添加自拟题目
This commit is contained in:
parent
d407a056f7
commit
bc4ca06e2b
|
|
@ -613489,6 +613489,146 @@
|
|||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022945": {
|
||||
"id": "022945",
|
||||
"content": "在等比数列 $\\{a_n\\}$ 中, $a_5 a_6=2$, 则 $a_1 a_2 a_3 \\cdots a_{10}=$\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022946": {
|
||||
"id": "022946",
|
||||
"content": "已知等比数列 $\\{a_n\\}$ 的前 $n$ 项和为 $S_n$, 若 $a_1=-1$, $S_3=-3$, 则公比 $q=$\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022947": {
|
||||
"id": "022947",
|
||||
"content": "已知数列 $\\{a_n\\}$ 的前 $n$ 项和 $S_n=2 n^2+n+1$, 则通项 $a_n=$\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022948": {
|
||||
"id": "022948",
|
||||
"content": "关于函数 $f(x)=\\dfrac{2^x-1}{2^x-10}$ 的最大、最小值与数列 $a_n=\\dfrac{2^n-1}{2^n-10}$ 的最大、最小值, 下列说法正确的是\\bracket{20}.\n\\onech{函数 $f(x)$ 有最大、最小值, 数列 $\\{a_n\\}$ 有最大、最小值}{函数 $f(x)$ 无最大、最小值, 数列 $\\{a_n\\}$ 有最大、最小值}{函数 $f(x)$ 有最大、最小值, 数列 $\\{a_n\\}$ 有最大值无最小值}{函数 $f(x)$ 无最大、最小值, 数列 $\\{a_n\\}$ 无最大值有最小值}",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022949": {
|
||||
"id": "022949",
|
||||
"content": "$0.\\dot{1}+0.\\dot{9}=$\\blank{50}.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022950": {
|
||||
"id": "022950",
|
||||
"content": "如图, $P_1$ 是一块半径为 $1$ 的半圆形纸板, 在 $P_1$ 的左下端剪去一个半径为 $0.5$ 的半圆后得到图形 $P_2$, 然后依次剪去一个更小半圆 (其直径为前一个被剪掉半圆的半径) 得图形 $P_3, P_4, \\cdots, P_n, \\cdots$, 记纸板 $P_n$ 的周长($n$条半圆弧的长与一条线段的长相加)与面积分别为 $L_n, S_n$, 则 $\\displaystyle\\lim _{n \\to +\\infty}L_n=$\\blank{30}, $\\displaystyle\\lim _{n \\to +\\infty}S_n=$\\blank{30}.\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw (1,0) arc (0:180:1) -- cycle;\n\\draw (80:0.8) node {$P_1$};\n\\draw (4,0) arc (0:180:1) arc (180:0:0.5) -- cycle;\n\\draw (3,0) ++ (80:0.8) node {$P_2$};\n\\draw (7,0) arc (0:180:1) arc (180:0:0.5) arc (180:0:0.25) -- cycle;\n\\draw (6,0) ++ (80:0.8) node {$P_3$};\n\\draw (10,0) arc (0:180:1) arc (180:0:0.5) arc (180:0:0.25) arc (180:0:0.125) -- cycle;\n\\draw (9,0) ++ (80:0.8) node {$P_4$};\n\\draw (12,0.5) node {$\\cdots$};\n\\end{tikzpicture}\n\\end{center}",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"same": [],
|
||||
"related": [],
|
||||
"remark": "",
|
||||
"space": "",
|
||||
"unrelated": []
|
||||
},
|
||||
"022951": {
|
||||
"id": "022951",
|
||||
"content": "已知数列 $\\{a_n\\}$ 的通项公式 $a_n=(n^2-5 n+4) \\cdot 0.9^n$,\\\\\n(1) 数列中有多少项是负数?\\\\\n(2) 是否存在正整数 $n_0$ , 使得对于任意正整数 $n$, 都有 $a_n \\leq a_{n_0}$ 成立? 若存在, 求$n_0$的值; 若不存在, 说明理由.",
|
||||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
"origin": "自拟题目",
|
||||
"edit": [
|
||||
"20231218\t赵琍琍"
|
||||
],
|
||||
"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.",
|
||||
|
|
|
|||
Reference in New Issue