名校
1 . 集合
的真子集的个数是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1ac4ae88cd46ea20f042b215d6e4cc.png)
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2023高一·全国·专题练习
名校
2 . 已知命题
是真命题,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba427f512fa10e5ee237be1428d9017a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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(已下线)专题2-1 常用逻辑用语中常考参数问题-【题型分类归纳】(苏教版2019必修第一册)(已下线)2.2全称量词与存在量词-高一数学同步精品课堂(北师大版2019必修第一册)甘肃省张掖市某重点校2023-2024学年高一上学期9月月考数学试题广东省广州侨中2023-2024学年高一上学期10月月考数学试题
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3 . 下列说法正确的是________________
①
与集合
相等
②方程
的所有实数根组成的集合可记为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b7fd47bae75d8a5960269296bcea56.png)
③全体偶数组成的集合为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b70382af6aa4bc24156e5fb8e7b642.png)
④集合
表示一条过原点的直线
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d862e95dd45f38f45862a4874c6731ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a60738d505cb9069a76c90d218cd8c.png)
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6567068689ea7143a09eae7d4fd970cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b7fd47bae75d8a5960269296bcea56.png)
③全体偶数组成的集合为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b70382af6aa4bc24156e5fb8e7b642.png)
④集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28a51f5ca1ee9041bf6fcf09d25e5a1d.png)
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名校
4 . 已知集合
,则集合
的个数为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14c96424f542ea367bf127c7b1c747c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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2023-09-05更新
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名校
5 . 已知p:
或
,q:
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89be1f6c2f48b3c42b0a572c390da78.png)
.若p是q的必要条件,则实数a的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eeb69dcd17cd8448b0ed90fc02a7f3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f52ba69b086b1ed2eed1dc8b64ce1c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105cff55bdbb69c7d5e14244d8b4eed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89be1f6c2f48b3c42b0a572c390da78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/396f2055f52c0c2ce16a6d456df2ae51.png)
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6 . 集合
的所有子集的元素的和等于______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3757ba09c1d5ceb4632a8ddd47230902.png)
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名校
7 . 设a,
,若集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1538b4422af6a083f1c35abf0faa2269.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/838b8a3e4964124722c8bb8297cbfc84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1538b4422af6a083f1c35abf0faa2269.png)
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解题方法
8 . 已知
:直线
与直线
互相垂直,则
是
的__________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f257c8ca1a0e18d4f6d876b5391a3ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42498f6e0fc9a61c9857b70a87f02c5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ea8096fb03a5f9bbe9761a02e38554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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解题方法
9 . 已知集合
,
,若
,则实数m可能的取值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a22f8d9188279429b395c30b2898ac1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376a2c24a7716ee45feab8529a816f40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
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2023-08-09更新
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10 . 常见不等式的性质:
(1)
是
的_______ 条件;
(2)如果
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
____
;
(3)
是
的______ 条件;
(4)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
____
;如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
____
;
(5)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
____
;
(6)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
____
;
(7)如果
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81baf482546f298ba289d723bc21e0c3.png)
____
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5556dd86322752a457b3a6ba979c80.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb197fcbd6cea2230fbf8946fb82cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b50501087390b0c12b427ac564a834e7.png)
(4)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e76ce07edcc26c09544c0bac0e36413e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69225cfdfbc0a9a1ccfdd15c46353b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5aec517ae1f04792179c173bd662d16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69225cfdfbc0a9a1ccfdd15c46353b8f.png)
(5)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa8950fa963eedb948d6a57871478cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d02a08024fd5d4305bc2638b472fa48.png)
(6)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ad6cf9fb725f7947bddaf3149ba07d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0aa3929a1e72941a617ec65e2abc66.png)
(7)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81baf482546f298ba289d723bc21e0c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4dfbd0391dfa1708c793c9fde635f7.png)
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