名校
1 . 定义非零向量
若函数解析式满足
,则称
为向量
的“
伴生函数”,向量
为函数
的“源向量”.
(1)已知向量
为函数
的“源向量”,若方程
在
上有且仅有四个不相等的实数根,求实数
的取值范围;
(2)已知点
满足
,向量
的“
伴生函数”
在
时取得最大值,当点
运动时,求
的取值范围;
(3)已知向量
的“
伴生函数”
在
时的取值为
.若在三角形
中,
,
,若点
为该三角形的外心,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefeca842285cfe6a09ee79a8d4108d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eeb34e5f4dbd027466a86df156fa7c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(1)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801d2cd298e1db6dc7bad6fc634988f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750b32f4a65ac47869454623571acaac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646ff4c9568c69355999bd80def2d8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7325df3658628e64a870bd4670e10a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303da3900e7d236e218a004f1a1b7e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72850427e83ff19a24305783e080b280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c49ca8562b98657ca9c499093f7233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0497ee4207717773f0154aaa594a6123.png)
(3)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a359f9aeb5add5377519c6f7650ae6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f196f6236188084f3b2c9f2b68c05c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21ea52361458ce2e49ed0fe99d8e6c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da3e0f58ca588ad6103788815c053fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15167b49aad18e17a3b4e58ad6b61c13.png)
您最近一年使用:0次
2024-02-27更新
|
693次组卷
|
6卷引用:江苏省常州市北郊高级中学2023-2024学年高一下学期3月学情调研数学试卷
名校
解题方法
2 . 已知函数
的图象如图所示, 点
为
与
轴的交点, 点
分别为
的最高点和最低点, 而函数
的相邻两条对称轴之间的距离为
, 且其在
处取得最小值.
和
的值;
(2)若
,求向量
与向量
夹角的余弦值;
(3)若点P为
函数图象上的动点,当点
在
之间运动时,
恒成立,求A的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0831ede3dd847d9ab6f919900b4d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007817eb1a73c5a4f8b0493c4405d456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662a33b9677e5a92e98cfd4fffcf4e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c98a7f3a8bf384b1dfc1d34aebd46d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab12359ab934c34ef538d26ba946001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241c79af2ffef371608d1b0d13442947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce61f84f16bcb280a0e7bf762255c3b4.png)
(3)若点P为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662a33b9677e5a92e98cfd4fffcf4e3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541804a860732c41f47c087ff257c38f.png)
您最近一年使用:0次
2022-05-16更新
|
2472次组卷
|
13卷引用:江苏省苏州市桃坞高级中学校2023-2024学年高一下学期3月自学能力测试数学试卷
江苏省苏州市桃坞高级中学校2023-2024学年高一下学期3月自学能力测试数学试卷江苏省南通市海安高级中学2022-2023学年高一下学期阶段检测(一)数学试题江苏省镇江市丹阳高级中学2022-2023学年高一下学期3月月考数学试题山东省临沂市第二中学2023-2024学年高一下学期第一次阶段性测试数学试题湖北省华中师范大学第一附属中学2021-2022学年高一下学期5月月考数学试题北京市海淀区教师进修学校2021-2022学年高一6月份数学月考试题广东省深圳市福田区福田中学2023届高三上学期第二次月考数学试题重庆市第一中学校2022-2023学年高一下学期第一次月考(3月)数学试题黑龙江省哈尔滨市第六中学校2022-2023学年高一下学期4月考试数学试题湖北省武汉市部分中学2021-2022学年高一下学期5月联考数学试题湖北省襄阳市第三中学2022-2023学年高一下学期5月月考数学试题北京市第三十五中学2023-2024学年高一下学期期中测试数学试卷湖北省宜昌市部分学校2021-2022学年高一下学期期中数学试题
名校
3 . 设
是一个钝角三角形的两个锐角,下列四个不等式中正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-02-14更新
|
729次组卷
|
4卷引用:江苏省宿迁市洋河如东中学2023-2024学年高一下学期学情调研一数学试题
江苏省宿迁市洋河如东中学2023-2024学年高一下学期学情调研一数学试题(已下线)“8+4+4”小题强化训练(18)三角恒等变换-2022届高考数学一轮复习(江苏等新高考地区专用)海南省海南中学2019-2020学年高一上学期期末数学试题(已下线)专题12 三角函数(1)-2020年新高考新题型多项选择题专项训练
名校
4 . 如图,在平面直角坐标系
中,点
,
在单位圆
上,
,且
,
.
(1)若
,求
的值;
(2)若
,
也是单位圆
上的点,且
.过点
、
分别做
轴的垂线,垂足为
、
,记
的面积为
,
的面积为
.设
,求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5a54e0b4872cabdc0b07ea9380e4de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a350eb41c3b7e4face9c3299eff9d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1703344522b8eb0a0fb0029d3f403b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee84c88fed83a5a68e5b52dc47c9148e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e4e2ee0d0c9e006afe6c9830c6969b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb294a70ab9e56bbfc4eda473e8e2a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8e72f73db207c3040f143d837d5995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24529eadaef974ec0625f8ca40682e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d162c29b1e484cfc87350dd68f00b85.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bec86a74ad3d806baac74e7fa59f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b482b1c1a7d8f6e16f3c90850c0b48a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665d9c6fc06ddd0e080e45ab858d1852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1ba6b6ee00c4b2763cb3fa59caa69f.png)
您最近一年使用:0次
2016-12-04更新
|
695次组卷
|
2卷引用:江苏省金湖中学2023-2024学年高一下学期第一次阶段性考试数学试题