20230406 evening

This commit is contained in:
WangWeiye 2023-04-06 19:05:35 +08:00
parent c6021dacd5
commit 3507aeffdb
5 changed files with 327 additions and 276 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 = "10000,10003"
problems = "40070"
def generate_number_set(string,dict):
string = re.sub(r"[\n\s]","",string)

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@ -1,235 +1,3 @@
usages
001050
20220906 2023届高三2班 0.871
009446
20220906 2023届高三2班 0.355
001072
20220906 2023届高三2班 0.774
010060
20220906 2023届高三2班 0.742
000033
20220906 2023届高三2班 0.903
001073
20220906 2023届高三2班 0.935
000023
20220906 2023届高三2班 0.774
002773
20220906 2023届高三2班 0.742
002775
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002784
20220906 2023届高三2班 0.903
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20220906 2023届高三2班 0.581
005150
20220906 2023届高三2班 0.903
002790
20220906 2023届高三2班 0.774
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20220906 2023届高三2班 0.774
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20220906 2023届高三2班 0.968
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20220906 2023届高三2班 0.968
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20220906 2023届高三2班 0.871
002800
20220906 2023届高三2班 0.903
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20220907 2023届高三2班 0.750
001262
20220907 2023届高三2班 0.656
000342
20220907 2023届高三2班 0.125
001238
20220907 2023届高三2班 0.906
001239
20220907 2023届高三2班 0.875
001242
20220907 2023届高三2班 0.844
002831
20220907 2023届高三2班 0.594 0.406
002968
20220907 2023届高三2班 0.531 0.063
009508
20220907 2023届高三2班 1.000
003936
20220907 2023届高三2班 0.906
007984
20220907 2023届高三2班 1.000
009511
20220907 2023届高三2班 0.844
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002851
20220907 2023届高三2班 0.500 0.281
001286
20220907 2023届高三2班 0.906
001292
20220907 2023届高三2班 0.906
010110
20220907 2023届高三2班 1.000 1.000 0.875 0.906
000058
20220907 2023届高三2班 1.000
010114
20220907 2023届高三2班 0.844
001296
20220907 2023届高三2班 1.000
005610
20220907 2023届高三2班 0.906
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20220907 2023届高三2班 0.813
001305
20220907 2023届高三2班 0.813 0.813 0.969 0.969 0.969
010125
20220907 2023届高三2班 0.969
001309
20220907 2023届高三2班 1.000 0.750
005123
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20220907 2023届高三2班 0.469
001340
20220908 2023届高三2班 0.788 0.818 0.879 0.727 0.788
002925
20220908 2023届高三2班 0.939
002911
20220908 2023届高三2班 0.879
002918
20220908 2023届高三2班 0.727
003815
20220908 2023届高三2班 0.939
005568
20220908 2023届高三2班 0.939
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20220908 2023届高三2班 1.000
001324
20220908 2023届高三2班 0.879
001326
20220908 2023届高三2班 0.939 0.970
002871
20220908 2023届高三2班 0.818
002878
20220908 2023届高三2班 0.818 0.818
002898
20220908 2023届高三2班 0.727
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20220908 2023届高三2班 0.879
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20220908 2023届高三2班 0.727
005199
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009490
