名校
1 . 如图,D、E分别是
的边BC的三等分点,设
,
.
![](https://img.xkw.com/dksih/QBM/2020/12/9/2610304280068096/2611403221458944/STEM/71e572ec-f84d-43e5-b7e8-90ff954a5f07.png)
(1)用
分别表示
;
(2)若
,求△ABC的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694a3728ebde723ceb21bf9d90c14055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7502eee6f33e8c940dec63ab6473c52.png)
![](https://img.xkw.com/dksih/QBM/2020/12/9/2610304280068096/2611403221458944/STEM/71e572ec-f84d-43e5-b7e8-90ff954a5f07.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd246148371f6f825f94e68480190f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67f820fc15be66540e3e17c4afa43cc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238673a73dda7a684e65fda5e654c885.png)
您最近一年使用:0次
2020-12-10更新
|
1175次组卷
|
6卷引用:宁夏固原第一中学2021届高三上学期第四次月考数学(理)试题
名校
解题方法
2 . 已知向量
,
,
,且
、
、
分别为
的三边
、
、
所对的角.
(1)求角
的大小;
(2)若
,
,
成等差数列,且
,求
边的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c72ddb41564a7213d0406191cd7c7571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd26c9442fe7f4a67c30ce60bd48812.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306cd78b1b7c60b1751498fc45b09574.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/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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32e2f2d7147cf1699fbfdef9cf4af74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f5a003a47546aa1ab9eedf6c4ab15f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2020-10-11更新
|
918次组卷
|
7卷引用:宁夏吴忠市吴忠中学2022-2023学年高二上学期期中考试数学(理)试题
名校
解题方法
3 . 如图,在
中,
为边
上的一点
,
,
且
与
的夹角为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/79e8634f-a3a8-4982-a54c-dbae4847b9a5.png?resizew=152)
(1)设
,求
,
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2d7ec3ab513b8ce3ca2d7bf7b3ad95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c393c8b385666a9542b8b19653cf0c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a48472e502138c9c1a9cc87f54edf99a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d60dcb171bb7fd972aab8294d63acdb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f68628a408537b1cf3bf1ca2a69731b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/79e8634f-a3a8-4982-a54c-dbae4847b9a5.png?resizew=152)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b461cbe5a345727bc752ef8a063cf7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680b47e9eb79fe5fb05e1df373a8cdd3.png)
您最近一年使用:0次
2020-07-27更新
|
1665次组卷
|
10卷引用:宁夏石嘴山市第一中学2021-2022学年高一上学期期末考试数学试题
宁夏石嘴山市第一中学2021-2022学年高一上学期期末考试数学试题山东省滨州市2019-2020学年高二下学期期末考试数学试题(已下线)第二章+平面向量(基础过关)-2020-2021学年高一数学单元测试定心卷(人教版必修4)福建省泉州市永春第一中学2020-2021学年高一下学期期末数学试题(已下线)福建省厦门市集美中学2020-2021学年高一下学期期末数学试题浙江省杭州市2020-2021学年高一下学期期末数学试题安徽省蚌埠第三中学2020-2021学年高一下学期4月月考数学试题福建省泉州市第七中学2021-2022学年高一下学期期中数学试题山东省青岛市青岛第二中学2022-2023学年高二上学期期中数学试题安徽省合肥市第七中学紫蓬分校(肥西农兴中学)2022-2023学年高一下学期期中考试数学试题
名校
4 . 下列说法正确的个数为( )
①命题“
中,若
,则
”的逆命题是真命题
②若命题
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb891c47254f60880fc3542d1949c3f.png)
③“命题
为真命题”是“命题
为假命题”的充要条件
④设
均为非零向量,则“
”是“
与
的夹角为锐角”的必要不充分条件
