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添加部分高一答案

This commit is contained in:
weiye.wang 2023-05-03 21:22:22 +08:00
parent 511becf3fb
commit 33a375e9f2
3 changed files with 311 additions and 63 deletions
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252
工具/文本文件/metadata.txt
View File

@ -1215,9 +1215,257 @@ $6+\sqrt{15}$
040282
(1) $b=1,c=\sqrt{13}$;\\
(2) 等腰三角形或直角三角形
$(1)b=1,c=\sqrt{13}$;\\
$(2)$等腰三角形或直角三角形
040283
$S=T$
040336
$-\dfrac {24}{25}$
040337
$\dfrac{\sqrt{3}}2$
040338
$2$
040339
$2\sin(\alpha+\dfrac 23 \pi)$
040340
$-\dfrac 12$
040341
$-4$
040342
$\{\dfrac {23}{12}\pi,\dfrac{7}{12}\pi\}$
040343
$3$
040344
$-\dfrac 12$
040345
B
040346
C
040347
A
040348
(1)$\dfrac 13$\\
(2)$\dfrac{\pi}4$
040349
(1)$2k$;\\
(2)$10k$;\\
(3)$\dfrac2{25}\sqrt{5}$
040350
$-\dfrac 13$
040351
$x=2k\pi+\dfrac{\pi}2,k \in \mathbb{Z}$
040352
$\pi$
040353
$-\dfrac 45$
040354
$\{x|k\pi \leq x < k\pi+\dfrac{\pi}2,k \in \mathbb{Z}\}$
040355
$-2$
040356
$\{0,\pi,-\dfrac{\pi}3,\dfrac{\pi}3,\dfrac 53 \pi\}$
040357
$(1,+\infty)$
040358
$[2^{-\dfrac 14},4]$
040359
$[0,\dfrac 23\pi]$
040360
$\dfrac {\pi}6$
040361
$16$
040362
D
040363
B
040364
(1)$\omega =2$，定义域为$\{x|x\neq \dfrac{k\pi}2+\dfrac{\pi}8,k \in \mathbb{Z}\}$\\
(2)$\dfrac 43$
040365
(1)$500\sqrt{7}$\\
(2)55706元
040366
(1)$x \leq \log_2 3$\\
(2)$k \in [\dfrac{225}{271},\dfrac{19}9)$
040367
(1)$m=2$\\
(2)在$(-2,2)$上严格减\\
(3)$\dfrac {13}4$
040396
$\{x|2k\pi+\dfrac{\pi}4<x<2k\pi+\dfrac 34 \pi, k\in \mathbb{Z} \}$
040397
$\{x|2k\pi+\dfrac{\pi}4 \leq x \leq 2k\pi+\dfrac 54 \pi, k\in \mathbb{Z} \}$
040398
$[k\pi+\dfrac{\pi}{4},k\pi+\dfrac 34 \pi],k \in \mathbb{Z}$
040399
$[4k\pi-\dfrac 83 \pi,4k\pi-\dfrac 23 \pi],k \in \mathbb{Z}$
040400
$[2k\pi-\dfrac {\pi}3 ,2k\pi+\dfrac {\pi}6],k \in \mathbb{Z}$
040401
$\{x|x=k\pi-\dfrac 38\pi,k \in \mathbb{Z}\}$
040402
$(-\dfrac 14,2]$
040403
$[-1,2]$
040404
$3,\dfrac{\pi}3$
040405
$y=3\cos(2x+\dfrac{\pi}3)$
040406
$\dfrac 12\sin(2x-\dfrac{\pi}2)+1$
040407
$[\dfrac{197}2 \pi,\dfrac{201}2 \pi)$
040408
$(0,\dfrac 32]$
040409
$[0,\sqrt{2}+\dfrac 32]$
040410
(1)$f(x)=2\sin(\dfrac{\pi}4x+\dfrac{\pi}4)$\\
(2)$x=-\dfrac 23$时，取最大值为$\sqrt{6}$;$x=-4$时，取最小值为$-2\sqrt{2}$
040411
$199$个
040412
(1)$T=\pi$\\
(2)非奇非偶函数\\
(3)增区间为$[k\pi-\dfrac{\pi}3,k\pi+\dfrac{\pi}6],k\in \mathbb{Z}$,减区间为$[k\pi+\dfrac{\pi}{6},k\pi+\dfrac 23\pi],k\in \mathbb{Z}$\\
(4)$y_{min}=1,x=\dfrac{\pi}2;y_{max}=\dfrac 52,x=\dfrac{\pi}6$
040413
$-1-\sqrt{2}<a<1+\sqrt{2}$
040414
$2$
040415
$[2k-1,2k],k \in \mathbb{Z}$
040416
$\dfrac{\pi}2$
040417
$[0,\dfrac 38 \pi]$和$[\dfrac 78 \pi, \pi]$
040418
$\pm \dfrac{\pi}2$
040419
$y=\sin(4x)$
040420
(1)$\dfrac{\pi}6$\\
(2)$\sqrt{3}$
040421
(1)最小正周期为$\pi$，单调减区间为$[k\pi+\dfrac{\pi}{12},k\pi+\dfrac 7{12}\pi],k \in \mathbb{Z}$\\
(2)$y_{max}=\sqrt{3},x=\dfrac{\pi}6$时取；$y_{min}=-2,x=\dfrac 7{12}\pi$时取

