修改14825题目
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import os,re,json
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"""这里编辑题号(列表)后将在vscode中打开窗口, 编辑后保存关闭"""
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problems = "14812"
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problems = "14825"
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editor = "王伟叶"
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def generate_number_set(string,dict):
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@ -367359,7 +367359,7 @@
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},
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"014825": {
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"id": "014825",
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"content": "已知定义域为$D$的函数$y=f(x)$, 其导函数为$y'=f'(x)$, 满足对任意的$x \\in D$都有$|f'(x)|<1$.\\\\\n(1) 若$f(x)=a x+\\ln x$, $x \\in[1,2]$, 求实数$a$的取值范围;\\\\\n(2) 证明: 方程$f(x)-x=0$至多只有一个实根;\\\\\n(3) 若$y=f(x)$, $x \\in \\mathbf{R}$是周期为$2$的周期函数, 证明: 对任意的实数$x_1$、$x_2$, 都有$|f(x_1)-f(x_2)|<1$.",
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"content": "已知定义域为区间$D$的函数$y=f(x)$, 其导函数为$y'=f'(x)$, 满足对任意的$x \\in D$都有$|f'(x)|<1$.\\\\\n(1) 若$f(x)=a x+\\ln x$, $x \\in[1,2]$, 求实数$a$的取值范围;\\\\\n(2) 证明: 方程$f(x)-x=0$至多只有一个实根;\\\\\n(3) 若$y=f(x)$, $x \\in \\mathbf{R}$是周期为$2$的周期函数, 证明: 对任意的实数$x_1$、$x_2$, 都有$|f(x_1)-f(x_2)|<1$.",
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"objs": [],
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"tags": [
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"第二单元"
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@ -367371,7 +367371,8 @@
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"usages": [],
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"origin": "2023届高三崇明区二模试题21",
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"edit": [
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"20230407\t王伟叶"
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"20230407\t王伟叶",
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"20230415\t王伟叶"
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],
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"same": [],
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"related": [],
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