收录高三下学期月考2试题

This commit is contained in:
weiye.wang 2023-05-08 07:05:52 +08:00
parent 2649643b65
commit 120279b1bc
7 changed files with 431 additions and 11 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"""
problems = "14970"
problems = "015051,015303"
editor = "王伟叶"
def generate_number_set(string,dict):

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@ -2,7 +2,7 @@ import os,re,json
"""---设置关键字, 同一field下不同选项为or关系, 同一字典中不同字段间为and关系, 不同字典间为or关系, _not表示列表中的关键字都不含, 同一字典中的数字用来供应同一字段不同的条件之间的and---"""
keywords_dict_table = [
{"origin":["风暴"],"origin2":["40","45","57","67","78","81"]}
{"origin":[r""],"origin2":[r"2021"]}
]
"""---关键字设置完毕---"""
# 示例: keywords_dict_table = [

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@ -1,9 +1,9 @@
#修改起始id,出处,文件名
starting_id = 15352
raworigin = "高考数学风暴第一轮复习"
filename = r"C:\Users\weiye\Documents\wwy sync\待整理word题目\风暴全.tex"
editor = "20230503\t王伟叶"
indexed = False
starting_id = 17223
raworigin = "2023届高三下学期月考2"
filename = r"D:\temp\yuekao2.tex"
editor = "20230507\t余利成"
indexed = True
IndexDescription = "试题"
import os,re,json

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@ -1 +1 @@
016281:016301,016390:016410,016657:016677,016877:016897,017115:017135,017181:017201
003589:003609

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@ -10,7 +10,7 @@ paper_type = 2 # 随后设置一下后续的讲义标题
"""---设置题块编号---"""
problems = [
"15164:15175","15176:15179","15180:15184"
"17223:17234","17235:17238","17239:17243"
]
"""---设置结束---"""
@ -24,7 +24,7 @@ if paper_type == 1:
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)
template_file = "模板文件/测验周末卷模板.txt" #设置模板文件名
exec_list = [("标题替换","高三下学期周末卷08")] #设置讲义标题
exec_list = [("标题替换","高三下学期月考08")] #设置讲义标题
destination_file = "临时文件/"+exec_list[0][1] # 设置输出文件名
elif paper_type == 3:
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)

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@ -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---"""

