1 . 如图,在平行四边形ABCD中,
,
,
,BD,AC相交于点O,M为BO中点.设向量
,
.
(1)求
的值;
(2)用
,
表示
和
;
(3)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a46dc0bb5d8fa33583817e530a5d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfca12290a98993f84d7ee4b8caaa9d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d587e96eb8c73f677da202d5255b690b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/24/9fa20dec-3e94-45a3-b151-931a5fc5e062.png?resizew=181)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1808ac891ca187a416b3391a1ab48.png)
(2)用
![](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/6f54023fbb1f404b2e75d8d494159eae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec6b90286fbc3f01db059fadd8cfa35.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f3fb818140e9faef1749d81d993b01.png)
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2020-02-20更新
|
990次组卷
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7卷引用:北京市第五十五中学2018-2019学年高一下学期期中数学试题
北京市第五十五中学2018-2019学年高一下学期期中数学试题浙江省金华市曙光学校2020-2021学年高一下学期第一次阶段考试数学试题浙江省温州市瑞安市第六中学2021-2022学年高一下学期3月月考数学试题(已下线)5.3 平面向量的应用(精练)-【一隅三反】2023年高考数学一轮复习(基础版)(新高考地区专用)福建省厦门市湖滨中学2022-2023学年高一下学期期中考试数学试题(已下线)重难点01平面向量的实际应用与新定义(1)(已下线)专题6.7 平面向量的综合应用大题专项训练-举一反三系列
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2 . 已知平面向量
,
,
,
,
,
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.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/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcbdff1c18a06f419c34f0c1ef4546f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4424f7a5fde275cc3bba39b242f61154.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ae6bd6fc0a499b8019599d329714ee8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1594d9ff78cdda086bf7013dac8b270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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3 . 已知函数
.
(1)求函数
的定义域;
(2)求函数
当
的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ece4cf801ca84c47a3fb39288372e7c.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881c8f9c11e285c8e191e8f65836e405.png)
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4 . 在
中,内角
,
,
所对的边分别为
,
,
,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614d06d64ccfaf25436dee34e4899516.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.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/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60b97bb18e5ca34d22b5e827316a122a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614d06d64ccfaf25436dee34e4899516.png)
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解题方法
5 . 若非零向量
,
满足
,则向量
与
的夹角为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be26db963d69eff86ca0ac4c13f2cc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614b003a9f14fed694128f681b2f1d91.png)
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2020-02-15更新
|
744次组卷
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3卷引用:2019届北京市第五十五中学高三下学期三模数学(文科)试题
2019届北京市第五十五中学高三下学期三模数学(文科)试题2016届河北省衡水中学高三上学期一调考试理科数学试卷(已下线)6.2.2向量的减法(练习)-【高效课堂】2021-2022学年高一数学下学期同步精讲课件+课后巩固练(人教A版2019必修第二册)
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6 . 已知函数
.
(1)求
的值及函数的最小正周期;
(2)求f(x)在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fcd8c5bfcc9d97ed1f06f5ec25d3df.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92bff061cb1ca10bf9c50037403ae532.png)
(2)求f(x)在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b77857e15ae11fc94a5e33bfc12d26.png)
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7 . 已知函数
,对任意
恒成立,则
可以是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64c9fe1ef358b49ebe2f018a6b411a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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8 .
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4574d050baa044f43876fd50a7f9e6f.png)
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9 . 如图,点
,
,
,
分别是单位圆
上的点,角
、
的终边分别为射线
和射线
,则
表示的值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://img.xkw.com/dksih/QBM/2019/12/22/2367547710046208/2394452906876928/STEM/4b675fc776df4d6b8dcd3000415b71b5.png?resizew=149)
![](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/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/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c09c45d2ea9b4e584617f8e64a5882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://img.xkw.com/dksih/QBM/2019/12/22/2367547710046208/2394452906876928/STEM/4b675fc776df4d6b8dcd3000415b71b5.png?resizew=149)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-02-08更新
|
364次组卷
|
3卷引用:北京市东城区第五中学2019-2020学年高三上学期12月月考数学试题
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10 . 对于非零向量
,“
”是“
”成立的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecea8e671c41e4ce83ec4cc61697ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89879d3524590fe7d253b6e3086de649.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
您最近一年使用:0次
2020-02-08更新
|
301次组卷
|
2卷引用:北京市东城区第五中学2019-2020学年高三上学期12月月考数学试题