24-25高一上·全国·课后作业
解题方法
1 . 填空:(1)被9除余2的所有整数组成的集合可表示为______ ;
(2)不等式组
的解集为A,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc2ddf695c270d11bda83afcf9982e9.png)
______ ;
(3)已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95ecdb34ced00248d02a700d3c8af07.png)
______ ;
(4)满足
的集合B的个数是______ ;
(5)已知集合
或
,
,则
与
的关系是______ .
(2)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42685244fca608665a87e2f10b8a322e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc2ddf695c270d11bda83afcf9982e9.png)
(3)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef257e2a11673facf09edaa806da69d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba26e7cc7485c6d62ab40aa704485387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95ecdb34ced00248d02a700d3c8af07.png)
(4)满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c682336d9b7ef46430c4970f52b27e.png)
(5)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73ca8236c89d9cd1aeda40a6e6ed70ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f1b5bc97211d6feaa1b6538ec50c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe672a0a9589b8290ac05cfaaac8e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afdff52c0a2b46e0077fa82a17806bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4150f7b0bd8bc03f856c4ac563507ce.png)
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2 .
:四边形
是正方形,
:四边形
的四个角都是直角,则
是
的______ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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3 . “
”为假命题,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1dc04e023b6dbaa3cf5e00337f568fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efb71310ec267ea2c2fc0ccaeb2343d0.png)
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4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1d2f98caea906d26aee92ea178551a.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c839c42ca4cfdd2bbe2f1b5f2666dcf.png)
______
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad135b14c9dcd83eab6618d7694c7b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1d2f98caea906d26aee92ea178551a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4b667701a36dc656ee6d274f625809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c839c42ca4cfdd2bbe2f1b5f2666dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a66becdc090569818d78174d55276b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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名校
5 . 某社区为了丰富居民生活,计划开展“读书沙龙”“趣味运动”“环保主题绘画”三项活动.报名参加活动的共有120人,参加活动的居民每人至多参加两项活动.已知参加“读书沙龙”“趣味运动”“环保主题绘画”的人数分别为
,同时参加“读书沙龙”“趣味运动”的有20人,同时参加“趣味运动”“环保主题绘画”的有10人,则同时参加“读书沙龙”“环保主题绘画”的有______ 人.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909419f158e8aabf92e8822d02f24fb8.png)
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2023-11-16更新
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4卷引用:山西省2023-2024学年高一上学期期中数学试题
名校
解题方法
6 . 重庆市第十一中学校每学年分上期、下期分别举行“大阅读”与“科技嘉年华”两项大型活动,深受学生们的喜爱.某社团经问卷调查了解到如下数据:96%的学生喜欢这两项活动中的至少一项,78%的学生喜欢“大阅读”活动,87%的学生喜欢“科技嘉年华”活动,则我校既喜欢“大阅读”又喜欢“科技嘉年华”活动的学生数占我校学生总数的比例是_________ .
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2023-11-05更新
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4卷引用:重庆市第十一中学校2023-2024学年高一上学期期中数学试题
重庆市第十一中学校2023-2024学年高一上学期期中数学试题广东省珠海市香樟中学2023-2024学年高一下学期开学收心练习数学试题 (已下线)考点3 与集合相关的新定义问题 --2024届高考数学考点总动员【练】(已下线)周测1 集合与常用逻辑用语 一轮周测卷(基础卷)
7 .
:若
,则
;
:_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f735290691112deb4686a0b4e05ae7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d367a8feeea3de8199efbb404be16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
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2卷引用:辽宁省沈阳市第一七六中学2023-2024学年高一上学期10月月考数学试题
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解题方法
8 . 已知集合
,若集合
有且仅有两个子集,则
的所有值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308048756e1b3f9b451ae4cd46621a0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 如图,坐标系中矩形
及其内部的点构成的集合可表示为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/31/5105b201-7fe3-4173-af68-da7dab523e8a.png?resizew=156)
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5卷引用:河北省卓越联盟2023-2024学年高一上学期10月月考数学试题
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10 . 下列四个命题中,
①集合
,且
,则实数
的取值集合是
;
②使得不等式
成立的一个充分条件是
;
③已知
,则
的取值范围是
;
④若
,则
的最小值是8;
⑤若
,则
的取值范围是
;
其中真命题的序号是__________ .
①集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3bd9a3d1537cb3ad4a6f538334f79ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebd7c565ca0e0f8b73fedda791479c5.png)
②使得不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9628a52a2d66782e5ea1a5dadf28444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccaa6e503b61e9ae78d8439cba2e328.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cbceb0d573d213b8f8ae91cf0b57d4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20c6ab2d0f475b20bb945c1692b6c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342338eded5a03c00eb02ef7f7cf836e.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0bd65eb59d0acde6f5955490696c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2bd515c3c7f10f253d03d494fbb392a.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2603458b29d71ebfb1b0432f991836ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d89f74ade1b380747d247f0eed0da0.png)
其中真命题的序号是
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