +483912,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(1,\\dfrac 32]$",
"solution": "",
"duration": -1,
"usages": [
@ -483945,7 +483945,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[0,1]$",
"solution": "",
"duration": -1,
"usages": [
@ -483978,7 +483978,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\sqrt{6}}{4}$",
"solution": "",
"duration": -1,
"usages": [
@ -484011,7 +484011,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "D",
"solution": "",
"duration": -1,
"usages": [
@ -484046,7 +484046,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [
@ -484079,7 +484079,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [
@ -484112,7 +484112,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [
@ -484145,7 +484145,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$(1)a_n=-3n+19,b_n=4^{3-n}\\\\\n(2)1\\le n \\le 28,S_n>T_n;n=29,S_n=T_n;n \\ge 30,S_n<T_n $",
"solution": "",
"duration": -1,
"usages": [
@ -484178,7 +484178,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$(1)[-1,3];(2)a \\ge 2$",
"solution": "",
"duration": -1,
"usages": [
@ -484244,7 +484244,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$(1)a_n=m^n;(2)m=\\dfrac 13;(3)T_n=\\dfrac {2n-3}4 \\cdot 3^{n+1}+ \\dfrac 94$",
"solution": "",
"duration": -1,
"usages": [
@ -484277,7 +484277,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$(1)(-\\infty,2];(2)[2\\sqrt{3},\\dfrac{91}{20}];(3)a=-12,b=\\dfrac{17}2$",
"solution": "",
"duration": -1,
"usages": [
@ -488634,7 +488634,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) 三; (2) 三",
"ans": "(1) 三 (2) 三",
"solution": "",
"duration": -1,
"usages": [],
@ -488854,7 +488854,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) 略; (2) $n^2$",
"ans": "(1) 略 (2) $n^2$",
"solution": "",
"duration": -1,
"usages": [],
@ -488874,7 +488874,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) 不存在; (2) 存在, 如$c_n=2^{n-1}$",
"ans": "(1) 不存在 (2) 存在, 如$c_n=2^{n-1}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492310,7 +492310,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac7{25}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492330,7 +492330,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac {\\sqrt{2}} 2 +\\dfrac 14$",
"solution": "",
"duration": -1,
"usages": [],
@ -492350,7 +492350,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$90^\\circ$",
"solution": "",
"duration": -1,
"usages": [],
@ -492370,7 +492370,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac 1{a}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492390,7 +492390,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac{16}{65}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492410,7 +492410,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{24}{13}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492430,7 +492430,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\sqrt{11}}{6}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492450,7 +492450,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "直角三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -492470,7 +492470,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$120^\\circ$",
"solution": "",
"duration": -1,
"usages": [],
@ -492490,7 +492490,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$-\\dfrac{48}{49}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492510,7 +492510,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "等边三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -492530,7 +492530,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "等腰三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -492550,7 +492550,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "等腰或直角三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -492570,7 +492570,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$30^\\circ$",
"solution": "",
"duration": -1,
"usages": [],
@ -492592,7 +492592,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$30^\\circ$或$90^\\circ$或$150^\\circ$",
"solution": "",
"duration": -1,
"usages": [],
@ -492614,7 +492614,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$2\\sqrt{7}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492634,7 +492634,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac 12$",
"solution": "",
"duration": -1,
"usages": [],
@ -492654,7 +492654,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(0,\\dfrac{\\pi}4]$",
"solution": "",
"duration": -1,
"usages": [],
@ -492674,7 +492674,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac 23 \\pi$; (2) 等腰钝角三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -492694,7 +492694,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{\\sqrt{3}}6$; (2) $\\dfrac{\\sqrt{39}+\\sqrt{3}}2$",
"solution": "",
"duration": -1,
"usages": [],
@ -492714,7 +492714,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{x|\\dfrac{\\pi}6+2k\\pi \\le x \\le \\dfrac 56 \\pi+2k\\pi, k \\in \\mathbb{Z} \\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492734,7 +492734,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[0,3)$",
"solution": "",
"duration": -1,
"usages": [],
@ -492754,7 +492754,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$4$",
"solution": "",
"duration": -1,
"usages": [],
@ -492774,7 +492774,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\pi$",
"solution": "",
"duration": -1,
"usages": [],
@ -492794,7 +492794,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\pi$",
"solution": "",
"duration": -1,
"usages": [],
@ -492814,7 +492814,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\pi}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492834,7 +492834,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\sin{\\dfrac 12 -1}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492854,7 +492854,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "\\textcircled{2}\\textcircled{3}\\textcircled{5}",
"solution": "",
"duration": -1,
"usages": [],
@ -492874,7 +492874,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "等腰直角三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -492894,7 +492894,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{x|\\dfrac{\\pi}4+2k\\pi \\le x \\le \\dfrac 45 \\pi+2k\\pi, k \\in \\mathbb{Z} \\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492916,7 +492916,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$4\\pi$",
"solution": "",
"duration": -1,
"usages": [],
@ -492936,7 +492936,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\pi}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492956,7 +492956,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\sqrt{5}$",
"solution": "",
"duration": -1,
"usages": [],
@ -492976,7 +492976,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$12$",
"solution": "",
"duration": -1,
"usages": [],
@ -492996,7 +492996,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$6+\\sqrt{15}$",
"solution": "",
"duration": -1,
"usages": [],
@ -493016,7 +493016,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "\\textcircled{3} \\textcircled{4}",
"solution": "",
"duration": -1,
"usages": [],
@ -493036,7 +493036,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $b=1,c=\\sqrt{13}$;\\\\\n(2) 等腰三角形或直角三角形",
"solution": "",
"duration": -1,
"usages": [],