wangweiye
/
mathdeptv2
Archived
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

收录高三寒假作业50新题

This commit is contained in:
wangweiye7840 2024-01-25 13:03:15 +08:00
parent a10127f4cc
commit b0476a5c26
2 changed files with 177 additions and 3 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

3
工具v2/文本文件/新题收录列表.txt
View File

@ -148,3 +148,6 @@
20240125-125941
000498,023986:023993
20240125-130257
023994:024001

177
题库0.3/Problems.json
View File

@ -135551,7 +135551,9 @@
"same": [
"012124"
],
"related": [],
"related": [
"023998"
],
"remark": "",
"space": "",
"unrelated": []
@ -168137,7 +168139,9 @@
"20240125\t王伟叶"
],
"same": [],
"related": [],
"related": [
"023994"
],
"remark": "",
"space": "",
"unrelated": []
@ -338246,7 +338250,9 @@
"same": [
"004395"
],
"related": [],
"related": [
"023998"
],
"remark": "",
"space": "",
"unrelated": []
@ -646574,6 +646580,171 @@
"space": "4em",
"unrelated": []
},
"023994": {
"id": "023994",
"content": "若函数 $f(x)=4+2 a^{x-1}$ 的图像过定点 $P$, 则点 $P$ 的坐标是\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [
"005563"
],
"remark": "",
"space": "",
"unrelated": []
},
"023995": {
"id": "023995",
"content": "若函数 $f(x)=a^x+b$($a>0$, 且 $a \\neq 1$) 的定义域和值域都是 $[-1,0]$, 则 $a+b=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023996": {
"id": "023996",
"content": "若函数 $y=|2^x-1|$ 的图像与直线 $y=b$ 有两个公共点, 则实数 $b$ 的取值范围为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023997": {
"id": "023997",
"content": "已知实数 $a \\neq 1$, 函数 $f(x)=\\begin{cases}4^x,& x \\geq 0,\\\\2^{a-x},& x<0,\\end{cases}$ 若 $f(1-a)=f(a-1)$, 则 $a=$\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"023998": {
"id": "023998",
"content": "若偶函数 $f(x)$ 满足 $f(x)=2^x-4$($x \\geq 0$), 则不等式 $f(x-2)>0$ 的解集为\\blank{50}.",
"objs": [],
"tags": [],
"genre": "填空题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [
"004395",
"012124"
],
"remark": "",
"space": "",
"unrelated": []
},
"023999": {
"id": "023999",
"content": "若函数 $f(x)=a^{x-b}$ 的图像如图所示, 其中 $a$、$b$ 为实常数, 则下列结论中正确的是\\bracket{20}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-2,0) -- (2,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -2:2, samples = 100] plot (\\x,{exp((\\x+0.8)*ln(0.6))});\n\\draw (0,1) -- (0.1,1) node [right] {$1$};\n\\end{tikzpicture}\n\\end{center}\n\\fourch{$a>1$, $b<0$}{$a>1$, $b>0$}{$0<a<1$, $0<b<1$}{$0<a<1$, $b<0$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"024000": {
"id": "024000",
"content": "设 $y=f(x)$ 在 $(-\\infty, 1]$ 上有定义, 对于给定的实数 $K$, 定义\n$f_K(x)=\\begin{cases}f(x),& f(x) \\leq K,\\\\K,& f(x)>K.\\end{cases}$ 给出函数 $f(x)=2^{x+1}-4^x$, 若对于任意$x\\in (-\\infty,1]$, 恒有 $f_K(x)=f(x)$, 则\\bracket{20}.\n\\fourch{$K$ 的最大值为 $0$}{$K$ 的最小值为 $0$}{$K$ 的最大值为 $1$}{$K$ 的最小值为 $1$}",
"objs": [],
"tags": [],
"genre": "选择题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "",
"unrelated": []
},
"024001": {
"id": "024001",
"content": "已知函数 $f(x)=\\dfrac{3^x+a}{3^x+1}$($a \\in \\mathbf{R}$) 为奇函数.\\\\\n(1) 求 $a$ 的值;\\\\\n(2) 判断函数 $f(x)$ 的单调性, 并用定义证明.",
"objs": [],
"tags": [],
"genre": "解答题",
"ans": "",
"solution": "",
"duration": -1,
"usages": [],
"origin": "自拟题目",
"edit": [
"20240125\t毛培菁"
],
"same": [],
"related": [],
"remark": "",
"space": "4em",
"unrelated": []
},
"030001": {
"id": "030001",
"content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",