修改15157题面
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@ -1,6 +1,6 @@
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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, 随后运行第二个代码块"""
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problems = "40504"
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problems = "15157"
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def generate_number_set(string,dict):
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string = re.sub(r"[\n\s]","",string)
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@ -375080,7 +375080,7 @@
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},
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"015157": {
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"id": "015157",
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"content": "设$P$为曲线$C: y^2=4 x$上的任意一点, 记$P$到$C$的准线的距离为$d$. 若关于点集$A=\\{M| |MP |=d\\}$和$B=\\{(x, y) |(x-1)^2+(y-1)^2=r^2\\}$, 给出如下结论:\\\\\n\\textcircled{1} 任意$r \\in(0,+\\infty)$, $A \\cap B$中总有$2$个元素;\\\\ \\textcircled{2} 存在$r \\in(0,+\\infty)$, 使得$A \\cap B=\\varnothing$.\\\\\n其中正确的是\\bracket{20}.\n\\fourch{\\textcircled{1}成立, \\textcircled{2}成立}{\\textcircled{1}不成立, \\textcircled{2}成立}{\\textcircled{1}成立, \\textcircled{2}不成立}{\\textcircled{1}不成立, \\textcircled{2}不成立}",
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"content": "设$P$为曲线$C: y^2=4 x$上的给定一点, 记$P$到$C$的准线的距离为$d$. 若关于点集$A=\\{M| |MP |=d\\}$和$B=\\{(x, y) |(x-1)^2+(y-1)^2=r^2\\}$, 给出如下结论:\\\\\n\\textcircled{1} 任意$r \\in(0,+\\infty)$, $A \\cap B$中总有$2$个元素;\\\\ \\textcircled{2} 存在$r \\in(0,+\\infty)$, 使得$A \\cap B=\\varnothing$.\\\\\n其中正确的是\\bracket{20}.\n\\fourch{\\textcircled{1}成立, \\textcircled{2}成立}{\\textcircled{1}不成立, \\textcircled{2}成立}{\\textcircled{1}成立, \\textcircled{2}不成立}{\\textcircled{1}不成立, \\textcircled{2}不成立}",
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"objs": [],
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"tags": [
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"第七单元"
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