20220908 2023届高三2班 0.879
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20220909 2023届高三2班 0.813
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20220909 2023届高三2班 0.625
001270
20220909 2023届高三2班 1.000 1.000 0.969 0.781
002888
20220909 2023届高三2班 0.719
001331
20220909 2023届高三2班 0.156
002894
20220909 2023届高三2班 0.844 0.750
001211
20220909 2023届高三2班 0.969 0.906 0.875 0.844 0.750
001218
20220909 2023届高三2班 0.906 0.750 0.625
002893
20220909 2023届高三2班 0.813
002895
20220909 2023届高三2班 0.688
009522
20220909 2023届高三2班 0.563 0.250
remark
14804
(3) 中证明不可能小于$51$的核心是$max(a_{2n-1},a_{2n})$是严格增数列

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@ -1,8 +1,8 @@
import os,re,json,time
"""---设置原题目id与新题目id列表, 新id的数目不能小于旧id的数目---"""
old_ids = "601"
new_ids = "50000"
old_ids = "12213,248,31233,282,8912,9784"
new_ids = "31386:40000"
"""---设置完毕---"""
"""---完成编辑后记得运行第二个单元格---"""

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@ -5,12 +5,13 @@ import os,re,json,time,sys
"""2: 测验卷与周末卷(填空题, 选择题, 解答题)"""
"""3: 日常选题讲义(一个section)"""
paper_type = 2 # 随后设置一下后续的讲义标题
paper_type = 1 # 随后设置一下后续的讲义标题
"""---设置题块编号---"""
problems = [
"14784:14795","14796:14799","14800:14804"
"000363,000625,002372,003421,010951,31386,012255,013097,013118,031323,31387,008866,012199,012548,013134","000960,002162,013063,002418,013982,014505,031229,031388,010958,31389,31390,31391,002268"
]
"""---设置结束---"""
@ -19,7 +20,7 @@ problems = [
if paper_type == 1:
enumi_mode = 0 #设置模式(1为整卷统一编号, 0为每一部分从1开始编号)
template_file = "模板文件/复习讲义模板.txt" #设置模板文件名
exec_list = [("标题数字待处理","06"),("标题文字待处理","概率与统计")] #设置讲义标题
exec_list = [("标题数字待处理","04"),("标题文字待处理","易错题-解析几何")] #设置讲义标题
destination_file = "临时文件/"+exec_list[0][1]+"_"+exec_list[1][1] # 设置输出文件名
elif paper_type == 2:
enumi_mode = 1 #设置模式(1为整卷统一编号, 0为每一部分从1开始编号)

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@ -6547,7 +6547,9 @@
"20220624\t王伟叶, 余利成"
],
"same": [],
"related": [],
"related": [
"031387"
],
"remark": "",
"space": "12ex"
},
@ -7481,7 +7483,8 @@
],
"related": [
"010685",
"008930"
"008930",
"031389"
],
"remark": "",
"space": "12ex"
@ -87922,7 +87925,9 @@
"20220701\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031385"
],
"remark": "",
"space": "12ex"
},
@ -176152,7 +176157,7 @@
},
"006793": {
"id": "006793",
"content": "已知数列$\\{a_n\\}$的前$n$项和$S_n=4-4\\times 2^{-n}$($n\\in \\mathbf{N}^*$), 求证: $\\{a_n\\}$成等比数列.",
"content": "已知数列$\\{a_n\\}$的前$n$项和$S_n=4-4\\times 2^{-n}$($n\\in \\mathbf{N}$, $n \\ge 1$), 求证: $\\{a_n\\}$成等比数列.",
"objs": [
"K0403003X"
],
@ -226144,7 +226149,9 @@
"20220726\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031390"
],
"remark": "",
"space": "12ex"
},
@ -246256,7 +246263,9 @@
"20220730\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031391"
],
"remark": "",
"space": "12ex"
},
@ -270115,7 +270124,9 @@
"20220806\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031384"
],
"remark": "",
"space": "12ex"
},
@ -304552,7 +304563,9 @@
"20221209\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031386"
],
