1 . 已知角
的终边经过点
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65eb109ac9ebdd7ba975e83ce4cfcca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b80751c98f9991b9cfc03923a98834.png)
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2024-01-14更新
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453次组卷
|
3卷引用:上海市杨浦少云中学2023-2024学年高一上学期期末数学试题
上海市杨浦少云中学2023-2024学年高一上学期期末数学试题新疆维吾尔自治区乌鲁木齐市六校2023-2024学年高一上学期期末联考数学试题(已下线)6.1 正弦、余弦、正切、余切(分层作业)-高一数学同步精品课堂(沪教版2020必修第二册)
2 . 已知
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0947896096c3f3cd14e199f3c008e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0aa2ef928b6e3341d0a0dc6d8055b9.png)
A.充分非必要条件 | B.必要非充分条件 | C.充要条件 | D.非充分非必要条件 |
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3 . 已知集合
,集合
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f88506628ea3a6dbf27ce97bf87442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5decc8f74b594be4953925f4b3b5e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
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4 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9e56ab45ddf991ae24983027e04b08.png)
具有性质:对任意
,
与
至少有一个属于
,称其为“团结集合”.
(1)分别判断
与
是否是“团结集合”,并说明理由;
(2)若集合
是“团结集合”,且
,求集合
;
(3)设函数
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9e56ab45ddf991ae24983027e04b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d771df20773241f739febcafceca744a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ae331839bce8f3c14d7efd7f9d8915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3541598c0e0e6d5050c5a562515c430e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13ee542834ccbb57fcc55b1680ca9db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)分别判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0371ee50d839798126e465309675ce59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0909f3c99df9031a14397cf8c7673b.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdf3351f40af3c0a5b4bdce0feeaeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d11173d3133a5c276eaad860779014f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42cf2cb0b4c96031ab79f68b7ed1018b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16274ed3be91f1c9b7abe08990442cf.png)
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5 . 若关于
的方程:
恒成立,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8367b6d3b929a55c4a6db6c1f499f556.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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6 . “所有自然数都是整数”的否定为______ .
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7 . 求下列不等式的解集:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7436cf2e64f40ea5f5a79e8a143dab6e.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7436cf2e64f40ea5f5a79e8a143dab6e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca412b32382e4a5e45a928b6ac9ce127.png)
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解题方法
8 . 已知函数
,
.
(1)若不等式
的解集为空集,求实数
的取值范围;
(2)若
,且
的解集为
,求
的最大值,并写出此时
和
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ad5cc869ac38f1afa554aac6eee3a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4741556c029b5811318746d837cf246.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解题方法
9 . 若集合
的两个非空子集A,B满足
,则称
为集合U的一组“互斥子集”,
与
视为同一组互斥子集,则U共有互斥子集______ 组.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4f59a3fd052f229e79e5aefa517913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a95d247ffb2774bb7e22708b25daf7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71bbe792268ddc7adc67b489a3c61927.png)
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10 . 已知
,
,请用
,
表示下列各数的值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409935305a9b245126068f4016904a5f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409935305a9b245126068f4016904a5f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/195fa07b5344f1852668f49ae36ac4e6.png)
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