名校
1 . 已知平面单位向量
满足
,设
,向量
的夹角为
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111939547e581e8bf029a241b9e9cb05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f82ee44a82a69e23094b6e471c37628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f266e7c7f8ac29af3becfef34964ecd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb55c0af0c1295dfc499f31a3e172b2.png)
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2020-12-03更新
|
509次组卷
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4卷引用:江苏省高邮市2023-2024学年高三下学期3月学情调研测试数学试题
名校
解题方法
2 . 在
中,已知
,
,
,点
是边
的中点,则
的值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40eb326c96c22db416b1f5ec223076f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae15e5357601ddb7e303b56dbe337145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c6a3093cdd379246e6a7d0d4e5f240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3a7e3355ee508b11f19c15e28dfeab.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/a09d8f219bd490c7e8b4aaff5f7c9954.png)
您最近一年使用:0次
2020-03-20更新
|
565次组卷
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6卷引用:江苏省南京市2020届高三9月学情调研数学试题
3 . 在
中,
,
,
,点D为
边上一点,且D为
边上靠近C的三等分点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2abc852338af84ee759178db24bd51.png)
A.8 | B.6 | C.4 | D.2 |
您最近一年使用:0次
2020-05-13更新
|
502次组卷
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6卷引用:江苏省徐州市2020-2021学年高三上学期9月月考数学试题
江苏省徐州市2020-2021学年高三上学期9月月考数学试题湖南省衡阳市衡阳县2018-2019学年高二下学期六科联赛数学(理)试题2020届高三6月质量检测巩固卷数学(文科)试题(已下线)第六单元 数列(B卷 滚动提升检测)-2021年高考数学(文)一轮复习单元滚动双测卷云南省大姚县第一中学2020-2021学年高一4月月考数学试题广东省普宁市华美实验学校2021届高三下学期二模数学试题
解题方法
4 . 已知下列命题中,正确的是( )
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
5 . 在
中,已知
,若点
满足
,
(
),且
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d384e419d31183fd10a3f845f5b466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7366dece62e5d429c30331ad31aaedbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c362787d039865a8e877efa6b5a8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd9736828195f010db4e1f0a9dea7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71327eeca7c2afa2d7db6da051e19fdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
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2020-01-30更新
|
766次组卷
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4卷引用:江苏省无锡市2019-2020学年高一上学期期末数学试题
名校
6 . 在平行四边形
中,
,
为
中点.
(1)若
,且满足
,求
的长;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d0eee2950252fe5340c9e4a2062676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aebababf43bd15d796e6071f2d01445.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d08f0ab6e573253450e03427e13db1.png)
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2021-07-13更新
|
348次组卷
|
3卷引用:江苏省南京师范大学附属中学新高考方向卷2020-2021学年高一下学期期末数学试题
7 . 已知向量
,
,若
,
的夹角为
,则
=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc1a0171524ed73b7a52a9f96ecde272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bde0ec00b93531dc5c8043f9dc031886.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/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c8229ec7ad597a53f17d93f4d0e9a1.png)
您最近一年使用:0次
名校
8 . 如图,在
中,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/1008981c-3828-4d8a-a5aa-f1fee4c0c41d.png?resizew=171)
(1)试用
和
表示
;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7502eee6f33e8c940dec63ab6473c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce08a747949a55bd5d36f007e315f0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5003770c8745c903214ef32c838294.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/3/1008981c-3828-4d8a-a5aa-f1fee4c0c41d.png?resizew=171)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe35c91649a5bea2518387a2b36e0c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041b02bedb8c70bffccaa4b563312590.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a23bad676875fbe3d8c38d5aa6a1a04.png)
您最近一年使用:0次
2019-12-27更新
|
727次组卷
|
4卷引用:江苏省连云港市2018-2019学年高一上学期期末数学试题
2020高三·江苏·专题练习
9 . 已知三角形
的面积是
,
.
(1)求
的值;
(2)若
,当三角形
的周长取得最大值时,求三角形
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515f214fbc585bf384358a2cfaf45c2a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,
与
的夹角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8127bbbabb567dc5ffd6f9d6b70dc01b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5f5bbd930bfb957eff31038b2380f7.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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8127bbbabb567dc5ffd6f9d6b70dc01b.png)
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2021-09-12更新
|
343次组卷
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5卷引用:江苏省苏州市常熟中学2020-2021学年高一下学期3月月考数学试题