修改一道描述有点问题的题目为关联题
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@ -585905,7 +585905,9 @@
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"20230209\t王伟叶"
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],
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"same": [],
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"related": [],
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"related": [
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"024564"
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],
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"remark": "",
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"space": "4em",
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"unrelated": []
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@ -665590,6 +665592,31 @@
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"space": "",
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"unrelated": []
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},
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"024564": {
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"id": "024564",
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"content": "已知$\\sin \\alpha=\\dfrac{3}{5}$, $\\tan (\\pi-\\beta)=\\dfrac{1}{2}$, 若$\\cos(\\alpha-2\\beta)\\ne 0$, 求$\\tan (\\alpha-2 \\beta)$的值.",
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"objs": [],
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"tags": [
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"第三单元"
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],
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"genre": "4em",
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"ans": "$\\dfrac{7}{24}$",
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "2025届高一下校本作业-20240207修改",
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"edit": [
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"20230209\t王伟叶",
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"20240207\t王伟叶"
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],
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"same": [],
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"related": [
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"021586"
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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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"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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