解题方法
1 . 已知向量
,且
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1716644f93670fa9ccb83987074374a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4edc4d166651e7ac06eb7ab3b517c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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解题方法
2 . 已知向量
,设
,向量
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3fcd62b075b985b1f045c47a3851415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5844be57c2e0e9555bac62f7d63bf4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ba50bd1f158c4d531b0e442fab3e05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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名校
解题方法
3 . 已知
若
则x=_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194748b2b8bd9f6b7af383577245fd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44550cf9a8d26d7ba494e8111e487c74.png)
您最近一年使用:0次
7日内更新
|
306次组卷
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3卷引用:上海市闵行中学2023-2024学年高一下学期期末考试数学试卷
上海市闵行中学2023-2024学年高一下学期期末考试数学试卷广东省潮州市松昌中学2023-2024学年高一下学期期中考试数学试题(已下线)专题01 平面向量(2)-期末考点大串讲(苏教版(2019))
名校
4 . 已知
,若
与
夹角为锐角,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065f7b523efdd46d8a06dac287fb6ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
5 . 已知向量
.
(1)若
,求实数
的值;
(2)若
,求向量
与
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdfc375d4e3d3f2ef78d391562750e52.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e82afff2681ed19ac5cfd9fb71172ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a335557063547a962ba3d72a1e99361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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23-24高一下·上海·期末
解题方法
6 .
三内角
,
,
所对边的长分别为
,
,
,设向量
,
,若
,则角
的大小为 ______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/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/090904da70d76c97b787bc44948f215d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6107483a497c9ee9e2d4ac298ec0a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb83fac351156d4447cdca7cbd07c194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
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7 . 已知向量
,则下列能使
(
,
)成立的一组向量
,
是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc1805ec3700c2838b450733bbde84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ee56fcc74ee0d3a94207a39a1c42d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d38dc104899f83d74196facbdea76c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f2b1408644b6ab804d0e0205297f54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a13680f71c5f27aeff1e2f8e60739a.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知向量
,若
与
的夹角为锐角,其中
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63246c94f472fc0250ebc2a55efb967d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d804313d1359beaed1783c881ac0d02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
解题方法
9 . 已知
,且
,则实数
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d99286b7103bccaecfc95c7354d6eb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c540df469f16531cf95117446e1752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
10 . 已知向量
,
,则下列结论:
①.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323ee865defc540ee01d279d77a6228a.png)
②.若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebb8de6464971a443b86cf4ffb09d68.png)
③.若
与
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383984a28388825c3e0d6b98decacc98.png)
其中正确结论的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24f726edf8cca26e1011faa7101c506e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56f7b7331d7bc66debf192e0f041f3a.png)
①.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323ee865defc540ee01d279d77a6228a.png)
②.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ebb8de6464971a443b86cf4ffb09d68.png)
③.若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383984a28388825c3e0d6b98decacc98.png)
其中正确结论的有( )
A.1个 | B.2个 | C.3个 | D.0个 |
您最近一年使用:0次
2024-05-04更新
|
219次组卷
|
3卷引用:上海市华东师范大学第一附属中学2023-2024学年高一下学期期中考试数学试卷
上海市华东师范大学第一附属中学2023-2024学年高一下学期期中考试数学试卷(已下线)专题03 平面向量-期末考点大串讲(沪教版2020必修二)河南省安阳市第一中学2023-2024学年高一下学期第二次阶段考试数学试题