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b4908b37cf23de34d38ae7a0bff278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/378ccfe83d84e3f384e92ebdcce11a7b.png)
②若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be4bf7757a5ff14eee68e7091ce410f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb891c47254f60880fc3542d1949c3f.png)
③“命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575feaa04c7836a3743306b6378f9cd6.png)
④设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90eb96b770a4bed15037b68a77eb9667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2020-06-11更新
|
321次组卷
|
2卷引用:2024届宁夏回族自治区银川一中高考三模理科数学试题
名校
解题方法
5 . 八卦是中国文化的基本哲学概念,如图1是八卦模型图,其平面图形记为图2中的正八边形ABCDEFGH,其中OA=1,则下列结论中错误 的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e5374e20-cbe4-4299-a4ec-84923d1a83e3.png?resizew=338)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/e5374e20-cbe4-4299-a4ec-84923d1a83e3.png?resizew=338)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-05-12更新
|
439次组卷
|
8卷引用:宁夏银川三沙源上游学校2022-2023学年高一下学期期中考试数学试题
解题方法
6 . 在边长为2的菱形ABCD中,
,E是BC的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f77f0f76455ffe14e81e7ce79bc019.png)
A.![]() | B.![]() | C.![]() | D.9 |
您最近一年使用:0次
2020-05-12更新
|
242次组卷
|
2卷引用:2020届宁夏石嘴山市高三4月二模数学(理)试题
名校
7 . 若
,
,
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd18461fd9d77e6fa46a654f0ab540f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380ba004eefee58519a21ef1b3370a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知非零向量
,
满足
,且
,
,
的夹角为
,则实数k的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1d640ffc95d433e59cf7021e98992ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9908a1ca1c58b39d993e599274830b41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
A.4 | B.3 | C.2 | D.![]() |
您最近一年使用:0次
2020-03-19更新
|
505次组卷
|
4卷引用:2020届宁夏六盘山高级中学高三下学期第一次模拟考试数学(文)试题
名校
9 . 已知平面向量
的夹角为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869327e4008bd54a12fd43fffd49b176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02c4a5ad4b595f21dc338a2b8e85d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869327e4008bd54a12fd43fffd49b176.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-07-09更新
|
1467次组卷
|
3卷引用:宁夏回族自治区石嘴山市第一中学2018-2019学年高一下学期期末数学试题
名校
10 . 在矩形
中,
与
相交于点
,过点
作
,垂足为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c42e326e569fdb3f12f644bcfc23e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/371b0e7092263cb7373b1e6f506cffd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49c42e326e569fdb3f12f644bcfc23e8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-05-22更新
|
1219次组卷
|
14卷引用:宁夏回族自治区银川市第二中学2019-2020学年高三上学期统练四数学(文)试题
宁夏回族自治区银川市第二中学2019-2020学年高三上学期统练四数学(文)试题【校级联考】江西省新八校2019届高三第二次联考理科数学试题1【校级联考】江西省新八校2019届高三第二次联考理科数学试题2(已下线)专题07 平面向量——2019年高考真题和模拟题文科数学分项汇编(已下线)专题07 平面向量——2019年高考真题和模拟题理科数学分项汇编2019年10月广东省广州市天河区高考数学一模(理)试题(已下线)【新东方】杭州高二数学试卷237人教A版(2019) 必修第二册 过关斩将 第六章 专题强化练1 平面向量数量积及其应用人教A版(2019) 必修第二册 逆袭之路 第六章 6.3.1 平面向量基本定理(已下线)理科数学-6月大数据精选模拟卷03(新课标Ⅲ卷)(满分冲刺篇)(已下线)文科数学-6月大数据精选模拟卷03(新课标Ⅲ卷)(满分冲刺篇)(已下线)考点18 平面向量的数量积-2021年新高考数学一轮复习考点扫描江西省宜春市铜鼓中学2020-2021学年高一(非实验班)下学期第一次月考数学(文)试题安徽省淮南市兴学教育咨询有限公司2023-2024学年高三上学期第二次段考数学模拟试题