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修改两个答案和一个题目

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weiye.wang 2024-02-10 21:04:27 +08:00
parent 395c33add9
commit 62eacec87e
1 changed files with 9 additions and 6 deletions
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15
题库0.3/Problems.json
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@ -588912,7 +588912,7 @@
},
"021669": {
"id": "021669",
"content": "函数$y=\\dfrac{\\cos x+1}{\\cos x-1}$的定义域是值域是\\blank{50}.",
"content": "函数$y=\\dfrac{\\cos x+1}{\\cos x-1}$的定义域是\\blank{50}, 值域是\\blank{50}.",
"objs": [],
"tags": [
"第三单元"
@ -588933,7 +588933,8 @@
],
"origin": "2025届高一下校本作业",
"edit": [
"20230209\t王伟叶"
"20230209\t王伟叶",
"20240210\t王伟叶"
],
"same": [],
"related": [],
@ -589292,7 +589293,7 @@
"第三单元"
],
"genre": "填空题",
"ans": "$0<\\beta<\\alpha<\\dfrac{\\pi}{2}$",
"ans": "$\\beta<\\alpha$",
"solution": "",
"duration": -1,
"usages": [
@ -589307,7 +589308,8 @@
],
"origin": "2025届高一下校本作业",
"edit": [
"20230209\t王伟叶"
"20230209\t王伟叶",
"20240210\t王伟叶"
],
"same": [],
"related": [],
@ -644327,14 +644329,15 @@
"第三单元"
],
"genre": "解答题",
"ans": "当$a \\in (-\\infty,-1)\\cup (1,+\\infty)$ 时, 方程实数解个数为$0$个; \\\\\n当$a \\in (0,1]$时，方程实数解个数为$1$个;\\\\\n当$a \\in \\{0,-1\\}$时，方程实数解个数为$2$个;\\\\\n当$a \\in (-1,0)$时, 方程实数解个数为$3$个",
"ans": "图像如下:\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (-4,0) -- (4,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw (-pi,-1) cos (-pi/2,0) sin (0,1);\n\\draw (0,0) sin (pi/2,-1) cos (pi,0);\n\\draw [dashed] (-pi,0) node [above] {$\\pi$} -- (-pi,-1) -- (0,-1) node [right] {$-1$};\n\\draw (0,1) node [right] {$1$} (pi,0) node [above] {$\\pi$};\n\\foreach \\i/\\j in {-pi/-1,0/1,pi/0}\n{\\filldraw (\\i,\\j) circle (0.03);};\n\\filldraw [fill = white] (0,0) circle (0.03);\n\\end{tikzpicture}\n\\end{center}\n当$a \\in (-\\infty,-1)\\cup (1,+\\infty)$ 时, 方程实数解个数为$0$个; \\\\\n当$a \\in (0,1]$时，方程实数解个数为$1$个;\\\\\n当$a \\in \\{0,-1\\}$时，方程实数解个数为$2$个;\\\\\n当$a \\in (-1,0)$时, 方程实数解个数为$3$个",
"solution": "",
"duration": -1,
"usages": [],
"origin": "2025届高一下校本作业-20240116修改",
"edit": [
"20230209\t王伟叶",
"20240116\t朱敏慧"
"20240116\t朱敏慧",
"20240210\t王伟叶"
],
"same": [],
"related": [