名校
解题方法
1 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a44a3344b7ac4f92c5d3b4d6dbad366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc903c19f7b3b0aa58cdb0cdb7b062a0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-24更新
|
382次组卷
|
2卷引用:福建省福州市第十五中学等五校2023-2024学年高一下学期期中联考数学试题
名校
解题方法
2 . 定义非零向量
的“相伴函数”为
,向量
称为函数
的“相伴向量”(其中
为坐标原点).
(1)设
,写出函数
的相伴向量
;
(2)已知锐角
的内角
的对边分别为
记向量
的相伴函数
,若
且
,求:①
的取值范围;②
的内切圆的半径的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234eb91d6082d883d2c885ddfc629313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e2b008241352a9b72e9c83ff64de27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234eb91d6082d883d2c885ddfc629313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00e2b008241352a9b72e9c83ff64de27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3004ae26894a9230d9af60275303f79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47dad543bc23960c8088a307ef5b6e67.png)
(2)已知锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81acfbb6774dc5acbec6094566541703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c893c2f40ff4cafbf01b42f6c35327c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c58f6e96f90e7ad2706a56871241692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
3 . 已知向量
,
(1)若
,求实数m的值;
(2)求以
与
为邻边的三角形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2f78f5237379e51a2af85bc857d970.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78deffd3913e7665c545312d5b3ab3f6.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4e49d17d4ad440d37c6f4bc8daba25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
的内接四边形
中,
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8df9de2faf8013c1a2641c1ed53a2e.png)
A.![]() | B.四边形![]() ![]() |
C.该外接圆的直径为![]() | D.![]() |
您最近一年使用:0次
2024-05-20更新
|
584次组卷
|
2卷引用:福建省厦门外国语学校2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
5 . 记
的内角
的对边分别为
,已知
,下列结论正确的是( )
![](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/b06e0ee30d7d60f67fb7c1d9372d8682.png)
A.![]() |
B.![]() |
C.![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
6 . 在
中,
为
边上一点.
,
(i)若
,求
;
(ii)求证:
;
(2)若
的面积为
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd95dc30c0344788b94289c464a3158e.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba35cb998b8ecbc900628986b40362e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77973fe66e58ee27ff694afa39a3a317.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157812a2cae422e754216ae6815db411.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ef89a48f3e0c772c323787b9b3e785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
名校
7 . 镜面反射法是测量建筑物高度的重要方法,在如图所示的模型中.已知人眼距离地面高度
,某建筑物高
,将镜子(平面镜)置于平地上,人后退至从镜中能够看到建筑物顶部的位置,测量人与镜子的距离
,将镜子后移
米,重复前面中的操作,再次测量人与镜子的距离
,则镜子后移距离
为______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb51d1c62d17af7365ba25f90ffc762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc1f538c30a7fac0965c1c642599f20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a13a5aef5262e4bd9e6028a5282bc618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c4ba5b051b365ec19d0fa0a4706fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知函数
的部分图象如图所示,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6b53eab9bc542dcbc8d7c9642bd3e8.png)
A.![]() |
B.函数![]() ![]() |
C.函数![]() ![]() ![]() |
D.函数![]() ![]() |
您最近一年使用:0次
9 . 已知
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725321a4e0204c6e213e487ef1b2dca0.png)
(1)若
,求与
共线的单位向量;
(2)求函数
的单调递增区间;
(3)若
,求函数
的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65956dc2c1b45b07fe114e19d76e3c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/425cf2568fc3bece2fe3886b4f4c06c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/725321a4e0204c6e213e487ef1b2dca0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47dd5fc03cf0d593fcf67b5d18d1c2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
您最近一年使用:0次
解题方法
10 . 已知
的内角
所对的边分别是
,点
是
的中点.若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
__________ .
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3853fbf4b48ed1e9782c3ac06952f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0a4fb860f096a4aa44b17ff22ad87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
您最近一年使用:0次
2024-05-14更新
|
340次组卷
|
2卷引用:福建省部分优质高中2023-2024学年高一下学期第二次阶段性检测数学试题