名校
解题方法
1 . 已知
中,角
所对的边分别为
的面积记为
,若
,则( )
![](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/718b5b48053888ab3b234b8cb56a0fc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d6dae531265e6d528cbf1346e41aca.png)
A.![]() |
B.![]() ![]() |
C.![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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名校
解题方法
2 . 已知
是单位向量,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f275a75246b5be5cf179f81267d53f1.png)
在
上的投影向量为
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f275a75246b5be5cf179f81267d53f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169143072a2c2a0ea7062d65735de1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a250997f723ab4ccff9d91e0d810fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:江苏省无锡市辅仁高级中学2023-2024学年高二下学期期中考试数学试题
江苏省无锡市辅仁高级中学2023-2024学年高二下学期期中考试数学试题湖北省新高考联考协作体2024届高三下学期2月收心考试数学试题(已下线)6.2.4 向量的数量积——课后作业(提升版)江苏省无锡市辅仁高级中学2023-2024学年高一下学期期中考试数学试题(已下线)广东省深圳市深圳中学2024届高三二轮四阶测试数学试题江苏省无锡市江阴市两校联考2023-2024学年高一下学期5月阶段检测数学试题
名校
3 . 在
中,内角
所对的边分别是
且
.
(1)求角
;
(2)若
,求边
上的角平分线
长;
(3)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/213914a18e08bdb1821b02bb8d278212.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(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)求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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3卷引用:浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题
4 . 已知双曲线
,点
在
上,
为常数,
.按照如下方式依次构造点
:过
作斜率为
的直线与
的左支交于点
,令
为
关于
轴的对称点,记
的坐标为
.
(1)若
,求
;
(2)证明:数列
是公比为
的等比数列;
(3)设
为
的面积,证明:对任意正整数
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a3771d89c653798f5164c8dcfc94137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7680911a1cc664a88db0a4260c4849c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffbb4e6b92463a41bd9460dac6b1ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85def4eebc99aecdc878cd7c4180b8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb90a2118db1e9945d7b5997bf2482a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6192139c2fa8ac2dcf92c777c93b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcf6192139c2fa8ac2dcf92c777c93b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf83e20035c3afd6d26ebfd53d768a70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c66751ff7fe93ebc69986088141e8c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a2a34b4317deffa40ba34e269c2b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c788875fe76212a7c59d0a9cee345d7.png)
(2)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f33eb7bcdb380fa633771537843b525.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/968a2a65734098f665e104786ec7a990.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f14afef14d8198491b9c43b1b5a0192.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8b306ea5e1ebbb1c2ec9450b3aedb74.png)
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9卷引用:福建省泉州市安溪铭选中学2023-2024学年高二下学期6月份质量检测数学试题
福建省泉州市安溪铭选中学2023-2024学年高二下学期6月份质量检测数学试题2024年新课标全国Ⅱ卷数学真题(已下线)2024年高考数学真题完全解读(新高考Ⅱ卷)专题08平面解析几何(已下线)2024年新课标全国Ⅱ卷数学真题变式题16-19专题08[2837] 平面解析几何(已下线)平面解析几何-综合测试卷B卷(已下线)五年新高考专题10平面解析几何(已下线)三年新高考专题10平面解析几何
名校
解题方法
5 . 已知
是圆O:
的直径,M,N是圆O上两点,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d61985901c2bc698d72ac88f4e1eb65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac144685e50009fa7c9233d85e8bd85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7683ce32fad2ebca39b05a5c13890e.png)
A.0 | B.-2 | C.-4 | D.![]() |
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|
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3卷引用:四川省成都市树德中学2023-2024学年高二下学期期末数学试题
名校
解题方法
6 . 在
中,a,b,c分别是角A,B,C的对边,
:
,
:
,则p是q的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e762fe2dd40d314915682433b2af063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f29c54eb515b3c46d7660188d5f854b.png)
A.充分不必要条件 | B.必要不充分条件 | C.充要条件 | D.既不充分也不必要条件 |
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2024-06-11更新
|
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2卷引用:浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题
名校
7 . 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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4卷引用: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
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(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)
8 . 已知向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78f6720046711719447650c97c351c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1260fbfccb2c549ded380c494dce0f33.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
9 . 已知
.
(1)若
,求函数
的零点;
(2)设
的内角
所对的边分别为
,若
且
.求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d25aefa6250bf0f39c78f1d88f9cfa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffd1f6bd3686a07efa4086a02b96a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](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/b4b1d9be60dcb1c22145d11e2ed48d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd1810555c0c28fe352841322b85bbc6.png)
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10 . 已知
.
(1)求
;
(2)当
为何值时,
与
平行?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d3fc72d4a0fb653ec4d58089d5e188.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bd764def6a96d1f2abd3b89580c5352.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0d6f45010a54e0bfa0b48c90376ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31b07a2081bfaaf77c0062193ab173e.png)
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