2
工具/题号选题pdf生成.py
View File

@ -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---"""

120
题库0.3/Problems.json
View File

@ -530856,7 +530856,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "(1) $b=1,c=\\sqrt{13}$;\\\\\n(2) 等腰三角形或直角三角形",
"ans": "$(1)b=1,c=\\sqrt{13}$;\\\\\n$(2)$等腰三角形或直角三角形",
"solution": "",
"duration": -1,
"usages": [],
@ -530876,7 +530876,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$S=T$",
"solution": "",
"duration": -1,
"usages": [],
@ -531938,7 +531938,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac {24}{25}$",
"solution": "",
"duration": -1,
"usages": [],
@ -531958,7 +531958,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\sqrt{3}}2$",
"solution": "",
"duration": -1,
"usages": [],
@ -531978,7 +531978,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$2$",
"solution": "",
"duration": -1,
"usages": [],
@ -531998,7 +531998,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$2\\sin(\\alpha+\\dfrac 23 \\pi)$",
"solution": "",
"duration": -1,
"usages": [],
@ -532018,7 +532018,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac 12$",
"solution": "",
"duration": -1,
"usages": [],
@ -532038,7 +532038,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-4$",
"solution": "",
"duration": -1,
"usages": [],
@ -532058,7 +532058,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{\\dfrac {23}{12}\\pi,\\dfrac{7}{12}\\pi\\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -532078,7 +532078,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$3$",
"solution": "",
"duration": -1,
"usages": [],
@ -532098,7 +532098,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac 12$",
"solution": "",
"duration": -1,
"usages": [],
@ -532118,7 +532118,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@ -532138,7 +532138,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@ -532158,7 +532158,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@ -532178,7 +532178,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$\\dfrac 13$\\\\\n(2)$\\dfrac{\\pi}4$",
"solution": "",
"duration": -1,
"usages": [],
@ -532198,7 +532198,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$2k$;\\\\\n(2)$10k$;\\\\\n(3)$\\dfrac2{25}\\sqrt{5}$",
"solution": "",
"duration": -1,
"usages": [],
@ -532218,7 +532218,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac 13$",
"solution": "",
"duration": -1,
"usages": [],
@ -532238,7 +532238,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$x=2k\\pi+\\dfrac{\\pi}2,k \\in \\mathbb{Z}$",
"solution": "",
"duration": -1,
"usages": [],
@ -532258,7 +532258,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\pi$",
"solution": "",
"duration": -1,
"usages": [],
@ -532278,7 +532278,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-\\dfrac 45$",
"solution": "",
"duration": -1,
"usages": [],
@ -532298,7 +532298,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{x|k\\pi \\leq x < k\\pi+\\dfrac{\\pi}2,k \\in \\mathbb{Z}\\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -532318,7 +532318,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-2$",
"solution": "",
"duration": -1,
"usages": [],
@ -532338,7 +532338,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{0,\\pi,-\\dfrac{\\pi}3,\\dfrac{\\pi}3,\\dfrac 53 \\pi\\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -532358,7 +532358,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(1,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@ -532380,7 +532380,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[2^{-\\dfrac 14},4]$",
"solution": "",
"duration": -1,
"usages": [],
@ -532400,7 +532400,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[0,\\dfrac 23\\pi]$",
"solution": "",
"duration": -1,
"usages": [
@ -532438,7 +532438,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac {\\pi}6$",
"solution": "",
"duration": -1,
"usages": [],
@ -532458,7 +532458,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$16$",
"solution": "",
"duration": -1,
"usages": [],
@ -532478,7 +532478,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@ -532498,7 +532498,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@ -532518,7 +532518,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$\\omega =2$，定义域为$\\{x|x\\neq \\dfrac{k\\pi}2+\\dfrac{\\pi}8,k \\in \\mathbb{Z}\\}$\\\\\n(2)$\\dfrac 43$",
"solution": "",
"duration": -1,
"usages": [],
@ -532538,7 +532538,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$500\\sqrt{7}$\\\\\n(2)55706元",
"solution": "",
"duration": -1,
"usages": [],
@ -532558,7 +532558,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$x \\leq \\log_2 3$\\\\\n(2)$k \\in [\\dfrac{225}{271},\\dfrac{19}9)$",
