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20221203 evening

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weiye.wang 2022-12-03 22:00:57 +08:00
parent 8eab27a17c
commit c9f9d00602
2 changed files with 10 additions and 8 deletions
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6
工具/讲义生成.ipynb
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@ -211,7 +211,7 @@
],
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"language": "python",
"name": "python3"
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@ -225,12 +225,12 @@
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"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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12
题库0.3/Problems.json
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@ -194005,7 +194005,7 @@
},
"007673": {
"id": "007673",
"content": "求$21600$的正约数的个数($1$和$21600$也是约数)及所有约数之和.",
"content": "求$21600$的正约数的个数($1$和$21600$也是约数)及所有正约数之和.",
"objs": [],
"tags": [
"第八单元",
@ -194018,7 +194018,8 @@
"usages": [],
"origin": "代数精编第九章排列组合",
"edit": [
"20220720\t王伟叶"
"20220720\t王伟叶",
"20221203\t王伟叶"
],
"same": [],
"related": [],
@ -224139,7 +224140,7 @@
},
"008937": {
"id": "008937",
"content": "``太阳火''(sunfire)是一种利用太阳能的装置, 其截面是抛物线形状, 如图所示.``太阳火''依靠抛物线形状的镜面把反射的太阳光聚焦于抛物线的焦点处的锅炉, 加热产生的蒸汽推动汽轮发电机产生电能.根据图中所注尺寸, 求``太阳火''装置中截面抛物线的方程(其中抛物线截面深$10$英尺, 抛物线开口宽$37$英尺).\n\\begin{center}\n \\begin{tikzpicture}[scale = 0.15,>=latex]\n \\draw [domain = -18.5:18.5] plot (\\x,{\\x*\\x/40});\n \\filldraw [fill = gray!50, draw = black] (0,10) ellipse (2 and 1);\n \\draw (-2,10) -- (2,10);\n \\draw [->] (20,7) -- (20,10);\n \\draw [->] (20,3) -- (20,0);\n \\draw (19.5,0) -- (20.5,0) (19.5,10) -- (20.5,10);\n \\draw [dashed] (2,10) -- (19.5,10);\n \\draw (20,5) node {$10$英尺};\n \\draw [->] (-6,-2) -- (-18.5,-2);\n \\draw [->] (6,-2) -- (18.5,-2);\n \\draw (0,-2) node {$37$英尺};\n \\draw (-18.5,-1.5) -- (-18.5,-2.5) (18.5,-1.5) -- (18.5, -2.5);\n \\draw [dashed] (0,0) -- (0,10);\n \\draw (-2,10) node [left] {锅炉};\n \\end{tikzpicture}\n\\end{center}",
"content": "``太阳火''(sunfire)是一种利用太阳能的装置, 其截面是抛物线形状, 如图所示. ``太阳火''依靠抛物线形状的镜面把反射的太阳光聚焦于抛物线的焦点处的锅炉, 加热产生的蒸汽推动汽轮发电机产生电能. 根据图中所注尺寸, 求``太阳火''装置中截面抛物线的方程.\n\\begin{center}\n \\begin{tikzpicture}[scale = 0.15,>=latex]\n \\draw [domain = -18.5:18.5] plot (\\x,{\\x*\\x/40});\n \\filldraw [fill = gray!50, draw = black] (0,10) ellipse (2 and 1);\n \\draw (-2,10) -- (2,10);\n \\draw [->] (20,7) -- (20,10);\n \\draw [->] (20,3) -- (20,0);\n \\draw (19.5,0) -- (20.5,0) (19.5,10) -- (20.5,10);\n \\draw [dashed] (2,10) -- (19.5,10);\n \\draw (20,5) node {$10$英尺};\n \\draw [->] (-6,-2) -- (-18.5,-2);\n \\draw [->] (6,-2) -- (18.5,-2);\n \\draw (0,-2) node {$37$英尺};\n \\draw (-18.5,-1.5) -- (-18.5,-2.5) (18.5,-1.5) -- (18.5, -2.5);\n \\draw [dashed] (0,0) -- (0,10);\n \\draw (-2,10) node [left] {锅炉};\n \\end{tikzpicture}\n\\end{center}",
"objs": [
"K0720004X"
],
@ -275258,7 +275259,7 @@
},
"011097": {
"id": "011097",
"content": "已知函数$y=f(x)$是定义在$\\mathbf{R}$上的偶函数, 且在$[0,+\\infty)$上是增函数, 若$f(a+1)\\le f(4)$, 则实数$a$的取值范围是\\blank{50}.",
"content": "已知函数$y=f(x)$是定义在$\\mathbf{R}$上的偶函数, 且在$[0,+\\infty)$上是严格增函数, 若$f(a+1)\\le f(4)$, 则实数$a$的取值范围是\\blank{50}.",
"objs": [],
"tags": [
"第二单元"
@ -275270,7 +275271,8 @@
"usages": [],
"origin": "2022届高三上学期周末卷12试题7",
"edit": [
"20220817\t王伟叶"
"20220817\t王伟叶",
"20221203\t王伟叶"
],
"same": [],
"related": [],