1 . 已知
,
,记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266ad08c70080e52495117cb8307fd3d.png)
(1)求函数
的值域;
(2)求函数
,
的单调减区间;
(3)若
,
恰有2个零点
,求实数
的取值范围和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35005965ce7f4b9703cba4062b6f3053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3328a5bbf1db60229da59fbee7675e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266ad08c70080e52495117cb8307fd3d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b0339e96e32d6fa1a092824850ef8d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43281072ba152ac733bbd50550ffe1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86251951bb66bd5b40c2fac797f5c074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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名校
2 . 在
中,
.
为
所在平面内的动点,且
,若
,则给出下面四个结论:
①
的最小值为
;
②
的最小值为
;
③
的最大值为
;
④
的最大值为8.
则正确命题的序号是_________ .(写出所有正确命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c527566ec9aff483bf308e4119d2322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6adb8e055723620e10435c1632815c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bd4cdb5035ce43bfebeeeb9457f411.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6ddf31b7d9225a4239883af72d153b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01317332a203c898536b1d0459f51d23.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d911e720abfb1b8892747d79ddc8f4d.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
则正确命题的序号是
您最近一年使用:0次
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3 . 如图,
为正方形,
,
,点
为直角坐标平面内的一点,M为线段
的中点,设
.
的表达式;
(2)当
取最大值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5558ffa6dc28d437c0467c7f361d444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22835cac87fea3afbcf4b290b226a86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca8a9d8828280d1fd63ea218ca1e7d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224a7da7fe6bc28971ce4c277f88588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7d5ef3a3d9a03be91135fc426d57cc.png)
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4 . 设函数
,其中向量
,
(
).
(1)求
的最小正周期;
(2)当
时,求
的值域;
(3)在
中,
,
,
分别是角
,
,
所对的边,已知
,
,
的面积为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbadb801b4df353885a517d465a3929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73fe21f22d5096b4be7d14bdd4d0516a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bbaca753911a51e263b45a0c0231d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d003123a00ab2c34c28db58e32e6cf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2efdeeb6b84f83665c70b6a8069d703c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0d83444a29f1618ed79ad89c1dbae9.png)
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5 . 已知向量
.记函数
.
(1)求函数
的单调增区间;
(2)对任意
,都有
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2683c6c9ba6f43f0b3eee5352e05096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abef10038f4b19f340c66aa3e9364aa.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d3085ab666e12fcf097e319bc12a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619af6f9d1916822d51024bd77a8641e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知向量
,
,设
,
.
(1)化简函数
的解析式并求其单调递增区间;
(2)当
时,求函数
的最大值及最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4499d48a010785f6ecc0a4fbc9c1967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57798e67bb63a095bfff2ef6fafe0e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)化简函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-06-09更新
|
567次组卷
|
3卷引用:四川省成都市树德中学2023-2024学年高一下学期5月期中考试数学试题
四川省成都市树德中学2023-2024学年高一下学期5月期中考试数学试题(已下线)核心考点2 平面向量的数量积 B提升卷 (高一期末考试必考的10大核心考点)四川省达州市万源中学2023-2024学年高一下学期5月月考数学试题
名校
7 . 定义函数
的“源向量”为
,非零向量
的“伴随函数”为
,其中
为坐标原点.
的“伴随函数”为
,求
在
的值域;
(2)若函数
的“源向量”为
,且以
为圆心,
为半径的圆内切于正
(顶点
恰好在
轴的正半轴上),求证:
为定值;
(3)在
中,角
的对边分别为
,若函数
的“源向量”为
,且已知
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153386601e89709ded16e6e56cc86b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e80896903107cb0ec517fedffa3f735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e80896903107cb0ec517fedffa3f735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eeb34e5f4dbd027466a86df156fa7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead0f45df9fc9e5a6a90a048daf15ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9b0339e96e32d6fa1a092824850ef8d.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8203f4be92108de03882c38c0e5426.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e723e57753f0a4fe1ef8ca1aee0e2117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40589f60d5b9e76464c084d80fe92c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeca565ad5dfdba18cf431dd3b84c57e.png)
(3)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c49ca8562b98657ca9c499093f7233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896785f1902334350af510775d152f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76137ec77bd3221aa3842cabebe4910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3941f79eb3ae64e0f735ae45308e5b19.png)
您最近一年使用:0次
2024-05-11更新
|
286次组卷
|
2卷引用:广东省汕头市潮阳实验学校2023-2024学年高一下学期期中考试数学试题
名校
8 . 已知向量
,
.
(1)若
且
,求x的值;
(2)记
,
R.
①求
的单调增区间;
②若任意
,均满足
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca410f7a4ee908d2594a1aae9d38ea04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c530004c5bf440311037956c42a5429.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e241cc7a7d15fbd4d0c1e388b952e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc581fcbeb240944abaf3d994937e55.png)
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2024-05-06更新
|
448次组卷
|
4卷引用:专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)
(已下线)专题02 三角恒等变换题型归纳-《期末真题分类汇编》(江苏专用)江苏省苏州市相城区陆慕高级中学2023-2024学年高一下学期5月月考数学试题江苏省南京市金陵中学2023-2024学年高二下学期4月期中测试数学试题(已下线)专题07 一轮复习三角函数(2)--高二期末考点大串讲(人教A版2019)
9 . 已知函数
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20838e0bfffffccc73bddcd2e94454d.png)
(1)求函数
的最大值及取得最大值时
的集合;
(2)求函数
的单调递增区间和对称中心;
(3)若方程
在区间
上有两个解
,若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c25f1d401fe5fd8748bb7c89751493b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b20838e0bfffffccc73bddcd2e94454d.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9523a16f184fc87bd4b7ab1f1bc9c03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d59e54d23f20ace15d0eb1291ea9b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755f504c8f00ab8f587ee347b8238050.png)
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2024-04-04更新
|
271次组卷
|
2卷引用:四川省德阳市第五中学2023-2024学年高一下学期4月月考数学试题
名校
解题方法
10 . 在
中,内角
的对边分别是
,且
,
.
(1)求角B;
(2)若
,求边
上的角平分线
长;
(3)若
为锐角三角形,求边
上的中线
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40dceaac09ee5587cdf4b09d9b82b692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
(1)求角B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e658a5aee39ea75e9076aed714ee451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2024-04-01更新
|
1922次组卷
|
4卷引用:安徽省合肥市中国科学技术大学附属中学2023-2024学年高一下学期第一次月考数学试题
安徽省合肥市中国科学技术大学附属中学2023-2024学年高一下学期第一次月考数学试题湖南省常德市汉寿县第一中学2023-2024学年高一下学期3月月考数学试题安徽省定远中学2023-2024学年高一第六次阶段检测数学试卷(已下线)第9章:解三角形章末综合检测卷(新题型)-【帮课堂】(人教B版2019必修第四册)