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@ -440192,6 +440192,426 @@
"space": "4em",
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"017223": {
"id": "017223",
"content": "集合$A=\\{-1,0,1,2\\}$, $B=\\{x | 0<x<2\\}$, 则$A \\cap B=$\\blank{50}.",
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"origin": "2023届高三下学期月考2试题1",
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"017224": {
"id": "017224",
"content": "已知$\\mathrm{i}$为虚数单位, 复数$z$满足$\\dfrac{1-z}{1+z}=\\mathrm{i}$, 则$|z|=$\\blank{50}.",
"objs": [],
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"origin": "2023届高三下学期月考2试题2",
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"017225": {
"id": "017225",
"content": "函数$y=\\tan (3 x-\\dfrac{\\pi}{4})$的最小正周期为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
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"duration": -1,
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"origin": "2023届高三下学期月考2试题3",
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"017226": {
"id": "017226",
"content": "$(x-\\dfrac{1}{x})^8$的展开式中的常数项为\\blank{50}.",
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"tags": [],
"genre": "填空题",
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"solution": "",
"duration": -1,
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"017227": {
"id": "017227",
"content": "已知$x, y$均为正数, 且$x+2 y=1$, 则$x y$的最大值为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
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"duration": -1,
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},
"017228": {
"id": "017228",
"content": "抛物线$y=8 x^2$的准线方程是\\blank{50}.",
"objs": [],
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"genre": "填空题",
"ans": "",
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"duration": -1,
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"017229": {
"id": "017229",
"content": "首项为$1$, 公比为$-\\dfrac{1}{2}$的无穷等比数列$\\{a_n\\}$的各项和为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
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"origin": "2023届高三下学期月考2试题7",
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"017230": {
"id": "017230",
"content": "已知某圆锥体的底面半径$r=3$, 沿圆锥体的母线把侧面展开后得到一个圆心角为$\\dfrac{2 \\pi}{3}$的扇形, 则该圆锥体的表面积为\\blank{50}.",
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"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"017231": {
"id": "017231",
"content": "已知两个随机变量$X$、$Y$, 其中$X \\sim B(4, \\dfrac{1}{4})$, $Y \\sim N(\\mu, \\sigma^2)$($\\sigma>0$), 若$E[X]=E[Y]$, 且$P(|Y|<1)=0.4$, 则$P(Y>3)=$\\blank{50}.",
"objs": [],
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"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2023届高三下学期月考2试题9",
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"017232": {
"id": "017232",
"content": "已知甲袋中有$3$个白球和$2$个红球, 乙袋中有$2$个白球和$4$个红球. 若先随机取一只袋, 再从该袋中先后随机取$2$个球, 则在第一次取出的球是红球的前提下, 第二次取出的球是白球的概率为\\blank{50}.",
"objs": [],
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"origin": "2023届高三下学期月考2试题10",
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"017233": {
"id": "017233",
"content": "函数$y=(1+\\cos x)^{2023}+(1-\\cos x)^{2023}$, $x \\in[-\\dfrac{2 \\pi}{3}, \\dfrac{2 \\pi}{3}]$的值域为\\blank{50}.",
"objs": [],
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"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
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"origin": "2023届高三下学期月考2试题11",
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"017234": {
"id": "017234",
"content": "已知平面向量$\\overrightarrow {a}, \\overrightarrow {b}, \\overrightarrow {c}$满足$|\\overrightarrow {a}|=1$, $\\langle\\overrightarrow {a}, \\overrightarrow {b}\\rangle=\\langle 7 \\overrightarrow {a}-\\overrightarrow {c}, 9 \\overrightarrow {a}-\\overrightarrow {c}\\rangle=\\dfrac{\\pi}{6}$, 则$|\\overrightarrow {b}-\\overrightarrow {c}|$的取值范围是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
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"017235": {
"id": "017235",
"content": "若$a<0<b$, 则下列不等式恒成立的是\\bracket{20}.\n\\fourch{$\\dfrac{1}{a}>\\dfrac{1}{b}$}{$-a>b$}{$a^2>b^2$}{$a^3<b^3$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2023届高三下学期月考2试题13",
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"017236": {
"id": "017236",