"solution": "",
"duration": -1,
"usages": [],
@ -532578,7 +532578,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$m=2$\\\\\n(2)在$(-2,2)$上严格减\\\\\n(3)$\\dfrac {13}4$",
"solution": "",
"duration": -1,
"usages": [],
@ -533160,7 +533160,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{x|2k\\pi+\\dfrac{\\pi}4<x<2k\\pi+\\dfrac 34 \\pi, k\\in \\mathbb{Z} \\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533180,7 +533180,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{x|2k\\pi+\\dfrac{\\pi}4 \\leq x \\leq 2k\\pi+\\dfrac 54 \\pi, k\\in \\mathbb{Z} \\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533202,7 +533202,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[k\\pi+\\dfrac{\\pi}{4},k\\pi+\\dfrac 34 \\pi],k \\in \\mathbb{Z}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533222,7 +533222,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[4k\\pi-\\dfrac 83 \\pi,4k\\pi-\\dfrac 23 \\pi],k \\in \\mathbb{Z}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533242,7 +533242,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[2k\\pi-\\dfrac {\\pi}3 ,2k\\pi+\\dfrac {\\pi}6],k \\in \\mathbb{Z}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533262,7 +533262,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{x|x=k\\pi-\\dfrac 38\\pi,k \\in \\mathbb{Z}\\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533282,7 +533282,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(-\\dfrac 14,2]$",
"solution": "",
"duration": -1,
"usages": [],
@ -533302,7 +533302,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[-1,2]$",
"solution": "",
"duration": -1,
"usages": [],
@ -533322,7 +533322,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$3,\\dfrac{\\pi}3$",
"solution": "",
"duration": -1,
"usages": [],
@ -533342,7 +533342,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$y=3\\cos(2x+\\dfrac{\\pi}3)$",
"solution": "",
"duration": -1,
"usages": [],
@ -533362,7 +533362,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac 12\\sin(2x-\\dfrac{\\pi}2)+1$",
"solution": "",
"duration": -1,
"usages": [],
@ -533382,7 +533382,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[\\dfrac{197}2 \\pi,\\dfrac{201}2 \\pi)$",
"solution": "",
"duration": -1,
"usages": [],
@ -533402,7 +533402,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(0,\\dfrac 32]$",
"solution": "",
"duration": -1,
"usages": [],
@ -533422,7 +533422,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$[0,\\sqrt{2}+\\dfrac 32]$",
"solution": "",
"duration": -1,
"usages": [],
@ -533442,7 +533442,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$f(x)=2\\sin(\\dfrac{\\pi}4x+\\dfrac{\\pi}4)$\\\\\n(2)$x=-\\dfrac 23$时，取最大值为$\\sqrt{6}$;$x=-4$时，取最小值为$-2\\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533462,7 +533462,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$199$个",
"solution": "",
"duration": -1,
"usages": [],
@ -533482,7 +533482,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$T=\\pi$\\\\\n(2)非奇非偶函数\\\\\n(3)增区间为$[k\\pi-\\dfrac{\\pi}3,k\\pi+\\dfrac{\\pi}6],k\\in \\mathbb{Z}$,减区间为$[k\\pi+\\dfrac{\\pi}{6},k\\pi+\\dfrac 23\\pi],k\\in \\mathbb{Z}$\\\\\n(4)$y_{min}=1,x=\\dfrac{\\pi}2;y_{max}=\\dfrac 52,x=\\dfrac{\\pi}6$",
"solution": "",
"duration": -1,
"usages": [],
@ -533502,7 +533502,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "$-1-\\sqrt{2}<a<1+\\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533522,7 +533522,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$2$",
"solution": "",
"duration": -1,
"usages": [],
@ -533542,7 +533542,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[2k-1,2k],k \\in \\mathbb{Z}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533562,7 +533562,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\pi}2$",
"solution": "",
"duration": -1,
"usages": [
@ -533597,7 +533597,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[0,\\dfrac 38 \\pi]$和$[\\dfrac 78 \\pi, \\pi]$",
"solution": "",
"duration": -1,
"usages": [],
@ -533617,7 +533617,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\pm \\dfrac{\\pi}2$",
"solution": "",
"duration": -1,
"usages": [],
@ -533637,7 +533637,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$y=\\sin(4x)$",
"solution": "",
"duration": -1,
"usages": [],
@ -533657,7 +533657,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1)$\\dfrac{\\pi}6$\\\\\n(2)$\\sqrt{3}$",
"solution": "",
"duration": -1,
"usages": [],
@ -533677,7 +533677,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"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": [],