添加关联题目(填空改解答)
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"20230505\t王伟叶"
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"20230505\t王伟叶"
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"same": [],
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"related": [
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"022907"
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],
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"remark": "",
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"remark": "",
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"space": "",
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@ -608071,6 +608073,33 @@
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"space": "",
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"unrelated": []
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"022907": {
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"id": "022907",
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"content": "已知$f(x)$是定义在$\\mathbf{R}$上的偶函数, 且$f(x)$在$[0,+\\infty)$上是严格增函数, 如果对于任意$x \\in[1,2]$, 不等式$f(a x+1) \\leq f(x-3)$恒成立, 求实数$a$的取值范围.",
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"objs": [],
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"tags": [
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"第二单元",
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"2023届高三-第三轮复习讲义-02-数形结合"
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],
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"genre": "4em",
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"ans": "$[-1,0]$",
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "2022届空中课堂学科精要名师点拨-代数几何统一体数形结合莫分离-20231201修改",
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"edit": [
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"20230412\t王伟叶",
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"20230505\t王伟叶",
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"20231201\t王伟叶"
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],
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"same": [],
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"related": [
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"014970"
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],
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"remark": "",
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"space": "4em",
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"unrelated": []
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},
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"030001": {
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"030001": {
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"id": "030001",
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"id": "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.",
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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.",
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