"remark": "",
"space": ""
},
@ -321908,7 +321921,9 @@
"20230118\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031382"
],
"remark": "",
"space": ""
},
@ -322992,7 +323007,9 @@
"20230118\t王伟叶"
],
"same": [],
"related": [],
"related": [
"031383"
],
"remark": "",
"space": ""
},
@ -364746,7 +364763,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\{3\\}$",
"solution": "",
"duration": -1,
"usages": [],
@ -364765,7 +364782,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{24}{25}$",
"solution": "",
"duration": -1,
"usages": [],
@ -364784,7 +364801,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$-n+10$",
"solution": "",
"duration": -1,
"usages": [],
@ -364803,7 +364820,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$80$",
"solution": "",
"duration": -1,
"usages": [],
@ -364822,7 +364839,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{3}{3x-2}$($x<\\dfrac 23$)",
"solution": "",
"duration": -1,
"usages": [],
@ -364841,7 +364858,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$12\\pi$",
"solution": "",
"duration": -1,
"usages": [],
@ -364860,7 +364877,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$(0,1]$",
"solution": "",
"duration": -1,
"usages": [],
@ -364879,7 +364896,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$107$",
"solution": "",
"duration": -1,
"usages": [],
@ -364898,7 +364915,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\dfrac{\\pi}4$",
"solution": "",
"duration": -1,
"usages": [],
@ -364917,7 +364934,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\sqrt{7}$",
"solution": "",
"duration": -1,
"usages": [],
@ -364936,7 +364953,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$[\\dfrac 13,\\dfrac 53)$",
"solution": "",
"duration": -1,
"usages": [],
@ -364955,7 +364972,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"ans": "$\\sqrt{5}$",
"solution": "",
"duration": -1,
"usages": [],
@ -364974,7 +364991,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@ -364993,7 +365010,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@ -365012,7 +365029,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@ -365031,7 +365048,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@ -365050,7 +365067,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $a=0.1$, $b=0.3$; (2) $P(B)=0.5$, $P(A\\cap B)=0.3$, $P(A)P(B)=0.25\\ne 0.3$, 不相互独立",
"solution": "",
"duration": -1,
"usages": [],
@ -365069,7 +365086,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $\\dfrac{\\sqrt{3}}3$; (2) $\\dfrac\\pi 6$",
"solution": "",
"duration": -1,
"usages": [],
@ -365088,7 +365105,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) 约$5.6$千米($\\sqrt{31.25}$); (2) 约$6.2$平方千米($\\dfrac{32\\sqrt{3}}{9}$)",
"solution": "",
"duration": -1,
"usages": [],
@ -365107,7 +365124,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $a=8$; (2) $a=2$; (3) $[\\dfrac{4\\sqrt{7}-8}3,4)\\cup (4,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@ -365126,7 +365143,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"ans": "(1) $3,7,10,17$或$3,7,10,3$或$3,7,4,11$; (2) 不存在, 证明略; (3) $51$, 证明略",
