添加新题与关联题

This commit is contained in:
wangweiye7840 2023-12-11 15:14:41 +08:00
parent 0c88a9cc0d
commit 3adb4b4b2b
2 changed files with 54 additions and 139 deletions

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related
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@ -515162,7 +515162,9 @@
"20230730\t王伟叶"
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@ -601705,7 +601707,9 @@
"20230905\t王伟叶"
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@ -612170,6 +612174,51 @@
"space": "4em",
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"022928": {
"id": "022928",
"content": "已知数列 $\\{b_n\\}$ 的各项均为正数的等比数列, 且数列 $\\{a_n\\}$ 和 $\\{b_n\\}$ 满足 $a_n=\\dfrac{1}{n}\\displaystyle\\sum_{i=1}^n \\lg b_i $($n \\in \\mathbf{N}$, $n \\geq 1$), 求证: $\\{a_n\\}$ 为等差数列.",
"objs": [],
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"genre": "解答题",
"ans": "",
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"duration": -1,
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"origin": "自拟题目",
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"20231211\t朱敏慧"
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"022929": {
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"content": "数列 $\\{a_n\\}$ 中, $a_1=8$, $a_4=2$, 且满足 $a_{n+2}-2 a_{n+1}+a_n=0$, 则数列 $\\{a_n\\}$ 的通项公式为\\blank{50}.",
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"duration": -1,
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"origin": "2025届高一上学期周末卷16-20231211修改",
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"20230905\t王伟叶",
"20231211\t王伟叶"
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"030001": {
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"content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",