"content": "下列函数中, 在其定义域内既是奇函数又是严格增函数的是\\bracket{20}.\n\\fourch{$y=\\tan x$}{$y=x^{\\frac{1}{3}}$}{$y=3^x$}{$y=\\lg |x|$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
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"017237": {
"id": "017237",
"content": "设$\\{a_n\\}$是等比数列, 则``对于任意的$m \\in \\mathbf{N}$, $m \\geq 1$都有$a_{m+3}>a_m$''是``$\\{a_n\\}$是严格递增数列''的\\bracket{20}.\n\\twoch{充分不必要条件}{必要不充分条件}{充要条件}{既不充分也不必要条件}",
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"017238": {
"id": "017238",
"content": "已知函数$f(x)$是定义在$\\mathbf{R}$上的连续可导函数, 其导函数为$f'(x)$, 且对任意$x \\in \\mathbf{R}$均有$f(x)-f(-x)=2 x$. 若当$x<0$时, $f'(x)>1$恒成立, 且$f(a-2)-f(1-2 a)>3 a-3$, 则实数$a$的取值范围是\\bracket{20}.\n\\fourch{$(-1,1)$}{$(1,+\\infty)$}{$(-\\infty,-1)$}{$(-\\infty,-1) \\cup(1,+\\infty)$}",
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"tags": [],
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"duration": -1,
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"017239": {
"id": "017239",
"content": "直三棱柱$ABC-A_1B_1C_1$中, 底面$ABC$为等腰直角三角形, $AB \\perp AC$, $AB=AC=2$, $AA_1=4, M$是侧棱$CC_1$上一点, 设$MC=h$.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (0,0,0) node [left] {$A$} coordinate (A);\n\\draw (2,0,0) node [right] {$C$} coordinate (C);\n\\draw (0,0,2) node [left] {$B$} coordinate (B);\n\\draw (A) ++ (0,3,0) node [above] {$A_1$} coordinate (A_1);\n\\draw (B) ++ (0,3,0) node [left] {$B_1$} coordinate (B_1);\n\\draw (C) ++ (0,3,0) node [right] {$C_1$} coordinate (C_1);\n\\draw ($(C)!0.3!(C_1)$) node [right] {$M$} coordinate (M);\n\\draw (B)--(C)--(C_1)--(B_1)--cycle (B_1)--(A_1)--(C_1)(B)--(M);\n\\draw [dashed] (B)--(A)--(C)(B)--(A_1)--(C)(A)--(M)(A)--(A_1);\n\\end{tikzpicture}\n\\end{center}\n(1) 若$BM \\perp A_1C$, 求$h$的值;\\\\\n(2) 若$h=2$, 求直线$BA_1$与平面$ABM$所成的角.",
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"017240": {
"id": "017240",
"content": "已知$\\triangle ABC$的内角$A, B, C$的对边分别为$a, b, c$.\\\\\n(1) 若$B=\\dfrac{\\pi}{3}$, $b=\\sqrt{5}$, $\\triangle ABC$的面积$S=\\sqrt{3}$, 求$a-c$的值;\\\\\n(2) 若$2 \\cos C(\\overrightarrow{BA} \\cdot \\overrightarrow{BC}+\\overrightarrow{AB} \\cdot \\overrightarrow{AC})=c^2$, 求角$C$的大小.",
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"017241": {
"id": "017241",
"content": "疫苗在上市前必须经过严格的检测, 并通过临床实验获得相关数据, 以保证疫苗使用的安全和有效.某生物制品研究所将某一型号疫苗用在动物小白鼠身上进行科研和临床实验, 得到统计数据如下:\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|}\n\\hline & 未感染病毒 & 感染病毒 & 总计 \\\\\n\\hline 未注射疫苗 & 40 &$p$&$x$\\\\\n\\hline 注射疫苗 & 60 &$q$&$y$\\\\\n\\hline 总计 & 100 & 100 & 200 \\\\\n\\hline\n\\end{tabular}\n\\end{center}\n现从未注射疫苗的小白鼠中任取$1$只, 取到``感染病毒''的小白鼠的概率为$\\dfrac{3}{5}$.\\\\\n(1) 求$2 \\times 2$列联表中的数据$p, q, x, y$的值;\\\\\n(2) 是否有$95 \\%$的把握认为注射此种疫苗有效? 说明理由;\\\\\n(3) 在感染病毒的小白鼠中, 按未注射疫苗和注射疫苗的比例抽取$10$只进行病例分析, 然后从这$10$只小白鼠中随机抽取$4$只对注射疫苗情况进行核实, 记$X$为$4$只中未注射疫苗的小白鼠的只数, 求$X$的分布与期望$E[X]$.\\\\\n附: $\\chi^2=\\dfrac{n(a d-b c)^2}{(a+b)(c+d)(a+c)(b+d)}$, 其中$n=a+b+c+d$.\n\\begin{center}\n\\begin{tabular}{|c|c|c|c|c|c|}\n\\hline$P(\\chi^2 \\geq k)$& 0.10 & 0.05 & 0.01 & 0.005 & 0.001 \\\\\n\\hline$k$& 2.706 & 3.841 & 6.635 & 7.879 & 10.828 \\\\\n\\hline\n\\end{tabular}\n\\end{center}",
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"017242": {
"id": "017242",
"content": "已知椭圆$C: \\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1$.\\\\\n(1) 求该椭圆的离心率;\\\\\n(2) 设点$P(x_0, y_0)$是椭圆$C$上一点, 求证: 过点$P$的椭圆$C$的切线方程为$\\dfrac{x_0 x}{4}+\\dfrac{y_0 y}{3}=1$;\\\\\n(3) 若点$M$为直线$l: x=4$上的动点, 过点$M$作该椭圆的切线$MA, MB$, 切点分别为$A, B$, 求$\\triangle MAB$的面积的最小值.",
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"duration": -1,
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"origin": "2023届高三下学期月考2试题20",
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"017243": {
"id": "017243",
"content": "设函数$f(x)=\\ln (x+1)$, $g(x)=\\dfrac{x}{x+1}$.\\\\\n(1) 记$x_1=g(1)$, $x_{n+1}=g(x_n)$, $n \\in \\mathbf{N}$, $n \\geq 1$. 证明: 数列$\\{\\dfrac{1}{x_n}\\}$为等差数列;\\\\\n(2) 设$m \\in \\mathbf{Z}$. 若对任意$x>0$均有$f(x)>m g(x)-1$成立, 求$m$的最大值;\\\\\n(3) 是否存在正整数$t$使得对任意$n \\in \\mathbf{N}$, $n \\geq t$, 都有$\\displaystyle f(n-t)<n-\\sum_{k=1}^n g(k)$成立? 若存在, 求$t$的最小可能值; 若不存在, 说明理由.",
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"020001": {
"id": "020001",
"content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.",