"solution": "",
"duration": -1,
"usages": [],
@ -365136,7 +365153,7 @@
],
"same": [],
"related": [],
"remark": "",
"remark": "(3) 中证明不可能小于$51$的核心是$max(a_{2n-1},a_{2n})$是严格增数列",
"space": "12ex"
},
"020001": {
@ -416374,7 +416391,7 @@
},
"030072": {
"id": "030072",
"content": "若数列$\\{a_n\\}$的所有项都是正数, 且$\\sqrt{a_1}+\\sqrt{a_2}+\\cdots +\\sqrt{a_n}=n^2+3n$($n\\in \\mathbf{N}^*$), 则$\\dfrac{a_1}{2}+\\dfrac{a_2}{3}+\\cdots +\\dfrac{a_n}{n+1}=$\\blank{50}.",
"content": "若数列$\\{a_n\\}$的所有项都是正数, 且$\\sqrt{a_1}+\\sqrt{a_2}+\\cdots +\\sqrt{a_n}=n^2+3n$($n\\in \\mathbf{N}$, $n \\ge 1$), 则$\\dfrac{a_1}{2}+\\dfrac{a_2}{3}+\\cdots +\\dfrac{a_n}{n+1}=$\\blank{50}.",
"objs": [
"K0402005X",
"K0402004X"
@ -444769,7 +444786,8 @@
],
"same": [],
"related": [
"014003"
"014003",
"031388"
],
"remark": "",
"space": ""
@ -448770,6 +448788,270 @@
"remark": "",
"space": "12ex"
},
"031382": {
"id": "031382",
"content": "已知数列$\\{a_n\\}$满足$a_{n+2}-a_n=2^n$, $a_1=1$, $a_2=2$, 则$a_n=$\\blank{50}.",
"objs": [],
"tags": [
"第四单元"
],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2022届高三第二轮复习讲义-20230406修改",
"edit": [
"20230118\t王伟叶",
"20230406\t刘亚东"
],
"same": [],
"related": [
"012933"
],
"remark": "",
"space": ""
},
"031383": {
"id": "031383",
"content": "设等差数列$\\{a_n\\}$的前$n$项和为$S_n$, 若$S_4 \\geq 10$, $S_5 \\leq 15$, 则$a_5$的最大值为\\blank{50}.",
"objs": [],
"tags": [
"第四单元"
],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2022届高三第二轮复习讲义-20230406修改",
"edit": [
"20230118\t王伟叶",
"20230406\t刘亚东"
],
"same": [],
"related": [
"012979"
],
"remark": "",
"space": ""
},
"031384": {
"id": "031384",
"content": "已知数列$\\{a_n\\}$的通项公式为$a_n=\\dfrac{n-\\sqrt {98}}{n-\\sqrt {97}}$, 试问: 该数列是否有最大项、最小项? 若有, 分别指出第几项最大、最小; 若没有, 试说明理由.",
"objs": [
"K0406002X",
"K0406005X"
],
"tags": [
"第四单元"
],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "新教材选择性必修第一册习题-20230406修改",
"edit": [
"20220806\t王伟叶",
"20230406\t刘亚东"
],
"same": [],
"related": [
"010777"
],
"remark": "",
"space": "12ex"
},
"031385": {
"id": "031385",
"content": "已知数列$\\{a_n\\}$的通项$a_n=(n-2)(\\dfrac{10}{11})^n$, 试问该数列有没有最大项与最小项? 若有, 求出最大项与最小项; 若没有, 说明理由.",
"objs": [
"K0406005X"
],
"tags": [
"第四单元"
],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2022届高三第一轮复习讲义-20230406修改",
"edit": [
"20220701\t王伟叶",
"20230406\t余利成"
],
"same": [],
"related": [
"003210"
],
"remark": "",
"space": "12ex"
},
"031386": {
"id": "031386",
"content": "已知$P$为椭圆$\\dfrac{x^2}4+\\dfrac{y^2}2=1$上的任意一点, $Q$与$P$关于$x$轴对称, $F_1$、$F_2$为椭圆的左、右焦点, 若有$\\overrightarrow{F_1 P} \\cdot \\overrightarrow{F_2P} \\leq 1$, 求向量$\\overrightarrow{F_1 P}$与$\\overrightarrow{F_2 Q}$夹角的取值范围.",
"objs": [],
"tags": [
"第七单元"
],
"genre": "解答题",
"ans": "$[\\pi-\\arccos\\dfrac 13,\\pi]$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2019届春季高考试题11-20230406修改",
"edit": [
"20221209\t王伟叶",
"20230406\t周双"
],
"same": [],
"related": [
"012213"
],
"remark": "因过程较长, 从12213改为解答题, 内容不变",
"space": "12ex"
},
"031387": {
"id": "031387",
