编辑22997题面及类型
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"022997": {
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"id": "022997",
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"content": "已知直线 $y=x+1$ 上有两个点 $A(a_1, b_1)$、$B(a_2, b_2)$. 已知 $a_1, b_1, a_2, b_2$ 满足 $\\sqrt{2}|a_1 a_2+b_1 b_2|=\\sqrt{a_1^2+b_1^2}\\cdot \\sqrt{a_2^2+b_2^2}$, 若 $a_1>a_2$, $|AB|=\\sqrt{2}+2$, 则这样的点 $A$ 有个.",
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"content": "已知直线 $y=x+1$ 上有两个点 $A(a_1, b_1)$、$B(a_2, b_2)$. 已知 $a_1, b_1, a_2, b_2$ 满足 $\\sqrt{2}|a_1 a_2+b_1 b_2|=\\sqrt{a_1^2+b_1^2}\\cdot \\sqrt{a_2^2+b_2^2}$, 若 $a_1>a_2$, $|AB|=\\sqrt{2}+2$, 则这样的点 $A$ 有\\blank{50}个.",
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"objs": [],
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"tags": [],
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"genre": "解答题",
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"genre": "填空题",
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"ans": "",
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "自拟题目",
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"edit": [
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"20240103\t王伟叶"
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"20240103\t王伟叶",
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"20240110\t王伟叶"
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],
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"same": [],
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"related": [],
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"remark": "",
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"space": "4em",
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"space": "",
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"unrelated": []
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},
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"022998": {
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