名校
1 . 如图,在
中,
,
为
的中点,
与
交于
点.设
,
.
表示
;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8945281a44657d65731ee7bebffa0ac5.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc03a3ba496faee748a8d63e5d4fa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2caf2e65bebc1523f8e89b59a90f2ab.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a4252dcab817612812eae810f6b284.png)
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2023-09-08更新
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315次组卷
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2卷引用:四川省成都市石室中学2023-2024学年高二上学期开学考试数学试题
2 . 向量
,
,其中
,且
,若
的最小正周期为
.
(1)求
的值;
(2)求
在
上的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345b026b665ab89ed51afd73c6488ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d85e79d041f3128fe47228c49e17a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
您最近一年使用:0次
解题方法
3 . 已知点
为
的边
上一点,
.
(1)设
,求
的值,
(2)设
,
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b2f3454155e239039b7df682b51e9d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/7/4e41aedf-5397-4529-8fda-049060aff467.png?resizew=176)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419bec2bb15ceb95999eaee4a451d84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abb8af19019a752de1b9645b016c847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fbdc157deaf54d85aebe61bc4068a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94bb66324cae863880980f5744f365a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27964e6ff5ccfcff357caecd01d22997.png)
您最近一年使用:0次
4 . 已知向量
.
(1)若向量
与
垂直,求实数k的值;
(2)若向量
满足
且
,求向量
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6589d324c6860dbfa25cbd2ba598325.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83c5803cc8c05849028a57c4bd4ee72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40436543cc51f42b5b5d93e55a407ce4.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69a917d46867311a65c8397632c8af9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e8e00c479acd45e112ad9a2d260518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
您最近一年使用:0次
名校
5 . 如图,在中,
,
,点D,E分别在AB,AC上且满足
,
,点F在线段DE上.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9023a0297f4d7a5eb085df96be4b3de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d463b66eacd0205c0f1301dbb8d9aa91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a989aa942219970ec11ccd6ab186d69b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca9839fb275ef28c489bd8bb4b120fe.png)
您最近一年使用:0次
2023-09-04更新
|
207次组卷
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2卷引用:浙江省A9协作体2023-2024学年高二上学期暑假返校联考数学试题
名校
6 . 已知
中,
是边
(含端点)上的动点.
点为
与
的交点,请用
表示
;
(2)若点
使得
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6670f22a033be9698de973360084b8e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3465274419d4c965025a16c3799f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53330c107f8245290a5a42c3d356acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be656083580a03c6481fb75881b84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef2723673c90347f6dd58346278c7fa.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55375aed9b3d370a169e889883102c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3acf551f38311eccdcc325c0d283473.png)
您最近一年使用:0次
2023-08-22更新
|
1133次组卷
|
8卷引用:江苏省苏州市昆山中学2022-2023学年高一(实验班)下学期期末数学试题
江苏省苏州市昆山中学2022-2023学年高一(实验班)下学期期末数学试题江西省吉安市双校联盟2022-2023学年高一下学期期中考试数学试题广西南宁市邕宁高级中学2023-2024学年高二上学期数学测试试题(一)(已下线)期中测试卷01--《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)模块四 专题2 重组综合练(江西)(北师版高一期中)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)江苏省高一下学期期末真题必刷 -期末考点大串讲(苏教版(2019))福建省泉州市安溪第八中学2023-2024学年高一下学期6月份质量检测数学试题
解题方法
7 . 在
中,已知
,
,
,点
为线段
上一动点,设
,
.
(1)当
时,试用
,
表示向量
,并求
;
(2)当
取最小时,求
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71807a35b3170fce28ee6edf4c00d083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4560cee14327be7db916ba73e4055710.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/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f386f5b56b07b96f2600da1be15414a1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0cf3de61b5492989ae2002e19de770a.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/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5261044963385782a53ffdd79710b5e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5261044963385782a53ffdd79710b5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
您最近一年使用:0次
2023-08-06更新
|
162次组卷
|
2卷引用:江苏省徐州市铜山区2022-2023学年高一下学期期中数学试题
名校
8 . 在
中,内角A,B,C的对边分别为a,b,c,向量
,
,且
,
.
(1)求
的大小;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501281a9b905ce259a5de77ab8761fb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13336e1f3b18a0d7740b548585eab01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1191021c938568ec5726fd7f515c12e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace64ee94b858a5d708fa670fc3395c3.png)
您最近一年使用:0次
2023-08-05更新
|
581次组卷
|
2卷引用:广东省深圳市人大附中深圳学校2022-2023学年高一下学期期中数学试题
名校
9 . 已知向量
.
(1)若
,求
和
;
(2)若
与
平行,求实数
的值;
(3)若
与
的夹角为锐角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febbcaafedf2051bb2fc37478bb304a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2023-08-05更新
|
664次组卷
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7卷引用:北京市密云区2022-2023学年高一下学期期末数学试题
北京市密云区2022-2023学年高一下学期期末数学试题北京市怀柔区第一中学2023-2024学年高二上学期开学考试数学试题甘肃省白银市会宁县第四中学2024届高三上学期第一次月考数学试题天津外国语大学附属河北外国语中学2023-2024学年高一下学期第一次月考数学试题(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(1)-举一反三系列(人教A版2019必修第二册)(已下线)专题02 平面向量的坐标运算及平行、垂直关系4种常考题型归类-《期末真题分类汇编》(北京专用)【北京专用】专题05平面向量(第一部分)-高一下学期名校期末好题汇编
10 . 如图,在平行四边形ABCD中,E,F分别为CD,BC的中点,BE与AC,AF分别相交于M,N两点.
,求λ;
(2)若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30fda28e30a3ea63f6b5620cf52493d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c292fc517a49a91a64e3bc3a5dfafd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1905448d38b7465423fe637d700f1552.png)
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2023-08-01更新
|
797次组卷
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6卷引用:江西省南昌市2022-2023学年高一下学期期末调研检测数学试题
江西省南昌市2022-2023学年高一下学期期末调研检测数学试题(已下线)第三节 平面向量的数量积及应用 A素养养成卷(已下线)单元提升卷07 平面向量与复数(已下线)FHsx1225yl157广东省东莞市众美中学2023-2024学年高一下学期3月月考数学试题(已下线)平面向量-综合测试卷B卷