"content": "过点$(3, -2)$, 且在$x$轴、$y$轴上截距相等的直线的方程为\\blank{50}.",
"objs": [
"K0702001X",
"K0702002X"
],
"tags": [
"第七单元",
"直线"
],
"genre": "填空题",
"ans": "$y=-\\dfrac 23 x$或$y=-x+1$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "教材复习题-20230406修改",
"edit": [
"20220624\t王伟叶, 余利成",
"20230406\t周双"
],
"same": [],
"related": [
"000248"
],
"remark": "因答案能明显地反映出思考过程, 故从248改为填空题, 内容不变",
"space": ""
},
"031388": {
"id": "031388",
"content": "设抛物线$C: y^2=4 x$的焦点为$F$, 过$F$且斜率为$k(k>0)$的直线$l$与$C$交于$A$、$B$两点, $|AB|=8$. 求直线$l$的方程为及过点$A, B$且与抛物线$C$的准线相切的圆的方程.",
"objs": [],
"tags": [
"第七单元"
],
"genre": "解答题",
"ans": "$y=x-1$; $(x-3)^2+(y-2)^2=16$或$(x-11)^2+(y+6)^2=144$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2020年空中课堂高三复习课22-20230214修改-20230406修改",
"edit": [
"20230128\t王伟叶",
"20230214\t吴惠群",
"20230406\t周双"
],
"same": [],
"related": [
"014003",
"031233"
],
"remark": "因过程较长, 从31233改为解答题, 内容不变",
"space": "24ex"
},
"031389": {
"id": "031389",
"content": "已知直线$y=ax-1$与曲线$y^2=2x$只有一个公共点, 则实数$a$的值为\\blank{50}.",
"objs": [
"K0720003X"
],
"tags": [
"第七单元"
],
"genre": "填空题",
"ans": "$a=0$或$-\\dfrac 12$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "教材复习题-20230406修改",
"edit": [
"20220624\t王伟叶, 余利成",
"20230406\t周双"
],
"same": [],
"related": [
"010685",
"008930",
"000282"
],
"remark": "因答案能明显地反映出思考过程, 故从282改为填空题, 内容不变",
"space": ""
},
"031390": {
"id": "031390",
"content": "已知双曲线的虚轴的长为$6$, 一条渐近线的方程为$3x-y=0$, 则此双曲线的标准方程为\\blank{50}.",
"objs": [
"K0717006X",
"K0716003X"
],
"tags": [
"第七单元",
"双曲线"
],
"genre": "填空题",
"ans": "$x^2-\\dfrac{y^2}9=1$或$\\dfrac{y^2}{81}-\\dfrac{x^2}9=1$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "二期课改练习册高二第二学期-20230406修改",
"edit": [
"20220726\t王伟叶",
"20230406\t周双"
],
"same": [],
"related": [
"008912"
],
"remark": "因过程不易书写, 意义不大, 故从8912改为填空题, 内容不变",
"space": ""
},
"031391": {
"id": "031391",
"content": "倾斜角是$\\dfrac{5\\pi} 6$, 且在$x$轴上的截距为$-1$的直线$l$的点斜式方程为\\blank{50}.",
"objs": [
"K0702001X",
"K0702004X",
"K0701002X"
],
"tags": [
"第七单元",
"直线"
],
"genre": "填空题",
"ans": "$y=-\\dfrac{\\sqrt 3}{3}(x+1)$",
"solution": "",
"duration": -1,
"usages": [],
"origin": "新教材选择性必修第一册课堂练习-20230406修改",
"edit": [
"20220730\t王伟叶",
"20230406\t周双"
],
"same": [],
"related": [
"009784"
],
"remark": "因题目简单, 故从9784改为填空题, 内容不变",
"space": ""
},
"040001": {
"id": "040001",
"content": "参数方程$\\begin{cases}x=3 t^2+4, \\\\ y=t^2-2\\end{cases}$($0 \\leq t \\leq 3$)所表示的曲线是\\bracket{20}.\n\\fourch{一支双曲线}{线段}{圆弧}{射线}",
@ -450227,7 +450509,7 @@
},
"040070": {
"id": "040070",
"content": "按要求填写象限:\\\\\n(1) 若$\\alpha$在第二象限, 则$\\dfrac{\\alpha}{3}$总不在第象限(填写``一''、``二''、``三''、``四''之一);\\\\\n(2) 若$-\\dfrac{\\pi}{2}<\\alpha<0$, 则点$(\\sin \\alpha, \\cot \\alpha)$总在第象限(填写``一''、``二''、``三''、``四''之一).",
"content": "按要求填写象限:\\\\\n(1) 若$\\alpha$在第二象限, 则$\\dfrac{\\alpha}{3}$总不在第\\blank{50}象限(填写``一''、``二''、``三''、``四''之一);\\\\\n(2) 若$-\\dfrac{\\pi}{2}<\\alpha<0$, 则点$(\\sin \\alpha, \\cot \\alpha)$总在第\\blank{50}象限(填写``一''、``二''、``三''、``四''之一).",
"objs": [],
"tags": [],
"genre": "解答题",